TSTP Solution File: ANA029-2 by PyRes---1.3
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%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 : 600s
% DateTime : Thu Jul 14 19:22:53 EDT 2022
% Result : Unsatisfiable 8.40s 8.57s
% Output : Refutation 8.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% 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),
input ).
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),
input ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
input ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| class_Orderings_Olinorder(X3) ),
input ).
cnf(c0,plain,
class_Orderings_Olinorder(t_b),
inference(resolution,status(thm),[clsrel_Ring__and__Field_Oordered__idom_33,tfree_tcs]) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X4)
| class_OrderedGroup_Olordered__ab__group__abs(X4) ),
input ).
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(X6)
| c_lessequals(c_0,c_HOL_Oabs(X7,X6),X6) ),
input ).
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_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( ~ class_Orderings_Olinorder(X31)
| ~ c_lessequals(X30,X32,X31)
| ~ c_lessequals(X33,X32,X31)
| c_lessequals(c_Orderings_Omax(X33,X30,X31),X32,X31) ),
input ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_10,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| class_Orderings_Oorder(X2) ),
input ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X5)
| class_OrderedGroup_Opordered__ab__group__add(X5) ),
input ).
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(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X10)
| c_less(X9,X11,X10)
| c_lessequals(X11,X9,X10) ),
input ).
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(X15)
| ~ c_less(X16,X14,X15)
| c_lessequals(X16,X14,X15) ),
input ).
cnf(c8,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X18,X17,t_b)
| c_lessequals(X17,X18,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(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X36)
| ~ c_lessequals(X35,X37,X36)
| ~ c_lessequals(X38,X35,X36)
| c_lessequals(X38,X37,X36) ),
input ).
cnf(c33,plain,
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_HOL_Oabs(X59,t_b),X58,t_b)
| c_lessequals(c_0,X58,t_b) ),
inference(resolution,status(thm),[cls_Orderings_Oorder__class_Oorder__trans_0,c4]) ).
cnf(c95,plain,
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(c_0,X79,t_b)
| c_lessequals(X79,c_HOL_Oabs(X80,t_b),t_b) ),
inference(resolution,status(thm),[c33,c9]) ).
cnf(c149,plain,
( c_lessequals(c_0,X82,t_b)
| c_lessequals(X82,c_HOL_Oabs(X81,t_b),t_b) ),
inference(resolution,status(thm),[c95,c3]) ).
cnf(c161,plain,
( c_lessequals(c_0,X792,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X791,c_HOL_Oabs(X793,t_b),t_b)
| c_lessequals(c_Orderings_Omax(X792,X791,t_b),c_HOL_Oabs(X793,t_b),t_b) ),
inference(resolution,status(thm),[c149,cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2]) ).
cnf(c6420,plain,
( c_lessequals(c_0,X1710,t_b)
| ~ class_Orderings_Olinorder(t_b)
| c_lessequals(c_Orderings_Omax(X1710,c_0,t_b),c_HOL_Oabs(X1711,t_b),t_b) ),
inference(resolution,status(thm),[c161,c4]) ).
cnf(c20677,plain,
( c_lessequals(c_0,X1712,t_b)
| c_lessequals(c_Orderings_Omax(X1712,c_0,t_b),c_HOL_Oabs(X1713,t_b),t_b) ),
inference(resolution,status(thm),[c6420,c0]) ).
cnf(c20741,plain,
c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b),
inference(resolution,status(thm),[c20677,cls_conjecture_3]) ).
cnf(c20823,plain,
$false,
inference(resolution,status(thm),[c20741,cls_conjecture_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ANA029-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 04:05:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.40/8.57 # Version: 1.3
% 8.40/8.57 # SZS status Unsatisfiable
% 8.40/8.57 # SZS output start CNFRefutation
% See solution above
% 8.40/8.57
% 8.40/8.57 # Initial clauses : 14
% 8.40/8.57 # Processed clauses : 596
% 8.40/8.57 # Factors computed : 52
% 8.40/8.57 # Resolvents computed: 20780
% 8.40/8.57 # Tautologies deleted: 1
% 8.40/8.57 # Forward subsumed : 337
% 8.40/8.57 # Backward subsumed : 227
% 8.40/8.57 # -------- CPU Time ---------
% 8.40/8.57 # User time : 8.151 s
% 8.40/8.57 # System time : 0.071 s
% 8.40/8.57 # Total time : 8.222 s
%------------------------------------------------------------------------------