TSTP Solution File: ANA023-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n015.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 19:13:40 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n015.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 : 600
% 0.13/0.34 % DateTime : Fri Jul 8 05:47:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 3749: Facts:
% 0.13/0.34 3749: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.13/0.34 3749: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.13/0.34 3749: Id : 4, {_}:
% 0.13/0.34 ifeq2 (class_OrderedGroup_Ocomm__monoid__add ?10) true
% 0.13/0.34 (c_plus c_0 ?11 ?10) ?11
% 0.13/0.34 =>=
% 0.13/0.34 ?11
% 0.13/0.34 [11, 10] by cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 ?10
% 0.13/0.34 ?11
% 0.13/0.34 3749: Id : 5, {_}:
% 0.13/0.34 ifeq (class_OrderedGroup_Opordered__ab__group__add ?13) true
% 0.13/0.34 (ifeq (c_lessequals ?14 (c_minus ?15 ?16 ?13) ?13) true
% 0.13/0.34 (c_lessequals (c_plus ?14 ?16 ?13) ?15 ?13) true) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [16, 15, 14, 13] by cls_OrderedGroup_Ocompare__rls__9_0 ?13 ?14 ?15
% 0.13/0.34 ?16
% 0.13/0.34 3749: Id : 6, {_}:
% 0.13/0.34 ifeq (class_OrderedGroup_Opordered__ab__group__add ?18) true
% 0.13/0.34 (ifeq (c_lessequals (c_plus ?19 ?20 ?18) ?21 ?18) true
% 0.13/0.34 (c_lessequals ?19 (c_minus ?21 ?20 ?18) ?18) true) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [21, 20, 19, 18] by cls_OrderedGroup_Ocompare__rls__9_1 ?18 ?19 ?20
% 0.13/0.34 ?21
% 0.13/0.34 3749: Id : 7, {_}:
% 0.13/0.34 ifeq (class_Orderings_Oorder ?23) true
% 0.13/0.34 (ifeq (c_lessequals ?24 ?25 ?23) true
% 0.13/0.34 (ifeq (c_lessequals ?25 ?26 ?23) true (c_lessequals ?24 ?26 ?23)
% 0.13/0.34 true) true) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [26, 25, 24, 23] by cls_Orderings_Oorder__class_Oorder__trans_0 ?23
% 0.13/0.34 ?24 ?25 ?26
% 0.13/0.34 3749: Id : 8, {_}:
% 0.13/0.34 c_lessequals c_0 (c_minus (v_k v_x) (v_g v_x) t_b) t_b =>= true
% 0.13/0.34 [] by cls_conjecture_1
% 0.13/0.34 3749: Id : 9, {_}:
% 0.13/0.34 c_lessequals (v_k v_x) (v_f v_x) t_b =>= true
% 0.13/0.34 [] by cls_conjecture_2
% 0.13/0.34 3749: Id : 10, {_}:
% 0.13/0.34 ifeq (class_Orderings_Olinorder ?30) true
% 0.13/0.34 (class_Orderings_Oorder ?30) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [30] by clsrel_Orderings_Olinorder_4 ?30
% 0.13/0.34 3749: Id : 11, {_}:
% 0.13/0.34 ifeq (class_Ring__and__Field_Oordered__idom ?32) true
% 0.13/0.34 (class_OrderedGroup_Ocomm__monoid__add ?32) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [32] by clsrel_Ring__and__Field_Oordered__idom_23 ?32
% 0.13/0.34 3749: Id : 12, {_}:
% 0.13/0.34 ifeq (class_Ring__and__Field_Oordered__idom ?34) true
% 0.13/0.34 (class_Orderings_Olinorder ?34) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [34] by clsrel_Ring__and__Field_Oordered__idom_33 ?34
% 0.13/0.34 3749: Id : 13, {_}:
% 0.13/0.34 ifeq (class_Ring__and__Field_Oordered__idom ?36) true
% 0.13/0.34 (class_OrderedGroup_Opordered__ab__group__add ?36) true
% 0.13/0.34 =>=
% 0.13/0.34 true
% 0.13/0.34 [36] by clsrel_Ring__and__Field_Oordered__idom_54 ?36
% 0.13/0.34 3749: Id : 14, {_}:
% 0.13/0.34 class_Ring__and__Field_Oordered__idom t_b =>= true
% 0.13/0.34 [] by tfree_tcs
% 0.13/0.34 3749: Goal:
% 0.13/0.34 3749: Id : 1, {_}:
% 0.13/0.34 c_lessequals c_0 (c_minus (v_f v_x) (v_g v_x) t_b) t_b =>= true
% 0.13/0.34 [] by cls_conjecture_3
% 0.13/0.36 Statistics :
% 0.13/0.36 Max weight : 33
% 0.13/0.36 Found proof, 0.016338s
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark.p
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark.p
% 0.13/0.36 Id : 9, {_}: c_lessequals (v_k v_x) (v_f v_x) t_b =>= true [] by cls_conjecture_2
% 0.13/0.36 Id : 12, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?34) true (class_Orderings_Olinorder ?34) true =>= true [34] by clsrel_Ring__and__Field_Oordered__idom_33 ?34
% 0.13/0.36 Id : 10, {_}: ifeq (class_Orderings_Olinorder ?30) true (class_Orderings_Oorder ?30) true =>= true [30] by clsrel_Orderings_Olinorder_4 ?30
% 0.13/0.36 Id : 8, {_}: c_lessequals c_0 (c_minus (v_k v_x) (v_g v_x) t_b) t_b =>= true [] by cls_conjecture_1
% 0.13/0.36 Id : 5, {_}: ifeq (class_OrderedGroup_Opordered__ab__group__add ?13) true (ifeq (c_lessequals ?14 (c_minus ?15 ?16 ?13) ?13) true (c_lessequals (c_plus ?14 ?16 ?13) ?15 ?13) true) true =>= true [16, 15, 14, 13] by cls_OrderedGroup_Ocompare__rls__9_0 ?13 ?14 ?15 ?16
% 0.13/0.36 Id : 7, {_}: ifeq (class_Orderings_Oorder ?23) true (ifeq (c_lessequals ?24 ?25 ?23) true (ifeq (c_lessequals ?25 ?26 ?23) true (c_lessequals ?24 ?26 ?23) true) true) true =>= true [26, 25, 24, 23] by cls_Orderings_Oorder__class_Oorder__trans_0 ?23 ?24 ?25 ?26
% 0.13/0.36 Id : 13, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?36) true (class_OrderedGroup_Opordered__ab__group__add ?36) true =>= true [36] by clsrel_Ring__and__Field_Oordered__idom_54 ?36
% 0.13/0.36 Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.13/0.36 Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.13/0.36 Id : 14, {_}: class_Ring__and__Field_Oordered__idom t_b =>= true [] by tfree_tcs
% 0.13/0.36 Id : 11, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?32) true (class_OrderedGroup_Ocomm__monoid__add ?32) true =>= true [32] by clsrel_Ring__and__Field_Oordered__idom_23 ?32
% 0.13/0.36 Id : 4, {_}: ifeq2 (class_OrderedGroup_Ocomm__monoid__add ?10) true (c_plus c_0 ?11 ?10) ?11 =>= ?11 [11, 10] by cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 ?10 ?11
% 0.13/0.36 Id : 6, {_}: ifeq (class_OrderedGroup_Opordered__ab__group__add ?18) true (ifeq (c_lessequals (c_plus ?19 ?20 ?18) ?21 ?18) true (c_lessequals ?19 (c_minus ?21 ?20 ?18) ?18) true) true =>= true [21, 20, 19, 18] by cls_OrderedGroup_Ocompare__rls__9_1 ?18 ?19 ?20 ?21
% 0.13/0.36 Id : 53, {_}: ifeq true true (class_OrderedGroup_Ocomm__monoid__add t_b) true =>= true [] by Super 11 with 14 at 1,2
% 0.13/0.36 Id : 58, {_}: class_OrderedGroup_Ocomm__monoid__add t_b =>= true [] by Demod 53 with 3 at 2
% 0.13/0.36 Id : 69, {_}: ifeq2 true true (c_plus c_0 ?120 t_b) ?120 =>= ?120 [120] by Super 4 with 58 at 1,2
% 0.13/0.36 Id : 75, {_}: c_plus c_0 ?120 t_b =>= ?120 [120] by Demod 69 with 2 at 2
% 0.13/0.36 Id : 92, {_}: ifeq (class_OrderedGroup_Opordered__ab__group__add t_b) true (ifeq (c_lessequals ?141 ?142 t_b) true (c_lessequals c_0 (c_minus ?142 ?141 t_b) t_b) true) true =>= true [142, 141] by Super 6 with 75 at 1,1,3,2
% 0.13/0.36 Id : 54, {_}: ifeq true true (class_OrderedGroup_Opordered__ab__group__add t_b) true =>= true [] by Super 13 with 14 at 1,2
% 0.13/0.36 Id : 57, {_}: class_OrderedGroup_Opordered__ab__group__add t_b =>= true [] by Demod 54 with 3 at 2
% 0.13/0.36 Id : 95, {_}: ifeq true true (ifeq (c_lessequals ?141 ?142 t_b) true (c_lessequals c_0 (c_minus ?142 ?141 t_b) t_b) true) true =>= true [142, 141] by Demod 92 with 57 at 1,2
% 0.13/0.36 Id : 175, {_}: ifeq (c_lessequals ?196 ?197 t_b) true (c_lessequals c_0 (c_minus ?197 ?196 t_b) t_b) true =>= true [197, 196] by Demod 95 with 3 at 2
% 0.13/0.36 Id : 28, {_}: ifeq (class_OrderedGroup_Opordered__ab__group__add t_b) true (ifeq true true (c_lessequals (c_plus c_0 (v_g v_x) t_b) (v_k v_x) t_b) true) true =>= true [] by Super 5 with 8 at 1,3,2
% 0.13/0.36 Id : 36, {_}: ifeq (class_OrderedGroup_Opordered__ab__group__add t_b) true (c_lessequals (c_plus c_0 (v_g v_x) t_b) (v_k v_x) t_b) true =>= true [] by Demod 28 with 3 at 3,2
% 0.13/0.36 Id : 101, {_}: ifeq true true (c_lessequals (c_plus c_0 (v_g v_x) t_b) (v_k v_x) t_b) true =>= true [] by Demod 36 with 57 at 1,2
% 0.13/0.36 Id : 102, {_}: ifeq true true (c_lessequals (v_g v_x) (v_k v_x) t_b) true =>= true [] by Demod 101 with 75 at 1,3,2
% 0.13/0.36 Id : 103, {_}: c_lessequals (v_g v_x) (v_k v_x) t_b =>= true [] by Demod 102 with 3 at 2
% 0.13/0.36 Id : 106, {_}: ifeq (class_Orderings_Oorder t_b) true (ifeq true true (ifeq (c_lessequals (v_k v_x) ?152 t_b) true (c_lessequals (v_g v_x) ?152 t_b) true) true) true =>= true [152] by Super 7 with 103 at 1,3,2
% 0.13/0.36 Id : 52, {_}: ifeq true true (class_Orderings_Olinorder t_b) true =>= true [] by Super 12 with 14 at 1,2
% 0.13/0.36 Id : 59, {_}: class_Orderings_Olinorder t_b =>= true [] by Demod 52 with 3 at 2
% 0.13/0.36 Id : 76, {_}: ifeq true true (class_Orderings_Oorder t_b) true =>= true [] by Super 10 with 59 at 1,2
% 0.13/0.36 Id : 82, {_}: class_Orderings_Oorder t_b =>= true [] by Demod 76 with 3 at 2
% 0.13/0.36 Id : 114, {_}: ifeq true true (ifeq true true (ifeq (c_lessequals (v_k v_x) ?152 t_b) true (c_lessequals (v_g v_x) ?152 t_b) true) true) true =>= true [152] by Demod 106 with 82 at 1,2
% 0.13/0.36 Id : 115, {_}: ifeq true true (ifeq (c_lessequals (v_k v_x) ?152 t_b) true (c_lessequals (v_g v_x) ?152 t_b) true) true =>= true [152] by Demod 114 with 3 at 3,2
% 0.13/0.36 Id : 123, {_}: ifeq (c_lessequals (v_k v_x) ?163 t_b) true (c_lessequals (v_g v_x) ?163 t_b) true =>= true [163] by Demod 115 with 3 at 2
% 0.13/0.36 Id : 125, {_}: ifeq true true (c_lessequals (v_g v_x) (v_f v_x) t_b) true =>= true [] by Super 123 with 9 at 1,2
% 0.13/0.36 Id : 131, {_}: c_lessequals (v_g v_x) (v_f v_x) t_b =>= true [] by Demod 125 with 3 at 2
% 0.13/0.36 Id : 180, {_}: ifeq true true (c_lessequals c_0 (c_minus (v_f v_x) (v_g v_x) t_b) t_b) true =>= true [] by Super 175 with 131 at 1,2
% 0.13/0.36 Id : 188, {_}: c_lessequals c_0 (c_minus (v_f v_x) (v_g v_x) t_b) t_b =>= true [] by Demod 180 with 3 at 2
% 0.13/0.36 Id : 249, {_}: true === true [] by Demod 1 with 188 at 2
% 0.13/0.36 Id : 1, {_}: c_lessequals c_0 (c_minus (v_f v_x) (v_g v_x) t_b) t_b =>= true [] by cls_conjecture_3
% 0.13/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.36 3752: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.019795 using nrkbo
%------------------------------------------------------------------------------