TSTP Solution File: ANA034-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% 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 19:13:47 EDT 2022
% Result : Unsatisfiable 1.36s 0.66s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA034-10 : TPTP v8.1.0. Released v7.3.0.
% 0.13/0.13 % 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 03:58:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.35 24640: Facts:
% 0.20/0.35 24640: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.20/0.35 24640: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.20/0.35 24640: Id : 4, {_}:
% 0.20/0.35 ifeq2 (class_Ring__and__Field_Oordered__idom ?10) true
% 0.20/0.35 (c_times (c_HOL_Oabs ?11 ?10) (c_HOL_Oabs ?12 ?10) ?10)
% 0.20/0.35 (c_HOL_Oabs (c_times ?11 ?12 ?10) ?10)
% 0.20/0.35 =>=
% 0.20/0.35 c_HOL_Oabs (c_times ?11 ?12 ?10) ?10
% 0.20/0.35 [12, 11, 10] by cls_Ring__and__Field_Oabs__mult_0 ?10 ?11 ?12
% 0.20/0.35 24640: Id : 5, {_}:
% 0.20/0.35 ifeq (c_lessequals c_0 ?14 ?15) true
% 0.20/0.35 (ifeq (c_lessequals c_0 ?16 ?15) true
% 0.20/0.35 (ifeq (c_lessequals ?17 ?14 ?15) true
% 0.20/0.35 (ifeq (c_lessequals ?16 ?18 ?15) true
% 0.20/0.35 (ifeq (class_Ring__and__Field_Opordered__semiring ?15) true
% 0.20/0.35 (c_lessequals (c_times ?17 ?16 ?15) (c_times ?14 ?18 ?15)
% 0.20/0.35 ?15) true) true) true) true) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [18, 17, 16, 15, 14] by cls_Ring__and__Field_Omult__mono_0 ?14 ?15
% 0.20/0.35 ?16 ?17 ?18
% 0.20/0.35 24640: Id : 6, {_}:
% 0.20/0.35 ifeq (class_Ring__and__Field_Opordered__cancel__semiring ?20) true
% 0.20/0.35 (ifeq (c_lessequals c_0 ?21 ?20) true
% 0.20/0.35 (ifeq (c_lessequals c_0 ?22 ?20) true
% 0.20/0.35 (c_lessequals c_0 (c_times ?21 ?22 ?20) ?20) true) true) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [22, 21, 20] by cls_Ring__and__Field_Omult__nonneg__nonneg_0 ?20 ?21
% 0.20/0.35 ?22
% 0.20/0.35 24640: Id : 7, {_}:
% 0.20/0.35 ifeq (c_less ?24 ?25 ?26) true
% 0.20/0.35 (ifeq (class_Orderings_Oorder ?26) true (c_lessequals ?24 ?25 ?26)
% 0.20/0.35 true) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [26, 25, 24] by cls_Orderings_Oorder__less__imp__le_0 ?24 ?25 ?26
% 0.20/0.35 24640: Id : 8, {_}:
% 0.20/0.35 ifeq (class_OrderedGroup_Olordered__ab__group__abs ?28) true
% 0.20/0.35 (c_lessequals c_0 (c_HOL_Oabs ?29 ?28) ?28) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [29, 28] by cls_OrderedGroup_Oabs__ge__zero_0 ?28 ?29
% 0.20/0.35 24640: Id : 9, {_}: c_less c_0 v_c t_b =>= true [] by cls_conjecture_0
% 0.20/0.35 24640: Id : 10, {_}:
% 0.20/0.35 c_lessequals (c_HOL_Oabs (v_a v_x) t_b)
% 0.20/0.35 (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) t_b
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [] by cls_conjecture_2
% 0.20/0.35 24640: Id : 11, {_}:
% 0.20/0.35 c_lessequals (c_HOL_Oabs (v_b v_x) t_b)
% 0.20/0.35 (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [] by cls_conjecture_3
% 0.20/0.35 24640: Id : 12, {_}:
% 0.20/0.35 c_times (c_times v_c v_ca t_b)
% 0.20/0.35 (c_HOL_Oabs (c_times (v_f v_x) (v_g v_x) t_b) t_b) t_b
% 0.20/0.35 =<=
% 0.20/0.35 c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b)
% 0.20/0.35 (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b
% 0.20/0.35 [] by cls_conjecture_4
% 0.20/0.35 24640: Id : 13, {_}:
% 0.20/0.35 class_Ring__and__Field_Oordered__idom t_b =>= true
% 0.20/0.35 [] by tfree_tcs
% 0.20/0.35 24640: Id : 14, {_}:
% 0.20/0.35 ifeq (class_OrderedGroup_Olordered__ab__group__abs ?36) true
% 0.20/0.35 (class_Orderings_Oorder ?36) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [36] by clsrel_OrderedGroup_Olordered__ab__group__abs_17 ?36
% 0.20/0.35 24640: Id : 15, {_}:
% 0.20/0.35 ifeq (class_Ring__and__Field_Oordered__idom ?38) true
% 0.20/0.35 (class_Ring__and__Field_Opordered__cancel__semiring ?38) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [38] by clsrel_Ring__and__Field_Oordered__idom_40 ?38
% 0.20/0.35 24640: Id : 16, {_}:
% 0.20/0.35 ifeq (class_Ring__and__Field_Oordered__idom ?40) true
% 0.20/0.35 (class_Ring__and__Field_Opordered__semiring ?40) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [40] by clsrel_Ring__and__Field_Oordered__idom_42 ?40
% 0.20/0.35 24640: Id : 17, {_}:
% 0.20/0.35 ifeq (class_Ring__and__Field_Oordered__idom ?42) true
% 0.20/0.35 (class_OrderedGroup_Olordered__ab__group__abs ?42) true
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [42] by clsrel_Ring__and__Field_Oordered__idom_50 ?42
% 0.20/0.35 24640: Goal:
% 0.20/0.35 24640: Id : 1, {_}:
% 0.20/0.35 c_lessequals (c_HOL_Oabs (c_times (v_a v_x) (v_b v_x) t_b) t_b)
% 0.20/0.35 (c_times (c_times v_c v_ca t_b)
% 0.20/0.35 (c_HOL_Oabs (c_times (v_f v_x) (v_g v_x) t_b) t_b) t_b) t_b
% 0.20/0.35 =>=
% 0.20/0.35 true
% 0.20/0.35 [] by cls_conjecture_5
% 1.36/0.66 Statistics :
% 1.36/0.66 Max weight : 61
% 1.36/0.66 Found proof, 0.310482s
% 1.36/0.66 % SZS status Unsatisfiable for theBenchmark.p
% 1.36/0.66 % SZS output start CNFRefutation for theBenchmark.p
% 1.36/0.66 Id : 12, {_}: c_times (c_times v_c v_ca t_b) (c_HOL_Oabs (c_times (v_f v_x) (v_g v_x) t_b) t_b) t_b =<= c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b [] by cls_conjecture_4
% 1.36/0.66 Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 1.36/0.66 Id : 4, {_}: ifeq2 (class_Ring__and__Field_Oordered__idom ?10) true (c_times (c_HOL_Oabs ?11 ?10) (c_HOL_Oabs ?12 ?10) ?10) (c_HOL_Oabs (c_times ?11 ?12 ?10) ?10) =>= c_HOL_Oabs (c_times ?11 ?12 ?10) ?10 [12, 11, 10] by cls_Ring__and__Field_Oabs__mult_0 ?10 ?11 ?12
% 1.36/0.66 Id : 11, {_}: c_lessequals (c_HOL_Oabs (v_b v_x) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b =>= true [] by cls_conjecture_3
% 1.36/0.66 Id : 67, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?128) true (class_Ring__and__Field_Opordered__semiring ?128) true =>= true [128] by clsrel_Ring__and__Field_Oordered__idom_42 ?128
% 1.36/0.66 Id : 14, {_}: ifeq (class_OrderedGroup_Olordered__ab__group__abs ?36) true (class_Orderings_Oorder ?36) true =>= true [36] by clsrel_OrderedGroup_Olordered__ab__group__abs_17 ?36
% 1.36/0.66 Id : 9, {_}: c_less c_0 v_c t_b =>= true [] by cls_conjecture_0
% 1.36/0.66 Id : 7, {_}: ifeq (c_less ?24 ?25 ?26) true (ifeq (class_Orderings_Oorder ?26) true (c_lessequals ?24 ?25 ?26) true) true =>= true [26, 25, 24] by cls_Orderings_Oorder__less__imp__le_0 ?24 ?25 ?26
% 1.36/0.66 Id : 63, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?124) true (class_Ring__and__Field_Opordered__cancel__semiring ?124) true =>= true [124] by clsrel_Ring__and__Field_Oordered__idom_40 ?124
% 1.36/0.66 Id : 13, {_}: class_Ring__and__Field_Oordered__idom t_b =>= true [] by tfree_tcs
% 1.36/0.66 Id : 71, {_}: ifeq (class_Ring__and__Field_Oordered__idom ?132) true (class_OrderedGroup_Olordered__ab__group__abs ?132) true =>= true [132] by clsrel_Ring__and__Field_Oordered__idom_50 ?132
% 1.36/0.66 Id : 8, {_}: ifeq (class_OrderedGroup_Olordered__ab__group__abs ?28) true (c_lessequals c_0 (c_HOL_Oabs ?29 ?28) ?28) true =>= true [29, 28] by cls_OrderedGroup_Oabs__ge__zero_0 ?28 ?29
% 1.36/0.66 Id : 6, {_}: ifeq (class_Ring__and__Field_Opordered__cancel__semiring ?20) true (ifeq (c_lessequals c_0 ?21 ?20) true (ifeq (c_lessequals c_0 ?22 ?20) true (c_lessequals c_0 (c_times ?21 ?22 ?20) ?20) true) true) true =>= true [22, 21, 20] by cls_Ring__and__Field_Omult__nonneg__nonneg_0 ?20 ?21 ?22
% 1.36/0.66 Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 1.36/0.66 Id : 10, {_}: c_lessequals (c_HOL_Oabs (v_a v_x) t_b) (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) t_b =>= true [] by cls_conjecture_2
% 1.36/0.66 Id : 5, {_}: ifeq (c_lessequals c_0 ?14 ?15) true (ifeq (c_lessequals c_0 ?16 ?15) true (ifeq (c_lessequals ?17 ?14 ?15) true (ifeq (c_lessequals ?16 ?18 ?15) true (ifeq (class_Ring__and__Field_Opordered__semiring ?15) true (c_lessequals (c_times ?17 ?16 ?15) (c_times ?14 ?18 ?15) ?15) true) true) true) true) true =>= true [18, 17, 16, 15, 14] by cls_Ring__and__Field_Omult__mono_0 ?14 ?15 ?16 ?17 ?18
% 1.36/0.66 Id : 37, {_}: ifeq (c_lessequals c_0 (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) t_b) true (ifeq (c_lessequals c_0 ?91 t_b) true (ifeq true true (ifeq (c_lessequals ?91 ?92 t_b) true (ifeq (class_Ring__and__Field_Opordered__semiring t_b) true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?91 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?92 t_b) t_b) true) true) true) true) true =>= true [92, 91] by Super 5 with 10 at 1,3,3,2
% 1.36/0.66 Id : 42, {_}: ifeq (c_lessequals c_0 (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) t_b) true (ifeq (c_lessequals c_0 ?91 t_b) true (ifeq (c_lessequals ?91 ?92 t_b) true (ifeq (class_Ring__and__Field_Opordered__semiring t_b) true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?91 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?92 t_b) t_b) true) true) true) true =>= true [92, 91] by Demod 37 with 3 at 3,3,2
% 1.36/0.66 Id : 72, {_}: ifeq true true (class_OrderedGroup_Olordered__ab__group__abs t_b) true =>= true [] by Super 71 with 13 at 1,2
% 1.36/0.66 Id : 74, {_}: class_OrderedGroup_Olordered__ab__group__abs t_b =>= true [] by Demod 72 with 3 at 2
% 1.36/0.66 Id : 95, {_}: ifeq true true (c_lessequals c_0 (c_HOL_Oabs ?154 t_b) t_b) true =>= true [154] by Super 8 with 74 at 1,2
% 1.36/0.66 Id : 100, {_}: c_lessequals c_0 (c_HOL_Oabs ?154 t_b) t_b =>= true [154] by Demod 95 with 3 at 2
% 1.36/0.66 Id : 113, {_}: ifeq (class_Ring__and__Field_Opordered__cancel__semiring t_b) true (ifeq (c_lessequals c_0 ?166 t_b) true (ifeq true true (c_lessequals c_0 (c_times ?166 (c_HOL_Oabs ?167 t_b) t_b) t_b) true) true) true =>= true [167, 166] by Super 6 with 100 at 1,3,3,2
% 1.36/0.66 Id : 64, {_}: ifeq true true (class_Ring__and__Field_Opordered__cancel__semiring t_b) true =>= true [] by Super 63 with 13 at 1,2
% 1.36/0.66 Id : 66, {_}: class_Ring__and__Field_Opordered__cancel__semiring t_b =>= true [] by Demod 64 with 3 at 2
% 1.36/0.66 Id : 138, {_}: ifeq true true (ifeq (c_lessequals c_0 ?166 t_b) true (ifeq true true (c_lessequals c_0 (c_times ?166 (c_HOL_Oabs ?167 t_b) t_b) t_b) true) true) true =>= true [167, 166] by Demod 113 with 66 at 1,2
% 1.36/0.66 Id : 139, {_}: ifeq true true (ifeq (c_lessequals c_0 ?166 t_b) true (c_lessequals c_0 (c_times ?166 (c_HOL_Oabs ?167 t_b) t_b) t_b) true) true =>= true [167, 166] by Demod 138 with 3 at 3,3,2
% 1.36/0.66 Id : 197, {_}: ifeq (c_lessequals c_0 ?239 t_b) true (c_lessequals c_0 (c_times ?239 (c_HOL_Oabs ?240 t_b) t_b) t_b) true =>= true [240, 239] by Demod 139 with 3 at 2
% 1.36/0.66 Id : 32, {_}: ifeq true true (ifeq (class_Orderings_Oorder t_b) true (c_lessequals c_0 v_c t_b) true) true =>= true [] by Super 7 with 9 at 1,2
% 1.36/0.66 Id : 35, {_}: ifeq (class_Orderings_Oorder t_b) true (c_lessequals c_0 v_c t_b) true =>= true [] by Demod 32 with 3 at 2
% 1.36/0.66 Id : 96, {_}: ifeq true true (class_Orderings_Oorder t_b) true =>= true [] by Super 14 with 74 at 1,2
% 1.36/0.66 Id : 99, {_}: class_Orderings_Oorder t_b =>= true [] by Demod 96 with 3 at 2
% 1.36/0.66 Id : 103, {_}: ifeq true true (c_lessequals c_0 v_c t_b) true =>= true [] by Demod 35 with 99 at 1,2
% 1.36/0.66 Id : 104, {_}: c_lessequals c_0 v_c t_b =>= true [] by Demod 103 with 3 at 2
% 1.36/0.66 Id : 200, {_}: ifeq true true (c_lessequals c_0 (c_times v_c (c_HOL_Oabs ?248 t_b) t_b) t_b) true =>= true [248] by Super 197 with 104 at 1,2
% 1.36/0.66 Id : 212, {_}: c_lessequals c_0 (c_times v_c (c_HOL_Oabs ?248 t_b) t_b) t_b =>= true [248] by Demod 200 with 3 at 2
% 1.36/0.66 Id : 577, {_}: ifeq true true (ifeq (c_lessequals c_0 ?91 t_b) true (ifeq (c_lessequals ?91 ?92 t_b) true (ifeq (class_Ring__and__Field_Opordered__semiring t_b) true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?91 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?92 t_b) t_b) true) true) true) true =>= true [92, 91] by Demod 42 with 212 at 1,2
% 1.36/0.66 Id : 68, {_}: ifeq true true (class_Ring__and__Field_Opordered__semiring t_b) true =>= true [] by Super 67 with 13 at 1,2
% 1.36/0.66 Id : 70, {_}: class_Ring__and__Field_Opordered__semiring t_b =>= true [] by Demod 68 with 3 at 2
% 1.36/0.66 Id : 578, {_}: ifeq true true (ifeq (c_lessequals c_0 ?91 t_b) true (ifeq (c_lessequals ?91 ?92 t_b) true (ifeq true true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?91 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?92 t_b) t_b) true) true) true) true =>= true [92, 91] by Demod 577 with 70 at 1,3,3,3,2
% 1.36/0.66 Id : 579, {_}: ifeq (c_lessequals c_0 ?91 t_b) true (ifeq (c_lessequals ?91 ?92 t_b) true (ifeq true true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?91 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?92 t_b) t_b) true) true) true =>= true [92, 91] by Demod 578 with 3 at 2
% 1.36/0.66 Id : 581, {_}: ifeq (c_lessequals c_0 ?620 t_b) true (ifeq (c_lessequals ?620 ?621 t_b) true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) ?620 t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) ?621 t_b) t_b) true) true =>= true [621, 620] by Demod 579 with 3 at 3,3,2
% 1.36/0.66 Id : 585, {_}: ifeq (c_lessequals c_0 (c_HOL_Oabs (v_b v_x) t_b) t_b) true (ifeq true true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) (c_HOL_Oabs (v_b v_x) t_b) t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b) t_b) true) true =>= true [] by Super 581 with 11 at 1,3,2
% 1.36/0.66 Id : 609, {_}: ifeq true true (ifeq true true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) (c_HOL_Oabs (v_b v_x) t_b) t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b) t_b) true) true =>= true [] by Demod 585 with 100 at 1,2
% 1.36/0.66 Id : 610, {_}: ifeq true true (c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) (c_HOL_Oabs (v_b v_x) t_b) t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b) t_b) true =>= true [] by Demod 609 with 3 at 3,2
% 1.36/0.66 Id : 611, {_}: c_lessequals (c_times (c_HOL_Oabs (v_a v_x) t_b) (c_HOL_Oabs (v_b v_x) t_b) t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b) t_b =>= true [] by Demod 610 with 3 at 2
% 1.36/0.66 Id : 57, {_}: ifeq2 true true (c_times (c_HOL_Oabs ?116 t_b) (c_HOL_Oabs ?117 t_b) t_b) (c_HOL_Oabs (c_times ?116 ?117 t_b) t_b) =>= c_HOL_Oabs (c_times ?116 ?117 t_b) t_b [117, 116] by Super 4 with 13 at 1,2
% 1.36/0.66 Id : 60, {_}: c_times (c_HOL_Oabs ?116 t_b) (c_HOL_Oabs ?117 t_b) t_b =>= c_HOL_Oabs (c_times ?116 ?117 t_b) t_b [117, 116] by Demod 57 with 2 at 2
% 1.36/0.66 Id : 612, {_}: c_lessequals (c_HOL_Oabs (c_times (v_a v_x) (v_b v_x) t_b) t_b) (c_times (c_times v_c (c_HOL_Oabs (v_f v_x) t_b) t_b) (c_times v_ca (c_HOL_Oabs (v_g v_x) t_b) t_b) t_b) t_b =>= true [] by Demod 611 with 60 at 1,2
% 1.36/0.66 Id : 613, {_}: c_lessequals (c_HOL_Oabs (c_times (v_a v_x) (v_b v_x) t_b) t_b) (c_times (c_times v_c v_ca t_b) (c_HOL_Oabs (c_times (v_f v_x) (v_g v_x) t_b) t_b) t_b) t_b =>= true [] by Demod 612 with 12 at 2,2
% 1.36/0.66 Id : 4324, {_}: true === true [] by Demod 1 with 613 at 2
% 1.36/0.66 Id : 1, {_}: c_lessequals (c_HOL_Oabs (c_times (v_a v_x) (v_b v_x) t_b) t_b) (c_times (c_times v_c v_ca t_b) (c_HOL_Oabs (c_times (v_f v_x) (v_g v_x) t_b) t_b) t_b) t_b =>= true [] by cls_conjecture_5
% 1.36/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.36/0.66 24642: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.315377 using lpo
%------------------------------------------------------------------------------