TSTP Solution File: LAT268-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.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 : Sun Jul 17 05:56:52 EDT 2022
% Result : Unsatisfiable 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT268-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 19:32:12 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 3523: Facts:
% 0.14/0.36 3523: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.14/0.36 3523: Id : 3, {_}:
% 0.14/0.36 c_lessequals v_S v_A (tc_set t_a) =>= true
% 0.14/0.36 [] by cls_conjecture_0
% 0.14/0.36 3523: Id : 4, {_}: c_in v_x v_S t_a =>= true [] by cls_conjecture_1
% 0.14/0.36 3523: Id : 5, {_}:
% 0.14/0.36 v_A =<= c_Tarski_Opotype_Opset v_cl t_a tc_Product__Type_Ounit
% 0.14/0.36 [] by cls_Tarski_OA_A_61_61_Apset_Acl_0
% 0.14/0.36 3523: Id : 6, {_}:
% 0.14/0.36 ifeq
% 0.14/0.36 (c_lessequals ?9
% 0.14/0.36 (c_Tarski_Opotype_Opset ?10 ?11 tc_Product__Type_Ounit)
% 0.14/0.36 (tc_set ?11)) true
% 0.14/0.36 (ifeq
% 0.14/0.36 (c_in ?10 c_Tarski_OCompleteLattice
% 0.14/0.36 (tc_Tarski_Opotype_Opotype__ext__type ?11
% 0.14/0.36 tc_Product__Type_Ounit)) true
% 0.14/0.36 (ifeq
% 0.14/0.36 (c_in ?10 c_Tarski_OPartialOrder
% 0.14/0.36 (tc_Tarski_Opotype_Opotype__ext__type ?11
% 0.14/0.36 tc_Product__Type_Ounit)) true
% 0.14/0.36 (ifeq (c_in ?12 ?9 ?11) true
% 0.14/0.36 (c_in (c_Pair ?12 (c_Tarski_Olub ?9 ?10 ?11) ?11 ?11)
% 0.14/0.36 (c_Tarski_Opotype_Oorder ?10 ?11 tc_Product__Type_Ounit)
% 0.14/0.36 (tc_prod ?11 ?11)) true) true) true) true
% 0.14/0.36 =>=
% 0.14/0.36 true
% 0.14/0.36 [12, 11, 10, 9] by cls_Tarski_OCL_Olub__upper_0 ?9 ?10 ?11 ?12
% 0.14/0.36 3523: Id : 7, {_}:
% 0.14/0.36 ifeq
% 0.14/0.36 (c_in (c_Pair ?14 ?15 ?16 ?16)
% 0.14/0.36 (c_Tarski_Opotype_Oorder (c_Tarski_Odual ?17 ?16) ?16
% 0.14/0.36 tc_Product__Type_Ounit) (tc_prod ?16 ?16)) true
% 0.14/0.36 (c_in (c_Pair ?15 ?14 ?16 ?16)
% 0.14/0.36 (c_Tarski_Opotype_Oorder ?17 ?16 tc_Product__Type_Ounit)
% 0.14/0.36 (tc_prod ?16 ?16)) true
% 0.14/0.36 =>=
% 0.14/0.36 true
% 0.14/0.36 [17, 16, 15, 14] by cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0
% 0.14/0.36 ?14 ?15 ?16 ?17
% 0.14/0.36 3523: Id : 8, {_}:
% 0.14/0.36 c_in (c_Tarski_Odual v_cl t_a) c_Tarski_OCompleteLattice
% 0.14/0.36 (tc_Tarski_Opotype_Opotype__ext__type t_a tc_Product__Type_Ounit)
% 0.14/0.36 =>=
% 0.14/0.36 true
% 0.14/0.36 [] by cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0
% 0.14/0.36 3523: Id : 9, {_}:
% 0.14/0.36 c_in (c_Tarski_Odual v_cl t_a) c_Tarski_OPartialOrder
% 0.14/0.36 (tc_Tarski_Opotype_Opotype__ext__type t_a tc_Product__Type_Ounit)
% 0.14/0.36 =>=
% 0.14/0.36 true
% 0.14/0.36 [] by cls_Tarski_Odual_Acl_A_58_APartialOrder_0
% 0.14/0.36 3523: Id : 10, {_}:
% 0.14/0.36 c_Tarski_Oglb ?21 ?22 ?23
% 0.14/0.36 =<=
% 0.14/0.36 c_Tarski_Olub ?21 (c_Tarski_Odual ?22 ?23) ?23
% 0.14/0.36 [23, 22, 21] by cls_Tarski_Oglb__dual__lub_0 ?21 ?22 ?23
% 0.14/0.36 3523: Id : 11, {_}:
% 0.14/0.36 c_Tarski_Opotype_Opset (c_Tarski_Odual ?25 ?26) ?26
% 0.14/0.36 tc_Product__Type_Ounit
% 0.14/0.36 =>=
% 0.14/0.36 c_Tarski_Opotype_Opset ?25 ?26 tc_Product__Type_Ounit
% 0.14/0.36 [26, 25] by cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0 ?25
% 0.14/0.36 ?26
% 0.14/0.36 3523: Id : 12, {_}:
% 0.14/0.36 v_r =<= c_Tarski_Opotype_Oorder v_cl t_a tc_Product__Type_Ounit
% 0.14/0.36 [] by cls_Tarski_Or_A_61_61_Aorder_Acl_0
% 0.14/0.36 3523: Goal:
% 0.14/0.36 3523: Id : 1, {_}:
% 0.14/0.36 c_in (c_Pair (c_Tarski_Oglb v_S v_cl t_a) v_x t_a t_a) v_r
% 0.14/0.36 (tc_prod t_a t_a)
% 0.14/0.36 =>=
% 0.14/0.36 true
% 0.14/0.36 [] by cls_conjecture_2
% 0.21/0.37 Statistics :
% 0.21/0.37 Max weight : 73
% 0.21/0.37 Found proof, 0.008290s
% 0.21/0.37 % SZS status Unsatisfiable for theBenchmark.p
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark.p
% 0.21/0.37 Id : 3, {_}: c_lessequals v_S v_A (tc_set t_a) =>= true [] by cls_conjecture_0
% 0.21/0.37 Id : 4, {_}: c_in v_x v_S t_a =>= true [] by cls_conjecture_1
% 0.21/0.37 Id : 5, {_}: v_A =<= c_Tarski_Opotype_Opset v_cl t_a tc_Product__Type_Ounit [] by cls_Tarski_OA_A_61_61_Apset_Acl_0
% 0.21/0.37 Id : 10, {_}: c_Tarski_Oglb ?21 ?22 ?23 =<= c_Tarski_Olub ?21 (c_Tarski_Odual ?22 ?23) ?23 [23, 22, 21] by cls_Tarski_Oglb__dual__lub_0 ?21 ?22 ?23
% 0.21/0.37 Id : 11, {_}: c_Tarski_Opotype_Opset (c_Tarski_Odual ?25 ?26) ?26 tc_Product__Type_Ounit =>= c_Tarski_Opotype_Opset ?25 ?26 tc_Product__Type_Ounit [26, 25] by cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0 ?25 ?26
% 0.21/0.37 Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.21/0.37 Id : 8, {_}: c_in (c_Tarski_Odual v_cl t_a) c_Tarski_OCompleteLattice (tc_Tarski_Opotype_Opotype__ext__type t_a tc_Product__Type_Ounit) =>= true [] by cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0
% 0.21/0.37 Id : 9, {_}: c_in (c_Tarski_Odual v_cl t_a) c_Tarski_OPartialOrder (tc_Tarski_Opotype_Opotype__ext__type t_a tc_Product__Type_Ounit) =>= true [] by cls_Tarski_Odual_Acl_A_58_APartialOrder_0
% 0.21/0.37 Id : 6, {_}: ifeq (c_lessequals ?9 (c_Tarski_Opotype_Opset ?10 ?11 tc_Product__Type_Ounit) (tc_set ?11)) true (ifeq (c_in ?10 c_Tarski_OCompleteLattice (tc_Tarski_Opotype_Opotype__ext__type ?11 tc_Product__Type_Ounit)) true (ifeq (c_in ?10 c_Tarski_OPartialOrder (tc_Tarski_Opotype_Opotype__ext__type ?11 tc_Product__Type_Ounit)) true (ifeq (c_in ?12 ?9 ?11) true (c_in (c_Pair ?12 (c_Tarski_Olub ?9 ?10 ?11) ?11 ?11) (c_Tarski_Opotype_Oorder ?10 ?11 tc_Product__Type_Ounit) (tc_prod ?11 ?11)) true) true) true) true =>= true [12, 11, 10, 9] by cls_Tarski_OCL_Olub__upper_0 ?9 ?10 ?11 ?12
% 0.21/0.37 Id : 12, {_}: v_r =<= c_Tarski_Opotype_Oorder v_cl t_a tc_Product__Type_Ounit [] by cls_Tarski_Or_A_61_61_Aorder_Acl_0
% 0.21/0.37 Id : 7, {_}: ifeq (c_in (c_Pair ?14 ?15 ?16 ?16) (c_Tarski_Opotype_Oorder (c_Tarski_Odual ?17 ?16) ?16 tc_Product__Type_Ounit) (tc_prod ?16 ?16)) true (c_in (c_Pair ?15 ?14 ?16 ?16) (c_Tarski_Opotype_Oorder ?17 ?16 tc_Product__Type_Ounit) (tc_prod ?16 ?16)) true =>= true [17, 16, 15, 14] by cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0 ?14 ?15 ?16 ?17
% 0.21/0.37 Id : 50, {_}: ifeq (c_in (c_Pair ?99 ?100 t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true (c_in (c_Pair ?100 ?99 t_a t_a) v_r (tc_prod t_a t_a)) true =>= true [100, 99] by Super 7 with 12 at 2,3,2
% 0.21/0.37 Id : 35, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq (c_in (c_Tarski_Odual v_cl t_a) c_Tarski_OCompleteLattice (tc_Tarski_Opotype_Opotype__ext__type t_a tc_Product__Type_Ounit)) true (ifeq true true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Olub ?67 (c_Tarski_Odual v_cl t_a) t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true) true) true =>= true [68, 67] by Super 6 with 9 at 1,3,3,2
% 0.21/0.37 Id : 39, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq true true (ifeq true true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Olub ?67 (c_Tarski_Odual v_cl t_a) t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true) true) true =>= true [68, 67] by Demod 35 with 8 at 1,3,2
% 0.21/0.37 Id : 40, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq true true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Olub ?67 (c_Tarski_Odual v_cl t_a) t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true) true =>= true [68, 67] by Demod 39 with 2 at 3,3,2
% 0.21/0.37 Id : 41, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Olub ?67 (c_Tarski_Odual v_cl t_a) t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [68, 67] by Demod 40 with 2 at 3,2
% 0.21/0.37 Id : 56, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset v_cl t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Olub ?67 (c_Tarski_Odual v_cl t_a) t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [68, 67] by Demod 41 with 11 at 2,1,2
% 0.21/0.37 Id : 57, {_}: ifeq (c_lessequals ?67 (c_Tarski_Opotype_Opset v_cl t_a tc_Product__Type_Ounit) (tc_set t_a)) true (ifeq (c_in ?68 ?67 t_a) true (c_in (c_Pair ?68 (c_Tarski_Oglb ?67 v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [68, 67] by Demod 56 with 10 at 2,1,3,3,2
% 0.21/0.37 Id : 59, {_}: ifeq (c_lessequals ?108 v_A (tc_set t_a)) true (ifeq (c_in ?109 ?108 t_a) true (c_in (c_Pair ?109 (c_Tarski_Oglb ?108 v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [109, 108] by Demod 57 with 5 at 2,1,2
% 0.21/0.37 Id : 60, {_}: ifeq (c_lessequals v_S v_A (tc_set t_a)) true (ifeq true true (c_in (c_Pair v_x (c_Tarski_Oglb v_S v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [] by Super 59 with 4 at 1,3,2
% 0.21/0.37 Id : 63, {_}: ifeq true true (ifeq true true (c_in (c_Pair v_x (c_Tarski_Oglb v_S v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true) true =>= true [] by Demod 60 with 3 at 1,2
% 0.21/0.37 Id : 64, {_}: ifeq true true (c_in (c_Pair v_x (c_Tarski_Oglb v_S v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a)) true =>= true [] by Demod 63 with 2 at 3,2
% 0.21/0.37 Id : 65, {_}: c_in (c_Pair v_x (c_Tarski_Oglb v_S v_cl t_a) t_a t_a) (c_Tarski_Opotype_Oorder (c_Tarski_Odual v_cl t_a) t_a tc_Product__Type_Ounit) (tc_prod t_a t_a) =>= true [] by Demod 64 with 2 at 2
% 0.21/0.37 Id : 70, {_}: ifeq true true (c_in (c_Pair (c_Tarski_Oglb v_S v_cl t_a) v_x t_a t_a) v_r (tc_prod t_a t_a)) true =>= true [] by Super 50 with 65 at 1,2
% 0.21/0.37 Id : 78, {_}: c_in (c_Pair (c_Tarski_Oglb v_S v_cl t_a) v_x t_a t_a) v_r (tc_prod t_a t_a) =>= true [] by Demod 70 with 2 at 2
% 0.21/0.37 Id : 89, {_}: true === true [] by Demod 1 with 78 at 2
% 0.21/0.37 Id : 1, {_}: c_in (c_Pair (c_Tarski_Oglb v_S v_cl t_a) v_x t_a t_a) v_r (tc_prod t_a t_a) =>= true [] by cls_conjecture_2
% 0.21/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.37 3526: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.012904 using nrkbo
%------------------------------------------------------------------------------