TSTP Solution File: SEU323-10 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n011.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 : Tue Jul 19 12:33:48 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 18:45:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 6529: Facts:
% 0.12/0.33 6529: Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.12/0.33 6529: Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.12/0.33 6529: Id : 4, {_}:
% 0.12/0.33 ifeq (element ?10 (powerset (the_carrier ?11))) true
% 0.12/0.33 (ifeq (closed_subset ?10 ?11) true
% 0.12/0.33 (ifeq (topological_space ?11) true
% 0.12/0.33 (ifeq (top_str ?11) true
% 0.12/0.33 (open_subset (subset_complement (the_carrier ?11) ?10) ?11)
% 0.12/0.33 true) true) true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [11, 10] by fc3_tops_1 ?10 ?11
% 0.12/0.33 6529: Id : 5, {_}:
% 0.12/0.33 ifeq (topological_space ?13) true
% 0.12/0.33 (ifeq (top_str ?13) true
% 0.12/0.33 (element (sK7_rc6_pre_topc_B ?13) (powerset (the_carrier ?13)))
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [13] by rc6_pre_topc_1 ?13
% 0.12/0.33 6529: Id : 6, {_}:
% 0.12/0.33 ifeq (topological_space ?15) true
% 0.12/0.33 (ifeq (top_str ?15) true
% 0.12/0.33 (closed_subset (sK7_rc6_pre_topc_B ?15) ?15) true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [15] by rc6_pre_topc ?15
% 0.12/0.33 6529: Id : 7, {_}:
% 0.12/0.33 ifeq2 (element ?17 (powerset ?18)) true
% 0.12/0.33 (subset_complement ?18 (subset_complement ?18 ?17)) ?17
% 0.12/0.33 =>=
% 0.12/0.33 ?17
% 0.12/0.33 [18, 17] by involutiveness_k3_subset_1 ?17 ?18
% 0.12/0.33 6529: Id : 8, {_}: subset ?20 ?20 =>= true [20] by reflexivity_r1_tarski ?20
% 0.12/0.33 6529: Id : 9, {_}:
% 0.12/0.33 one_sorted_str sK6_existence_l1_struct_0_A =>= true
% 0.12/0.33 [] by existence_l1_struct_0
% 0.12/0.33 6529: Id : 10, {_}:
% 0.12/0.33 ifeq (element ?23 (powerset ?24)) true
% 0.12/0.33 (element (subset_complement ?24 ?23) (powerset ?24)) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [24, 23] by dt_k3_subset_1 ?23 ?24
% 0.12/0.33 6529: Id : 11, {_}:
% 0.12/0.33 ifeq (element ?26 (powerset (the_carrier ?27))) true
% 0.12/0.33 (ifeq (top_str ?27) true
% 0.12/0.33 (element (topstr_closure ?27 ?26) (powerset (the_carrier ?27)))
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [27, 26] by dt_k6_pre_topc ?26 ?27
% 0.12/0.33 6529: Id : 12, {_}:
% 0.12/0.33 ifeq (element ?29 (powerset (the_carrier ?30))) true
% 0.12/0.33 (ifeq (topological_space ?30) true
% 0.12/0.33 (ifeq (top_str ?30) true
% 0.12/0.33 (closed_subset (topstr_closure ?30 ?29) ?30) true) true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [30, 29] by fc2_tops_1 ?29 ?30
% 0.12/0.33 6529: Id : 13, {_}:
% 0.12/0.33 ifeq (open_subset ?32 ?33) true
% 0.12/0.33 (ifeq (element ?32 (powerset (the_carrier ?33))) true
% 0.12/0.33 (ifeq (topological_space ?33) true
% 0.12/0.33 (ifeq (top_str ?33) true
% 0.12/0.33 (closed_subset (subset_complement (the_carrier ?33) ?32) ?33)
% 0.12/0.33 true) true) true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [33, 32] by fc4_tops_1 ?32 ?33
% 0.12/0.33 6529: Id : 14, {_}:
% 0.12/0.33 top_str sK5_existence_l1_pre_topc_A =>= true
% 0.12/0.33 [] by existence_l1_pre_topc
% 0.12/0.33 6529: Id : 15, {_}:
% 0.12/0.33 element (sK4_existence_m1_subset_1_B ?36) ?36 =>= true
% 0.12/0.33 [36] by existence_m1_subset_1 ?36
% 0.12/0.33 6529: Id : 16, {_}:
% 0.12/0.33 ifeq (element ?38 (powerset (the_carrier ?39))) true
% 0.12/0.33 (ifeq (top_str ?39) true
% 0.12/0.33 (element (interior ?39 ?38) (powerset (the_carrier ?39))) true)
% 0.12/0.33 true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [39, 38] by dt_k1_tops_1 ?38 ?39
% 0.12/0.33 6529: Id : 17, {_}:
% 0.12/0.33 ifeq (top_str ?41) true (one_sorted_str ?41) true =>= true
% 0.12/0.33 [41] by dt_l1_pre_topc ?41
% 0.12/0.33 6529: Id : 18, {_}:
% 0.12/0.33 ifeq (topological_space ?43) true
% 0.12/0.33 (ifeq (top_str ?43) true (open_subset (sK3_rc1_tops_1_B ?43) ?43)
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [43] by rc1_tops_1_1 ?43
% 0.12/0.33 6529: Id : 19, {_}:
% 0.12/0.33 ifeq (topological_space ?45) true
% 0.12/0.33 (ifeq (top_str ?45) true
% 0.12/0.33 (element (sK3_rc1_tops_1_B ?45) (powerset (the_carrier ?45)))
% 0.12/0.33 true) true
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [45] by rc1_tops_1 ?45
% 0.12/0.33 6529: Id : 20, {_}:
% 0.12/0.33 ifeq (subset ?47 ?48) true (element ?47 (powerset ?48)) true =>= true
% 0.12/0.33 [48, 47] by t3_subset_1 ?47 ?48
% 0.12/0.33 6529: Id : 21, {_}:
% 0.12/0.33 ifeq (element ?50 (powerset ?51)) true (subset ?50 ?51) true =>= true
% 0.12/0.33 [51, 50] by t3_subset ?50 ?51
% 0.12/0.33 6529: Id : 22, {_}:
% 0.12/0.33 ifeq2 (element ?53 (powerset (the_carrier ?54))) true
% 0.12/0.33 (ifeq2 (top_str ?54) true
% 0.12/0.33 (subset_complement (the_carrier ?54)
% 0.12/0.33 (topstr_closure ?54 (subset_complement (the_carrier ?54) ?53)))
% 0.12/0.33 (interior ?54 ?53)) (interior ?54 ?53)
% 0.12/0.33 =>=
% 0.12/0.33 interior ?54 ?53
% 0.12/0.33 [54, 53] by d1_tops_1 ?53 ?54
% 0.12/0.33 6529: Id : 23, {_}: top_str sK2_t51_tops_1_A =>= true [] by t51_tops_1
% 0.12/0.33 6529: Id : 24, {_}: topological_space sK2_t51_tops_1_A =>= true [] by t51_tops_1_1
% 0.12/0.33 6529: Id : 25, {_}:
% 0.12/0.33 element sK1_t51_tops_1_B (powerset (the_carrier sK2_t51_tops_1_A))
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [] by t51_tops_1_2
% 0.12/0.33 6529: Goal:
% 0.12/0.33 6529: Id : 1, {_}:
% 0.12/0.33 open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B)
% 0.12/0.33 sK2_t51_tops_1_A
% 0.12/0.33 =>=
% 0.12/0.33 true
% 0.12/0.33 [] by t51_tops_1_3
% 0.18/0.48 Statistics :
% 0.18/0.48 Max weight : 39
% 0.18/0.48 Found proof, 0.151085s
% 0.18/0.48 % SZS status Unsatisfiable for theBenchmark.p
% 0.18/0.48 % SZS output start CNFRefutation for theBenchmark.p
% 0.18/0.48 Id : 2, {_}: ifeq2 ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.18/0.48 Id : 22, {_}: ifeq2 (element ?53 (powerset (the_carrier ?54))) true (ifeq2 (top_str ?54) true (subset_complement (the_carrier ?54) (topstr_closure ?54 (subset_complement (the_carrier ?54) ?53))) (interior ?54 ?53)) (interior ?54 ?53) =>= interior ?54 ?53 [54, 53] by d1_tops_1 ?53 ?54
% 0.18/0.48 Id : 24, {_}: topological_space sK2_t51_tops_1_A =>= true [] by t51_tops_1_1
% 0.18/0.48 Id : 12, {_}: ifeq (element ?29 (powerset (the_carrier ?30))) true (ifeq (topological_space ?30) true (ifeq (top_str ?30) true (closed_subset (topstr_closure ?30 ?29) ?30) true) true) true =>= true [30, 29] by fc2_tops_1 ?29 ?30
% 0.18/0.48 Id : 23, {_}: top_str sK2_t51_tops_1_A =>= true [] by t51_tops_1
% 0.18/0.48 Id : 3, {_}: ifeq ?6 ?6 ?7 ?8 =>= ?7 [8, 7, 6] by ifeq_axiom_001 ?6 ?7 ?8
% 0.18/0.48 Id : 25, {_}: element sK1_t51_tops_1_B (powerset (the_carrier sK2_t51_tops_1_A)) =>= true [] by t51_tops_1_2
% 0.18/0.48 Id : 10, {_}: ifeq (element ?23 (powerset ?24)) true (element (subset_complement ?24 ?23) (powerset ?24)) true =>= true [24, 23] by dt_k3_subset_1 ?23 ?24
% 0.18/0.48 Id : 11, {_}: ifeq (element ?26 (powerset (the_carrier ?27))) true (ifeq (top_str ?27) true (element (topstr_closure ?27 ?26) (powerset (the_carrier ?27))) true) true =>= true [27, 26] by dt_k6_pre_topc ?26 ?27
% 0.18/0.48 Id : 4, {_}: ifeq (element ?10 (powerset (the_carrier ?11))) true (ifeq (closed_subset ?10 ?11) true (ifeq (topological_space ?11) true (ifeq (top_str ?11) true (open_subset (subset_complement (the_carrier ?11) ?10) ?11) true) true) true) true =>= true [11, 10] by fc3_tops_1 ?10 ?11
% 0.18/0.48 Id : 172, {_}: ifeq true true (element (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B) (powerset (the_carrier sK2_t51_tops_1_A))) true =>= true [] by Super 10 with 25 at 1,2
% 0.18/0.48 Id : 190, {_}: element (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B) (powerset (the_carrier sK2_t51_tops_1_A)) =>= true [] by Demod 172 with 3 at 2
% 0.18/0.48 Id : 638, {_}: ifeq true true (ifeq (top_str sK2_t51_tops_1_A) true (element (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) (powerset (the_carrier sK2_t51_tops_1_A))) true) true =>= true [] by Super 11 with 190 at 1,2
% 0.18/0.48 Id : 650, {_}: ifeq (top_str sK2_t51_tops_1_A) true (element (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) (powerset (the_carrier sK2_t51_tops_1_A))) true =>= true [] by Demod 638 with 3 at 2
% 0.18/0.48 Id : 651, {_}: ifeq true true (element (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) (powerset (the_carrier sK2_t51_tops_1_A))) true =>= true [] by Demod 650 with 23 at 1,2
% 0.18/0.49 Id : 652, {_}: element (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) (powerset (the_carrier sK2_t51_tops_1_A)) =>= true [] by Demod 651 with 3 at 2
% 0.18/0.49 Id : 1919, {_}: ifeq true true (ifeq (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true (ifeq (topological_space sK2_t51_tops_1_A) true (ifeq (top_str sK2_t51_tops_1_A) true (open_subset (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) sK2_t51_tops_1_A) true) true) true) true =>= true [] by Super 4 with 652 at 1,2
% 0.18/0.49 Id : 1943, {_}: ifeq (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true (ifeq (topological_space sK2_t51_tops_1_A) true (ifeq (top_str sK2_t51_tops_1_A) true (open_subset (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) sK2_t51_tops_1_A) true) true) true =>= true [] by Demod 1919 with 3 at 2
% 0.18/0.49 Id : 633, {_}: ifeq true true (ifeq (topological_space sK2_t51_tops_1_A) true (ifeq (top_str sK2_t51_tops_1_A) true (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true) true) true =>= true [] by Super 12 with 190 at 1,2
% 0.18/0.49 Id : 666, {_}: ifeq (topological_space sK2_t51_tops_1_A) true (ifeq (top_str sK2_t51_tops_1_A) true (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true) true =>= true [] by Demod 633 with 3 at 2
% 0.18/0.49 Id : 667, {_}: ifeq true true (ifeq (top_str sK2_t51_tops_1_A) true (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true) true =>= true [] by Demod 666 with 24 at 1,2
% 0.18/0.49 Id : 668, {_}: ifeq true true (ifeq true true (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true) true =>= true [] by Demod 667 with 23 at 1,3,2
% 0.18/0.49 Id : 669, {_}: ifeq true true (closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A) true =>= true [] by Demod 668 with 3 at 2
% 0.18/0.49 Id : 670, {_}: closed_subset (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) sK2_t51_tops_1_A =>= true [] by Demod 669 with 3 at 2
% 0.18/0.49 Id : 1944, {_}: ifeq true true (ifeq (topological_space sK2_t51_tops_1_A) true (ifeq (top_str sK2_t51_tops_1_A) true (open_subset (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) sK2_t51_tops_1_A) true) true) true =>= true [] by Demod 1943 with 670 at 1,2
% 0.18/0.49 Id : 1945, {_}: ifeq true true (ifeq true true (ifeq (top_str sK2_t51_tops_1_A) true (open_subset (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) sK2_t51_tops_1_A) true) true) true =>= true [] by Demod 1944 with 24 at 1,3,2
% 0.18/0.49 Id : 1946, {_}: ifeq true true (ifeq true true (ifeq true true (open_subset (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) sK2_t51_tops_1_A) true) true) true =>= true [] by Demod 1945 with 23 at 1,3,3,2
% 0.18/0.49 Id : 176, {_}: ifeq2 true true (ifeq2 (top_str sK2_t51_tops_1_A) true (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) (interior sK2_t51_tops_1_A sK1_t51_tops_1_B)) (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) =>= interior sK2_t51_tops_1_A sK1_t51_tops_1_B [] by Super 22 with 25 at 1,2
% 0.18/0.49 Id : 179, {_}: ifeq2 (top_str sK2_t51_tops_1_A) true (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) =>= interior sK2_t51_tops_1_A sK1_t51_tops_1_B [] by Demod 176 with 2 at 2
% 0.18/0.49 Id : 180, {_}: ifeq2 true true (subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B))) (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) =>= interior sK2_t51_tops_1_A sK1_t51_tops_1_B [] by Demod 179 with 23 at 1,2
% 0.18/0.49 Id : 181, {_}: subset_complement (the_carrier sK2_t51_tops_1_A) (topstr_closure sK2_t51_tops_1_A (subset_complement (the_carrier sK2_t51_tops_1_A) sK1_t51_tops_1_B)) =>= interior sK2_t51_tops_1_A sK1_t51_tops_1_B [] by Demod 180 with 2 at 2
% 0.18/0.49 Id : 1947, {_}: ifeq true true (ifeq true true (ifeq true true (open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) sK2_t51_tops_1_A) true) true) true =>= true [] by Demod 1946 with 181 at 1,3,3,3,2
% 0.18/0.49 Id : 1948, {_}: ifeq true true (ifeq true true (open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) sK2_t51_tops_1_A) true) true =>= true [] by Demod 1947 with 3 at 2
% 0.18/0.49 Id : 1949, {_}: ifeq true true (open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) sK2_t51_tops_1_A) true =>= true [] by Demod 1948 with 3 at 2
% 0.18/0.49 Id : 1950, {_}: open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) sK2_t51_tops_1_A =>= true [] by Demod 1949 with 3 at 2
% 0.18/0.49 Id : 1976, {_}: true === true [] by Demod 1 with 1950 at 2
% 0.18/0.49 Id : 1, {_}: open_subset (interior sK2_t51_tops_1_A sK1_t51_tops_1_B) sK2_t51_tops_1_A =>= true [] by t51_tops_1_3
% 0.18/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.49 6532: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.155129 using nrkbo
%------------------------------------------------------------------------------