TSTP Solution File: SEU323-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 : 300s
% DateTime : Sat Jul 23 06:17:49 EDT 2022
% Result : Unsatisfiable 2.35s 2.55s
% Output : Refutation 2.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU323-10 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:04:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.35/2.55 GeoParameters:
% 2.35/2.55
% 2.35/2.55 tptp_input = 1
% 2.35/2.55 tptp_output = 0
% 2.35/2.55 nonempty = 1
% 2.35/2.55 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.35/2.55
% 2.35/2.55
% 2.35/2.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55
% 2.35/2.55 RuleSystem INPUT:
% 2.35/2.55
% 2.35/2.55 Initial Rules:
% 2.35/2.55 #0: input, references = 6, size of lhs = 2:
% 2.35/2.55 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #1: input, references = 5, size of lhs = 2:
% 2.35/2.55 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #2: input, references = 4, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4), P_element-{F}(V2,V4,V5), P_closed_subset-{F}(V2,V1,V6), P_topological_space-{F}(V1,V7), P_top_str-{F}(V1,V8), P_subset_complement-{F}(V3,V2,V9), P_open_subset-{F}(V9,V1,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), P_ifeq-{F}(V7,V0,V11,V0,V12), P_ifeq-{F}(V6,V0,V12,V0,V13), P_ifeq-{F}(V5,V0,V13,V0,V14), V14 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #3: input, references = 3, size of lhs = 10:
% 2.35/2.55 P_true-{F}(V0), P_topological_space-{F}(V1,V2), P_top_str-{F}(V1,V3), P_sK7_rc6_pre_topc_B-{F}(V1,V4), P_the_carrier-{F}(V1,V5), P_powerset-{F}(V5,V6), P_element-{F}(V4,V6,V7), P_ifeq-{F}(V3,V0,V7,V0,V8), P_ifeq-{F}(V2,V0,V8,V0,V9), V9 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #4: input, references = 3, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_topological_space-{F}(V1,V2), P_top_str-{F}(V1,V3), P_sK7_rc6_pre_topc_B-{F}(V1,V4), P_closed_subset-{F}(V4,V1,V5), P_ifeq-{F}(V3,V0,V5,V0,V6), P_ifeq-{F}(V2,V0,V6,V0,V7), V7 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #5: input, references = 5, size of lhs = 7:
% 2.35/2.55 P_true-{F}(V0), P_powerset-{F}(V1,V3), P_element-{F}(V2,V3,V4), P_subset_complement-{F}(V1,V2,V5), P_subset_complement-{F}(V1,V5,V6), P_ifeq2-{F}(V4,V0,V6,V2,V7), V7 == V2 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #6: input, references = 4, size of lhs = 3:
% 2.35/2.55 P_true-{F}(V0), P_subset-{F}(V1,V1,V2), V2 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #7: input, references = 4, size of lhs = 4:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), V2 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #8: input, references = 4, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_powerset-{F}(V3,V5), P_element-{F}(V4,V5,V6), P_subset_complement-{F}(V3,V4,V7), P_element-{F}(V7,V5,V8), P_ifeq-{F}(V6,V0,V8,V0,V9), V9 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #9: input, references = 4, size of lhs = 12:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_the_carrier-{F}(V3,V5), P_powerset-{F}(V5,V6), P_element-{F}(V4,V6,V7), P_top_str-{F}(V3,V8), P_topstr_closure-{F}(V3,V4,V9), P_element-{F}(V9,V6,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), P_ifeq-{F}(V7,V0,V11,V0,V12), V12 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #10: input, references = 4, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_the_carrier-{F}(V3,V5), P_powerset-{F}(V5,V6), P_element-{F}(V4,V6,V7), P_topological_space-{F}(V3,V8), P_top_str-{F}(V3,V9), P_topstr_closure-{F}(V3,V4,V10), P_closed_subset-{F}(V10,V3,V11), P_ifeq-{F}(V9,V0,V11,V0,V12), P_ifeq-{F}(V8,V0,V12,V0,V13), P_ifeq-{F}(V7,V0,V13,V0,V14), V14 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #11: input, references = 4, size of lhs = 16:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_open_subset-{F}(V4,V3,V5), P_the_carrier-{F}(V3,V6), P_powerset-{F}(V6,V7), P_element-{F}(V4,V7,V8), P_topological_space-{F}(V3,V9), P_top_str-{F}(V3,V10), P_subset_complement-{F}(V6,V4,V11), P_closed_subset-{F}(V11,V3,V12), P_ifeq-{F}(V10,V0,V12,V0,V13), P_ifeq-{F}(V9,V0,V13,V0,V14), P_ifeq-{F}(V8,V0,V14,V0,V15), P_ifeq-{F}(V5,V0,V15,V0,V16), V16 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #12: input, references = 4, size of lhs = 6:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), V4 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #13: input, references = 4, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK4_existence_m1_subset_1_B-{F}(V5,V6), P_element-{F}(V6,V5,V7), V7 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #14: input, references = 3, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_the_carrier-{F}(V5,V7), P_powerset-{F}(V7,V8), P_element-{F}(V6,V8,V9), P_top_str-{F}(V5,V10), P_interior-{F}(V5,V6,V11), P_element-{F}(V11,V8,V12), P_ifeq-{F}(V10,V0,V12,V0,V13), P_ifeq-{F}(V9,V0,V13,V0,V14), V14 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #15: input, references = 4, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_top_str-{F}(V5,V6), P_one_sorted_str-{F}(V5,V7), P_ifeq-{F}(V6,V0,V7,V0,V8), V8 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #16: input, references = 4, size of lhs = 12:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_topological_space-{F}(V5,V6), P_top_str-{F}(V5,V7), P_sK3_rc1_tops_1_B-{F}(V5,V8), P_open_subset-{F}(V8,V5,V9), P_ifeq-{F}(V7,V0,V9,V0,V10), P_ifeq-{F}(V6,V0,V10,V0,V11), V11 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #17: input, references = 3, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_topological_space-{F}(V5,V6), P_top_str-{F}(V5,V7), P_sK3_rc1_tops_1_B-{F}(V5,V8), P_the_carrier-{F}(V5,V9), P_powerset-{F}(V9,V10), P_element-{F}(V8,V10,V11), P_ifeq-{F}(V7,V0,V11,V0,V12), P_ifeq-{F}(V6,V0,V12,V0,V13), V13 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #18: input, references = 4, size of lhs = 10:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_subset-{F}(V5,V6,V7), P_powerset-{F}(V6,V8), P_element-{F}(V5,V8,V9), P_ifeq-{F}(V7,V0,V9,V0,V10), V10 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #19: input, references = 4, size of lhs = 10:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_powerset-{F}(V6,V7), P_element-{F}(V5,V7,V8), P_subset-{F}(V5,V6,V9), P_ifeq-{F}(V8,V0,V9,V0,V10), V10 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #20: input, references = 4, size of lhs = 16:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_the_carrier-{F}(V5,V7), P_powerset-{F}(V7,V8), P_element-{F}(V6,V8,V9), P_top_str-{F}(V5,V10), P_subset_complement-{F}(V7,V6,V11), P_topstr_closure-{F}(V5,V11,V12), P_subset_complement-{F}(V7,V12,V13), P_interior-{F}(V5,V6,V14), P_ifeq2-{F}(V10,V0,V13,V14,V15), P_ifeq2-{F}(V9,V0,V15,V14,V16), V16 == V14 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #21: input, references = 4, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6), V6 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #22: input, references = 5, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6), P_topological_space-{F}(V5,V7), V7 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #23: input, references = 4, size of lhs = 13:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6), P_topological_space-{F}(V5,V7), P_sK1_t51_tops_1_B-{F}(V8), P_the_carrier-{F}(V5,V9), P_powerset-{F}(V9,V10), P_element-{F}(V8,V10,V11), V11 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #24: input, references = 4, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6), P_topological_space-{F}(V5,V7), P_sK1_t51_tops_1_B-{F}(V8), P_the_carrier-{F}(V5,V9), P_powerset-{F}(V9,V10), P_element-{F}(V8,V10,V11), P_interior-{F}(V5,V8,V12), P_open_subset-{F}(V12,V5,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #25: input, references = 6, size of lhs = 4:
% 2.35/2.55 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #26: input, references = 5, size of lhs = 4:
% 2.35/2.55 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #27: input, references = 8, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_element-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #28: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #29: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #30: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_true-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #31: input, references = 5, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_closed_subset-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #32: input, references = 4, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_topological_space-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #33: input, references = 5, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_top_str-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #34: input, references = 5, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_open_subset-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #35: input, references = 6, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #36: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_sK7_rc6_pre_topc_B-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #37: input, references = 5, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #38: input, references = 5, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_one_sorted_str-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #39: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_sK6_existence_l1_struct_0_A-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #40: input, references = 4, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_topstr_closure-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #41: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_sK5_existence_l1_pre_topc_A-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #42: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_sK4_existence_m1_subset_1_B-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #43: input, references = 5, size of lhs = 2:
% 2.35/2.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_interior-{T}(V0,V1,V2)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #44: input, references = 3, size of lhs = 1:
% 2.35/2.55 #-{F} V0 | EXISTS V1: P_sK3_rc1_tops_1_B-{T}(V0,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #45: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_sK2_t51_tops_1_A-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #46: input, references = 4, size of lhs = 0:
% 2.35/2.55 FALSE | EXISTS V0: P_sK1_t51_tops_1_B-{T}(V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of initial rules = 47
% 2.35/2.55
% 2.35/2.55 Simplifiers:
% 2.35/2.55 #47: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #48: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #49: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_element-{F}(V0,V1,V2), P_element-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #50: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #51: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #52: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #53: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_closed_subset-{F}(V0,V1,V2), P_closed_subset-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #54: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_topological_space-{F}(V0,V1), P_topological_space-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #55: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_top_str-{F}(V0,V1), P_top_str-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #56: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_open_subset-{F}(V0,V1,V2), P_open_subset-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #57: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #58: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK7_rc6_pre_topc_B-{F}(V0,V1), P_sK7_rc6_pre_topc_B-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #59: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_subset-{F}(V0,V1,V2), P_subset-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #60: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_one_sorted_str-{F}(V0,V1), P_one_sorted_str-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #61: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK6_existence_l1_struct_0_A-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #62: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_topstr_closure-{F}(V0,V1,V2), P_topstr_closure-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #63: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK5_existence_l1_pre_topc_A-{F}(V0), P_sK5_existence_l1_pre_topc_A-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #64: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK4_existence_m1_subset_1_B-{F}(V0,V1), P_sK4_existence_m1_subset_1_B-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #65: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_interior-{F}(V0,V1,V2), P_interior-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #66: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK3_rc1_tops_1_B-{F}(V0,V1), P_sK3_rc1_tops_1_B-{F}(V0,V3), V1 == V3 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #67: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK2_t51_tops_1_A-{F}(V0), P_sK2_t51_tops_1_A-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #68: unsound, references = 3, size of lhs = 3:
% 2.35/2.55 P_sK1_t51_tops_1_B-{F}(V0), P_sK1_t51_tops_1_B-{F}(V1), V0 == V1 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of simplifiers = 22
% 2.35/2.55
% 2.35/2.55 Learnt:
% 2.35/2.55 #70: exists( #26, #1 ), references = 10, size of lhs = 3:
% 2.35/2.55 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #72: exists( #37, #6 ), references = 1, size of lhs = 2:
% 2.35/2.55 P_true-{F}(V0), #-{F} V1 | P_subset-{T}(V1,V1,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #74: exists( #38, #7 ), references = 2, size of lhs = 2:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1) | P_one_sorted_str-{T}(V1,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #78: exists( #33, #12 ), references = 2, size of lhs = 4:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3) | P_top_str-{T}(V3,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #79: exists( #33, #22 ), references = 2, size of lhs = 7:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_sK2_t51_tops_1_A-{F}(V3), P_topological_space-{F}(V3,V4), V4 == V0 | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #81: exists( #25, #0 ), references = 3, size of lhs = 3:
% 2.35/2.55 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #83: exists( #27, #13 ), references = 1, size of lhs = 6:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK4_existence_m1_subset_1_B-{F}(V5,V6) | P_element-{T}(V6,V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #86: exists( #38, #84 ), references = 1, size of lhs = 6:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_top_str-{F}(V5,V0) | P_one_sorted_str-{T}(V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #89: exists( #32, #79 ), references = 1, size of lhs = 5:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_sK2_t51_tops_1_A-{F}(V3) | P_topological_space-{T}(V3,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #90: exists( #32, #22 ), references = 2, size of lhs = 7:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6) | P_topological_space-{T}(V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #95: exists( #34, #91 ), references = 1, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_topological_space-{F}(V5,V0), P_top_str-{F}(V5,V0), P_sK3_rc1_tops_1_B-{F}(V5,V6) | P_open_subset-{T}(V6,V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #98: exists( #31, #96 ), references = 1, size of lhs = 10:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_topological_space-{F}(V3,V0), P_top_str-{F}(V3,V0), P_open_subset-{F}(V4,V3,V0), P_the_carrier-{F}(V3,V5), P_powerset-{F}(V5,V6), P_element-{F}(V4,V6,V0), P_subset_complement-{F}(V5,V4,V7) | P_closed_subset-{T}(V7,V3,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #101: exists( #37, #99 ), references = 1, size of lhs = 7:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_powerset-{F}(V5,V6), P_element-{F}(V7,V6,V0) | P_subset-{T}(V7,V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #104: exists( #27, #102 ), references = 1, size of lhs = 7:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_subset-{F}(V5,V6,V0), P_powerset-{F}(V6,V7) | P_element-{T}(V5,V7,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #107: exists( #35, #105 ), references = 1, size of lhs = 4:
% 2.35/2.55 P_true-{F}(V0), P_powerset-{F}(V1,V2), P_element-{F}(V3,V2,V0), P_subset_complement-{F}(V1,V3,V4) | P_subset_complement-{T}(V1,V4,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #110: exists( #27, #108 ), references = 2, size of lhs = 6:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_powerset-{F}(V3,V4), P_element-{F}(V5,V4,V0), P_subset_complement-{F}(V3,V5,V6) | P_element-{T}(V6,V4,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #112: exists( #27, #23 ), references = 2, size of lhs = 11:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V6), P_topological_space-{F}(V5,V7), P_sK1_t51_tops_1_B-{F}(V8), P_the_carrier-{F}(V5,V9), P_powerset-{F}(V9,V10) | P_element-{T}(V8,V10,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #115: exists( #25, #113 ), references = 3, size of lhs = 13:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_the_carrier-{F}(V5,V6), P_powerset-{F}(V6,V7), P_element-{F}(V8,V7,V0), P_top_str-{F}(V5,V9), P_subset_complement-{F}(V6,V8,V10), P_topstr_closure-{F}(V5,V10,V11), P_subset_complement-{F}(V6,V11,V12), P_interior-{F}(V5,V8,V13) | P_ifeq2-{T}(V9,V0,V12,V13,V13)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #118: exists( #43, #116 ), references = 1, size of lhs = 12:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_top_str-{F}(V5,V0), P_the_carrier-{F}(V5,V6), P_powerset-{F}(V6,V7), P_element-{F}(V8,V7,V0), P_subset_complement-{F}(V6,V8,V9), P_topstr_closure-{F}(V5,V9,V10), P_subset_complement-{F}(V6,V10,V11) | P_interior-{T}(V5,V8,V11)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #122: exists( #26, #120 ), references = 2, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_topological_space-{F}(V1,V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_element-{F}(V4,V3,V0), P_closed_subset-{F}(V4,V1,V0), P_top_str-{F}(V1,V5), P_subset_complement-{F}(V2,V4,V6), P_open_subset-{F}(V6,V1,V7) | P_ifeq-{T}(V5,V0,V7,V0,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #126: exists( #35, #124 ), references = 2, size of lhs = 12:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_top_str-{F}(V5,V0), P_the_carrier-{F}(V5,V6), P_powerset-{F}(V6,V7), P_element-{F}(V8,V7,V0), P_subset_complement-{F}(V6,V8,V9), P_topstr_closure-{F}(V5,V9,V10), P_interior-{F}(V5,V8,V11) | P_subset_complement-{T}(V6,V10,V11)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #131: exists( #27, #127 ), references = 1, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_top_str-{F}(V3,V0), P_the_carrier-{F}(V3,V4), P_powerset-{F}(V4,V5), P_element-{F}(V6,V5,V0), P_topstr_closure-{F}(V3,V6,V7) | P_element-{T}(V7,V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #135: exists( #31, #133 ), references = 1, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_topological_space-{F}(V3,V0), P_top_str-{F}(V3,V0), P_the_carrier-{F}(V3,V4), P_powerset-{F}(V4,V5), P_element-{F}(V6,V5,V0), P_topstr_closure-{F}(V3,V6,V7) | P_closed_subset-{T}(V7,V3,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #139: exists( #34, #137 ), references = 1, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_topological_space-{F}(V1,V0), P_top_str-{F}(V1,V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_element-{F}(V4,V3,V0), P_closed_subset-{F}(V4,V1,V0), P_subset_complement-{F}(V2,V4,V5) | P_open_subset-{T}(V5,V1,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #154: mergings( V9 == V17, V8 == V20, V17 == V21, V3 == V22, V22 == V12, V12 == V19, V19 == V18, V4 == V13, V5 == V14, V6 == V15, V7 == V16; #142 ), references = 1, size of lhs = 16:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0), P_sK1_t51_tops_1_B-{F}(V6), P_the_carrier-{F}(V5,V7), P_subset_complement-{F}(V7,V6,V8), P_topstr_closure-{F}(V5,V8,V9), P_closed_subset-{F}(V9,V5,V0), P_powerset-{F}(V7,V10), P_element-{F}(V9,V10,V0), P_element-{F}(V6,V10,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #176: mergings( V14 == V22, V13 == V19, V22 == V20, V19 == V21, V21 == V26, V20 == V27, V7 == V28, V28 == V12, V12 == V24, V24 == V23, V3 == V5, V4 == V6, V5 == V8, V6 == V9, V8 == V15, V9 == V16, V10 == V17, V11 == V18; #157 ), references = 2, size of lhs = 14:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0), P_sK1_t51_tops_1_B-{F}(V6), P_the_carrier-{F}(V5,V7), P_subset_complement-{F}(V7,V6,V8), P_powerset-{F}(V7,V9), P_element-{F}(V8,V9,V0), P_element-{F}(V6,V9,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #182: mergings( V3 == V6, V4 == V7; #179 ), references = 2, size of lhs = 12:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0), P_sK1_t51_tops_1_B-{F}(V6), P_the_carrier-{F}(V5,V7), P_powerset-{F}(V7,V8), P_element-{F}(V6,V8,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #193: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V8 == V9, V7 == V9; #185 ), references = 1, size of lhs = 10:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0), P_the_carrier-{F}(V5,V6), P_sK1_t51_tops_1_B-{F}(V7) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #201: mergings( V8 == V7, V7 == V6, V2 == V9, V3 == V10, V4 == V11, V5 == V12; #194 ), references = 1, size of lhs = 9:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0), P_sK1_t51_tops_1_B-{F}(V6) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #209: mergings( V5 == V12, V12 == V11, V1 == V6, V2 == V7, V3 == V8, V4 == V9; #202 ), references = 2, size of lhs = 8:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5), P_top_str-{F}(V5,V0), P_topological_space-{F}(V5,V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #213: exists( #25, #5 ), references = 1, size of lhs = 5:
% 2.35/2.55 P_true-{F}(V0), P_powerset-{F}(V1,V2), P_element-{F}(V3,V2,V4), P_subset_complement-{F}(V1,V3,V5), P_subset_complement-{F}(V1,V5,V6) | P_ifeq2-{T}(V4,V0,V6,V3,V3)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #216: exists( #33, #21 ), references = 1, size of lhs = 6:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4), P_sK2_t51_tops_1_A-{F}(V5) | P_top_str-{T}(V5,V0)
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #228: mergings( V1 == V5, V2 == V6, V5 == V10, V6 == V11, V3 == V7, V4 == V8, V7 == V12, V8 == V13; #219 ), references = 1, size of lhs = 5:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2), P_sK5_existence_l1_pre_topc_A-{F}(V3), P_top_str-{F}(V3,V4) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #238: mergings( V1 == V8, V2 == V4, V3 == V5, V4 == V6, V5 == V7, V6 == V9, V7 == V10; #230 ), references = 1, size of lhs = 3:
% 2.35/2.55 P_true-{F}(V0), P_sK6_existence_l1_struct_0_A-{F}(V1), P_one_sorted_str-{F}(V1,V2) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #243: mergings( V1 == V2, V2 == V3; #240 ), references = 1, size of lhs = 1:
% 2.35/2.55 P_true-{F}(V0) | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 #245: exists( #30, #240 ), references = 1, size of lhs = 0:
% 2.35/2.55 FALSE | FALSE
% 2.35/2.55 (used 0 times, uses = {})
% 2.35/2.55
% 2.35/2.55 number of learnt formulas = 36
% 2.35/2.55
% 2.35/2.55
% 2.35/2.55 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.35/2.55
% 2.35/2.55 randbase = 1
%------------------------------------------------------------------------------