0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : geo -tptp_input -nonempty -inputfile %s 0.03/0.30 % Computer : n021.star.cs.uiowa.edu 0.03/0.30 % Model : x86_64 x86_64 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.30 % Memory : 32218.625MB 0.03/0.30 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.30 % CPULimit : 300 0.03/0.30 % DateTime : Sat Jul 14 04:19:55 CDT 2018 0.06/0.30 % CPUTime : 47.46/47.77 GeoParameters: 47.46/47.77 47.46/47.77 tptp_input = 1 47.46/47.77 tptp_output = 0 47.46/47.77 nonempty = 1 47.46/47.77 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p 47.46/47.77 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/ 47.46/47.77 47.46/47.77 47.46/47.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 47.46/47.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 47.46/47.77 47.46/47.77 RuleSystem INPUT: 47.46/47.77 47.46/47.77 Initial Rules: 47.46/47.77 #0: input, references = 10, size of lhs = 2: 47.46/47.77 P_null_class-{F}(V0), member-{F}(V1,V0) | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #1: input, references = 4, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_successor-{F}(V1,V2), P_singleton-{F}(V1,V3), P_union-{F}(V1,V3,V4), V2 == V4 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #2: input, references = 10, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_union-{F}(V1,V2,V4), pppp0-{F}(V1,V3,V2) | member-{T}(V3,V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #3: input, references = 3, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_union-{F}(V1,V2,V4), member-{F}(V3,V4) | pppp0-{T}(V1,V3,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #4: input, references = 3, size of lhs = 2: 47.46/47.77 P_null_class-{F}(V0), pppp0-{F}(V1,V2,V3) | member-{T}(V2,V3), member-{T}(V2,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #5: input, references = 4, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), #-{F} V1, member-{F}(V2,V3) | pppp0-{T}(V1,V2,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #6: input, references = 9, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), #-{F} V3, member-{F}(V2,V1) | pppp0-{T}(V1,V2,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #7: input, references = 3, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), pppp1-{F}(V2,V3,V1) | member-{T}(V1,V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #8: input, references = 5, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_unordered_pair-{F}(V2,V3,V4), member-{F}(V1,V4) | pppp1-{T}(V2,V3,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #9: input, references = 3, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), pppp1-{F}(V2,V3,V4) | member-{T}(V4,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #10: input, references = 5, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), pppp1-{F}(V2,V3,V4), V2 == V4, V4 == V3 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #11: input, references = 3, size of lhs = 4: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), #-{F} V3, member-{F}(V4,V1) | pppp1-{T}(V4,V3,V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #12: input, references = 3, size of lhs = 4: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), #-{F} V2, member-{F}(V3,V1) | pppp1-{T}(V2,V3,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #13: input, references = 6, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), P_singleton-{F}(V2,V5), P_singleton-{F}(V3,V6), P_unordered_pair-{F}(V2,V6,V7), P_unordered_pair-{F}(V5,V7,V8), V4 == V8 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #14: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_first-{F}(V2,V3), P_second-{F}(V2,V4), P_ordered_pair-{F}(V3,V4,V5), P_cross_product-{F}(V7,V6,V8), member-{F}(V2,V8), V5 == V2 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #15: input, references = 5, size of lhs = 3: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), #-{F} V2 | subclass-{T}(V2,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #16: input, references = 3, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_flip-{F}(V4,V5) | subclass-{T}(V5,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #17: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_ordered_pair-{F}(V4,V5,V8), P_ordered_pair-{F}(V8,V6,V9), P_flip-{F}(V7,V10), member-{F}(V9,V10) | pppp2-{T}(V7,V4,V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #18: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_ordered_pair-{F}(V4,V5,V8), P_ordered_pair-{F}(V8,V6,V9), P_flip-{F}(V7,V10), pppp2-{F}(V7,V4,V5,V6) | member-{T}(V9,V10) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #19: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V8,V7,V9), P_ordered_pair-{F}(V6,V5,V10), P_ordered_pair-{F}(V10,V7,V11), pppp2-{F}(V4,V5,V6,V7) | member-{T}(V9,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #20: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V8,V7,V9), P_ordered_pair-{F}(V6,V5,V10), P_ordered_pair-{F}(V10,V7,V11), pppp2-{F}(V4,V5,V6,V7) | member-{T}(V11,V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #21: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_ordered_pair-{F}(V5,V6,V8), P_ordered_pair-{F}(V8,V7,V9), P_ordered_pair-{F}(V6,V5,V10), P_ordered_pair-{F}(V10,V7,V11), member-{F}(V9,V3), member-{F}(V11,V4) | pppp2-{T}(V4,V5,V6,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #22: input, references = 3, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), inductive-{F}(V4) | pppp3-{T}(V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #23: input, references = 3, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), pppp3-{F}(V4) | inductive-{T}(V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #24: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_image-{F}(V4,V5,V6), pppp3-{F}(V5) | subclass-{T}(V6,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #25: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_image-{F}(V4,V5,V6), pppp3-{F}(V5) | member-{T}(V0,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #26: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_image-{F}(V4,V5,V6), subclass-{F}(V6,V5), member-{F}(V0,V5) | pppp3-{T}(V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #27: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_rotate-{F}(V5,V11), pppp4-{F}(V5,V6,V7,V8) | member-{T}(V10,V11) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #28: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_rotate-{F}(V5,V11), member-{F}(V10,V11) | pppp4-{T}(V5,V6,V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #29: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), pppp4-{F}(V5,V6,V7,V8) | member-{T}(V10,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #30: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), pppp4-{F}(V5,V6,V7,V8) | member-{T}(V12,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #31: input, references = 3, size of lhs = 11: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V6,V7,V9), P_ordered_pair-{F}(V9,V8,V10), P_ordered_pair-{F}(V7,V8,V11), P_ordered_pair-{F}(V11,V6,V12), member-{F}(V10,V3), member-{F}(V12,V5) | pppp4-{T}(V5,V6,V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #32: input, references = 3, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4) | EXISTS V5: pppp19-{T}(V5,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #33: input, references = 3, size of lhs = 1: 47.46/47.77 pppp19-{F}(V0,V1) | member-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #34: input, references = 3, size of lhs = 2: 47.46/47.77 pppp19-{F}(V0,V1), inductive-{F}(V2) | subclass-{T}(V0,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #35: input, references = 3, size of lhs = 1: 47.46/47.77 pppp19-{F}(V0,V1) | inductive-{T}(V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #36: input, references = 4, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_singleton-{F}(V5,V6), P_unordered_pair-{F}(V5,V5,V7), V6 == V7 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #37: input, references = 4, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), subclass-{F}(V5,V6) | pppp5-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #38: input, references = 4, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp5-{F}(V5,V6) | subclass-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #39: input, references = 7, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp5-{F}(V5,V6), member-{F}(V7,V5) | member-{T}(V7,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #40: input, references = 5, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), #-{F} V5, #-{F} V6 | pppp5-{T}(V5,V6), pppp27-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #41: input, references = 3, size of lhs = 1: 47.46/47.77 pppp27-{F}(V0,V1) | EXISTS V2: pppp20-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #42: input, references = 3, size of lhs = 2: 47.46/47.77 pppp20-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #43: input, references = 3, size of lhs = 1: 47.46/47.77 pppp20-{F}(V0,V1,V2) | member-{T}(V2,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #44: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V5,V6,V7), pppp6-{F}(V5,V6) | member-{T}(V7,V4) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #45: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V5,V6,V7), member-{F}(V7,V4) | pppp6-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #46: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_successor-{F}(V5,V7), pppp6-{F}(V5,V6) | member-{T}(V6,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #47: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_successor-{F}(V5,V7), pppp6-{F}(V5,V6), V7 == V6 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #48: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_successor-{F}(V5,V7), pppp6-{F}(V5,V6) | member-{T}(V5,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #49: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_successor-{F}(V5,V6), member-{F}(V6,V1), member-{F}(V5,V1) | pppp6-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #50: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V5,V6,V9), P_cross_product-{F}(V7,V8,V10), pppp7-{F}(V7,V8,V5,V6) | member-{T}(V9,V10) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #51: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_ordered_pair-{F}(V5,V6,V9), P_cross_product-{F}(V7,V8,V10), member-{F}(V9,V10) | pppp7-{T}(V7,V8,V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #52: input, references = 3, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp7-{F}(V5,V6,V7,V8) | member-{T}(V8,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #53: input, references = 3, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp7-{F}(V5,V6,V7,V8) | member-{T}(V7,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #54: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), member-{F}(V8,V6), member-{F}(V7,V5) | pppp7-{T}(V5,V6,V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #55: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), function-{F}(V5), P_image-{F}(V5,V6,V7), member-{F}(V6,V1) | member-{T}(V7,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #56: input, references = 6, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_unordered_pair-{F}(V5,V6,V7) | member-{T}(V7,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #57: input, references = 4, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_cross_product-{F}(V5,V7,V8), P_intersection-{F}(V6,V8,V9), P_restrict-{F}(V6,V5,V7,V10), V9 == V10 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #58: input, references = 4, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_sum_class-{F}(V5,V6), member-{F}(V5,V1) | member-{T}(V6,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #59: input, references = 4, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_power_class-{F}(V5,V6), member-{F}(V5,V1) | member-{T}(V6,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #60: input, references = 3, size of lhs = 5: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4) | EXISTS V5: pppp21-{T}(V5,V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #61: input, references = 3, size of lhs = 4: 47.46/47.77 pppp21-{F}(V0,V1,V2), P_apply-{F}(V0,V3,V4), member-{F}(V3,V2), V3 == V1 | member-{T}(V4,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #62: input, references = 3, size of lhs = 1: 47.46/47.77 pppp21-{F}(V0,V1,V2) | function-{T}(V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #63: input, references = 3, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_rotate-{F}(V5,V6) | subclass-{T}(V6,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #64: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_domain_of-{F}(V5,V7), pppp8-{F}(V5,V6) | member-{T}(V6,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #65: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_domain_of-{F}(V5,V7), member-{F}(V6,V7) | pppp8-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #66: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_singleton-{F}(V6,V7), P_restrict-{F}(V5,V7,V1,V8), pppp8-{F}(V5,V6) | member-{T}(V6,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #67: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_singleton-{F}(V6,V7), P_restrict-{F}(V5,V7,V1,V0), pppp8-{F}(V5,V6) | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #68: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_singleton-{F}(V6,V7), P_restrict-{F}(V5,V7,V1,V8), member-{F}(V6,V1), V8 == V0 | pppp8-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #69: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_complement-{F}(V5,V7), member-{F}(V6,V7) | pppp9-{T}(V5,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #70: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_complement-{F}(V5,V7), pppp9-{F}(V5,V6) | member-{T}(V6,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #71: input, references = 3, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp9-{F}(V5,V6) | member-{T}(V6,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #72: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), pppp9-{F}(V5,V6), member-{F}(V6,V5) | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #73: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), #-{F} V5, member-{F}(V6,V1) | pppp9-{T}(V5,V6), member-{T}(V6,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #74: input, references = 4, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_inverse-{F}(V5,V6), P_domain_of-{F}(V6,V7), P_range_of-{F}(V5,V8), V7 == V8 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #75: input, references = 4, size of lhs = 6: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5) | subclass-{T}(V5,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #76: input, references = 3, size of lhs = 12: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), member-{F}(V6,V1), P_ordered_pair-{F}(V7,V6,V8), P_first-{F}(V8,V9), P_second-{F}(V8,V10), member-{F}(V7,V1), V9 == V7 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #77: input, references = 3, size of lhs = 12: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), member-{F}(V6,V1), P_ordered_pair-{F}(V7,V6,V8), P_first-{F}(V8,V9), P_second-{F}(V8,V10), member-{F}(V7,V1), V6 == V10 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #78: input, references = 7, size of lhs = 11: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_inverse-{F}(V6,V7), P_cross_product-{F}(V6,V1,V8), P_flip-{F}(V8,V9), P_domain_of-{F}(V9,V10), V7 == V10 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #79: input, references = 4, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_image-{F}(V7,V6,V8), P_restrict-{F}(V7,V6,V1,V9), P_range_of-{F}(V9,V10), V8 == V10 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #80: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_sum_class-{F}(V7,V8), member-{F}(V6,V8) | pppp10-{T}(V7,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #81: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_sum_class-{F}(V7,V8), pppp10-{F}(V7,V6) | member-{T}(V6,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #82: input, references = 3, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), pppp10-{F}(V6,V7) | EXISTS V8: pppp22-{T}(V6,V8,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #83: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), member-{F}(V7,V8), member-{F}(V8,V6) | pppp10-{T}(V6,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #84: input, references = 3, size of lhs = 1: 47.46/47.77 pppp22-{F}(V0,V1,V2) | member-{T}(V1,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #85: input, references = 3, size of lhs = 1: 47.46/47.77 pppp22-{F}(V0,V1,V2) | member-{T}(V2,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #86: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp11-{F}(V7) | member-{T}(V7,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #87: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V7,V6) | pppp11-{T}(V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #88: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp11-{F}(V7) | EXISTS V8: pppp23-{T}(V8,V7,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #89: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V8,V8,V9), member-{F}(V8,V1) | pppp11-{T}(V9) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #90: input, references = 3, size of lhs = 3: 47.46/47.77 pppp23-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3), V1 == V3 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #91: input, references = 3, size of lhs = 2: 47.46/47.77 pppp23-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V0,V3) | member-{T}(V0,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #92: input, references = 4, size of lhs = 7: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6) | subclass-{T}(V4,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #93: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V9,V10,V11), P_compose-{F}(V8,V7,V12), pppp12-{F}(V9,V10,V7,V8) | member-{T}(V11,V12) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #94: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V9,V10,V11), P_compose-{F}(V8,V7,V12), member-{F}(V11,V12) | pppp12-{T}(V9,V10,V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #95: input, references = 3, size of lhs = 11: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_singleton-{F}(V7,V11), P_image-{F}(V9,V11,V12), P_image-{F}(V10,V12,V13), pppp12-{F}(V7,V8,V9,V10) | member-{T}(V8,V13) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #96: input, references = 3, size of lhs = 11: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_singleton-{F}(V7,V11), P_image-{F}(V9,V11,V12), P_image-{F}(V10,V12,V13), pppp12-{F}(V7,V8,V9,V10) | member-{T}(V7,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #97: input, references = 3, size of lhs = 12: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_singleton-{F}(V7,V11), P_image-{F}(V9,V11,V12), P_image-{F}(V10,V12,V13), member-{F}(V8,V13), member-{F}(V7,V1) | pppp12-{T}(V7,V8,V9,V10) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #98: input, references = 4, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_intersection-{F}(V7,V8,V10), pppp13-{F}(V7,V9,V8) | member-{T}(V9,V10) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #99: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_intersection-{F}(V7,V8,V10), member-{F}(V9,V10) | pppp13-{T}(V7,V9,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #100: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp13-{F}(V7,V8,V9) | member-{T}(V8,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #101: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp13-{F}(V7,V8,V9) | member-{T}(V8,V9) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #102: input, references = 4, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V8,V7), member-{F}(V8,V9) | pppp13-{T}(V7,V8,V9) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #103: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V7,V8,V9), pppp14-{F}(V7,V8) | member-{T}(V9,V5) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #104: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_ordered_pair-{F}(V7,V8,V9), member-{F}(V9,V5) | pppp14-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #105: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp14-{F}(V7,V8) | member-{T}(V8,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #106: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp14-{F}(V7,V8) | member-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #107: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V8,V1), member-{F}(V7,V8) | pppp14-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #108: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp15-{F}(V7) | function-{T}(V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #109: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), function-{F}(V7) | pppp15-{T}(V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #110: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), pppp15-{F}(V7) | subclass-{T}(V7,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #111: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), pppp15-{F}(V7) | subclass-{T}(V9,V6) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #112: input, references = 3, size of lhs = 11: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_inverse-{F}(V7,V8), P_compose-{F}(V7,V8,V9), subclass-{F}(V7,V2), subclass-{F}(V9,V6) | pppp15-{T}(V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #113: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V7, V7 == V0 | EXISTS V8: pppp24-{T}(V7,V8,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #114: input, references = 3, size of lhs = 1: 47.46/47.77 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #115: input, references = 3, size of lhs = 1: 47.46/47.77 pppp24-{F}(V0,V1,V2) | member-{T}(V1,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #116: input, references = 3, size of lhs = 1: 47.46/47.77 pppp24-{F}(V0,V1,V2) | disjoint-{T}(V1,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #117: input, references = 4, size of lhs = 12: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_singleton-{F}(V8,V9), P_image-{F}(V7,V9,V10), P_sum_class-{F}(V10,V11), P_apply-{F}(V7,V8,V12), V11 == V12 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #118: input, references = 5, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_power_class-{F}(V8,V9), member-{F}(V7,V9) | pppp16-{T}(V8,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #119: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_power_class-{F}(V8,V9), pppp16-{F}(V8,V7) | member-{T}(V7,V9) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #120: input, references = 5, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp16-{F}(V7,V8) | subclass-{T}(V8,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #121: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp16-{F}(V7,V8) | member-{T}(V8,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #122: input, references = 3, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), subclass-{F}(V8,V7), member-{F}(V8,V1) | pppp16-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #123: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp17-{F}(V7,V8) | disjoint-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #124: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), disjoint-{F}(V7,V8) | pppp17-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #125: input, references = 3, size of lhs = 10: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp17-{F}(V7,V8), member-{F}(V9,V8), member-{F}(V9,V7) | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #126: input, references = 4, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V7, #-{F} V8 | pppp17-{T}(V7,V8), pppp28-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #127: input, references = 3, size of lhs = 1: 47.46/47.77 pppp28-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #128: input, references = 3, size of lhs = 1: 47.46/47.77 pppp25-{F}(V0,V1,V2) | member-{T}(V2,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #129: input, references = 3, size of lhs = 1: 47.46/47.77 pppp25-{F}(V0,V1,V2) | member-{T}(V2,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #130: input, references = 6, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp18-{F}(V7,V8), V7 == V8 | FALSE 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #131: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V8 | pppp18-{T}(V8,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #132: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp18-{F}(V7,V8) | subclass-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #133: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), pppp18-{F}(V7,V8) | subclass-{T}(V8,V7) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #134: input, references = 6, size of lhs = 9: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), subclass-{F}(V7,V8), subclass-{F}(V8,V7) | pppp18-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #135: input, references = 3, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_compose-{F}(V8,V7,V9) | subclass-{T}(V9,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #136: input, references = 8, size of lhs = 8: 47.46/47.77 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), #-{F} V7 | EXISTS V8: pppp26-{T}(V7,V8) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #137: input, references = 11, size of lhs = 1: 47.46/47.77 pppp26-{F}(V0,V1) | member-{T}(V1,V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #138: input, references = 4, size of lhs = 0: 47.46/47.77 FALSE | EXISTS V0: P_null_class-{T}(V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #139: input, references = 3, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #140: input, references = 4, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #141: input, references = 10, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #142: input, references = 4, size of lhs = 0: 47.46/47.77 FALSE | EXISTS V0: P_universal_class-{T}(V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #143: input, references = 6, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #144: input, references = 5, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #145: input, references = 3, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_first-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #146: input, references = 3, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_second-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #147: input, references = 19, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_cross_product-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #148: input, references = 4, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_flip-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #149: input, references = 6, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_image-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #150: input, references = 5, size of lhs = 0: 47.46/47.77 FALSE | EXISTS V0: P_successor_relation-{T}(V0) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #151: input, references = 3, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_rotate-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #152: input, references = 4, size of lhs = 2: 47.46/47.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #153: input, references = 5, size of lhs = 3: 47.46/47.77 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_restrict-{T}(V0,V1,V2,V3) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #154: input, references = 5, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_sum_class-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #155: input, references = 3, size of lhs = 1: 47.46/47.77 #-{F} V0 | EXISTS V1: P_power_class-{T}(V0,V1) 47.46/47.77 (used 0 times, uses = {}) 47.46/47.77 47.46/47.77 #156: input, references = 12, size of lhs = 2: 47.46/47.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #157: input, references = 5, size of lhs = 1: 47.46/47.78 #-{F} V0 | EXISTS V1: P_domain_of-{T}(V0,V1) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #158: input, references = 3, size of lhs = 1: 47.46/47.78 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #159: input, references = 6, size of lhs = 1: 47.46/47.78 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #160: input, references = 5, size of lhs = 1: 47.46/47.78 #-{F} V0 | EXISTS V1: P_range_of-{T}(V0,V1) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #161: input, references = 5, size of lhs = 0: 47.46/47.78 FALSE | EXISTS V0: P_element_relation-{T}(V0) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #162: input, references = 6, size of lhs = 0: 47.46/47.78 FALSE | EXISTS V0: P_identity_relation-{T}(V0) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #163: input, references = 3, size of lhs = 2: 47.46/47.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 number of initial rules = 164 47.46/47.78 47.46/47.78 Simplifiers: 47.46/47.78 #164: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_null_class-{F}(V0), P_null_class-{F}(V1), V0 == V1 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #165: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #166: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #167: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #168: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #169: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_universal_class-{F}(V0), P_universal_class-{F}(V1), V0 == V1 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #170: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #171: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_first-{F}(V0,V1), P_first-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #172: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_second-{F}(V0,V1), P_second-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #173: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_cross_product-{F}(V0,V1,V2), P_cross_product-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #174: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_flip-{F}(V0,V1), P_flip-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #175: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_image-{F}(V0,V1,V2), P_image-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #176: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_successor_relation-{F}(V0), P_successor_relation-{F}(V1), V0 == V1 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #177: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_rotate-{F}(V0,V1), P_rotate-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #178: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #179: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_restrict-{F}(V0,V1,V2,V3), P_restrict-{F}(V0,V1,V2,V7), V3 == V7 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #180: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_sum_class-{F}(V0,V1), P_sum_class-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #181: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_power_class-{F}(V0,V1), P_power_class-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #182: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #183: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_domain_of-{F}(V0,V1), P_domain_of-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #184: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #185: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #186: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_range_of-{F}(V0,V1), P_range_of-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #187: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_element_relation-{F}(V0), P_element_relation-{F}(V1), V0 == V1 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #188: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_identity_relation-{F}(V0), P_identity_relation-{F}(V1), V0 == V1 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #189: unsound, references = 3, size of lhs = 3: 47.46/47.78 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #190: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #191: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #192: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp20-{F}(V0,V1,V2), pppp20-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #193: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V1,V2), V0 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #194: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V1 == V4 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #195: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V4,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #196: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V2), V1 == V4 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #197: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V1,V2), V0 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #198: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #199: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp24-{F}(V0,V1,V2), pppp24-{F}(V0,V4,V2), V1 == V4 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #200: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp24-{F}(V0,V1,V2), pppp24-{F}(V3,V4,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #201: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp25-{F}(V0,V1,V2), pppp25-{F}(V0,V1,V5), V2 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #202: unsound, references = 3, size of lhs = 3: 47.46/47.78 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 number of simplifiers = 39 47.46/47.78 47.46/47.78 Learnt: 47.46/47.78 #204: exists( #140, #1 ), references = 6, size of lhs = 3: 47.46/47.78 P_null_class-{F}(V0), P_successor-{F}(V1,V2), P_singleton-{F}(V1,V3) | P_union-{T}(V1,V3,V2) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #206: exists( #144, #13 ), references = 1, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V3,V6,V7) | P_ordered_pair-{T}(V2,V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #208: exists( #143, #13 ), references = 2, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_singleton-{F}(V2,V3), P_ordered_pair-{F}(V2,V4,V5), P_singleton-{F}(V4,V6), P_unordered_pair-{F}(V2,V6,V7) | P_unordered_pair-{T}(V3,V7,V5) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #213: exists( #147, #36 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V4,V4,V6), V5 == V6 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #214: exists( #147, #57 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_cross_product-{F}(V4,V5,V6), P_intersection-{F}(V7,V6,V8), P_restrict-{F}(V7,V4,V5,V9), V8 == V9 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #215: exists( #147, #78 ), references = 7, size of lhs = 10: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_inverse-{F}(V5,V6), P_cross_product-{F}(V5,V1,V7), P_flip-{F}(V7,V8), P_domain_of-{F}(V8,V9), V6 == V9 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #219: exists( #147, #210 ), references = 2, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V3,V5), V4 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #220: exists( #147, #211 ), references = 3, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_cross_product-{F}(V3,V4,V5), P_intersection-{F}(V6,V5,V7), P_restrict-{F}(V6,V3,V4,V8), V7 == V8 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #222: exists( #143, #216 ), references = 4, size of lhs = 4: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_singleton-{F}(V3,V4) | P_unordered_pair-{T}(V3,V3,V4) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #224: exists( #153, #220 ), references = 3, size of lhs = 5: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_cross_product-{F}(V3,V4,V5), P_intersection-{F}(V6,V5,V7) | P_restrict-{T}(V6,V3,V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #227: exists( #147, #215 ), references = 6, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_inverse-{F}(V4,V5), P_cross_product-{F}(V4,V1,V6), P_flip-{F}(V6,V7), P_domain_of-{F}(V7,V8), V5 == V8 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #232: exists( #152, #220 ), references = 3, size of lhs = 5: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_cross_product-{F}(V3,V4,V5), P_restrict-{F}(V6,V3,V4,V7) | P_intersection-{T}(V6,V5,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #238: exists( #147, #74 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_inverse-{F}(V4,V5), P_domain_of-{F}(V5,V6), P_range_of-{F}(V4,V7), V6 == V7 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #239: exists( #147, #117 ), references = 11, size of lhs = 11: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10), P_apply-{F}(V8,V6,V11), V10 == V11 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #242: exists( #147, #235 ), references = 2, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_inverse-{F}(V3,V4), P_domain_of-{F}(V4,V5), P_range_of-{F}(V3,V6), V5 == V6 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #244: exists( #160, #240 ), references = 1, size of lhs = 5: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_inverse-{F}(V3,V4), P_domain_of-{F}(V4,V5) | P_range_of-{T}(V3,V5) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #246: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #248: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #250: exists( #154, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_apply-{F}(V8,V6,V10) | P_sum_class-{T}(V9,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #252: exists( #147, #79 ), references = 2, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_range_of-{F}(V5,V6), P_restrict-{F}(V7,V8,V1,V5), P_image-{F}(V7,V8,V9), V9 == V6 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #254: exists( #147, #251 ), references = 4, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_range_of-{F}(V4,V5), P_restrict-{F}(V6,V7,V1,V4), P_image-{F}(V6,V7,V8), V8 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #259: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #261: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #266: exists( #160, #254 ), references = 3, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_restrict-{F}(V4,V5,V1,V6), P_image-{F}(V4,V5,V7) | P_range_of-{T}(V6,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #269: exists( #157, #227 ), references = 3, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_inverse-{F}(V4,V5), P_cross_product-{F}(V4,V1,V6), P_flip-{F}(V6,V7) | P_domain_of-{T}(V7,V5) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #270: exists( #157, #215 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_inverse-{F}(V5,V6), P_cross_product-{F}(V5,V1,V7), P_flip-{F}(V7,V8) | P_domain_of-{T}(V8,V6) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #275: mergings( V3 == V5, V4 == V6; #272 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_singleton-{F}(V2,V3), P_ordered_pair-{F}(V2,V4,V5), P_singleton-{F}(V4,V6), P_singleton-{F}(V7,V6), P_ordered_pair-{F}(V2,V7,V8), V8 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #279: mergings( V3 == V5, V4 == V6; #276 ), references = 1, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_ordered_pair-{F}(V2,V6,V7) | P_ordered_pair-{T}(V2,V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #291: mergings( V3 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V9 == V13, V6 == V10, V10 == V14; #282 ), references = 2, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), subclass-{F}(V2,V3), V3 == V2, P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #296: mergings( V2 == V4, V3 == V0; #293 ), references = 1, size of lhs = 5: 47.46/47.78 P_successor_relation-{F}(V0), P_universal_class-{F}(V0), P_null_class-{F}(V1), P_element_relation-{F}(V2), P_identity_relation-{F}(V3) | P_cross_product-{T}(V0,V0,V0) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #304: mergings( V2 == V5, V5 == V6, V3 == V6, V4 == V9; #299 ), references = 2, size of lhs = 5: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #314: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V8, V8 == V6, V6 == V7, V7 == V9; #306 ), references = 1, size of lhs = 4: 47.46/47.78 P_element_relation-{F}(V0), P_universal_class-{F}(V1), P_null_class-{F}(V1), P_successor_relation-{F}(V1) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #323: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V7, V7 == V5, V5 == V6, V6 == V8; #315 ), references = 1, size of lhs = 3: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V0), P_successor_relation-{F}(V0) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #325: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #328: exists( #157, #242 ), references = 1, size of lhs = 5: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_inverse-{F}(V3,V4), P_range_of-{F}(V3,V5) | P_domain_of-{T}(V4,V5) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #331: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #350: mergings( V4 == V7, V7 == V10, V10 == V13, V2 == V8, V8 == V11, V11 == V14, V5 == V9, V9 == V12, V12 == V15, V6 == V16; #338 ), references = 2, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_cross_product-{F}(V6,V1,V5), P_image-{F}(V7,V4,V8), P_image-{F}(V7,V6,V9), V8 == V9 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #361: mergings( V4 == V7, V7 == V10, V10 == V13, V2 == V8, V8 == V11, V11 == V14, V5 == V9, V9 == V12, V12 == V16, V6 == V17; #339 ), references = 2, size of lhs = 10: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_cross_product-{F}(V7,V1,V6), P_image-{F}(V8,V5,V9), P_image-{F}(V8,V7,V10), V9 == V10 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #374: mergings( V3 == V7, V7 == V10, V10 == V13, V4 == V8, V8 == V11, V11 == V14, V5 == V9, V9 == V12, V12 == V15, V6 == V16; #362 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_cross_product-{F}(V6,V1,V5), P_image-{F}(V7,V6,V8) | P_image-{T}(V7,V4,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #385: mergings( V3 == V7, V7 == V10, V10 == V13, V4 == V8, V8 == V11, V11 == V14, V5 == V9, V9 == V12, V12 == V16, V6 == V17; #363 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_cross_product-{F}(V7,V1,V6), P_image-{F}(V8,V7,V9) | P_image-{T}(V8,V5,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #388: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #391: exists( #149, #254 ), references = 1, size of lhs = 6: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_range_of-{F}(V4,V5), P_restrict-{F}(V6,V7,V1,V4) | P_image-{T}(V6,V7,V5) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #394: exists( #141, #219 ), references = 1, size of lhs = 4: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_unordered_pair-{F}(V3,V3,V4) | P_singleton-{T}(V3,V4) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #396: exists( #147, #304 ), references = 1, size of lhs = 4: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_successor_relation-{F}(V2) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #398: exists( #147, #395 ), references = 1, size of lhs = 3: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V0), P_successor_relation-{F}(V1) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #400: exists( #150, #397 ), references = 1, size of lhs = 2: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V0) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #403: exists( #147, #239 ), references = 3, size of lhs = 10: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_identity_relation-{F}(V4), P_singleton-{F}(V5,V6), P_image-{F}(V7,V6,V8), P_sum_class-{F}(V8,V9), P_apply-{F}(V7,V5,V10), V9 == V10 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #405: exists( #154, #402 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_identity_relation-{F}(V4), P_singleton-{F}(V5,V6), P_image-{F}(V7,V6,V8), P_apply-{F}(V7,V5,V9) | P_sum_class-{T}(V8,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #407: exists( #156, #403 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_identity_relation-{F}(V4), P_singleton-{F}(V5,V6), P_image-{F}(V7,V6,V8), P_sum_class-{F}(V8,V9) | P_apply-{T}(V7,V5,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #412: exists( #149, #350 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_cross_product-{F}(V6,V1,V5), P_image-{F}(V7,V6,V8) | P_image-{T}(V7,V4,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #413: exists( #149, #361 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_cross_product-{F}(V7,V1,V6), P_image-{F}(V8,V7,V9) | P_image-{T}(V8,V5,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #422: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #416 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_inverse-{F}(V4,V5), P_cross_product-{F}(V4,V1,V6), P_cross_product-{F}(V7,V1,V6), P_inverse-{F}(V7,V8), V8 == V5 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #427: mergings( V2 == V6, V3 == V7, V4 == V9, V5 == V10; #417 ), references = 1, size of lhs = 10: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_inverse-{F}(V5,V6), P_cross_product-{F}(V5,V1,V7), P_cross_product-{F}(V8,V1,V7), P_inverse-{F}(V8,V9), V9 == V6 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #438: mergings( V3 == V6, V6 == V10, V4 == V7, V7 == V11, V5 == V8, V8 == V12, V9 == V13; #430 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), subclass-{F}(V2,V3), V3 == V2, P_element_relation-{F}(V3), P_successor_relation-{F}(V4), P_identity_relation-{F}(V5) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #450: mergings( V2 == V4, V4 == V6, V6 == V10, V3 == V0, V5 == V7, V7 == V11, V0 == V8, V8 == V12, V9 == V13; #440 ), references = 1, size of lhs = 5: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_element_relation-{F}(V1), P_successor_relation-{F}(V2), P_identity_relation-{F}(V3) | P_cross_product-{T}(V1,V1,V1) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #487: mergings( V2 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V12, V3 == V0, V4 == V8; #479 ), references = 1, size of lhs = 6: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_null_class-{F}(V4), P_successor-{F}(V0,V4) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #513: mergings( V2 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V3 == V0, V4 == V8; #503 ), references = 1, size of lhs = 8: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_null_class-{F}(V4), P_successor-{F}(V0,V5), P_union-{F}(V5,V6,V4), P_singleton-{F}(V7,V8) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #530: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #525 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V3), P_successor-{F}(V3,V4), P_unordered_pair-{F}(V5,V6,V4), V5 == V2, V2 == V6 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #542: exists( #159, #227 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_flip-{F}(V5,V6), P_domain_of-{F}(V6,V7) | P_inverse-{T}(V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #543: exists( #159, #215 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_flip-{F}(V6,V7), P_domain_of-{F}(V7,V8) | P_inverse-{T}(V5,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #544: exists( #159, #78 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_cross_product-{F}(V6,V1,V7), P_flip-{F}(V7,V8), P_domain_of-{F}(V8,V9) | P_inverse-{T}(V6,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #604: mergings( V0 == V9, V9 == V10, V10 == V11; #600 ), references = 1, size of lhs = 8: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_null_class-{F}(V6), P_union-{F}(V7,V8,V6) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #611: mergings( V2 == V3, V3 == V10, V10 == V11, V11 == V12; #606 ), references = 1, size of lhs = 8: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_null_class-{F}(V6), P_successor-{F}(V7,V6) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #657: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #650 ), references = 5, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), member-{F}(V2,V3), P_successor-{F}(V3,V4), P_union-{F}(V5,V4,V6), P_unordered_pair-{F}(V7,V8,V6), V7 == V2, V2 == V8 | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #714: mergings( V0 == V9, V1 == V10; #711 ), references = 1, size of lhs = 10: 47.46/47.78 P_successor_relation-{F}(V0), P_element_relation-{F}(V1), P_identity_relation-{F}(V2), P_null_class-{F}(V3), P_universal_class-{F}(V4), P_cross_product-{F}(V4,V4,V5), P_cross_product-{F}(V5,V4,V6), P_successor-{F}(V7,V8), P_union-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10) | pppp26-{T}(V7,V11), pppp26-{T}(V7,V12) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #762: mergings( V0 == V7, V7 == V15, V15 == V20, V20 == V25, V25 == V32, V32 == V39, V39 == V46, V1 == V8, V8 == V16, V16 == V21, V21 == V26, V26 == V33, V33 == V40, V40 == V47, V2 == V17, V3 == V18, V17 == V22, V18 == V23, V22 == V27, V23 == V28, V27 == V34, V28 == V35, V34 == V41, V35 == V42, V41 == V48, V42 == V49, V4 == V19, V19 == V24, V24 == V29, V29 == V36, V36 == V43, V43 == V50, V5 == V30, V30 == V37, V37 == V44, V44 == V51, V6 == V31, V31 == V38, V38 == V45, V45 == V52; #721 ), references = 2, size of lhs = 15: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), P_power_class-{F}(V7,V1), subclass-{F}(V7,V8), V7 == V8, pppp5-{F}(V9,V1), P_successor-{F}(V9,V10), P_sum_class-{F}(V11,V8), P_union-{F}(V12,V10,V13), P_unordered_pair-{F}(V11,V14,V13) | pppp26-{T}(V9,V14) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #843: mergings( V0 == V9, V1 == V10, V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V15; #835 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_identity_relation-{F}(V6), member-{F}(V7,V8), member-{F}(V7,V9) | pppp28-{T}(V9,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #956: mergings( V0 == V7, V7 == V12, V12 == V22, V20 == V24, V1 == V8, V8 == V13, V13 == V23, V2 == V9, V3 == V10, V9 == V14, V10 == V15, V4 == V11, V11 == V16; #942 ), references = 1, size of lhs = 18: 47.46/47.78 P_successor_relation-{F}(V0), P_element_relation-{F}(V1), P_identity_relation-{F}(V2), P_null_class-{F}(V3), P_universal_class-{F}(V4), P_cross_product-{F}(V4,V4,V5), P_cross_product-{F}(V5,V4,V6), P_power_class-{F}(V7,V4), pppp5-{F}(V8,V4), P_successor-{F}(V8,V9), P_sum_class-{F}(V10,V11), V7 == V11, P_union-{F}(V12,V9,V13), P_unordered_pair-{F}(V10,V14,V13), P_union-{F}(V15,V9,V16), P_unordered_pair-{F}(V17,V18,V16), V17 == V14, V14 == V18 | pppp27-{T}(V7,V11) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #987: mergings( V0 == V9, V1 == V10; #984 ), references = 1, size of lhs = 10: 47.46/47.78 P_successor_relation-{F}(V0), P_element_relation-{F}(V1), P_identity_relation-{F}(V2), P_null_class-{F}(V3), P_universal_class-{F}(V4), P_cross_product-{F}(V4,V4,V5), P_cross_product-{F}(V5,V4,V6), P_successor-{F}(V7,V8), P_union-{F}(V9,V8,V10), P_unordered_pair-{F}(V11,V12,V10) | pppp26-{T}(V7,V11), pppp26-{T}(V7,V12) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1034: mergings( V0 == V7, V7 == V15, V15 == V20, V20 == V25, V25 == V32, V32 == V39, V39 == V44, V44 == V49, V1 == V8, V8 == V16, V16 == V21, V21 == V26, V26 == V33, V33 == V40, V40 == V45, V45 == V50, V2 == V17, V3 == V18, V17 == V22, V18 == V23, V22 == V27, V23 == V28, V27 == V34, V28 == V35, V34 == V41, V35 == V42, V41 == V46, V42 == V47, V4 == V19, V19 == V24, V24 == V29, V29 == V36, V36 == V43, V43 == V48, V5 == V30, V30 == V37, V6 == V31, V31 == V38; #995 ), references = 1, size of lhs = 19: 47.46/47.78 P_element_relation-{F}(V0), P_identity_relation-{F}(V1), P_successor_relation-{F}(V2), P_null_class-{F}(V3), P_universal_class-{F}(V4), P_cross_product-{F}(V4,V4,V5), P_cross_product-{F}(V5,V4,V6), P_power_class-{F}(V7,V4), P_successor-{F}(V7,V8), pppp5-{F}(V9,V4), P_successor-{F}(V9,V10), P_union-{F}(V11,V10,V12), P_unordered_pair-{F}(V13,V14,V12), P_power_class-{F}(V13,V15), member-{F}(V16,V15), P_union-{F}(V17,V8,V18), P_unordered_pair-{F}(V19,V20,V18), V19 == V16, V16 == V20 | pppp26-{T}(V9,V14) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1067: exists( #159, #227 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_flip-{F}(V5,V6), P_domain_of-{F}(V6,V7) | P_inverse-{T}(V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1068: exists( #159, #215 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_flip-{F}(V6,V7), P_domain_of-{F}(V7,V8) | P_inverse-{T}(V5,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1069: exists( #159, #78 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_cross_product-{F}(V6,V1,V7), P_flip-{F}(V7,V8), P_domain_of-{F}(V8,V9) | P_inverse-{T}(V6,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1166: mergings( V0 == V9, V9 == V16, V16 == V23, V1 == V10, V10 == V17, V2 == V11, V3 == V12, V11 == V18, V12 == V19, V4 == V13, V13 == V20, V5 == V14, V14 == V21, V6 == V15, V15 == V22; #1149 ), references = 1, size of lhs = 8: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_null_class-{F}(V6), P_intersection-{F}(V7,V7,V6) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1217: exists( #159, #227 ), references = 1, size of lhs = 7: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_cross_product-{F}(V4,V1,V5), P_flip-{F}(V5,V6), P_domain_of-{F}(V6,V7) | P_inverse-{T}(V4,V7) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1218: exists( #159, #215 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_cross_product-{F}(V5,V1,V6), P_flip-{F}(V6,V7), P_domain_of-{F}(V7,V8) | P_inverse-{T}(V5,V8) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1219: exists( #159, #78 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_cross_product-{F}(V2,V1,V3), P_successor_relation-{F}(V4), P_element_relation-{F}(V5), P_cross_product-{F}(V6,V1,V7), P_flip-{F}(V7,V8), P_domain_of-{F}(V8,V9) | P_inverse-{T}(V6,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1247: mergings( V0 == V7, V7 == V6, V1 == V8, V2 == V9, V3 == V10, V4 == V11; #1238 ), references = 1, size of lhs = 6: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_null_class-{F}(V4), member-{F}(V5,V6) | pppp27-{T}(V6,V4) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1312: mergings( V0 == V7; #1310 ), references = 2, size of lhs = 7: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_cross_product-{F}(V1,V0,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_null_class-{F}(V6) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1326: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V11, V11 == V14, V4 == V6, V6 == V9, V9 == V12, V2 == V7, V7 == V10, V10 == V13; #1314 ), references = 1, size of lhs = 4: 47.46/47.78 P_universal_class-{F}(V0), P_element_relation-{F}(V0), P_successor_relation-{F}(V1), P_null_class-{F}(V2) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1330: exists( #156, #403 ), references = 1, size of lhs = 8: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_identity_relation-{F}(V4), P_singleton-{F}(V5,V6), P_image-{F}(V7,V6,V8), P_sum_class-{F}(V8,V9) | P_apply-{T}(V7,V5,V9) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1331: exists( #156, #239 ), references = 1, size of lhs = 9: 47.46/47.78 P_null_class-{F}(V0), P_universal_class-{F}(V1), P_cross_product-{F}(V1,V1,V2), P_successor_relation-{F}(V3), P_element_relation-{F}(V4), P_identity_relation-{F}(V5), P_singleton-{F}(V6,V7), P_image-{F}(V8,V7,V9), P_sum_class-{F}(V9,V10) | P_apply-{T}(V8,V6,V10) 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1363: exists( #147, #1312 ), references = 1, size of lhs = 6: 47.46/47.78 P_universal_class-{F}(V0), P_cross_product-{F}(V0,V0,V1), P_successor_relation-{F}(V2), P_element_relation-{F}(V3), P_identity_relation-{F}(V4), P_null_class-{F}(V5) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1367: exists( #147, #1360 ), references = 1, size of lhs = 5: 47.46/47.78 P_universal_class-{F}(V0), P_successor_relation-{F}(V1), P_element_relation-{F}(V2), P_identity_relation-{F}(V3), P_null_class-{F}(V4) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1369: exists( #162, #1364 ), references = 1, size of lhs = 4: 47.46/47.78 P_universal_class-{F}(V0), P_successor_relation-{F}(V1), P_element_relation-{F}(V2), P_null_class-{F}(V3) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1371: exists( #161, #1368 ), references = 1, size of lhs = 3: 47.46/47.78 P_universal_class-{F}(V0), P_successor_relation-{F}(V1), P_null_class-{F}(V2) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1373: exists( #150, #1370 ), references = 1, size of lhs = 2: 47.46/47.78 P_universal_class-{F}(V0), P_null_class-{F}(V1) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1375: exists( #142, #1372 ), references = 1, size of lhs = 1: 47.46/47.78 P_null_class-{F}(V0) | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 #1377: exists( #138, #1374 ), references = 1, size of lhs = 0: 47.46/47.78 FALSE | FALSE 47.46/47.78 (used 0 times, uses = {}) 47.46/47.78 47.46/47.78 number of learnt formulas = 89 47.46/47.78 47.46/47.78 47.46/47.78 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 47.46/47.78 47.46/47.78 randbase = 1 47.54/47.78 EOF