TSTP Solution File: SEU028+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:06 EDT 2022
% Result : Theorem 32.39s 32.62s
% Output : Refutation 32.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU028+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:33:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 32.39/32.62 GeoParameters:
% 32.39/32.62
% 32.39/32.62 tptp_input = 1
% 32.39/32.62 tptp_output = 0
% 32.39/32.62 nonempty = 1
% 32.39/32.62 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.39/32.62 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 32.39/32.62
% 32.39/32.62
% 32.39/32.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.39/32.62 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.39/32.62
% 32.39/32.62 RuleSystem INPUT:
% 32.39/32.62
% 32.39/32.62 Initial Rules:
% 32.39/32.62 #0: input, references = 3, size of lhs = 2:
% 32.39/32.62 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1: input, references = 3, size of lhs = 1:
% 32.39/32.62 empty-{F}(V0) | function-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #2: input, references = 3, size of lhs = 1:
% 32.39/32.62 empty-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #3: input, references = 3, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #4: input, references = 6, size of lhs = 3:
% 32.39/32.62 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #5: input, references = 5, size of lhs = 3:
% 32.39/32.62 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #6: input, references = 10, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #7: input, references = 5, size of lhs = 1:
% 32.39/32.62 P_identity_relation-{F}(V0,V1) | relation-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #8: input, references = 4, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #9: input, references = 4, size of lhs = 1:
% 32.39/32.62 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #10: input, references = 4, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #11: input, references = 3, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #12: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #13: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #14: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #15: input, references = 3, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), relation-{F}(V2), function-{F}(V2) | relation-{T}(V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #16: input, references = 10, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), relation-{F}(V2), function-{F}(V2) | function-{T}(V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #17: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #18: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #19: input, references = 3, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #20: input, references = 5, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #21: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #22: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #23: input, references = 5, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #24: input, references = 3, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #25: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #26: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #27: input, references = 5, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #28: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #29: input, references = 4, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #30: input, references = 3, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #31: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #32: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp2-{F}(V0) | function-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #33: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp2-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #34: input, references = 4, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #35: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp3-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #36: input, references = 5, size of lhs = 1:
% 32.39/32.62 pppp3-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #37: input, references = 4, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #38: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #39: input, references = 3, size of lhs = 2:
% 32.39/32.62 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #40: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #41: input, references = 4, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #42: input, references = 5, size of lhs = 1:
% 32.39/32.62 pppp5-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #43: input, references = 4, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #44: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp6-{F}(V0) | function-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #45: input, references = 5, size of lhs = 1:
% 32.39/32.62 pppp6-{F}(V0) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #46: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp6-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #47: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #48: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp7-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #49: input, references = 3, size of lhs = 2:
% 32.39/32.62 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #50: input, references = 4, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #51: input, references = 4, size of lhs = 1:
% 32.39/32.62 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #52: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #53: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #54: input, references = 3, size of lhs = 2:
% 32.39/32.62 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #55: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #56: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #57: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp10-{F}(V0) | function-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #58: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp10-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #59: input, references = 3, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #60: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #61: input, references = 3, size of lhs = 1:
% 32.39/32.62 pppp11-{F}(V0) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #62: input, references = 3, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #63: input, references = 4, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #64: input, references = 4, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #65: input, references = 5, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V3), function-{F}(V3), P_identity_relation-{F}(V2,V3) | pppp0-{T}(V2,V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #66: input, references = 3, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_identity_relation-{F}(V2,V3), pppp0-{F}(V2,V1), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #67: input, references = 4, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), V3 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #68: input, references = 5, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), P_apply-{F}(V2,V4,V5), in-{F}(V4,V1), V5 == V4 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #69: input, references = 4, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V1) | pppp0-{T}(V1,V2), pppp15-{T}(V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #70: input, references = 8, size of lhs = 1:
% 32.39/32.62 pppp15-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #71: input, references = 9, size of lhs = 2:
% 32.39/32.62 pppp12-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V2) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #72: input, references = 10, size of lhs = 2:
% 32.39/32.62 pppp12-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V3) | in-{T}(V2,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #73: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #74: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #75: input, references = 3, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #76: input, references = 5, size of lhs = 12:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7), P_apply-{F}(V4,V5,V8), in-{F}(V5,V2), V5 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #77: input, references = 5, size of lhs = 12:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7), P_apply-{F}(V4,V5,V8), in-{F}(V5,V2), V5 == V8 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #78: input, references = 4, size of lhs = 12:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V3,V1,V4), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_apply-{F}(V3,V5,V6), P_apply-{F}(V1,V6,V7), P_apply-{F}(V4,V5,V8), in-{F}(V5,V2), V5 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #79: input, references = 6, size of lhs = 12:
% 32.39/32.62 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V3,V1,V4), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_apply-{F}(V3,V5,V6), P_apply-{F}(V1,V6,V7), P_apply-{F}(V4,V5,V8), in-{F}(V5,V2), V5 == V8 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #80: input, references = 4, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V1,V2,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V4 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #81: input, references = 4, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V1,V2,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V6 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #82: input, references = 5, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V4 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #83: input, references = 5, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V1,V5), P_relation_rng-{F}(V3,V6), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V6 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #84: input, references = 4, size of lhs = 5:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #85: input, references = 4, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #86: input, references = 6, size of lhs = 8:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V4), P_relation_dom-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V0,V7), P_relation_rng-{F}(V0,V6), P_identity_relation-{F}(V6,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #87: input, references = 17, size of lhs = 8:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V0,V5), P_relation_rng-{F}(V0,V6), P_identity_relation-{F}(V6,V7) | one_to_one-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #88: input, references = 6, size of lhs = 8:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V0,V5), P_relation_rng-{F}(V0,V6), P_identity_relation-{F}(V6,V7) | function-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #89: input, references = 6, size of lhs = 8:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V0,V5), P_relation_rng-{F}(V0,V6), P_identity_relation-{F}(V6,V7) | relation-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #90: input, references = 11, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #91: input, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #92: input, references = 8, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #93: input, references = 7, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #94: input, references = 23, size of lhs = 2:
% 32.39/32.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #95: input, references = 14, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #96: input, references = 4, size of lhs = 0:
% 32.39/32.62 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #97: input, references = 3, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #98: input, references = 8, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #99: input, references = 13, size of lhs = 1:
% 32.39/32.62 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #100: input, references = 24, size of lhs = 2:
% 32.39/32.62 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 number of initial rules = 101
% 32.39/32.62
% 32.39/32.62 Simplifiers:
% 32.39/32.62 #101: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #102: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #103: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #104: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #105: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #106: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #107: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #108: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #109: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #110: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #111: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #112: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #113: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #114: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #115: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #116: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #117: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #118: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #119: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #120: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #121: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #122: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #123: unsound, references = 3, size of lhs = 3:
% 32.39/32.62 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 number of simplifiers = 23
% 32.39/32.62
% 32.39/32.62 Learnt:
% 32.39/32.62 #125: exists( #98, #67 ), references = 3, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #133: mergings( V0 == V2; #130 ), references = 1, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #135: mergings( V0 == V2; #131 ), references = 1, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #147: mergings( V0 == V2; #144 ), references = 1, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #149: mergings( V0 == V2; #145 ), references = 1, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #173: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #167 ), references = 1, size of lhs = 2:
% 32.39/32.62 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #178: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #168 ), references = 1, size of lhs = 3:
% 32.39/32.62 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #185: mergings( V2 == V3; #182 ), references = 1, size of lhs = 2:
% 32.39/32.62 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #187: mergings( V2 == V3; #183 ), references = 1, size of lhs = 3:
% 32.39/32.62 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #193: mergings( V0 == V2; #190 ), references = 1, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #195: mergings( V0 == V2; #191 ), references = 1, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #202: mergings( V0 == V3; #198 ), references = 2, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #205: mergings( V0 == V3, V2 == V3; #199 ), references = 1, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #207: mergings( V2 == V0; #200 ), references = 1, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), pppp7-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #213: exists( #100, #68 ), references = 1, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp0-{F}(V2,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V1,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #222: exists( #94, #219 ), references = 2, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #232: mergings( V0 == V3; #228 ), references = 1, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #235: mergings( V0 == V3, V1 == V3; #229 ), references = 1, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #238: mergings( V0 == V3, V1 == V3; #230 ), references = 1, size of lhs = 3:
% 32.39/32.62 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #246: mergings( V3 == V4; #244 ), references = 2, size of lhs = 3:
% 32.39/32.62 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #268: mergings( V0 == V4; #266 ), references = 1, size of lhs = 2:
% 32.39/32.62 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #274: mergings( V2 == V3; #272 ), references = 1, size of lhs = 9:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V0), pppp13-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_identity_relation-{F}(V2,V1), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V1) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #287: mergings( V3 == V9, V4 == V10, V5 == V12; #282 ), references = 2, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V3,V0,V4), P_relation_composition-{F}(V0,V3,V5), P_relation_dom-{F}(V5,V6), P_relation_dom-{F}(V0,V7), V6 == V7, P_identity_relation-{F}(V7,V8), P_relation_rng-{F}(V5,V9) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #291: mergings( V3 == V9, V4 == V10, V5 == V12; #283 ), references = 2, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V3,V0,V4), P_relation_composition-{F}(V0,V3,V5), P_relation_dom-{F}(V5,V6), P_relation_dom-{F}(V0,V7), P_identity_relation-{F}(V7,V8), P_relation_rng-{F}(V5,V9), V9 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #334: exists( #94, #291 ), references = 5, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V0,V6), P_identity_relation-{F}(V6,V7), P_relation_rng-{F}(V4,V8), V8 == V6 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #336: exists( #94, #287 ), references = 2, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V0,V6), V5 == V6, P_identity_relation-{F}(V6,V7), P_relation_rng-{F}(V4,V8) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #341: exists( #100, #76 ), references = 1, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), P_apply-{F}(V4,V5,V7) | P_apply-{T}(V3,V6,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #353: exists( #99, #336 ), references = 2, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V0,V6), V5 == V6, P_identity_relation-{F}(V6,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #434: exists( #98, #353 ), references = 5, size of lhs = 9:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V0,V5), P_identity_relation-{F}(V5,V6) | P_relation_dom-{T}(V4,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #494: exists( #99, #334 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V0,V6), P_identity_relation-{F}(V6,V7) | P_relation_rng-{T}(V4,V6)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #531: exists( #99, #82 ), references = 3, size of lhs = 9:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V1,V5), V4 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #555: exists( #98, #531 ), references = 4, size of lhs = 7:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V2,V1,V3), P_relation_rng-{F}(V1,V4) | P_relation_dom-{T}(V3,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #582: exists( #99, #83 ), references = 1, size of lhs = 8:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V1,V5) | P_relation_rng-{T}(V3,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #610: mergings( V0 == V3; #608 ), references = 8, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_identity_relation-{F}(V2,V3), V1 == V3 | pppp15-{T}(V2,V1)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #673: exists( #100, #76 ), references = 1, size of lhs = 11:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7), V5 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #675: exists( #100, #672 ), references = 1, size of lhs = 11:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7), V5 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #681: mergings( V0 == V10, V3 == V11, V4 == V9; #677 ), references = 2, size of lhs = 14:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), P_relation_composition-{F}(V0,V6,V7), in-{F}(V8,V4), P_apply-{F}(V0,V8,V9), P_apply-{F}(V6,V9,V10), V8 == V10 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #684: mergings( V3 == V8; #682 ), references = 2, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), in-{F}(V7,V4), P_apply-{F}(V0,V7,V8), P_apply-{F}(V6,V8,V9), V7 == V9 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #687: mergings( V4 == V9; #685 ), references = 2, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), in-{F}(V7,V4), P_apply-{F}(V0,V7,V8) | P_apply-{T}(V6,V8,V7)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #776: exists( #100, #77 ), references = 2, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), in-{F}(V5,V2), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7) | P_apply-{T}(V4,V5,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #834: exists( #100, #832 ), references = 1, size of lhs = 6:
% 32.39/32.62 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), P_relation_dom-{F}(V2,V3), pppp12-{F}(V1,V4,V5), P_apply-{F}(V2,V5,V6), V6 == V5 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #836: exists( #100, #833 ), references = 3, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), P_relation_dom-{F}(V2,V3), pppp12-{F}(V1,V4,V5) | P_apply-{T}(V2,V5,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #892: mergings( V3 == V4; #890 ), references = 2, size of lhs = 5:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp12-{F}(V2,V3,V4), in-{F}(V5,V4) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #908: mergings( V2 == V3; #906 ), references = 1, size of lhs = 5:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp12-{F}(V2,V3,V4), V4 == V0 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #911: mergings( V3 == V4; #909 ), references = 3, size of lhs = 4:
% 32.39/32.62 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp15-{F}(V2,V3) | pppp12-{T}(V2,V3,V0)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #983: exists( #100, #79 ), references = 2, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V3,V1,V4), in-{F}(V5,V2), P_apply-{F}(V3,V5,V6), P_apply-{F}(V1,V6,V7) | P_apply-{T}(V4,V5,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #999: mergings( V3 == V9, V9 == V11, V11 == V13, V13 == V15, V7 == V10, V8 == V12, V10 == V16; #991 ), references = 1, size of lhs = 17:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V1,V3), P_identity_relation-{F}(V3,V4), empty-{F}(V5), P_powerset-{F}(V5,V6), P_relation_rng-{F}(V1,V6), P_identity_relation-{F}(V6,V7), P_empty_set-{F}(V8), in-{F}(V8,V6), P_apply-{F}(V0,V8,V9), P_apply-{F}(V1,V9,V10) | P_relation_composition-{T}(V0,V1,V7)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1016: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V22, V13 == V18, V14 == V19, V8 == V11, V11 == V15, V9 == V16, V15 == V20, V16 == V21, V20 == V24; #1002 ), references = 2, size of lhs = 19:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_rng-{F}(V3,V2), P_relation_dom-{F}(V3,V4), P_identity_relation-{F}(V4,V5), P_identity_relation-{F}(V2,V6), P_empty_set-{F}(V7), in-{F}(V7,V2), P_apply-{F}(V0,V7,V8), P_apply-{F}(V3,V8,V9), P_relation_dom-{F}(V6,V10), P_relation_rng-{F}(V6,V11), V11 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1188: exists( #100, #1183 ), references = 1, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), pppp12-{F}(V4,V7,V8), P_apply-{F}(V0,V8,V9), P_apply-{F}(V6,V9,V10), V8 == V10 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1189: exists( #100, #1184 ), references = 1, size of lhs = 14:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), P_relation_composition-{F}(V0,V6,V7), pppp12-{F}(V4,V8,V9), P_apply-{F}(V0,V9,V10), P_apply-{F}(V6,V10,V11), V9 == V11 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1192: exists( #100, #1186 ), references = 3, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), pppp12-{F}(V4,V7,V8), P_apply-{F}(V0,V8,V9) | P_apply-{T}(V6,V9,V8)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1193: exists( #100, #1187 ), references = 1, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), P_relation_composition-{F}(V0,V6,V7), pppp12-{F}(V4,V8,V9), P_apply-{F}(V0,V9,V10) | P_apply-{T}(V6,V10,V9)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1326: exists( #100, #1322 ), references = 2, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V1,V3,V4), pppp12-{F}(V2,V4,V5), P_apply-{F}(V1,V5,V6), P_apply-{F}(V3,V6,V7) | P_apply-{T}(V4,V5,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1327: exists( #100, #1323 ), references = 2, size of lhs = 10:
% 32.39/32.62 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,V3), P_relation_composition-{F}(V3,V1,V4), pppp12-{F}(V2,V4,V5), P_apply-{F}(V3,V5,V6), P_apply-{F}(V1,V6,V7) | P_apply-{T}(V4,V5,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1335: mergings( V3 == V8, V8 == V10, V5 == V0; #1331 ), references = 2, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_function_inverse-{F}(V0,V4), P_relation_dom-{F}(V0,V5), pppp0-{F}(V5,V0), pppp15-{F}(V5,V6), P_relation_composition-{F}(V0,V4,V6), P_identity_relation-{F}(V5,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1347: mergings( V0 == V14, V4 == V16, V3 == V12, V12 == V13, V5 == V9, V9 == V15, V6 == V17, V7 == V10, V8 == V11; #1337 ), references = 2, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_function_inverse-{F}(V0,V4), P_relation_dom-{F}(V0,V5), pppp0-{F}(V5,V0), pppp15-{F}(V5,V6), P_relation_composition-{F}(V0,V4,V6), P_identity_relation-{F}(V5,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1376: mergings( V3 == V8, V8 == V10, V5 == V0, V6 == V0, V7 == V9; #1370 ), references = 2, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_dom-{F}(V0,V1), pppp0-{F}(V1,V0), P_relation_rng-{F}(V0,V1), pppp15-{F}(V1,V2), P_identity_relation-{F}(V1,V3), P_empty_set-{F}(V4), P_function_inverse-{F}(V0,V5), P_relation_composition-{F}(V5,V0,V2) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1394: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V14, V7 == V11, V8 == V13, V9 == V11, V10 == V13; #1385 ), references = 3, size of lhs = 12:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V1,V3), pppp0-{F}(V3,V1), P_relation_rng-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_empty_set-{F}(V5) | P_relation_composition-{T}(V0,V1,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1414: mergings( V7 == V9, V9 == V13, V3 == V5, V5 == V8, V8 == V12, V4 == V10; #1406 ), references = 2, size of lhs = 12:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V2,V1), P_relation_rng-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_empty_set-{F}(V5), P_identity_relation-{F}(V2,V6) | P_relation_composition-{T}(V1,V0,V6)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1430: mergings( V7 == V10, V10 == V20, V3 == V5, V5 == V8, V8 == V9, V9 == V19, V6 == V11, V12 == V20, V11 == V13, V14 == V20, V4 == V13, V13 == V15, V16 == V20, V15 == V17, V18 == V20; #1407 ), references = 2, size of lhs = 11:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V2,V1), P_relation_rng-{F}(V1,V2), P_empty_set-{F}(V3), P_identity_relation-{F}(V2,V4) | P_relation_composition-{T}(V1,V0,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1440: mergings( V3 == V8, V5 == V10, V6 == V11, V0 == V7; #1435 ), references = 1, size of lhs = 14:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_rng-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V1,V4), pppp0-{F}(V4,V1), P_identity_relation-{F}(V4,V5), P_relation_dom-{F}(V5,V6), P_relation_rng-{F}(V5,V7), V7 == V4 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1446: mergings( V3 == V5, V4 == V6, V6 == V7, V0 == V8; #1441 ), references = 1, size of lhs = 10:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3), pppp0-{F}(V3,V1), P_identity_relation-{F}(V3,V1) | P_relation_rng-{T}(V1,V3)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1462: mergings( V8 == V9, V9 == V12, V2 == V3, V3 == V4, V4 == V10, V5 == V6, V6 == V7, V0 == V12, V7 == V11; #1452 ), references = 1, size of lhs = 7:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp0-{F}(V2,V0), P_identity_relation-{F}(V2,V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1496: mergings( V0 == V10, V3 == V11, V4 == V9; #1492 ), references = 1, size of lhs = 14:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_function_inverse-{F}(V0,V6), P_relation_composition-{F}(V0,V6,V7), in-{F}(V8,V4), P_apply-{F}(V0,V8,V9), P_apply-{F}(V6,V9,V10), pppp12-{F}(V11,V7,V8) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1512: mergings( V7 == V9, V3 == V5, V5 == V8, V8 == V10, V10 == V16, V6 == V12, V9 == V13, V12 == V17, V4 == V14; #1502 ), references = 1, size of lhs = 16:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_dom-{F}(V3,V2), P_identity_relation-{F}(V2,V4), P_relation_rng-{F}(V3,V5), P_identity_relation-{F}(V5,V6), P_empty_set-{F}(V7), in-{F}(V7,V2), P_apply-{F}(V3,V7,V8), P_apply-{F}(V0,V8,V9) | P_relation_composition-{T}(V3,V0,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1534: mergings( V14 == V15, V5 == V9, V9 == V10, V10 == V11, V11 == V1, V1 == V16, V16 == V24, V6 == V13, V7 == V15, V13 == V17, V17 == V19, V15 == V20, V19 == V26, V20 == V27, V3 == V18, V18 == V21, V4 == V22, V21 == V23; #1515 ), references = 2, size of lhs = 17:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_dom-{F}(V3,V2), P_relation_rng-{F}(V3,V4), P_identity_relation-{F}(V4,V5), P_empty_set-{F}(V6), in-{F}(V6,V2), P_identity_relation-{F}(V2,V7), P_relation_dom-{F}(V7,V8), P_relation_rng-{F}(V7,V9), V9 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1536: exists( #95, #1534 ), references = 1, size of lhs = 16:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_dom-{F}(V3,V2), P_relation_rng-{F}(V3,V4), P_empty_set-{F}(V5), in-{F}(V5,V2), P_identity_relation-{F}(V2,V6), P_relation_dom-{F}(V6,V7), P_relation_rng-{F}(V6,V8), V8 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1538: exists( #99, #1535 ), references = 1, size of lhs = 15:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_dom-{F}(V3,V2), P_empty_set-{F}(V4), in-{F}(V4,V2), P_identity_relation-{F}(V2,V5), P_relation_dom-{F}(V5,V6), P_relation_rng-{F}(V5,V7), V7 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1564: mergings( V8 == V13, V6 == V9, V9 == V14, V11 == V15, V12 == V16; #1558 ), references = 1, size of lhs = 14:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), in-{F}(V6,V4), P_function_inverse-{F}(V0,V7), P_relation_composition-{F}(V0,V7,V8), P_apply-{F}(V7,V6,V9), P_apply-{F}(V0,V9,V10), V6 == V10 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1571: mergings( V7 == V10, V5 == V8, V8 == V11, V12 == V14, V13 == V15; #1565 ), references = 3, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), in-{F}(V6,V4), P_function_inverse-{F}(V0,V7), P_apply-{F}(V7,V6,V8), P_apply-{F}(V0,V8,V9), V6 == V9 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1576: mergings( V7 == V10, V5 == V8, V8 == V11; #1572 ), references = 1, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), in-{F}(V6,V4), P_function_inverse-{F}(V0,V7), P_apply-{F}(V7,V6,V8) | P_apply-{T}(V0,V8,V6)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1608: mergings( V5 == V9, V6 == V10, V10 == V12; #1604 ), references = 1, size of lhs = 13:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_function_inverse-{F}(V0,V4), P_relation_dom-{F}(V0,V5), P_identity_relation-{F}(V5,V6), P_relation_composition-{F}(V0,V4,V7), pppp12-{F}(V5,V7,V8), pppp12-{F}(V5,V9,V8) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1611: mergings( V6 == V8; #1609 ), references = 1, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_function_inverse-{F}(V0,V4), P_relation_dom-{F}(V0,V5), pppp15-{F}(V5,V6), P_relation_composition-{F}(V0,V4,V6), P_identity_relation-{F}(V5,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1621: mergings( V0 == V12, V3 == V14, V10 == V11, V4 == V13, V5 == V15, V6 == V8, V7 == V9; #1613 ), references = 1, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_function_inverse-{F}(V0,V4), P_relation_dom-{F}(V0,V5), pppp15-{F}(V5,V6), P_relation_composition-{F}(V0,V4,V6), P_identity_relation-{F}(V5,V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1638: mergings( V7 == V9, V9 == V18, V3 == V5, V5 == V8, V8 == V16, V16 == V17, V6 == V10, V11 == V18, V4 == V12, V12 == V14, V13 == V15; #1626 ), references = 3, size of lhs = 11:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_empty_set-{F}(V5), P_identity_relation-{F}(V2,V6) | P_relation_composition-{T}(V1,V0,V6)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1641: exists( #95, #1571 ), references = 2, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), in-{F}(V5,V4), P_function_inverse-{F}(V0,V6), P_apply-{F}(V6,V5,V7), P_apply-{F}(V0,V7,V8), V5 == V8 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1643: exists( #100, #1640 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), in-{F}(V5,V4), P_function_inverse-{F}(V0,V6), P_apply-{F}(V6,V5,V7) | P_apply-{T}(V0,V7,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1654: mergings( V3 == V8, V5 == V10, V6 == V11, V0 == V7; #1649 ), references = 1, size of lhs = 13:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_rng-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V1,V4), P_identity_relation-{F}(V4,V5), P_relation_dom-{F}(V5,V6), P_relation_rng-{F}(V5,V7), V7 == V4 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1659: mergings( V3 == V6, V4 == V8, V5 == V9; #1655 ), references = 1, size of lhs = 12:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_relation_dom-{F}(V4,V5), P_relation_rng-{F}(V4,V6), V6 == V3 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1663: exists( #95, #1641 ), references = 2, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), in-{F}(V4,V3), P_function_inverse-{F}(V0,V5), P_apply-{F}(V5,V4,V6), P_apply-{F}(V0,V6,V7), V4 == V7 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1664: exists( #95, #1571 ), references = 2, size of lhs = 12:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V4), in-{F}(V5,V3), P_function_inverse-{F}(V0,V6), P_apply-{F}(V6,V5,V7), P_apply-{F}(V0,V7,V8), V5 == V8 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1665: exists( #95, #1016 ), references = 1, size of lhs = 18:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_rng-{F}(V3,V2), P_relation_dom-{F}(V3,V4), P_identity_relation-{F}(V2,V5), P_empty_set-{F}(V6), in-{F}(V6,V2), P_apply-{F}(V0,V6,V7), P_apply-{F}(V3,V7,V8), P_relation_dom-{F}(V5,V9), P_relation_rng-{F}(V5,V10), V10 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1669: exists( #100, #1662 ), references = 1, size of lhs = 17:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp13-{F}(V3), relation-{F}(V3), function-{F}(V3), P_function_inverse-{F}(V3,V0), P_relation_rng-{F}(V3,V2), P_relation_dom-{F}(V3,V4), P_identity_relation-{F}(V2,V5), P_empty_set-{F}(V6), in-{F}(V6,V2), P_apply-{F}(V0,V6,V7), P_relation_dom-{F}(V5,V8), P_relation_rng-{F}(V5,V9), V9 == V2 | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1672: exists( #100, #1663 ), references = 2, size of lhs = 9:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), in-{F}(V4,V3), P_function_inverse-{F}(V0,V5), P_apply-{F}(V5,V4,V6) | P_apply-{T}(V0,V6,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1673: exists( #100, #1664 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V4), in-{F}(V5,V3), P_function_inverse-{F}(V0,V6), P_apply-{F}(V6,V5,V7) | P_apply-{T}(V0,V7,V5)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1813: mergings( V6 == V9, V5 == V7; #1810 ), references = 1, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_function_inverse-{F}(V0,V4), P_relation_composition-{F}(V4,V0,V5), pppp12-{F}(V3,V5,V6), P_apply-{F}(V4,V6,V7) | P_apply-{T}(V5,V6,V6)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1818: mergings( V5 == V6, V7 == V9; #1815 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_function_inverse-{F}(V0,V4), P_relation_composition-{F}(V4,V0,V5), pppp12-{F}(V3,V5,V6) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1821: mergings( V5 == V6; #1819 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), pppp15-{F}(V3,V4), P_function_inverse-{F}(V0,V5), P_relation_composition-{F}(V5,V0,V4) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1835: mergings( V3 == V4, V4 == V5, V5 == V14, V14 == V15, V7 == V13, V9 == V11, V10 == V12; #1827 ), references = 1, size of lhs = 12:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_composition-{F}(V1,V0,V2), P_relation_rng-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_identity_relation-{F}(V5,V6), P_empty_set-{F}(V7) | P_relation_composition-{T}(V0,V1,V4)
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1850: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V15, V15 == V16, V14 == V0, V8 == V10, V9 == V11, V10 == V12, V11 == V13, V12 == V17; #1838 ), references = 2, size of lhs = 10:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp13-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3), P_relation_rng-{F}(V1,V4), P_identity_relation-{F}(V4,V5) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1852: exists( #95, #1850 ), references = 1, size of lhs = 9:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp13-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3), P_relation_rng-{F}(V1,V4) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1854: exists( #99, #1851 ), references = 1, size of lhs = 8:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp13-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1856: exists( #98, #1853 ), references = 2, size of lhs = 7:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp13-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1860: exists( #93, #1858 ), references = 2, size of lhs = 4:
% 32.39/32.62 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1904: mergings( V3 == V8, V4 == V9, V5 == V10, V6 == V11, V7 == V12; #1896 ), references = 1, size of lhs = 8:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_relation_composition-{F}(V1,V0,V4), P_relation_rng-{F}(V0,V5), P_identity_relation-{F}(V5,V6), P_empty_set-{F}(V7) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1918: mergings( V3 == V8, V8 == V13, V13 == V19, V4 == V9, V5 == V10, V9 == V14, V10 == V15, V15 == V20, V6 == V11, V7 == V12, V11 == V16, V12 == V17, V16 == V22; #1897 ), references = 1, size of lhs = 10:
% 32.39/32.62 pppp13-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_composition-{F}(V3,V0,V5), P_relation_dom-{F}(V5,V6), P_relation_rng-{F}(V0,V7), V6 == V7, P_identity_relation-{F}(V7,V8) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1932: mergings( V3 == V8, V8 == V13, V13 == V19, V4 == V9, V5 == V10, V9 == V14, V10 == V15, V15 == V20, V6 == V11, V7 == V12, V11 == V16, V12 == V17, V16 == V22; #1898 ), references = 1, size of lhs = 11:
% 32.39/32.62 pppp13-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_composition-{F}(V3,V0,V5), P_relation_dom-{F}(V5,V6), P_relation_rng-{F}(V0,V7), V6 == V7, P_identity_relation-{F}(V7,V8), P_relation_rng-{F}(V5,V9) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1939: mergings( V3 == V7, V4 == V8, V5 == V9; #1933 ), references = 1, size of lhs = 7:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_empty_set-{F}(V6) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1943: mergings( V3 == V6, V4 == V7; #1940 ), references = 2, size of lhs = 6:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_empty_set-{F}(V5) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1945: exists( #95, #1943 ), references = 1, size of lhs = 5:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1947: exists( #99, #1944 ), references = 1, size of lhs = 4:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1949: exists( #98, #1946 ), references = 1, size of lhs = 3:
% 32.39/32.62 pppp13-{F}(V0), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1951: exists( #93, #1948 ), references = 1, size of lhs = 2:
% 32.39/32.62 pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1954: mergings( V0 == V2; #1952 ), references = 1, size of lhs = 1:
% 32.39/32.62 P_empty_set-{F}(V0) | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 #1956: exists( #96, #1952 ), references = 1, size of lhs = 0:
% 32.39/32.62 FALSE | FALSE
% 32.39/32.62 (used 0 times, uses = {})
% 32.39/32.62
% 32.39/32.62 number of learnt formulas = 105
% 32.39/32.62
% 32.39/32.62
% 32.39/32.62 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.39/32.62
% 32.39/32.62 randbase = 1
%------------------------------------------------------------------------------