TSTP Solution File: SEU025+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU025+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:05 EDT 2022
% Result : Theorem 3.16s 3.35s
% Output : Refutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU025+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 : n024.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 19:04:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.16/3.35 GeoParameters:
% 3.16/3.35
% 3.16/3.35 tptp_input = 1
% 3.16/3.35 tptp_output = 0
% 3.16/3.35 nonempty = 1
% 3.16/3.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.16/3.35
% 3.16/3.35
% 3.16/3.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.16/3.35
% 3.16/3.35 RuleSystem INPUT:
% 3.16/3.35
% 3.16/3.35 Initial Rules:
% 3.16/3.35 #0: input, references = 3, size of lhs = 2:
% 3.16/3.35 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #1: input, references = 3, size of lhs = 1:
% 3.16/3.35 empty-{F}(V0) | function-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #2: input, references = 3, size of lhs = 1:
% 3.16/3.35 empty-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #3: input, references = 3, size of lhs = 3:
% 3.16/3.35 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #4: input, references = 6, size of lhs = 3:
% 3.16/3.35 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #5: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #6: input, references = 3, size of lhs = 3:
% 3.16/3.35 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #7: input, references = 5, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #8: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #9: input, references = 5, size of lhs = 3:
% 3.16/3.35 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #10: input, references = 3, size of lhs = 3:
% 3.16/3.35 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #11: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #12: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #13: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #14: input, references = 3, size of lhs = 6:
% 3.16/3.35 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)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #15: input, references = 3, size of lhs = 6:
% 3.16/3.35 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)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #16: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #17: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #18: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #19: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #20: input, references = 5, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #21: input, references = 3, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #22: input, references = 5, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #23: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #24: input, references = 5, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #25: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #26: input, references = 5, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #27: input, references = 3, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #28: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #29: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp1-{F}(V0) | function-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #30: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp1-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #31: input, references = 4, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #32: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp2-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #33: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp2-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #34: input, references = 4, size of lhs = 2:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #35: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #36: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #37: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #38: input, references = 4, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #39: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp4-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #40: input, references = 4, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #41: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp5-{F}(V0) | function-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #42: input, references = 5, size of lhs = 1:
% 3.16/3.35 pppp5-{F}(V0) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #43: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp5-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #44: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #45: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp6-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #46: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #47: input, references = 4, size of lhs = 2:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #48: input, references = 4, size of lhs = 1:
% 3.16/3.35 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #49: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #50: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #51: input, references = 3, size of lhs = 2:
% 3.16/3.35 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #52: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #53: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #54: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp9-{F}(V0) | function-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #55: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp9-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #56: input, references = 3, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #57: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #58: input, references = 3, size of lhs = 1:
% 3.16/3.35 pppp10-{F}(V0) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #59: input, references = 4, size of lhs = 2:
% 3.16/3.35 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #60: input, references = 3, size of lhs = 2:
% 3.16/3.35 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #61: input, references = 4, size of lhs = 2:
% 3.16/3.35 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #62: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #63: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #64: input, references = 5, size of lhs = 10:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), relation-{F}(V1), P_relation_dom-{F}(V4,V5), P_relation_composition-{F}(V1,V4,V6), P_relation_dom-{F}(V6,V7), relation-{F}(V4), subset-{F}(V2,V5), V7 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #65: input, references = 4, size of lhs = 10:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation-{F}(V1), P_relation_rng-{F}(V4,V5), P_relation_composition-{F}(V4,V1,V6), P_relation_rng-{F}(V6,V7), relation-{F}(V4), subset-{F}(V2,V5), V7 == V3 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #66: input, references = 4, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #67: input, references = 4, size of lhs = 10:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,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), V2 == V4 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #68: input, references = 6, size of lhs = 10:
% 3.16/3.35 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), P_function_inverse-{F}(V1,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), V5 == V6 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #69: input, references = 4, size of lhs = 1:
% 3.16/3.35 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #70: input, references = 4, size of lhs = 6:
% 3.16/3.35 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V4) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #71: input, references = 8, size of lhs = 6:
% 3.16/3.35 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | one_to_one-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #72: input, references = 4, size of lhs = 6:
% 3.16/3.35 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | function-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #73: input, references = 4, size of lhs = 6:
% 3.16/3.35 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | relation-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #74: input, references = 4, size of lhs = 5:
% 3.16/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #75: input, references = 12, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #76: input, references = 3, size of lhs = 3:
% 3.16/3.35 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #77: input, references = 11, size of lhs = 4:
% 3.16/3.35 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #78: input, references = 7, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #79: input, references = 9, size of lhs = 2:
% 3.16/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #80: input, references = 4, size of lhs = 0:
% 3.16/3.35 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #81: input, references = 3, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #82: input, references = 13, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 #83: input, references = 11, size of lhs = 1:
% 3.16/3.35 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 3.16/3.35 (used 0 times, uses = {})
% 3.16/3.35
% 3.16/3.35 number of initial rules = 84
% 3.16/3.35
% 3.16/3.35 Simplifiers:
% 3.16/3.35 #84: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #85: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #86: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #87: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #88: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #89: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #90: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #91: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #92: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #93: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #94: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #95: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #96: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #97: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #98: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #99: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #100: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #101: unsound, references = 3, size of lhs = 3:
% 3.20/3.35 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 number of simplifiers = 18
% 3.20/3.35
% 3.20/3.35 Learnt:
% 3.20/3.35 #120: mergings( V2 == V3; #117 ), references = 1, size of lhs = 2:
% 3.20/3.35 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #122: mergings( V2 == V3; #118 ), references = 1, size of lhs = 3:
% 3.20/3.35 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #129: mergings( V0 == V2; #126 ), references = 1, size of lhs = 1:
% 3.20/3.35 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #131: mergings( V0 == V2; #127 ), references = 1, size of lhs = 2:
% 3.20/3.35 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #149: exists( #79, #145 ), references = 1, size of lhs = 3:
% 3.20/3.35 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #150: exists( #79, #146 ), references = 1, size of lhs = 4:
% 3.20/3.35 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #157: mergings( V0 == V2; #154 ), references = 1, size of lhs = 1:
% 3.20/3.35 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #159: mergings( V0 == V2; #155 ), references = 1, size of lhs = 2:
% 3.20/3.35 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #166: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 3.20/3.35 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #168: mergings( V0 == V2; #164 ), references = 1, size of lhs = 2:
% 3.20/3.35 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #191: mergings( V0 == V3; #187 ), references = 3, size of lhs = 3:
% 3.20/3.35 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #194: mergings( V0 == V3, V2 == V3; #188 ), references = 1, size of lhs = 4:
% 3.20/3.35 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #197: mergings( V0 == V3, V2 == V3; #189 ), references = 1, size of lhs = 3:
% 3.20/3.35 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #208: mergings( V2 == V3; #205 ), references = 1, size of lhs = 2:
% 3.20/3.35 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #210: mergings( V2 == V3; #206 ), references = 1, size of lhs = 3:
% 3.20/3.35 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #242: exists( #83, #67 ), references = 3, size of lhs = 9:
% 3.20/3.35 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_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V1,V5) | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #244: exists( #82, #240 ), references = 2, size of lhs = 7:
% 3.20/3.35 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_dom-{F}(V1,V4) | P_relation_dom-{T}(V3,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #255: mergings( V2 == V5, V5 == V6; #251 ), references = 1, size of lhs = 7:
% 3.20/3.35 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_function_inverse-{T}(V0,V3)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #258: mergings( V2 == V5, V5 == V6; #252 ), references = 1, size of lhs = 8:
% 3.20/3.35 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_function_inverse-{T}(V0,V4)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #284: mergings( V0 == V4; #282 ), references = 1, size of lhs = 2:
% 3.20/3.35 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #297: mergings( V3 == V4; #294 ), references = 1, size of lhs = 3:
% 3.20/3.35 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #299: mergings( V3 == V4; #295 ), references = 1, size of lhs = 4:
% 3.20/3.35 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V1,V0,V3)
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #307: exists( #83, #68 ), references = 4, size of lhs = 9:
% 3.20/3.35 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4), P_relation_rng-{F}(V2,V5), V4 == V5 | FALSE
% 3.20/3.35 (used 0 times, uses = {})
% 3.20/3.35
% 3.20/3.35 #308: exists( #83, #242 ), references = 1, size of lhs = 7:
% 3.20/3.35 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V1,V3)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #310: exists( #82, #306 ), references = 1, size of lhs = 7:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V1,V4)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #325: exists( #82, #64 ), references = 4, size of lhs = 8:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), relation-{F}(V4), P_relation_dom-{F}(V4,V5), subset-{F}(V2,V5), P_relation_composition-{F}(V1,V4,V6) | P_relation_dom-{T}(V6,V3)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #327: exists( #83, #65 ), references = 4, size of lhs = 8:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation-{F}(V4), P_relation_rng-{F}(V4,V5), subset-{F}(V2,V5), P_relation_composition-{F}(V4,V1,V6) | P_relation_rng-{T}(V6,V3)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #347: mergings( V1 == V13, V3 == V7, V7 == V12, V6 == V8, V8 == V14, V5 == V11, V11 == V15, V9 == V16, V10 == V4; #336 ), references = 2, size of lhs = 13:
% 3.20/3.36 relation-{F}(V0), pppp11-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_rng-{F}(V1,V2), subset-{F}(V2,V3), subset-{F}(V3,V2), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V0,V6), V5 == V6 | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #358: mergings( V1 == V14, V3 == V7, V7 == V12, V6 == V8, V8 == V15, V5 == V11, V11 == V16, V9 == V17, V10 == V4, V4 == V13; #337 ), references = 1, size of lhs = 13:
% 3.20/3.36 relation-{F}(V0), pppp11-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_empty_set-{F}(V2), P_relation_rng-{F}(V1,V3), subset-{F}(V3,V4), subset-{F}(V4,V3), P_relation_dom-{F}(V0,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V0,V6), V5 == V6 | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #371: mergings( V0 == V3; #367 ), references = 1, size of lhs = 3:
% 3.20/3.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp12-{T}(V3)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #373: mergings( V0 == V3; #368 ), references = 1, size of lhs = 3:
% 3.20/3.36 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp12-{T}(V2)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #376: mergings( V0 == V3, V1 == V3; #369 ), references = 1, size of lhs = 3:
% 3.20/3.36 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #397: exists( #82, #307 ), references = 1, size of lhs = 7:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4) | P_relation_dom-{T}(V1,V4)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #412: mergings( V3 == V7, V6 == V8, V4 == V9; #408 ), references = 2, size of lhs = 11:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), relation-{F}(V4), pppp11-{F}(V4), P_relation_dom-{F}(V4,V2), P_function_inverse-{F}(V4,V1), P_relation_rng-{F}(V4,V5), subset-{F}(V5,V3), subset-{F}(V3,V5) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #428: exists( #83, #307 ), references = 2, size of lhs = 7:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), P_function_inverse-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V4) | P_relation_rng-{T}(V2,V4)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #429: exists( #83, #68 ), references = 1, size of lhs = 8:
% 3.20/3.36 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_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5) | P_relation_rng-{T}(V3,V5)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #430: exists( #83, #347 ), references = 1, size of lhs = 11:
% 3.20/3.36 relation-{F}(V0), pppp11-{F}(V1), relation-{F}(V1), function-{F}(V1), P_function_inverse-{F}(V1,V0), P_relation_rng-{F}(V1,V2), subset-{F}(V2,V3), subset-{F}(V3,V2), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V1,V5) | P_relation_rng-{T}(V0,V5)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #441: mergings( V2 == V3, V3 == V6, V6 == V9, V5 == V8; #436 ), references = 1, size of lhs = 13:
% 3.20/3.36 function-{F}(V0), one_to_one-{F}(V0), relation-{F}(V0), pppp11-{F}(V0), relation-{F}(V1), P_function_inverse-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), one_to_one-{F}(V2), P_function_inverse-{F}(V2,V1), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #446: mergings( V2 == V3, V3 == V5, V5 == V6; #442 ), references = 2, size of lhs = 7:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), relation-{F}(V1), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #452: mergings( V2 == V3, V3 == V4, V4 == V5; #448 ), references = 2, size of lhs = 5:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #482: exists( #82, #64 ), references = 1, size of lhs = 8:
% 3.20/3.36 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_dom-{F}(V1,V3), relation-{F}(V4), P_relation_dom-{F}(V4,V5), subset-{F}(V2,V5), P_relation_composition-{F}(V1,V4,V6) | P_relation_dom-{T}(V6,V3)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #519: mergings( V2 == V3; #517 ), references = 1, size of lhs = 5:
% 3.20/3.36 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #527: mergings( V2 == V3, V3 == V4, V4 == V5; #523 ), references = 1, size of lhs = 6:
% 3.20/3.36 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp0-{T}(V4,V0)
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #586: exists( #83, #580 ), references = 1, size of lhs = 8:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_empty_set-{F}(V5) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #588: mergings( V3 == V6; #584 ), references = 1, size of lhs = 9:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), P_function_inverse-{F}(V0,V2), P_relation_composition-{F}(V0,V2,V3), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V5) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #591: mergings( V3 == V8, V5 == V10; #585 ), references = 1, size of lhs = 11:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_composition-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V3,V6), V2 == V6, P_relation_dom-{F}(V0,V7) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #595: exists( #82, #583 ), references = 1, size of lhs = 7:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #599: exists( #79, #592 ), references = 1, size of lhs = 6:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #601: exists( #78, #596 ), references = 2, size of lhs = 5:
% 3.20/3.36 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #707: mergings( V3 == V6, V4 == V7, V5 == V8, V8 == V9; #700 ), references = 1, size of lhs = 6:
% 3.20/3.36 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_empty_set-{F}(V5) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #714: mergings( V3 == V5, V4 == V6, V6 == V7; #708 ), references = 1, size of lhs = 5:
% 3.20/3.36 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V0,V1,V2), P_relation_dom-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #720: mergings( V3 == V4, V4 == V5; #715 ), references = 1, size of lhs = 4:
% 3.20/3.36 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #724: exists( #82, #715 ), references = 1, size of lhs = 3:
% 3.20/3.36 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #728: exists( #78, #721 ), references = 1, size of lhs = 2:
% 3.20/3.36 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #733: mergings( V0 == V2; #729 ), references = 1, size of lhs = 1:
% 3.20/3.36 P_empty_set-{F}(V0) | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 #737: exists( #80, #729 ), references = 1, size of lhs = 0:
% 3.20/3.36 FALSE | FALSE
% 3.20/3.36 (used 0 times, uses = {})
% 3.20/3.36
% 3.20/3.36 number of learnt formulas = 56
% 3.20/3.36
% 3.20/3.36
% 3.20/3.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.36
% 3.20/3.36 randbase = 1
%------------------------------------------------------------------------------