%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU026+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 1.28s 1.44s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : SEU026+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 19:36:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 1.28/1.44 GeoParameters:
% 1.28/1.44
% 1.28/1.44 tptp_input = 1
% 1.28/1.44 tptp_output = 0
% 1.28/1.44 nonempty = 1
% 1.28/1.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.28/1.44
% 1.28/1.44
% 1.28/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.44
% 1.28/1.44 RuleSystem INPUT:
% 1.28/1.44
% 1.28/1.44 Initial Rules:
% 1.28/1.44 #0: input, references = 3, size of lhs = 2:
% 1.28/1.44 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #1: input, references = 3, size of lhs = 1:
% 1.28/1.44 empty-{F}(V0) | function-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #2: input, references = 3, size of lhs = 1:
% 1.28/1.44 empty-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #3: input, references = 3, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #4: input, references = 7, size of lhs = 3:
% 1.28/1.44 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #5: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #6: input, references = 3, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #7: input, references = 5, size of lhs = 1:
% 1.28/1.44 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #8: input, references = 5, size of lhs = 1:
% 1.28/1.44 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #9: input, references = 5, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #10: input, references = 3, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #11: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #12: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #13: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #14: input, references = 3, size of lhs = 6:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #15: input, references = 3, size of lhs = 6:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #16: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #17: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #18: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #19: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #20: input, references = 5, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #21: input, references = 3, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #22: input, references = 5, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #23: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #24: input, references = 5, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #25: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #26: input, references = 4, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #27: input, references = 3, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #28: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #29: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp1-{F}(V0) | function-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #30: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp1-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #31: input, references = 4, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #32: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp2-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #33: input, references = 5, size of lhs = 1:
% 1.28/1.44 pppp2-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #34: input, references = 4, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #35: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #36: input, references = 3, size of lhs = 2:
% 1.28/1.44 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #37: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #38: input, references = 4, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #39: input, references = 5, size of lhs = 1:
% 1.28/1.44 pppp4-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #40: input, references = 4, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #41: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp5-{F}(V0) | function-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #42: input, references = 5, size of lhs = 1:
% 1.28/1.44 pppp5-{F}(V0) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #43: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp5-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #44: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #45: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp6-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #46: input, references = 3, size of lhs = 2:
% 1.28/1.44 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #47: input, references = 4, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #48: input, references = 5, size of lhs = 1:
% 1.28/1.44 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #49: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #50: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #51: input, references = 3, size of lhs = 2:
% 1.28/1.44 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #52: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #53: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #54: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp9-{F}(V0) | function-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #55: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp9-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #56: input, references = 3, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #57: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #58: input, references = 3, size of lhs = 1:
% 1.28/1.44 pppp10-{F}(V0) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #59: input, references = 5, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #60: input, references = 3, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #61: input, references = 4, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #62: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #63: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #64: input, references = 4, size of lhs = 10:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #65: input, references = 4, size of lhs = 10:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #66: input, references = 3, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #67: input, references = 5, size of lhs = 10:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #68: input, references = 4, size of lhs = 10:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #69: input, references = 4, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #70: input, references = 5, size of lhs = 6:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V2,V4), P_relation_rng-{F}(V0,V4), P_relation_rng-{F}(V2,V4) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #71: input, references = 4, size of lhs = 6:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | one_to_one-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #72: input, references = 4, size of lhs = 6:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | function-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #73: input, references = 4, size of lhs = 6:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | relation-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #74: input, references = 4, size of lhs = 5:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #75: input, references = 12, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #76: input, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #77: input, references = 11, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #78: input, references = 7, size of lhs = 1:
% 1.28/1.44 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #79: input, references = 7, size of lhs = 2:
% 1.28/1.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #80: input, references = 4, size of lhs = 0:
% 1.28/1.44 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #81: input, references = 3, size of lhs = 1:
% 1.28/1.44 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #82: input, references = 10, size of lhs = 1:
% 1.28/1.44 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #83: input, references = 12, size of lhs = 1:
% 1.28/1.44 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 number of initial rules = 84
% 1.28/1.44
% 1.28/1.44 Simplifiers:
% 1.28/1.44 #84: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #85: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #86: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #87: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #88: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #89: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #90: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #91: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #92: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #93: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #94: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #95: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #96: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #97: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #98: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #99: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #100: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #101: unsound, references = 3, size of lhs = 3:
% 1.28/1.44 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 number of simplifiers = 18
% 1.28/1.44
% 1.28/1.44 Learnt:
% 1.28/1.44 #120: mergings( V2 == V3; #117 ), references = 1, size of lhs = 2:
% 1.28/1.44 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #122: mergings( V2 == V3; #118 ), references = 1, size of lhs = 3:
% 1.28/1.44 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #129: mergings( V0 == V2; #126 ), references = 1, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #131: mergings( V0 == V2; #127 ), references = 1, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #149: exists( #79, #145 ), references = 2, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #150: exists( #79, #146 ), references = 1, size of lhs = 4:
% 1.28/1.44 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #157: mergings( V0 == V2; #154 ), references = 1, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #159: mergings( V0 == V2; #155 ), references = 1, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #166: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #168: mergings( V0 == V2; #164 ), references = 1, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #191: mergings( V0 == V3; #187 ), references = 2, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #194: mergings( V0 == V3, V2 == V3; #188 ), references = 1, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #197: mergings( V0 == V3, V2 == V3; #189 ), references = 1, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #208: mergings( V2 == V3; #205 ), references = 1, size of lhs = 2:
% 1.28/1.44 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #210: mergings( V2 == V3; #206 ), references = 1, size of lhs = 3:
% 1.28/1.44 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #234: exists( #78, #232 ), references = 1, size of lhs = 8:
% 1.28/1.44 relation-{F}(V0), function-{F}(V0), empty-{F}(V0), pppp11-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V0,V2), P_relation_rng-{F}(V1,V2) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #255: exists( #83, #67 ), references = 4, size of lhs = 9:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #257: exists( #82, #254 ), references = 4, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #274: mergings( V2 == V5, V5 == V6; #270 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #277: mergings( V2 == V5, V5 == V6; #271 ), references = 1, size of lhs = 8:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #290: mergings( V3 == V4; #288 ), references = 1, size of lhs = 3:
% 1.28/1.44 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #295: mergings( V2 == V3; #293 ), references = 2, size of lhs = 5:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #299: exists( #7, #297 ), references = 1, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp0-{T}(V2,V0)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #311: exists( #83, #68 ), references = 3, size of lhs = 9:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #312: exists( #83, #255 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #314: exists( #82, #309 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #341: mergings( V0 == V3; #337 ), references = 1, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp12-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #344: mergings( V0 == V3, V1 == V3; #338 ), references = 1, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #348: mergings( V0 == V3, V2 == V4, V1 == V3; #339 ), references = 1, size of lhs = 4:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp12-{T}(V1)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #362: exists( #83, #255 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #363: exists( #83, #311 ), references = 2, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #365: mergings( V3 == V4; #361 ), references = 2, size of lhs = 6:
% 1.28/1.44 P_empty_set-{F}(V0), relation-{F}(V1), P_function_inverse-{F}(V1,V1), function-{F}(V1), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #374: mergings( V0 == V4; #371 ), references = 1, size of lhs = 2:
% 1.28/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #376: mergings( V0 == V4; #372 ), references = 1, size of lhs = 3:
% 1.28/1.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp7-{T}(V1,V3)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #395: exists( #83, #255 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #396: exists( #83, #311 ), references = 1, size of lhs = 7:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #437: exists( #82, #64 ), references = 1, size of lhs = 8:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #460: exists( #83, #65 ), references = 1, size of lhs = 8:
% 1.28/1.44 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)
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #467: mergings( V3 == V7, V6 == V8, V4 == V9; #463 ), references = 3, size of lhs = 11:
% 1.28/1.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), P_function_inverse-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V1,V4), P_relation_rng-{F}(V3,V5), subset-{F}(V5,V2), subset-{F}(V2,V5) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #474: mergings( V2 == V3, V3 == V4; #471 ), references = 1, size of lhs = 6:
% 1.28/1.44 function-{F}(V0), one_to_one-{F}(V0), pppp11-{F}(V0), relation-{F}(V0), P_function_inverse-{F}(V0,V0), P_empty_set-{F}(V1) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #491: mergings( V2 == V5, V5 == V8, V4 == V9; #487 ), references = 2, size of lhs = 15:
% 1.28/1.44 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_empty_set-{F}(V4), P_relation_dom-{F}(V0,V5), subset-{F}(V3,V5), subset-{F}(V5,V3) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #495: mergings( V2 == V4; #493 ), references = 1, size of lhs = 7:
% 1.28/1.44 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
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #499: mergings( V2 == V3; #497 ), references = 2, size of lhs = 5:
% 1.28/1.44 pppp11-{F}(V0), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #546: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V10, V5 == V8, V8 == V11; #537 ), references = 1, size of lhs = 6:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V0,V4), P_empty_set-{F}(V5) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #554: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #547 ), references = 1, size of lhs = 5:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_composition-{F}(V1,V0,V2), P_relation_rng-{F}(V0,V3), P_empty_set-{F}(V4) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #560: mergings( V3 == V4, V4 == V5; #555 ), references = 1, size of lhs = 4:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #564: exists( #83, #555 ), references = 1, size of lhs = 3:
% 1.28/1.44 pppp11-{F}(V0), P_function_inverse-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #566: exists( #78, #561 ), references = 1, size of lhs = 2:
% 1.28/1.44 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #569: mergings( V0 == V2; #567 ), references = 1, size of lhs = 1:
% 1.28/1.44 P_empty_set-{F}(V0) | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 #571: exists( #80, #567 ), references = 1, size of lhs = 0:
% 1.28/1.44 FALSE | FALSE
% 1.28/1.44 (used 0 times, uses = {})
% 1.28/1.44
% 1.28/1.44 number of learnt formulas = 50
% 1.28/1.44
% 1.28/1.44
% 1.28/1.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.28/1.44
% 1.28/1.44 randbase = 1
%------------------------------------------------------------------------------