%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 1.82s 2.05s
% Output : Refutation 1.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU034+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 19:15:11 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.82/2.05 GeoParameters:
% 1.82/2.05
% 1.82/2.05 tptp_input = 1
% 1.82/2.05 tptp_output = 0
% 1.82/2.05 nonempty = 1
% 1.82/2.05 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.05 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.82/2.05
% 1.82/2.05
% 1.82/2.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.05
% 1.82/2.05 RuleSystem INPUT:
% 1.82/2.05
% 1.82/2.05 Initial Rules:
% 1.82/2.05 #0: input, references = 3, size of lhs = 2:
% 1.82/2.05 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #1: input, references = 3, size of lhs = 1:
% 1.82/2.05 empty-{F}(V0) | function-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #2: input, references = 3, size of lhs = 1:
% 1.82/2.05 empty-{F}(V0) | relation-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #3: input, references = 3, size of lhs = 3:
% 1.82/2.05 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #4: input, references = 7, size of lhs = 3:
% 1.82/2.05 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #5: input, references = 5, size of lhs = 3:
% 1.82/2.05 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #6: input, references = 3, size of lhs = 3:
% 1.82/2.05 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #7: input, references = 6, size of lhs = 1:
% 1.82/2.05 P_identity_relation-{F}(V0,V1) | relation-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #8: input, references = 5, size of lhs = 1:
% 1.82/2.05 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #9: input, references = 7, size of lhs = 1:
% 1.82/2.05 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #10: input, references = 5, size of lhs = 3:
% 1.82/2.05 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #11: input, references = 3, size of lhs = 3:
% 1.82/2.05 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #12: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #13: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #14: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #15: input, references = 3, size of lhs = 6:
% 1.82/2.05 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)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #16: input, references = 3, size of lhs = 6:
% 1.82/2.05 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)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #17: input, references = 3, size of lhs = 3:
% 1.82/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #18: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #19: input, references = 3, size of lhs = 2:
% 1.82/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #20: input, references = 4, size of lhs = 2:
% 1.82/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #21: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #22: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #23: input, references = 7, size of lhs = 4:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #24: input, references = 3, size of lhs = 4:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #25: input, references = 3, size of lhs = 3:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #26: input, references = 3, size of lhs = 3:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #27: input, references = 3, size of lhs = 3:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #28: input, references = 3, size of lhs = 3:
% 1.82/2.05 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #29: input, references = 5, size of lhs = 4:
% 1.82/2.05 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #30: input, references = 3, size of lhs = 4:
% 1.82/2.05 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #31: input, references = 3, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #32: input, references = 3, size of lhs = 1:
% 1.82/2.05 pppp1-{F}(V0) | function-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #33: input, references = 3, size of lhs = 1:
% 1.82/2.05 pppp1-{F}(V0) | relation-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #34: input, references = 4, size of lhs = 1:
% 1.82/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #35: input, references = 3, size of lhs = 1:
% 1.82/2.05 pppp2-{F}(V0) | relation-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #36: input, references = 5, size of lhs = 1:
% 1.82/2.05 pppp2-{F}(V0) | empty-{T}(V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #37: input, references = 4, size of lhs = 2:
% 1.82/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #38: input, references = 3, size of lhs = 1:
% 1.82/2.05 pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.82/2.05 (used 0 times, uses = {})
% 1.82/2.05
% 1.82/2.05 #39: input, references = 3, size of lhs = 2:
% 1.90/2.05 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #40: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #41: input, references = 4, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #42: input, references = 5, size of lhs = 1:
% 1.90/2.05 pppp4-{F}(V0) | empty-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #43: input, references = 4, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #44: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp5-{F}(V0) | function-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #45: input, references = 5, size of lhs = 1:
% 1.90/2.05 pppp5-{F}(V0) | empty-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #46: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp5-{F}(V0) | relation-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #47: input, references = 3, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #48: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp6-{F}(V0) | relation-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #49: input, references = 4, size of lhs = 2:
% 1.90/2.05 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #50: input, references = 4, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #51: input, references = 5, size of lhs = 1:
% 1.90/2.05 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #52: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #53: input, references = 3, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #54: input, references = 3, size of lhs = 2:
% 1.90/2.05 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #55: input, references = 3, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #56: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #57: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp9-{F}(V0) | function-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #58: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp9-{F}(V0) | relation-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #59: input, references = 3, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #60: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #61: input, references = 3, size of lhs = 1:
% 1.90/2.05 pppp10-{F}(V0) | relation-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #62: input, references = 3, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #63: input, references = 3, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #64: input, references = 5, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #65: input, references = 3, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #66: input, references = 3, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #67: input, references = 5, size of lhs = 10:
% 1.90/2.05 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V4), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V3,V4), P_relation_composition-{F}(V1,V3,V1), P_identity_relation-{F}(V4,V6), relation-{F}(V3), function-{F}(V3), V3 == V6 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #68: input, references = 3, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #69: input, references = 4, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | one_to_one-{T}(V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #70: input, references = 5, size of lhs = 10:
% 1.90/2.05 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
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #71: input, references = 5, size of lhs = 10:
% 1.90/2.05 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
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #72: input, references = 3, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #73: input, references = 5, size of lhs = 12:
% 1.90/2.05 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V2,V1,V6), P_relation_rng-{F}(V1,V7), P_identity_relation-{F}(V7,V8), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V3 == V5 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #74: input, references = 4, size of lhs = 12:
% 1.90/2.05 P_empty_set-{F}(V0), P_function_inverse-{F}(V1,V2), P_relation_composition-{F}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V2,V1,V6), P_relation_rng-{F}(V1,V7), P_identity_relation-{F}(V7,V8), relation-{F}(V1), function-{F}(V1), one_to_one-{F}(V1), V6 == V8 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #75: input, references = 4, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #76: input, references = 4, size of lhs = 3:
% 1.90/2.05 pppp11-{F}(V0), P_identity_relation-{F}(V0,V1), P_function_inverse-{F}(V1,V1) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #77: input, references = 12, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #78: input, references = 4, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), V3 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #79: input, references = 4, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), V4 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #80: input, references = 3, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #81: input, references = 12, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #82: input, references = 5, size of lhs = 1:
% 1.90/2.05 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #83: input, references = 8, size of lhs = 2:
% 1.90/2.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #84: input, references = 5, size of lhs = 1:
% 1.90/2.05 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #85: input, references = 4, size of lhs = 0:
% 1.90/2.05 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #86: input, references = 3, size of lhs = 1:
% 1.90/2.05 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #87: input, references = 6, size of lhs = 1:
% 1.90/2.05 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #88: input, references = 8, size of lhs = 1:
% 1.90/2.05 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 number of initial rules = 89
% 1.90/2.05
% 1.90/2.05 Simplifiers:
% 1.90/2.05 #89: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #90: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #91: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #92: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #93: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #94: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #95: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #96: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #97: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #98: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #99: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #100: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #101: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #102: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #103: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #104: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #105: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #106: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #107: unsound, references = 3, size of lhs = 3:
% 1.90/2.05 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 number of simplifiers = 19
% 1.90/2.05
% 1.90/2.05 Learnt:
% 1.90/2.05 #111: exists( #88, #78 ), references = 1, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V3), V3 == V1 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #113: mergings( V3 == V4; #108 ), references = 1, size of lhs = 6:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #115: exists( #87, #110 ), references = 4, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #118: exists( #83, #73 ), references = 1, size of lhs = 9:
% 1.90/2.05 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_identity_relation-{F}(V2,V3), P_relation_rng-{F}(V1,V4), P_identity_relation-{F}(V4,V5) | P_relation_composition-{T}(V1,V1,V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #119: exists( #83, #74 ), references = 1, size of lhs = 9:
% 1.90/2.05 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_identity_relation-{F}(V2,V3), P_relation_rng-{F}(V1,V4), P_identity_relation-{F}(V4,V5) | P_relation_composition-{T}(V1,V1,V5)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #125: mergings( V0 == V2; #122 ), references = 1, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #127: mergings( V0 == V2; #123 ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #137: mergings( V0 == V2; #134 ), references = 1, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #139: mergings( V0 == V2; #135 ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #154: mergings( V2 == V3, V3 == V4; #150 ), references = 1, size of lhs = 2:
% 1.90/2.05 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #157: mergings( V2 == V3, V3 == V4; #151 ), references = 1, size of lhs = 3:
% 1.90/2.05 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #162: mergings( V4 == V3; #158 ), references = 2, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V1) | P_relation_rng-{T}(V2,V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #178: mergings( V0 == V2; #175 ), references = 1, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #180: mergings( V0 == V2; #176 ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #201: disj( #64, input ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #203: mergings( V0 == V3; #200 ), references = 4, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #222: exists( #83, #217 ), references = 1, size of lhs = 3:
% 1.90/2.05 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #223: exists( #83, #218 ), references = 1, size of lhs = 4:
% 1.90/2.05 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #237: mergings( V3 == V4; #234 ), references = 2, size of lhs = 3:
% 1.90/2.05 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #239: mergings( V3 == V4; #235 ), references = 1, size of lhs = 4:
% 1.90/2.05 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V1,V0,V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #256: mergings( V2 == V5; #252 ), references = 2, size of lhs = 5:
% 1.90/2.05 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #259: mergings( V2 == V5, V0 == V5; #253 ), references = 1, size of lhs = 6:
% 1.90/2.05 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #262: mergings( V0 == V2, V2 == V3; #254 ), references = 1, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V0), pppp6-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V0,V1) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #265: exists( #8, #263 ), references = 1, size of lhs = 3:
% 1.90/2.05 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #282: mergings( V0 == V3; #278 ), references = 1, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #285: mergings( V0 == V3, V2 == V3; #279 ), references = 1, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #288: mergings( V0 == V4, V2 == V4; #280 ), references = 1, size of lhs = 5:
% 1.90/2.05 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V3,V2), V3 == V0 | in-{T}(V1,V0)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #297: exists( #88, #70 ), references = 2, size of lhs = 9:
% 1.90/2.05 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
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #299: exists( #87, #295 ), references = 5, size of lhs = 7:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #325: exists( #88, #71 ), references = 2, size of lhs = 9:
% 1.90/2.05 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
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #326: exists( #88, #297 ), references = 1, size of lhs = 7:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #328: exists( #87, #324 ), references = 1, size of lhs = 7:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #333: mergings( V0 == V3; #329 ), references = 1, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp12-{T}(V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #336: mergings( V0 == V3, V1 == V3; #330 ), references = 1, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp12-{T}(V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #340: mergings( V0 == V4, V2 == V3, V1 == V4; #331 ), references = 1, size of lhs = 4:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp12-{T}(V1)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #371: mergings( V0 == V4; #368 ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #373: mergings( V0 == V4; #369 ), references = 1, size of lhs = 3:
% 1.90/2.05 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp7-{T}(V1,V3)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #390: mergings( V2 == V5, V5 == V6; #385 ), references = 1, size of lhs = 7:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #393: mergings( V2 == V5, V5 == V6; #386 ), references = 1, size of lhs = 8:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #396: mergings( V2 == V5, V5 == V6; #387 ), references = 1, size of lhs = 11:
% 1.90/2.05 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), empty-{F}(V3), relation-{F}(V3), function-{F}(V3), P_relation_rng-{F}(V3,V1), P_empty_set-{F}(V3), P_identity_relation-{F}(V1,V4) | P_function_inverse-{T}(V0,V4)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #422: exists( #88, #325 ), references = 1, size of lhs = 7:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #423: exists( #88, #71 ), references = 1, size of lhs = 8:
% 1.90/2.05 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)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #462: exists( #83, #73 ), references = 1, size of lhs = 11:
% 1.90/2.05 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}(V1,V2,V3), P_relation_dom-{F}(V1,V4), P_identity_relation-{F}(V4,V5), V3 == V5, P_relation_rng-{F}(V1,V6), P_identity_relation-{F}(V6,V7) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #464: exists( #83, #461 ), references = 1, size of lhs = 9:
% 1.90/2.05 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}(V1,V3), P_identity_relation-{F}(V3,V4), P_relation_rng-{F}(V1,V5), P_identity_relation-{F}(V5,V6) | P_relation_composition-{T}(V1,V2,V4)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #475: mergings( V2 == V5, V5 == V9, V4 == V6, V3 == V7, V8 == V10; #469 ), references = 2, size of lhs = 8:
% 1.90/2.05 one_to_one-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V0), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3), P_identity_relation-{F}(V2,V4) | P_function_inverse-{T}(V0,V4)
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #499: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #494 ), references = 1, size of lhs = 2:
% 1.90/2.05 P_empty_set-{F}(V0), pppp11-{F}(V1) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #506: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #500 ), references = 1, size of lhs = 1:
% 1.90/2.05 P_empty_set-{F}(V0) | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 #508: exists( #85, #500 ), references = 1, size of lhs = 0:
% 1.90/2.05 FALSE | FALSE
% 1.90/2.05 (used 0 times, uses = {})
% 1.90/2.05
% 1.90/2.05 number of learnt formulas = 48
% 1.90/2.05
% 1.90/2.05
% 1.90/2.05 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.90/2.05
% 1.90/2.05 randbase = 1
%------------------------------------------------------------------------------