TSTP Solution File: SEU020+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 5.72s 5.90s
% Output : Refutation 5.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:30:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.72/5.90 GeoParameters:
% 5.72/5.90
% 5.72/5.90 tptp_input = 1
% 5.72/5.90 tptp_output = 0
% 5.72/5.90 nonempty = 1
% 5.72/5.90 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.72/5.90 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.72/5.90
% 5.72/5.90
% 5.72/5.90 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.72/5.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.72/5.90
% 5.72/5.90 RuleSystem INPUT:
% 5.72/5.90
% 5.72/5.90 Initial Rules:
% 5.72/5.90 #0: input, references = 3, size of lhs = 2:
% 5.72/5.90 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #1: input, references = 3, size of lhs = 1:
% 5.72/5.90 empty-{F}(V0) | function-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #2: input, references = 3, size of lhs = 1:
% 5.72/5.90 empty-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #3: input, references = 3, size of lhs = 3:
% 5.72/5.90 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #4: input, references = 5, size of lhs = 1:
% 5.72/5.90 P_identity_relation-{F}(V0,V1) | relation-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #5: input, references = 5, size of lhs = 1:
% 5.72/5.90 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #6: input, references = 5, size of lhs = 1:
% 5.72/5.90 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #7: input, references = 5, size of lhs = 3:
% 5.72/5.90 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #8: input, references = 3, size of lhs = 3:
% 5.72/5.90 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #9: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #10: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #11: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #12: input, references = 3, size of lhs = 6:
% 5.72/5.90 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)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #13: input, references = 3, size of lhs = 6:
% 5.72/5.90 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)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #14: input, references = 3, size of lhs = 3:
% 5.72/5.90 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #15: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #16: input, references = 3, size of lhs = 2:
% 5.72/5.90 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #17: input, references = 3, size of lhs = 2:
% 5.72/5.90 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #18: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #19: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #20: input, references = 5, size of lhs = 4:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #21: input, references = 3, size of lhs = 4:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #22: input, references = 3, size of lhs = 3:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #23: input, references = 3, size of lhs = 3:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #24: input, references = 3, size of lhs = 3:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #25: input, references = 3, size of lhs = 3:
% 5.72/5.90 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #26: input, references = 4, size of lhs = 4:
% 5.72/5.90 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #27: input, references = 3, size of lhs = 4:
% 5.72/5.90 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #28: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #29: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp1-{F}(V0) | function-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #30: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp1-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #31: input, references = 4, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #32: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp2-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #33: input, references = 5, size of lhs = 1:
% 5.72/5.90 pppp2-{F}(V0) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #34: input, references = 4, size of lhs = 2:
% 5.72/5.90 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp11-{T}(V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #35: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp11-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #36: input, references = 3, size of lhs = 2:
% 5.72/5.90 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #37: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #38: input, references = 4, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #39: input, references = 5, size of lhs = 1:
% 5.72/5.90 pppp4-{F}(V0) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #40: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #41: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp5-{F}(V0) | relation-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #42: input, references = 3, size of lhs = 2:
% 5.72/5.90 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #43: input, references = 4, size of lhs = 2:
% 5.72/5.90 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V2)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #44: input, references = 4, size of lhs = 1:
% 5.72/5.90 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #45: input, references = 3, size of lhs = 1:
% 5.72/5.90 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #46: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #47: input, references = 3, size of lhs = 2:
% 5.72/5.90 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 5.72/5.90 (used 0 times, uses = {})
% 5.72/5.90
% 5.72/5.90 #48: input, references = 3, size of lhs = 1:
% 5.72/5.90 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #49: input, references = 3, size of lhs = 1:
% 5.72/5.91 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #50: input, references = 3, size of lhs = 1:
% 5.72/5.91 pppp8-{F}(V0) | relation-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #51: input, references = 3, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #52: input, references = 3, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #53: input, references = 5, size of lhs = 10:
% 5.72/5.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V3,V6), P_relation_rng-{F}(V3,V7), relation-{F}(V3), function-{F}(V3) | subset-{T}(V7,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #54: input, references = 4, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #55: input, references = 3, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #56: input, references = 3, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #57: input, references = 5, size of lhs = 10:
% 5.72/5.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V3,V1,V4), P_relation_rng-{F}(V3,V5), relation-{F}(V3), function-{F}(V3), one_to_one-{F}(V4), subset-{F}(V5,V2) | one_to_one-{T}(V3)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #58: input, references = 3, size of lhs = 4:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #59: input, references = 4, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | one_to_one-{T}(V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #60: input, references = 4, size of lhs = 1:
% 5.72/5.91 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #61: input, references = 5, size of lhs = 4:
% 5.72/5.91 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), one_to_one-{F}(V0) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #62: input, references = 4, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V0,V3,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #63: input, references = 6, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2) | function-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #64: input, references = 4, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2) | relation-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #65: input, references = 4, size of lhs = 3:
% 5.72/5.91 pppp9-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V3), V3 == V2 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #66: input, references = 5, size of lhs = 2:
% 5.72/5.91 pppp9-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V3) | function-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #67: input, references = 5, size of lhs = 2:
% 5.72/5.91 pppp9-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V3) | relation-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #68: input, references = 4, size of lhs = 5:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #69: input, references = 9, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #70: input, references = 4, size of lhs = 5:
% 5.72/5.91 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
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #71: input, references = 4, size of lhs = 5:
% 5.72/5.91 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
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #72: input, references = 3, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #73: input, references = 7, size of lhs = 4:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #74: input, references = 6, size of lhs = 2:
% 5.72/5.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #75: input, references = 8, size of lhs = 1:
% 5.72/5.91 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #76: input, references = 4, size of lhs = 0:
% 5.72/5.91 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #77: input, references = 3, size of lhs = 1:
% 5.72/5.91 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #78: input, references = 7, size of lhs = 1:
% 5.72/5.91 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #79: input, references = 6, size of lhs = 1:
% 5.72/5.91 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 number of initial rules = 80
% 5.72/5.91
% 5.72/5.91 Simplifiers:
% 5.72/5.91 #80: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #81: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #82: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #83: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #84: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #85: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #86: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #87: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #88: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #89: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #90: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #91: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #92: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #93: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #94: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #95: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #96: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #97: unsound, references = 3, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 number of simplifiers = 18
% 5.72/5.91
% 5.72/5.91 Learnt:
% 5.72/5.91 #99: exists( #79, #70 ), references = 1, size of lhs = 4:
% 5.72/5.91 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V3), V3 == V1 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #101: exists( #78, #98 ), references = 4, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #104: mergings( V4 == V3; #102 ), references = 1, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2), P_relation_dom-{F}(V2,V1) | P_relation_rng-{T}(V2,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #111: mergings( V0 == V2; #108 ), references = 1, size of lhs = 1:
% 5.72/5.91 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #113: mergings( V0 == V2; #109 ), references = 1, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #123: mergings( V0 == V2; #120 ), references = 1, size of lhs = 1:
% 5.72/5.91 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #125: mergings( V0 == V2; #121 ), references = 1, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #142: mergings( V2 == V3, V3 == V4; #138 ), references = 1, size of lhs = 2:
% 5.72/5.91 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #145: mergings( V2 == V3, V3 == V4; #139 ), references = 1, size of lhs = 3:
% 5.72/5.91 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #150: mergings( V0 == V3; #146 ), references = 2, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #153: mergings( V0 == V3, V2 == V3; #147 ), references = 1, size of lhs = 4:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #155: mergings( V2 == V0; #148 ), references = 1, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), pppp7-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #162: exists( #74, #157 ), references = 1, size of lhs = 3:
% 5.72/5.91 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #163: exists( #74, #158 ), references = 1, size of lhs = 4:
% 5.72/5.91 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #174: mergings( V0 == V3; #170 ), references = 1, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp11-{T}(V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #177: mergings( V0 == V3, V1 == V3; #171 ), references = 1, size of lhs = 4:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp11-{T}(V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #180: mergings( V0 == V3, V1 == V3; #172 ), references = 1, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp11-{T}(V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #186: mergings( V3 == V4; #184 ), references = 1, size of lhs = 3:
% 5.72/5.91 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #212: mergings( V0 == V4; #210 ), references = 1, size of lhs = 2:
% 5.72/5.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp6-{T}(V0,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #217: mergings( V2 == V3; #215 ), references = 2, size of lhs = 5:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #221: exists( #5, #219 ), references = 1, size of lhs = 3:
% 5.72/5.91 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp0-{T}(V2,V0)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #237: exists( #75, #61 ), references = 2, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), one_to_one-{F}(V0), P_relation_dom-{F}(V0,V1) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #248: exists( #75, #245 ), references = 2, size of lhs = 11:
% 5.72/5.91 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), pppp10-{F}(V3), P_relation_composition-{F}(V3,V1,V4), one_to_one-{F}(V4), P_relation_rng-{F}(V3,V5), subset-{F}(V5,V2), P_relation_dom-{F}(V3,V6) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #250: mergings( V0 == V8; #246 ), references = 2, size of lhs = 11:
% 5.72/5.91 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), pppp10-{F}(V3), P_relation_composition-{F}(V3,V1,V4), one_to_one-{F}(V4), P_relation_rng-{F}(V3,V5), subset-{F}(V5,V2), P_relation_dom-{F}(V3,V6) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #705: exists( #74, #65 ), references = 3, size of lhs = 1:
% 5.72/5.91 pppp9-{F}(V0,V1,V2) | P_relation_composition-{T}(V0,V1,V2)
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #820: mergings( V2 == V7; #817 ), references = 1, size of lhs = 15:
% 5.72/5.91 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_composition-{F}(V0,V4,V5), P_relation_dom-{F}(V5,V1), relation-{F}(V6), pppp10-{F}(V6), P_relation_rng-{F}(V6,V2), P_relation_composition-{F}(V6,V4,V7), one_to_one-{F}(V7), P_relation_dom-{F}(V6,V8) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #822: mergings( V2 == V7; #818 ), references = 1, size of lhs = 15:
% 5.72/5.91 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_composition-{F}(V0,V4,V5), P_relation_dom-{F}(V5,V1), relation-{F}(V6), pppp10-{F}(V6), P_relation_rng-{F}(V6,V2), P_relation_composition-{F}(V6,V4,V7), one_to_one-{F}(V7), P_relation_dom-{F}(V6,V8) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #834: mergings( V4 == V6, V1 == V5, V5 == V8; #829 ), references = 1, size of lhs = 9:
% 5.72/5.91 function-{F}(V0), relation-{F}(V0), pppp10-{F}(V0), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_identity_relation-{F}(V2,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #838: mergings( V4 == V6, V1 == V5, V5 == V8; #830 ), references = 1, size of lhs = 9:
% 5.72/5.91 function-{F}(V0), relation-{F}(V0), pppp10-{F}(V0), one_to_one-{F}(V1), P_relation_dom-{F}(V1,V2), P_identity_relation-{F}(V2,V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #851: mergings( V2 == V3, V3 == V4, V4 == V6, V0 == V8; #845 ), references = 1, size of lhs = 5:
% 5.72/5.91 relation-{F}(V0), pppp10-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V0,V3) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #858: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #852 ), references = 1, size of lhs = 4:
% 5.72/5.91 relation-{F}(V0), pppp10-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #864: mergings( V2 == V3, V3 == V4, V4 == V5; #859 ), references = 2, size of lhs = 3:
% 5.72/5.91 relation-{F}(V0), pppp10-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #895: exists( #75, #889 ), references = 1, size of lhs = 3:
% 5.72/5.91 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #898: exists( #78, #892 ), references = 1, size of lhs = 2:
% 5.72/5.91 pppp10-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #902: mergings( V0 == V2; #899 ), references = 1, size of lhs = 1:
% 5.72/5.91 P_empty_set-{F}(V0) | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 #905: exists( #76, #899 ), references = 1, size of lhs = 0:
% 5.72/5.91 FALSE | FALSE
% 5.72/5.91 (used 0 times, uses = {})
% 5.72/5.91
% 5.72/5.91 number of learnt formulas = 36
% 5.72/5.91
% 5.72/5.91
% 5.72/5.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.72/5.91
% 5.72/5.91 randbase = 1
%------------------------------------------------------------------------------