TSTP Solution File: SEU010+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:17:04 EDT 2022
% Result : Theorem 0.76s 0.95s
% Output : Refutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:36:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/0.95 GeoParameters:
% 0.76/0.95
% 0.76/0.95 tptp_input = 1
% 0.76/0.95 tptp_output = 0
% 0.76/0.95 nonempty = 1
% 0.76/0.95 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.76/0.95
% 0.76/0.95
% 0.76/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95
% 0.76/0.95 RuleSystem INPUT:
% 0.76/0.95
% 0.76/0.95 Initial Rules:
% 0.76/0.95 #0: input, references = 3, size of lhs = 2:
% 0.76/0.95 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #1: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #2: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #3: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #4: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #5: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #6: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #7: input, references = 3, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #8: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #9: input, references = 3, size of lhs = 5:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #10: input, references = 5, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #11: input, references = 6, size of lhs = 1:
% 0.76/0.95 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #12: input, references = 3, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #13: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #14: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #15: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #16: input, references = 5, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #17: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #18: input, references = 5, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #19: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #20: input, references = 4, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #21: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #22: input, references = 5, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V1,V2,V3), empty-{F}(V2) | empty-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #23: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V1,V2,V3), empty-{F}(V2) | relation-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #24: input, references = 3, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #25: input, references = 5, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #26: input, references = 11, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #27: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #28: input, references = 9, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #29: input, references = 5, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #30: input, references = 3, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #31: input, references = 4, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #32: input, references = 3, size of lhs = 6:
% 0.76/0.95 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)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #33: input, references = 3, size of lhs = 6:
% 0.76/0.95 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)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #34: input, references = 3, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #35: input, references = 3, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #36: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #37: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp1-{F}(V0) | function-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #38: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp1-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #39: input, references = 4, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp10-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #40: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp10-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #41: input, references = 3, size of lhs = 2:
% 0.76/0.95 pppp2-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #42: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp2-{F}(V0,V1) | element-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #43: input, references = 4, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp3-{T}(V3,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #44: input, references = 4, size of lhs = 1:
% 0.76/0.95 pppp3-{F}(V0,V1) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #45: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #46: input, references = 4, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #47: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp4-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #48: input, references = 5, size of lhs = 1:
% 0.76/0.95 pppp4-{F}(V0) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #49: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #50: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp5-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #51: input, references = 3, size of lhs = 2:
% 0.76/0.95 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #52: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #53: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp6-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #54: input, references = 3, size of lhs = 1:
% 0.76/0.95 pppp6-{F}(V0) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #55: input, references = 4, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #56: input, references = 5, size of lhs = 1:
% 0.76/0.95 pppp7-{F}(V0) | empty-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #57: input, references = 3, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #58: input, references = 3, size of lhs = 2:
% 0.76/0.95 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #59: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #60: input, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #61: input, references = 4, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #62: input, references = 5, size of lhs = 7:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_relation_composition-{F}(V2,V0,V0), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V0,V5,V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #63: input, references = 3, size of lhs = 7:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_relation_composition-{F}(V2,V0,V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V0,V5,V6) | function-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #64: input, references = 5, size of lhs = 7:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_relation_composition-{F}(V2,V0,V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V0,V5,V6) | relation-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #65: input, references = 5, size of lhs = 7:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V4,V1,V5), subset-{F}(V2,V3), V5 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #66: input, references = 5, size of lhs = 7:
% 0.76/0.95 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V4,V5), subset-{F}(V2,V3), V5 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #67: input, references = 4, size of lhs = 0:
% 0.76/0.95 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #68: input, references = 3, size of lhs = 1:
% 0.76/0.95 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #69: input, references = 5, size of lhs = 1:
% 0.76/0.95 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #70: input, references = 5, size of lhs = 1:
% 0.76/0.95 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #71: input, references = 11, size of lhs = 2:
% 0.76/0.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #72: input, references = 7, size of lhs = 1:
% 0.76/0.95 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 number of initial rules = 73
% 0.76/0.95
% 0.76/0.95 Simplifiers:
% 0.76/0.95 #73: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #74: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #75: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #76: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #77: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #78: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #79: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #80: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #81: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #82: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #83: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #84: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #85: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #86: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #87: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #88: unsound, references = 3, size of lhs = 3:
% 0.76/0.95 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 number of simplifiers = 16
% 0.76/0.95
% 0.76/0.95 Learnt:
% 0.76/0.95 #94: mergings( V0 == V2; #91 ), references = 1, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #96: mergings( V0 == V2; #92 ), references = 1, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #103: mergings( V0 == V2; #100 ), references = 1, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #105: mergings( V0 == V2; #101 ), references = 1, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #116: mergings( V2 == V3; #113 ), references = 1, size of lhs = 2:
% 0.76/0.95 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #118: mergings( V2 == V3; #114 ), references = 1, size of lhs = 3:
% 0.76/0.95 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #134: mergings( V0 == V3; #131 ), references = 1, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp10-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #137: mergings( V0 == V3, V1 == V3; #132 ), references = 1, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp10-{T}(V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #154: mergings( V2 == V3; #151 ), references = 1, size of lhs = 2:
% 0.76/0.95 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #156: mergings( V2 == V3; #152 ), references = 1, size of lhs = 3:
% 0.76/0.95 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #171: disj( #25, input ), references = 1, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #173: mergings( V0 == V3; #170 ), references = 3, size of lhs = 5:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #198: mergings( V3 == V4; #195 ), references = 2, size of lhs = 3:
% 0.76/0.95 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #200: mergings( V3 == V4; #196 ), references = 1, size of lhs = 4:
% 0.76/0.95 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #212: exists( #71, #66 ), references = 2, size of lhs = 5:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), subset-{F}(V2,V3), P_identity_relation-{F}(V3,V4) | P_relation_composition-{T}(V1,V4,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #221: mergings( V2 == V3, V3 == V4, V5 == V0; #217 ), references = 1, size of lhs = 7:
% 0.76/0.95 empty-{F}(V0), relation-{F}(V0), pppp9-{F}(V0), P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), subset-{F}(V1,V1), P_relation_rng-{F}(V0,V1) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #250: mergings( V0 == V3; #246 ), references = 1, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #252: mergings( V0 == V3; #247 ), references = 1, size of lhs = 3:
% 0.76/0.95 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #255: mergings( V0 == V3, V2 == V3; #248 ), references = 1, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #271: mergings( V4 == V8; #269 ), references = 2, size of lhs = 11:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), P_relation_composition-{F}(V0,V5,V6), subset-{F}(V4,V7), P_identity_relation-{F}(V7,V8), P_relation_composition-{F}(V0,V8,V9), V9 == V0 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #274: mergings( V5 == V7; #272 ), references = 1, size of lhs = 8:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_rng-{F}(V0,V4), P_identity_relation-{F}(V4,V5), subset-{F}(V4,V6), P_identity_relation-{F}(V6,V5) | P_relation_composition-{T}(V0,V5,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #279: mergings( V3 == V8; #277 ), references = 2, size of lhs = 9:
% 0.76/0.95 pppp9-{F}(V0), P_relation_rng-{F}(V0,V1), P_identity_relation-{F}(V1,V2), P_relation_composition-{F}(V0,V2,V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V0,V5), P_identity_relation-{F}(V5,V6), subset-{F}(V5,V7), P_identity_relation-{F}(V7,V6) | P_relation_composition-{T}(V6,V0,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #292: exists( #71, #65 ), references = 1, size of lhs = 5:
% 0.76/0.95 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), subset-{F}(V2,V3), P_identity_relation-{F}(V3,V4) | P_relation_composition-{T}(V4,V1,V1)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #299: mergings( V3 == V4; #297 ), references = 1, size of lhs = 3:
% 0.76/0.95 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #316: mergings( V0 == V3, V3 == V6; #311 ), references = 2, size of lhs = 5:
% 0.76/0.95 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #320: mergings( V0 == V3, V3 == V6, V1 == V6; #313 ), references = 1, size of lhs = 6:
% 0.76/0.95 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #340: mergings( V0 == V4; #338 ), references = 1, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp3-{T}(V0,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #347: mergings( V0 == V4; #345 ), references = 1, size of lhs = 3:
% 0.76/0.95 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1,V2)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #355: exists( #72, #271 ), references = 1, size of lhs = 10:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V0,V4,V5), subset-{F}(V3,V6), P_identity_relation-{F}(V6,V7), P_relation_composition-{F}(V0,V7,V8), V8 == V0 | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #357: exists( #71, #354 ), references = 1, size of lhs = 7:
% 0.76/0.95 pppp9-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V0,V3), P_identity_relation-{F}(V3,V4), subset-{F}(V3,V5), P_identity_relation-{F}(V5,V4) | P_relation_composition-{T}(V0,V4,V0)
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #371: mergings( V4 == V7, V5 == V8, V6 == V3; #367 ), references = 1, size of lhs = 7:
% 0.76/0.95 P_empty_set-{F}(V0), pppp9-{F}(V1), P_relation_dom-{F}(V1,V2), subset-{F}(V2,V2), P_relation_rng-{F}(V1,V3), P_identity_relation-{F}(V3,V4), P_relation_composition-{F}(V1,V4,V1) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #376: mergings( V2 == V3, V5 == V6; #373 ), references = 2, size of lhs = 6:
% 0.76/0.95 P_empty_set-{F}(V0), pppp9-{F}(V1), P_relation_dom-{F}(V1,V2), subset-{F}(V2,V2), P_relation_rng-{F}(V1,V3), subset-{F}(V3,V3) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #404: mergings( V2 == V3; #402 ), references = 2, size of lhs = 4:
% 0.76/0.95 P_empty_set-{F}(V0), pppp9-{F}(V1), P_relation_dom-{F}(V1,V2), subset-{F}(V2,V2) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #408: mergings( V2 == V3; #406 ), references = 1, size of lhs = 2:
% 0.76/0.95 P_empty_set-{F}(V0), pppp9-{F}(V1) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #412: mergings( V0 == V2, V2 == V3; #409 ), references = 1, size of lhs = 1:
% 0.76/0.95 P_empty_set-{F}(V0) | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 #414: exists( #67, #409 ), references = 1, size of lhs = 0:
% 0.76/0.95 FALSE | FALSE
% 0.76/0.95 (used 0 times, uses = {})
% 0.76/0.95
% 0.76/0.95 number of learnt formulas = 36
% 0.76/0.95
% 0.76/0.95
% 0.76/0.95 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.76/0.95
% 0.76/0.95 randbase = 1
%------------------------------------------------------------------------------