TSTP Solution File: SEU037+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 52.53s 52.70s
% Output : Refutation 52.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 18:30:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 52.53/52.70 GeoParameters:
% 52.53/52.70
% 52.53/52.70 tptp_input = 1
% 52.53/52.70 tptp_output = 0
% 52.53/52.70 nonempty = 1
% 52.53/52.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.53/52.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 52.53/52.70
% 52.53/52.70
% 52.53/52.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.53/52.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.53/52.70
% 52.53/52.70 RuleSystem INPUT:
% 52.53/52.70
% 52.53/52.70 Initial Rules:
% 52.53/52.70 #0: input, references = 5, size of lhs = 2:
% 52.53/52.70 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1: input, references = 3, size of lhs = 1:
% 52.53/52.70 empty-{F}(V0) | function-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #2: input, references = 3, size of lhs = 1:
% 52.53/52.70 empty-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #3: input, references = 3, size of lhs = 3:
% 52.53/52.70 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #4: input, references = 4, size of lhs = 3:
% 52.53/52.70 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #5: input, references = 6, size of lhs = 2:
% 52.53/52.70 relation-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #6: input, references = 4, size of lhs = 1:
% 52.53/52.70 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #7: input, references = 4, size of lhs = 1:
% 52.53/52.70 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #8: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #9: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #10: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #11: input, references = 3, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #12: input, references = 3, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation_empty_yielding-{T}(V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #13: input, references = 3, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #14: input, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #15: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #16: input, references = 3, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #17: input, references = 6, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #18: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #19: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #20: input, references = 5, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #21: input, references = 4, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #22: input, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #23: input, references = 4, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #24: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #25: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp2-{F}(V0) | function-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #26: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp2-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #27: input, references = 4, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #28: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp3-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #29: input, references = 5, size of lhs = 1:
% 52.53/52.70 pppp3-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #30: input, references = 4, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #31: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp16-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #32: input, references = 3, size of lhs = 2:
% 52.53/52.70 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #33: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #34: input, references = 4, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #35: input, references = 5, size of lhs = 1:
% 52.53/52.70 pppp5-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #36: input, references = 4, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #37: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp6-{F}(V0) | function-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #38: input, references = 5, size of lhs = 1:
% 52.53/52.70 pppp6-{F}(V0) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #39: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp6-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #40: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #41: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp7-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #42: input, references = 3, size of lhs = 2:
% 52.53/52.70 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #43: input, references = 4, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #44: input, references = 5, size of lhs = 1:
% 52.53/52.70 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #45: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #46: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #47: input, references = 3, size of lhs = 2:
% 52.53/52.70 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #48: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #49: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #50: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp10-{F}(V0) | function-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #51: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp10-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #52: input, references = 3, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #53: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #54: input, references = 3, size of lhs = 1:
% 52.53/52.70 pppp11-{F}(V0) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #55: input, references = 3, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #56: input, references = 5, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #57: input, references = 4, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #58: input, references = 4, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #59: input, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #60: input, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #61: input, references = 8, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #62: input, references = 5, size of lhs = 5:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #63: input, references = 6, size of lhs = 6:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V4), function-{F}(V4), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4) | pppp0-{T}(V3,V4,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #64: input, references = 4, size of lhs = 8:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4), pppp0-{F}(V3,V1,V2), V1 == V4 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #65: input, references = 5, size of lhs = 6:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), V4 == V6 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #66: input, references = 8, size of lhs = 9:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), P_apply-{F}(V2,V7,V8), P_apply-{F}(V3,V7,V9), in-{F}(V7,V4), V8 == V9 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #67: input, references = 6, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V6), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6) | pppp0-{T}(V1,V2,V3), pppp17-{T}(V2,V3,V6)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #68: input, references = 5, size of lhs = 1:
% 52.53/52.70 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp12-{T}(V0,V1,V3,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #69: input, references = 4, size of lhs = 3:
% 52.53/52.70 pppp12-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #70: input, references = 11, size of lhs = 3:
% 52.53/52.70 pppp12-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #71: input, references = 9, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #72: input, references = 4, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #73: input, references = 4, size of lhs = 2:
% 52.53/52.70 pppp15-{F}(V0), P_relation_dom-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #74: input, references = 4, size of lhs = 2:
% 52.53/52.70 pppp15-{F}(V0), P_relation_dom-{F}(V0,V1) | function-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #75: input, references = 4, size of lhs = 2:
% 52.53/52.70 pppp15-{F}(V0), P_relation_dom-{F}(V0,V1) | relation-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #76: input, references = 4, size of lhs = 1:
% 52.53/52.70 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V3,V2,V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #77: input, references = 4, size of lhs = 5:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), P_set_intersection2-{F}(V3,V0,V4), P_relation_dom_restriction-{F}(V2,V0,V5), P_apply-{F}(V5,V1,V7), P_apply-{F}(V2,V1,V7) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #78: input, references = 4, size of lhs = 5:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), P_set_intersection2-{F}(V3,V0,V4), P_relation_dom_restriction-{F}(V2,V0,V5), P_apply-{F}(V5,V1,V6), P_apply-{F}(V2,V1,V7) | in-{T}(V1,V4)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #79: input, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #80: input, references = 8, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #81: input, references = 8, size of lhs = 2:
% 52.53/52.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #82: input, references = 6, size of lhs = 2:
% 52.53/52.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #83: input, references = 4, size of lhs = 0:
% 52.53/52.70 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #84: input, references = 3, size of lhs = 1:
% 52.53/52.70 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #85: input, references = 7, size of lhs = 1:
% 52.53/52.70 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #86: input, references = 21, size of lhs = 2:
% 52.53/52.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 number of initial rules = 87
% 52.53/52.70
% 52.53/52.70 Simplifiers:
% 52.53/52.70 #87: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #88: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #89: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #90: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #91: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #92: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #93: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #94: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #95: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #96: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #97: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #98: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #99: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #100: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #101: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #102: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #103: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #104: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #105: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #106: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #107: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #108: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #109: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V2,V7), V3 == V7 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #110: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #111: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #112: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V5), V1 == V4 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #113: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #114: unsound, references = 3, size of lhs = 3:
% 52.53/52.70 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V5), V2 == V5 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 number of simplifiers = 28
% 52.53/52.70
% 52.53/52.70 Learnt:
% 52.53/52.70 #116: exists( #81, #23 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #136: mergings( V0 == V2; #133 ), references = 1, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #138: mergings( V0 == V2; #134 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #152: exists( #81, #57 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #159: mergings( V0 == V2; #156 ), references = 1, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #161: mergings( V0 == V2; #157 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #181: exists( #81, #4 ), references = 2, size of lhs = 1:
% 52.53/52.70 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #183: exists( #85, #65 ), references = 4, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp0-{F}(V3,V5,V1) | P_relation_dom-{T}(V5,V4)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #215: mergings( V0 == V3; #211 ), references = 3, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #218: mergings( V0 == V3, V2 == V3; #212 ), references = 1, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #221: mergings( V0 == V3, V2 == V3; #213 ), references = 1, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #237: mergings( V2 == V3; #235 ), references = 1, size of lhs = 2:
% 52.53/52.70 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #287: exists( #81, #285 ), references = 1, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5) | P_set_intersection2-{T}(V3,V5,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #327: mergings( V0 == V3; #323 ), references = 1, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #330: mergings( V0 == V3, V1 == V3; #324 ), references = 1, size of lhs = 4:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #333: mergings( V0 == V3, V1 == V3; #325 ), references = 1, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #382: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #376 ), references = 1, size of lhs = 6:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_set_intersection2-{F}(V3,V4,V1) | P_relation_dom_restriction-{T}(V0,V4,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #387: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #377 ), references = 1, size of lhs = 7:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V4), P_set_intersection2-{F}(V4,V5,V1) | P_relation_dom_restriction-{T}(V0,V5,V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #422: exists( #86, #66 ), references = 2, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V1,V5), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V4,V7), P_apply-{F}(V5,V3,V8) | P_apply-{T}(V1,V3,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #443: mergings( V0 == V4; #440 ), references = 1, size of lhs = 2:
% 52.53/52.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #445: mergings( V0 == V4; #441 ), references = 1, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #471: mergings( V0 == V6; #469 ), references = 1, size of lhs = 10:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp17-{T}(V1,V3,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #478: exists( #86, #66 ), references = 2, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp0-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8) | P_apply-{T}(V6,V3,V4)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #572: exists( #86, #69 ), references = 1, size of lhs = 1:
% 52.53/52.70 pppp12-{F}(V0,V0,V1,V2) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #574: exists( #68, #571 ), references = 1, size of lhs = 1:
% 52.53/52.70 pppp17-{F}(V0,V0,V1) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #577: mergings( V2 == V3; #575 ), references = 1, size of lhs = 3:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | pppp0-{T}(V3,V1,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #583: exists( #82, #64 ), references = 1, size of lhs = 6:
% 52.53/52.70 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp0-{F}(V3,V1,V2) | P_relation_dom_restriction-{T}(V2,V3,V1)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #632: mergings( V0 == V6, V2 == V7, V4 == V8, V7 == V9; #627 ), references = 1, size of lhs = 8:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V7,V2), P_apply-{F}(V5,V3,V8), V4 == V8 | pppp17-{T}(V1,V5,V2)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #677: exists( #86, #673 ), references = 2, size of lhs = 3:
% 52.53/52.70 in-{F}(V0,V1), pppp12-{F}(V2,V3,V1,V0), P_apply-{F}(V3,V1,V4) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #728: exists( #86, #724 ), references = 1, size of lhs = 2:
% 52.53/52.70 pppp12-{F}(V0,V1,V2,V2), P_apply-{F}(V1,V2,V3) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #729: exists( #86, #725 ), references = 1, size of lhs = 4:
% 52.53/52.70 P_apply-{F}(V0,V1,V2), pppp12-{F}(V3,V0,V1,V4), pppp12-{F}(V5,V6,V4,V1), P_apply-{F}(V6,V4,V7) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #737: exists( #86, #735 ), references = 3, size of lhs = 10:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V1,V7,V8), P_apply-{F}(V4,V7,V9), V8 == V9, pppp12-{F}(V10,V11,V7,V2), P_apply-{F}(V11,V7,V12) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #739: exists( #86, #736 ), references = 2, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp12-{F}(V9,V1,V7,V2) | P_apply-{T}(V1,V7,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #745: exists( #86, #737 ), references = 2, size of lhs = 9:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V1,V7,V8), P_apply-{F}(V4,V7,V9), V8 == V9, pppp12-{F}(V10,V11,V7,V2) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #747: exists( #86, #744 ), references = 3, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp12-{F}(V9,V10,V7,V2) | P_apply-{T}(V1,V7,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #769: mergings( V3 == V4, V4 == V5, V5 == V6; #764 ), references = 1, size of lhs = 9:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V4,V5), in-{F}(V5,V6), pppp12-{F}(V7,V8,V6,V4), P_apply-{F}(V8,V6,V9) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #774: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #765 ), references = 2, size of lhs = 15:
% 52.53/52.70 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V4,V3,V5), pppp12-{F}(V6,V4,V3,V7), P_powerset-{F}(V8,V7), P_powerset-{F}(V9,V8), V9 == V0, P_relation_dom-{F}(V10,V9), P_apply-{F}(V10,V1,V11), pppp0-{F}(V12,V10,V13), P_relation_dom-{F}(V13,V14), P_set_intersection2-{F}(V14,V12,V15), P_apply-{F}(V13,V1,V16), V11 == V16 | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #783: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #777 ), references = 1, size of lhs = 13:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V4,V5), in-{F}(V5,V6), P_relation_dom-{F}(V7,V8), pppp12-{F}(V9,V7,V6,V8), pppp12-{F}(V10,V7,V6,V4), pppp0-{F}(V11,V7,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #861: mergings( V3 == V4, V8 == V25; #858 ), references = 1, size of lhs = 18:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_relation_dom-{F}(V7,V8), V8 == V0, P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), pppp0-{F}(V11,V7,V4), P_set_intersection2-{F}(V5,V11,V12), P_apply-{F}(V7,V13,V14), pppp12-{F}(V15,V16,V13,V2), P_apply-{F}(V17,V13,V18), pppp12-{F}(V17,V1,V13,V19), in-{F}(V19,V20), P_apply-{F}(V21,V20,V22), pppp12-{F}(V23,V21,V20,V10) | P_apply-{T}(V4,V13,V14)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #874: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V16 == V18, V18 == V19, V11 == V35; #866 ), references = 2, size of lhs = 27:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V4,V5), P_relation_dom-{F}(V6,V7), pppp0-{F}(V8,V6,V9), P_relation_dom-{F}(V9,V10), P_set_intersection2-{F}(V10,V8,V11), P_relation_dom-{F}(V12,V13), V13 == V0, P_powerset-{F}(V13,V14), P_powerset-{F}(V14,V15), pppp0-{F}(V16,V12,V9), P_set_intersection2-{F}(V10,V16,V17), P_relation_dom-{F}(V18,V19), pppp0-{F}(V20,V18,V9), P_set_intersection2-{F}(V10,V20,V21), in-{F}(V22,V23), P_apply-{F}(V12,V23,V24), pppp12-{F}(V25,V18,V23,V19), pppp12-{F}(V26,V18,V23,V4), pppp12-{F}(V26,V6,V23,V4), pppp12-{F}(V27,V28,V23,V7), P_apply-{F}(V29,V5,V30), pppp12-{F}(V31,V29,V5,V15) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #889: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V15 == V16, V23 == V25, V32 == V34, V34 == V35, V13 == V44; #877 ), references = 1, size of lhs = 33:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V4,V5), P_relation_dom-{F}(V6,V7), in-{F}(V8,V7), in-{F}(V9,V8), pppp0-{F}(V10,V6,V11), P_relation_dom-{F}(V11,V12), P_set_intersection2-{F}(V12,V10,V13), pppp0-{F}(V14,V6,V15), P_relation_dom-{F}(V15,V16), V16 == V0, P_set_intersection2-{F}(V16,V14,V17), P_powerset-{F}(V16,V18), P_powerset-{F}(V18,V19), P_relation_dom-{F}(V20,V21), pppp12-{F}(V22,V20,V8,V4), pppp12-{F}(V22,V23,V8,V4), P_relation_dom-{F}(V23,V24), pppp12-{F}(V25,V23,V8,V24), pppp0-{F}(V26,V20,V27), P_relation_dom-{F}(V27,V28), P_set_intersection2-{F}(V28,V26,V29), pppp0-{F}(V30,V15,V27), P_set_intersection2-{F}(V28,V30,V31), pppp0-{F}(V32,V23,V27), P_set_intersection2-{F}(V28,V32,V33), pppp12-{F}(V34,V35,V8,V21), P_apply-{F}(V36,V5,V37), pppp12-{F}(V38,V36,V5,V19) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #909: mergings( V3 == V4, V11 == V12; #906 ), references = 1, size of lhs = 30:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V4,V5), P_relation_dom-{F}(V6,V7), V7 == V0, P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp0-{F}(V10,V6,V11), P_relation_dom-{F}(V11,V12), P_set_intersection2-{F}(V12,V10,V13), P_relation_dom-{F}(V14,V15), pppp0-{F}(V16,V14,V17), P_relation_dom-{F}(V17,V18), P_set_intersection2-{F}(V18,V16,V19), pppp0-{F}(V20,V6,V17), P_set_intersection2-{F}(V18,V20,V21), P_relation_dom-{F}(V22,V23), pppp0-{F}(V24,V22,V17), P_set_intersection2-{F}(V18,V24,V25), in-{F}(V26,V27), pppp12-{F}(V28,V22,V27,V23), pppp12-{F}(V29,V22,V27,V4), pppp12-{F}(V29,V14,V27,V4), pppp12-{F}(V30,V31,V27,V7), pppp12-{F}(V32,V33,V27,V15), P_apply-{F}(V34,V5,V35), pppp12-{F}(V36,V34,V5,V9) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #916: mergings( V2 == V3, V3 == V4, V11 == V12; #912 ), references = 1, size of lhs = 30:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V4,V5), P_relation_dom-{F}(V6,V7), V7 == V0, P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp0-{F}(V10,V6,V11), P_relation_dom-{F}(V11,V12), P_set_intersection2-{F}(V12,V10,V13), P_relation_dom-{F}(V14,V15), pppp12-{F}(V16,V14,V17,V4), V17 == V0, pppp12-{F}(V16,V18,V17,V4), P_relation_dom-{F}(V18,V19), pppp12-{F}(V20,V18,V17,V19), pppp0-{F}(V21,V14,V22), P_relation_dom-{F}(V22,V23), P_set_intersection2-{F}(V23,V21,V24), pppp0-{F}(V25,V6,V22), P_set_intersection2-{F}(V23,V25,V26), pppp0-{F}(V27,V18,V22), P_set_intersection2-{F}(V23,V27,V28), pppp12-{F}(V29,V30,V17,V7), pppp12-{F}(V31,V32,V17,V15), P_apply-{F}(V33,V5,V34), pppp12-{F}(V35,V33,V5,V9) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #921: mergings( V4 == V5, V5 == V6, V2 == V12; #917 ), references = 1, size of lhs = 24:
% 52.53/52.70 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, in-{F}(V4,V5), P_relation_dom-{F}(V6,V4), P_powerset-{F}(V4,V7), P_powerset-{F}(V7,V8), P_relation_dom-{F}(V9,V4), pppp17-{F}(V10,V9,V4), pppp0-{F}(V11,V6,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), pppp0-{F}(V15,V9,V16), P_relation_dom-{F}(V16,V17), P_set_intersection2-{F}(V17,V15,V18), pppp0-{F}(V19,V6,V16), P_set_intersection2-{F}(V17,V19,V20), pppp0-{F}(V21,V9,V16), P_set_intersection2-{F}(V17,V21,V22), P_apply-{F}(V23,V5,V24), pppp12-{F}(V25,V23,V5,V8) | pppp12-{T}(V10,V9,V0,V4)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #984: exists( #86, #745 ), references = 1, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V1,V7,V8), pppp12-{F}(V9,V10,V7,V2) | P_apply-{T}(V4,V7,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #985: exists( #86, #737 ), references = 1, size of lhs = 7:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V1,V7,V8), pppp12-{F}(V9,V4,V7,V2) | P_apply-{T}(V4,V7,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1044: exists( #86, #1042 ), references = 1, size of lhs = 10:
% 52.53/52.70 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), P_apply-{F}(V9,V7,V10), P_relation_dom_restriction-{F}(V9,V11,V1), pppp13-{F}(V11,V7,V9,V12), P_set_intersection2-{F}(V12,V11,V2) | P_apply-{T}(V1,V7,V8)
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1059: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8, V9 == V10, V12 == V15, V16 == V13, V10 == V14; #1050 ), references = 1, size of lhs = 8:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V5,V3,V4), pppp13-{F}(V3,V6,V0,V5), P_apply-{F}(V0,V6,V7) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1065: mergings( V3 == V4, V4 == V6, V6 == V7, V9 == V10; #1060 ), references = 1, size of lhs = 6:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp13-{F}(V3,V4,V0,V2), P_apply-{F}(V0,V4,V5) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1071: mergings( V4 == V5, V5 == V6, V6 == V7, V8 == V9; #1066 ), references = 1, size of lhs = 6:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp14-{F}(V0,V2,V3), P_apply-{F}(V0,V3,V4) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1076: mergings( V3 == V4, V4 == V5, V5 == V6; #1072 ), references = 1, size of lhs = 5:
% 52.53/52.70 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp14-{F}(V0,V2,V3) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1081: mergings( V3 == V4, V4 == V5, V5 == V6; #1077 ), references = 2, size of lhs = 5:
% 52.53/52.70 pppp15-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1087: exists( #85, #1081 ), references = 2, size of lhs = 4:
% 52.53/52.70 pppp15-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1106: exists( #85, #1102 ), references = 1, size of lhs = 2:
% 52.53/52.70 pppp15-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1110: mergings( V0 == V2; #1107 ), references = 1, size of lhs = 1:
% 52.53/52.70 P_empty_set-{F}(V0) | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 #1113: exists( #83, #1107 ), references = 1, size of lhs = 0:
% 52.53/52.70 FALSE | FALSE
% 52.53/52.70 (used 0 times, uses = {})
% 52.53/52.70
% 52.53/52.70 number of learnt formulas = 58
% 52.53/52.70
% 52.53/52.70
% 52.53/52.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 52.53/52.70
% 52.53/52.70 randbase = 1
%------------------------------------------------------------------------------