TSTP Solution File: SEU223+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:17:32 EDT 2022
% Result : Theorem 17.24s 17.44s
% Output : Refutation 17.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 19:03:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 17.24/17.44 GeoParameters:
% 17.24/17.44
% 17.24/17.44 tptp_input = 1
% 17.24/17.44 tptp_output = 0
% 17.24/17.44 nonempty = 1
% 17.24/17.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.24/17.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 17.24/17.44
% 17.24/17.44
% 17.24/17.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.24/17.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.24/17.44
% 17.24/17.44 RuleSystem INPUT:
% 17.24/17.44
% 17.24/17.44 Initial Rules:
% 17.24/17.44 #0: input, references = 3, size of lhs = 1:
% 17.24/17.44 #-{F} V0 | subset-{T}(V0,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #1: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #2: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #3: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #4: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #5: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #6: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #7: input, references = 4, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #8: input, references = 6, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp1-{T}(V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #9: input, references = 6, size of lhs = 1:
% 17.24/17.44 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #10: input, references = 3, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #11: input, references = 3, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #12: input, references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #13: input, references = 5, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #14: input, references = 5, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #15: input, references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #16: input, references = 3, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #17: input, references = 3, size of lhs = 4:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #18: input, references = 3, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #19: input, references = 4, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #20: input, references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #21: input, references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #22: input, references = 4, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #23: input, references = 6, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #24: input, references = 9, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #25: input, references = 8, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #26: input, references = 4, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #27: input, references = 4, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #28: input, references = 4, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #29: input, references = 7, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #30: input, references = 3, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #31: input, references = 7, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #32: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #33: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp2-{F}(V0) | function-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #34: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp2-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #35: input, references = 4, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #36: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp3-{F}(V0) | function-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #37: input, references = 5, size of lhs = 1:
% 17.24/17.44 pppp3-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #38: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp3-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #39: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #40: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp4-{F}(V0) | one_to_one-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #41: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp4-{F}(V0) | function-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #42: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp4-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #43: input, references = 4, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #44: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #45: input, references = 3, size of lhs = 2:
% 17.24/17.44 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #46: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #47: input, references = 4, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #48: input, references = 4, size of lhs = 1:
% 17.24/17.44 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #49: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #50: input, references = 3, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #51: input, references = 4, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #52: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp7-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #53: input, references = 5, size of lhs = 1:
% 17.24/17.44 pppp7-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #54: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #55: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp8-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #56: input, references = 3, size of lhs = 2:
% 17.24/17.44 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #57: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #58: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp9-{F}(V0) | relation_empty_yielding-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #59: input, references = 3, size of lhs = 1:
% 17.24/17.44 pppp9-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #60: input, references = 4, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #61: input, references = 5, size of lhs = 1:
% 17.24/17.44 pppp10-{F}(V0) | empty-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #62: input, references = 3, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #63: input, references = 3, size of lhs = 2:
% 17.24/17.44 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #64: input, references = 5, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #65: input, references = 4, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #66: input, references = 4, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #67: input, references = 4, size of lhs = 1:
% 17.24/17.44 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #68: input, references = 4, size of lhs = 1:
% 17.24/17.44 pppp14-{F}(V0) | function-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #69: input, references = 4, size of lhs = 1:
% 17.24/17.44 pppp14-{F}(V0) | relation-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #70: input, references = 4, size of lhs = 1:
% 17.24/17.44 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #71: input, references = 4, size of lhs = 5:
% 17.24/17.44 pppp12-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V6), P_apply-{F}(V2,V1,V6) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #72: input, references = 4, size of lhs = 5:
% 17.24/17.44 pppp12-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_apply-{F}(V2,V1,V6) | in-{T}(V1,V4)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #73: input, references = 7, size of lhs = 6:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #74: input, references = 3, size of lhs = 8:
% 17.24/17.44 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
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #75: input, references = 5, size of lhs = 6:
% 17.24/17.44 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
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #76: input, references = 5, size of lhs = 9:
% 17.24/17.44 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
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #77: input, references = 7, size of lhs = 4:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #78: input, references = 7, size of lhs = 1:
% 17.24/17.44 pppp17-{F}(V0,V1,V2) | EXISTS V3: pppp15-{T}(V0,V1,V3,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #79: input, references = 5, size of lhs = 3:
% 17.24/17.44 pppp15-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #80: input, references = 8, size of lhs = 3:
% 17.24/17.44 pppp15-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #81: input, references = 4, size of lhs = 0:
% 17.24/17.44 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #82: input, references = 8, size of lhs = 2:
% 17.24/17.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #83: input, references = 3, size of lhs = 1:
% 17.24/17.44 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #84: input, references = 6, size of lhs = 1:
% 17.24/17.44 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #85: input, references = 8, size of lhs = 2:
% 17.24/17.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #86: input, references = 12, size of lhs = 2:
% 17.24/17.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 number of initial rules = 87
% 17.24/17.44
% 17.24/17.44 Simplifiers:
% 17.24/17.44 #87: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #88: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #89: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #90: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #91: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #92: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #93: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #94: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #95: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #96: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #97: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #98: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #99: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #100: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #101: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #102: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #103: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #104: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #105: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V2), V1 == V4 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #106: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #107: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #108: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #109: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #110: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #111: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp15-{F}(V0,V1,V2,V3), pppp15-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #112: unsound, references = 3, size of lhs = 3:
% 17.24/17.44 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V4,V5), V2 == V5 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 number of simplifiers = 26
% 17.24/17.44
% 17.24/17.44 Learnt:
% 17.24/17.44 #118: mergings( V0 == V2; #115 ), references = 1, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #120: mergings( V0 == V2; #116 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #122: exists( #82, #27 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #129: mergings( V0 == V2; #126 ), references = 1, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #131: mergings( V0 == V2; #127 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #137: mergings( V0 == V2; #134 ), references = 1, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #139: mergings( V0 == V2; #135 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #151: exists( #82, #7 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #153: exists( #84, #75 ), references = 5, size of lhs = 4:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #170: mergings( V2 == V3; #167 ), references = 1, size of lhs = 2:
% 17.24/17.44 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #172: mergings( V2 == V3; #168 ), references = 1, size of lhs = 3:
% 17.24/17.44 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #174: exists( #82, #26 ), references = 2, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #177: mergings( V0 == V6; #175 ), references = 3, size of lhs = 10:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #210: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #203 ), references = 1, size of lhs = 6:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #216: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #204 ), references = 1, size of lhs = 7:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #225: mergings( V0 == V3; #221 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #227: mergings( V0 == V3; #222 ), references = 3, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #230: mergings( V0 == V3, V2 == V3; #223 ), references = 1, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #236: mergings( V3 == V4; #234 ), references = 1, size of lhs = 4:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #247: mergings( V0 == V3; #243 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #250: mergings( V0 == V3, V1 == V3; #244 ), references = 1, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #252: mergings( V1 == V0; #245 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), pppp8-{F}(V0), P_powerset-{F}(V0,V1) | pppp16-{T}(V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #260: mergings( V0 == V3, V3 == V4; #257 ), references = 4, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #281: mergings( V0 == V4; #279 ), references = 1, size of lhs = 2:
% 17.24/17.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp6-{T}(V0,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #286: mergings( V0 == V3; #284 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp1-{T}(V2,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #306: exists( #86, #76 ), references = 2, size of lhs = 7:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #316: exists( #86, #76 ), references = 1, size of lhs = 7:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #333: exists( #86, #79 ), references = 1, size of lhs = 1:
% 17.24/17.44 pppp15-{F}(V0,V0,V1,V2) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #335: exists( #78, #332 ), references = 2, size of lhs = 1:
% 17.24/17.44 pppp17-{F}(V0,V0,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #349: mergings( V4 == V5; #347 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | P_relation_dom_restriction-{T}(V1,V3,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #358: mergings( V2 == V3; #356 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | pppp0-{T}(V3,V1,V1)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #398: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9, V10 == V11; #391 ), references = 2, size of lhs = 8:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), in-{F}(V5,V4), pppp12-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #419: exists( #86, #413 ), references = 1, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp15-{F}(V3,V4,V2,V1), P_apply-{F}(V4,V2,V5) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #420: exists( #86, #414 ), references = 1, size of lhs = 4:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp15-{F}(V2,V3,V4,V1), P_apply-{F}(V3,V4,V5) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #422: mergings( V6 == V3; #418 ), references = 1, size of lhs = 6:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp15-{F}(V3,V4,V5,V0), P_apply-{F}(V4,V5,V6) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #426: exists( #86, #417 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp15-{F}(V2,V3,V4,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #428: mergings( V6 == V3; #425 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp15-{F}(V3,V4,V5,V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #429: exists( #86, #416 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp15-{F}(V3,V4,V2,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #432: exists( #78, #424 ), references = 1, size of lhs = 3:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V3,V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #434: mergings( V2 == V4; #431 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp17-{F}(V3,V4,V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #438: mergings( V0 == V6; #435 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V1) | pppp0-{T}(V5,V2,V3)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #467: mergings( V0 == V6, V2 == V7, V4 == V8, V7 == V9; #462 ), references = 1, size of lhs = 8:
% 17.24/17.44 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)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #543: mergings( V3 == V4; #540 ), references = 1, size of lhs = 6:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp15-{F}(V5,V6,V4,V2), P_apply-{F}(V6,V4,V7) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #545: mergings( V3 == V4; #541 ), references = 1, size of lhs = 6:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp15-{F}(V3,V4,V5,V2), V5 == V0, P_apply-{F}(V4,V5,V6) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #549: mergings( V3 == V4; #546 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp15-{F}(V5,V6,V4,V2) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #551: mergings( V3 == V4; #547 ), references = 1, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp15-{F}(V3,V4,V5,V2), V5 == V0 | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #555: mergings( V4 == V5; #553 ), references = 2, size of lhs = 5:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp17-{F}(V3,V4,V2), pppp17-{F}(V5,V6,V7) | pppp15-{T}(V3,V4,V0,V2)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #576: mergings( V0 == V3, V3 == V4, V4 == V5; #572 ), references = 1, size of lhs = 6:
% 17.24/17.44 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp1-{T}(V4,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #645: mergings( V3 == V7; #643 ), references = 1, size of lhs = 12:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_set_intersection2-{F}(V3,V4,V1), P_empty_set-{F}(V5), empty-{F}(V6), P_powerset-{F}(V6,V1), P_apply-{F}(V0,V5,V7), P_apply-{F}(V2,V5,V7) | P_relation_dom_restriction-{T}(V2,V4,V0)
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #713: mergings( V3 == V10, V8 == V11, V6 == V9; #708 ), references = 2, size of lhs = 9:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp12-{F}(V3,V5,V0), P_relation_dom_restriction-{F}(V0,V3,V6), P_relation_dom-{F}(V6,V4), P_apply-{F}(V0,V5,V7) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #727: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #721 ), references = 1, size of lhs = 7:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp12-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #733: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #728 ), references = 1, size of lhs = 6:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp12-{F}(V3,V4,V0), P_apply-{F}(V0,V4,V5) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #739: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #734 ), references = 1, size of lhs = 6:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_apply-{F}(V0,V1,V4) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #745: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #740 ), references = 1, size of lhs = 5:
% 17.24/17.44 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #751: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #746 ), references = 1, size of lhs = 5:
% 17.24/17.44 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #757: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #752 ), references = 2, size of lhs = 4:
% 17.24/17.44 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #762: mergings( V0 == V2; #760 ), references = 1, size of lhs = 1:
% 17.24/17.44 P_empty_set-{F}(V0) | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 #764: exists( #81, #760 ), references = 1, size of lhs = 0:
% 17.24/17.44 FALSE | FALSE
% 17.24/17.44 (used 0 times, uses = {})
% 17.24/17.44
% 17.24/17.44 number of learnt formulas = 58
% 17.24/17.44
% 17.24/17.44
% 17.24/17.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.24/17.44
% 17.24/17.44 randbase = 1
%------------------------------------------------------------------------------