TSTP Solution File: SEU003+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU003+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:04 EDT 2022
% Result : Theorem 19.86s 20.02s
% Output : Refutation 19.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU003+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 18:25:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.86/20.02 GeoParameters:
% 19.86/20.02
% 19.86/20.02 tptp_input = 1
% 19.86/20.02 tptp_output = 0
% 19.86/20.02 nonempty = 1
% 19.86/20.02 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.86/20.02 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.86/20.02
% 19.86/20.02
% 19.86/20.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.86/20.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.86/20.02
% 19.86/20.02 RuleSystem INPUT:
% 19.86/20.02
% 19.86/20.02 Initial Rules:
% 19.86/20.02 #0: input, references = 13, size of lhs = 2:
% 19.86/20.02 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1: input, references = 3, size of lhs = 1:
% 19.86/20.02 empty-{F}(V0) | function-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #2: input, references = 3, size of lhs = 1:
% 19.86/20.02 empty-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #3: input, references = 6, size of lhs = 1:
% 19.86/20.02 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #4: input, references = 5, size of lhs = 1:
% 19.86/20.02 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #5: input, references = 15, size of lhs = 2:
% 19.86/20.02 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #6: input, references = 12, size of lhs = 2:
% 19.86/20.02 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp18-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #7: input, references = 6, size of lhs = 1:
% 19.86/20.02 pppp18-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #8: input, references = 8, size of lhs = 2:
% 19.86/20.02 pppp4-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #9: input, references = 6, size of lhs = 1:
% 19.86/20.02 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #10: input, references = 4, size of lhs = 3:
% 19.86/20.02 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | pppp2-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #11: input, references = 3, size of lhs = 5:
% 19.86/20.02 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), pppp2-{F}(V0,V2), V2 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #12: input, references = 9, size of lhs = 2:
% 19.86/20.02 pppp2-{F}(V0,V1), in-{F}(V2,V1) | pppp1-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #13: input, references = 13, size of lhs = 2:
% 19.86/20.02 pppp2-{F}(V0,V1), pppp1-{F}(V0,V2) | in-{T}(V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #14: input, references = 10, size of lhs = 2:
% 19.86/20.02 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp19-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #15: input, references = 6, size of lhs = 1:
% 19.86/20.02 pppp19-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #16: input, references = 4, size of lhs = 3:
% 19.86/20.02 pppp5-{F}(V0,V1,V2), pppp1-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #17: input, references = 6, size of lhs = 1:
% 19.86/20.02 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp1-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #18: input, references = 7, size of lhs = 2:
% 19.86/20.02 P_relation_dom-{F}(V0,V2), pppp1-{F}(V0,V1) | EXISTS V3: pppp6-{T}(V0,V1,V3,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #19: input, references = 4, size of lhs = 3:
% 19.86/20.02 P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V4), in-{F}(V3,V2) | pppp1-{T}(V0,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #20: input, references = 4, size of lhs = 3:
% 19.86/20.02 pppp6-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), V1 == V4 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #21: input, references = 8, size of lhs = 2:
% 19.86/20.02 pppp6-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4) | in-{T}(V2,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #22: input, references = 3, size of lhs = 3:
% 19.86/20.02 relation-{F}(V0), P_relation_composition-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #23: input, references = 5, size of lhs = 1:
% 19.86/20.02 #-{F} V0 | EXISTS V1: pppp7-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #24: input, references = 7, size of lhs = 1:
% 19.86/20.02 pppp7-{F}(V0,V1) | element-{T}(V1,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #25: input, references = 5, size of lhs = 3:
% 19.86/20.02 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #26: input, references = 3, size of lhs = 3:
% 19.86/20.02 relation-{F}(V0), P_relation_composition-{F}(V0,V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #27: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #28: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #29: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #30: input, references = 3, size of lhs = 6:
% 19.86/20.02 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)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #31: input, references = 3, size of lhs = 6:
% 19.86/20.02 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)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #32: input, references = 3, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #33: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #34: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #35: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #36: input, references = 3, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #37: input, references = 3, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #38: input, references = 5, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #39: input, references = 3, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #40: input, references = 5, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #41: input, references = 3, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #42: input, references = 4, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | empty-{T}(V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #43: input, references = 3, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_composition-{F}(V2,V1,V3), empty-{F}(V2) | relation-{T}(V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #44: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #45: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp8-{F}(V0) | function-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #46: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp8-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #47: input, references = 4, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #48: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp9-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #49: input, references = 5, size of lhs = 1:
% 19.86/20.02 pppp9-{F}(V0) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #50: input, references = 4, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp20-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #51: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp20-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #52: input, references = 3, size of lhs = 2:
% 19.86/20.02 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #53: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #54: input, references = 4, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #55: input, references = 5, size of lhs = 1:
% 19.86/20.02 pppp11-{F}(V0) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #56: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #57: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp12-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #58: input, references = 4, size of lhs = 2:
% 19.86/20.02 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #59: input, references = 4, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #60: input, references = 4, size of lhs = 1:
% 19.86/20.02 pppp13-{F}(V0,V1) | empty-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #61: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #62: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #63: input, references = 3, size of lhs = 2:
% 19.86/20.02 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #64: input, references = 3, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #65: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #66: input, references = 3, size of lhs = 1:
% 19.86/20.02 pppp15-{F}(V0) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #67: input, references = 5, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #68: input, references = 9, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #69: input, references = 10, size of lhs = 8:
% 19.86/20.02 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), relation-{F}(V2), function-{F}(V2), in-{F}(V5,V4) | pppp3-{T}(V5,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #70: input, references = 6, size of lhs = 8:
% 19.86/20.02 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_composition-{F}(V2,V1,V3), P_relation_dom-{F}(V3,V4), relation-{F}(V2), function-{F}(V2), pppp3-{F}(V5,V1,V2) | in-{T}(V5,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #71: input, references = 4, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_relation_dom-{F}(V2,V6), pppp3-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #72: input, references = 10, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_relation_dom-{F}(V2,V6), pppp3-{F}(V1,V2,V3) | in-{T}(V5,V6)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #73: input, references = 6, size of lhs = 6:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_relation_dom-{F}(V2,V6), in-{F}(V1,V4), in-{F}(V5,V6) | pppp3-{T}(V1,V2,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #74: input, references = 4, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #75: input, references = 4, size of lhs = 2:
% 19.86/20.02 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1) | EXISTS V2: pppp16-{T}(V0,V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #76: input, references = 4, size of lhs = 2:
% 19.86/20.02 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1) | function-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #77: input, references = 4, size of lhs = 2:
% 19.86/20.02 pppp17-{F}(V0), P_relation_dom-{F}(V0,V1) | relation-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #78: input, references = 4, size of lhs = 6:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V1,V6), subset-{F}(V6,V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #79: input, references = 4, size of lhs = 6:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V1,V6), V4 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #80: input, references = 4, size of lhs = 5:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V1,V6) | function-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #81: input, references = 4, size of lhs = 5:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V5), P_relation_rng-{F}(V1,V6) | relation-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #82: input, references = 5, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #83: input, references = 4, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #84: input, references = 4, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #85: input, references = 3, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #86: input, references = 4, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #87: input, references = 11, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #88: input, references = 8, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #89: input, references = 9, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #90: input, references = 6, size of lhs = 1:
% 19.86/20.02 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #91: input, references = 11, size of lhs = 1:
% 19.86/20.02 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #92: input, references = 7, size of lhs = 2:
% 19.86/20.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #93: input, references = 10, size of lhs = 2:
% 19.86/20.02 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_composition-{T}(V0,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #94: input, references = 4, size of lhs = 0:
% 19.86/20.02 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #95: input, references = 3, size of lhs = 1:
% 19.86/20.02 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 number of initial rules = 96
% 19.86/20.02
% 19.86/20.02 Simplifiers:
% 19.86/20.02 #96: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #97: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #98: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #99: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_relation_composition-{F}(V0,V1,V2), P_relation_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #100: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #101: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #102: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #103: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #104: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #105: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp6-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #106: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #107: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #108: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #109: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #110: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #111: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #112: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #113: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #114: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #115: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V2), V1 == V4 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #116: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), pppp16-{F}(V3,V4,V5), V0 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #117: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp16-{F}(V0,V1,V2), pppp16-{F}(V0,V4,V5), V2 == V5 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #118: unsound, references = 3, size of lhs = 3:
% 19.86/20.02 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 number of simplifiers = 23
% 19.86/20.02
% 19.86/20.02 Learnt:
% 19.86/20.02 #125: mergings( V2 == V3; #122 ), references = 1, size of lhs = 2:
% 19.86/20.02 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #127: mergings( V2 == V3; #123 ), references = 1, size of lhs = 3:
% 19.86/20.02 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #140: mergings( V2 == V3; #137 ), references = 1, size of lhs = 2:
% 19.86/20.02 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #142: mergings( V2 == V3; #138 ), references = 1, size of lhs = 3:
% 19.86/20.02 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #164: mergings( V0 == V2; #161 ), references = 1, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #166: mergings( V0 == V2; #162 ), references = 1, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #180: exists( #93, #176 ), references = 1, size of lhs = 3:
% 19.86/20.02 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V0,V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #181: exists( #93, #177 ), references = 1, size of lhs = 4:
% 19.86/20.02 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3) | P_relation_composition-{T}(V0,V1,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #201: disj( #14, input ), references = 1, size of lhs = 5:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), P_relation_rng-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp19-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #216: disj( #82, input ), references = 1, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #218: mergings( V0 == V3; #215 ), references = 4, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #249: mergings( V2 == V5; #245 ), references = 7, size of lhs = 5:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #252: mergings( V2 == V5, V0 == V5; #246 ), references = 1, size of lhs = 6:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #255: mergings( V0 == V2, V2 == V3; #247 ), references = 1, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V0), pppp12-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V0,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #258: exists( #23, #256 ), references = 1, size of lhs = 3:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp7-{T}(V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #263: mergings( V0 == V3; #259 ), references = 2, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #266: mergings( V0 == V3, V2 == V3; #260 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #269: mergings( V0 == V4, V2 == V4; #261 ), references = 1, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V3,V2), V3 == V0 | in-{T}(V1,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #276: disj( #6, #5+#88 ), references = 1, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp18-{T}(V3,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #293: disj( #14, #13+#88 ), references = 1, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3) | pppp19-{T}(V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #294: disj( #14, #13+#0 ), references = 1, size of lhs = 2:
% 19.86/20.02 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp19-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #299: disj( #6, #5+#0 ), references = 2, size of lhs = 1:
% 19.86/20.02 in-{F}(V0,V1) | pppp18-{T}(V1,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #319: mergings( V3 == V4; #317 ), references = 1, size of lhs = 3:
% 19.86/20.02 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_composition-{T}(V1,V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #334: disj( #14, #13+#0 ), references = 1, size of lhs = 1:
% 19.86/20.02 pppp1-{F}(V0,V1) | pppp19-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #383: mergings( V0 == V3; #379 ), references = 1, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp20-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #386: mergings( V0 == V3, V1 == V3; #380 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp20-{T}(V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #390: mergings( V0 == V4, V2 == V3, V1 == V4; #381 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp20-{T}(V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #439: disj( #14, #12+#13+#88 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V1), in-{F}(V3,V4) | pppp19-{T}(V2,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #442: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 3:
% 19.86/20.02 pppp2-{F}(V0,V1), in-{F}(V1,V2), in-{F}(V2,V3) | pppp19-{T}(V0,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #448: disj( #14, #12+#13+#0 ), references = 1, size of lhs = 2:
% 19.86/20.02 pppp2-{F}(V0,V1), in-{F}(V1,V2) | pppp19-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #478: mergings( V3 == V7; #476 ), references = 1, size of lhs = 6:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp2-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3), P_empty_set-{F}(V5) | P_apply-{T}(V2,V4,V5)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #492: mergings( V0 == V4; #490 ), references = 1, size of lhs = 2:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #567: exists( #92, #20 ), references = 5, size of lhs = 1:
% 19.86/20.02 pppp6-{F}(V0,V1,V2,V3) | P_apply-{T}(V0,V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #574: exists( #18, #570 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), pppp1-{F}(V2,V3) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #581: disj( #14, #12+#572 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), in-{F}(V3,V4) | pppp19-{T}(V2,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #599: disj( #6, #5+#0 ), references = 1, size of lhs = 2:
% 19.86/20.02 in-{F}(V0,V1), in-{F}(V1,V2) | pppp18-{T}(V2,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #637: disj( #17, exists( #18, #570 ) ), references = 3, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), pppp5-{F}(V2,V3,V4) | in-{T}(V4,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #698: mergings( V3 == V5, V5 == V7; #695 ), references = 1, size of lhs = 6:
% 19.86/20.02 empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp19-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4) | pppp5-{T}(V1,V2,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #743: mergings( V3 == V5; #741 ), references = 2, size of lhs = 4:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp18-{F}(V1,V2), P_empty_set-{F}(V3) | pppp4-{T}(V1,V2,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #764: disj( #6, #743+#8 ), references = 1, size of lhs = 4:
% 19.86/20.02 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V3) | pppp0-{T}(V1,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #840: exists( #7, #838 ), references = 4, size of lhs = 2:
% 19.86/20.02 pppp18-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #864: disj( #6, #5+#8 ), references = 2, size of lhs = 2:
% 19.86/20.02 in-{F}(V0,V1), pppp4-{F}(V2,V3,V0) | pppp18-{T}(V1,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #900: disj( #14, #12+#13+#8 ), references = 1, size of lhs = 3:
% 19.86/20.02 pppp2-{F}(V0,V1), pppp4-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp19-{T}(V0,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #941: mergings( V3 == V5, V5 == V8; #938 ), references = 1, size of lhs = 7:
% 19.86/20.02 empty-{F}(V0), P_relation_dom-{F}(V1,V0), pppp19-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V4), pppp0-{F}(V2,V4), P_empty_set-{F}(V5) | pppp5-{T}(V1,V2,V5)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #970: mergings( V2 == V3; #968 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp18-{F}(V1,V3), P_powerset-{F}(V3,V4) | pppp18-{T}(V2,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1063: disj( #17, input ), references = 2, size of lhs = 3:
% 19.86/20.02 P_empty_set-{F}(V0), empty-{F}(V1), pppp5-{F}(V2,V1,V3) | pppp1-{T}(V2,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1066: disj( #17, input ), references = 2, size of lhs = 2:
% 19.86/20.02 in-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | pppp1-{T}(V2,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1075: mergings( V3 == V4, V4 == V7; #1072 ), references = 1, size of lhs = 6:
% 19.86/20.02 empty-{F}(V0), pppp19-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp2-{F}(V1,V3), P_empty_set-{F}(V4) | pppp5-{T}(V1,V0,V4)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1172: disj( #17, input ), references = 1, size of lhs = 1:
% 19.86/20.02 pppp5-{F}(V0,V1,V1) | pppp1-{T}(V0,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1173: disj( #17, input ), references = 1, size of lhs = 2:
% 19.86/20.02 pppp5-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2) | pppp1-{T}(V0,V2)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1198: exists( #92, #1196 ), references = 1, size of lhs = 5:
% 19.86/20.02 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V4), in-{F}(V4,V5), pppp3-{F}(V5,V1,V3) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1240: disj( #6, #5+#864+#840 ), references = 1, size of lhs = 3:
% 19.86/20.02 pppp0-{F}(V0,V1), pppp4-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp18-{T}(V4,V0)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1317: mergings( V1 == V10, V4 == V8; #1314 ), references = 1, size of lhs = 13:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V0,V6), P_relation_dom-{F}(V1,V7), pppp0-{F}(V7,V4), pppp5-{F}(V8,V6,V2), pppp1-{F}(V8,V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1346: mergings( V1 == V10, V4 == V8; #1342 ), references = 2, size of lhs = 12:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V0,V6), pppp0-{F}(V6,V2), P_relation_dom-{F}(V1,V7), pppp0-{F}(V7,V4) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1349: mergings( V1 == V10, V4 == V8; #1343 ), references = 2, size of lhs = 12:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V0,V6), pppp0-{F}(V6,V2), P_relation_dom-{F}(V1,V7), pppp0-{F}(V7,V4) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1391: exists( #91, #79 ), references = 7, size of lhs = 4:
% 19.86/20.02 P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp16-{F}(V3,V0,V4), P_relation_composition-{F}(V0,V3,V5) | P_relation_dom-{T}(V5,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1397: mergings( V6 == V7; #1394 ), references = 1, size of lhs = 12:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), pppp0-{F}(V4,V2), P_relation_dom-{F}(V1,V5), pppp0-{F}(V5,V5), P_relation_rng-{F}(V1,V6), pppp16-{F}(V0,V1,V7) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1399: mergings( V6 == V7; #1395 ), references = 1, size of lhs = 12:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), pppp0-{F}(V4,V2), P_relation_dom-{F}(V1,V5), pppp0-{F}(V5,V5), P_relation_rng-{F}(V1,V6), pppp16-{F}(V0,V1,V7) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1407: mergings( V2 == V5; #1404 ), references = 1, size of lhs = 10:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), pppp0-{F}(V4,V2), P_relation_rng-{F}(V1,V5), pppp16-{F}(V0,V1,V6) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1409: mergings( V2 == V5; #1405 ), references = 1, size of lhs = 10:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V0,V4), pppp0-{F}(V4,V2), P_relation_rng-{F}(V1,V5), pppp16-{F}(V0,V1,V6) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1437: mergings( V4 == V8, V3 == V7, V6 == V5; #1433 ), references = 1, size of lhs = 4:
% 19.86/20.02 P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), subset-{F}(V2,V3), pppp16-{F}(V4,V0,V3) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1441: mergings( V2 == V3, V4 == V6; #1438 ), references = 2, size of lhs = 3:
% 19.86/20.02 P_relation_rng-{F}(V0,V1), subset-{F}(V1,V2), pppp16-{F}(V3,V0,V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1626: mergings( V1 == V9, V4 == V7; #1623 ), references = 1, size of lhs = 11:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_composition-{F}(V1,V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V0,V6), pppp4-{F}(V7,V6,V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1632: mergings( V6 == V9, V3 == V8; #1629 ), references = 2, size of lhs = 11:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp2-{F}(V1,V2), pppp18-{F}(V2,V3), P_relation_dom-{F}(V0,V3), P_relation_composition-{F}(V1,V0,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V1,V5), P_empty_set-{F}(V6) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1646: exists( #93, #1642 ), references = 1, size of lhs = 11:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp2-{F}(V1,V2), pppp18-{F}(V2,V3), P_relation_dom-{F}(V0,V3), P_relation_dom-{F}(V1,V4), P_relation_rng-{F}(V1,V5), pppp16-{F}(V0,V1,V6), P_empty_set-{F}(V7) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1648: exists( #91, #1644 ), references = 2, size of lhs = 10:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp2-{F}(V1,V2), pppp18-{F}(V2,V3), P_relation_dom-{F}(V0,V3), P_relation_rng-{F}(V1,V4), pppp16-{F}(V0,V1,V5), P_empty_set-{F}(V6) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1715: mergings( V14 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V19; #1707 ), references = 1, size of lhs = 22:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), in-{F}(V6,V5), P_apply-{F}(V4,V6,V7), P_apply-{F}(V1,V8,V7), in-{F}(V8,V9), P_relation_dom-{F}(V1,V9), P_relation_rng-{F}(V1,V10), pppp16-{F}(V0,V1,V11), P_relation_composition-{F}(V4,V2,V12), P_relation_dom-{F}(V12,V13), empty-{F}(V13), P_empty_set-{F}(V14) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1723: mergings( V14 == V22, V3 == V4, V4 == V5, V5 == V6, V6 == V19, V18 == V19, V19 == V20; #1708 ), references = 1, size of lhs = 24:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), in-{F}(V6,V5), P_apply-{F}(V4,V6,V7), P_apply-{F}(V1,V8,V7), in-{F}(V8,V9), P_relation_dom-{F}(V1,V9), P_relation_rng-{F}(V1,V10), pppp16-{F}(V0,V1,V11), P_relation_composition-{F}(V4,V2,V12), P_relation_dom-{F}(V12,V13), P_empty_set-{F}(V13), empty-{F}(V13), P_powerset-{F}(V13,V14), element-{F}(V13,V14) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1728: mergings( V16 == V19, V3 == V4, V4 == V5, V5 == V6; #1709 ), references = 1, size of lhs = 22:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V0,V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), P_relation_composition-{F}(V5,V3,V7), P_relation_dom-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V6), P_apply-{F}(V5,V9,V10), P_apply-{F}(V1,V11,V10), in-{F}(V11,V12), P_relation_dom-{F}(V1,V12), P_relation_rng-{F}(V1,V13), pppp16-{F}(V0,V1,V14) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1738: mergings( V10 == V11, V11 == V17, V3 == V5, V5 == V6, V6 == V7, V7 == V16; #1729 ), references = 1, size of lhs = 16:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V0,V2), relation-{F}(V3), function-{F}(V3), P_relation_rng-{F}(V3,V4), pppp16-{F}(V0,V3,V5), P_relation_composition-{F}(V3,V1,V6), P_relation_dom-{F}(V6,V7), empty-{F}(V7), P_empty_set-{F}(V8), P_relation_dom-{F}(V3,V9), in-{F}(V10,V9) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1747: mergings( V10 == V11, V11 == V19, V3 == V5, V5 == V6, V6 == V7, V7 == V16, V15 == V16, V16 == V17; #1730 ), references = 1, size of lhs = 18:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V0,V2), relation-{F}(V3), function-{F}(V3), P_relation_rng-{F}(V3,V4), pppp16-{F}(V0,V3,V5), P_relation_composition-{F}(V3,V1,V6), P_relation_dom-{F}(V6,V7), P_empty_set-{F}(V7), empty-{F}(V7), P_powerset-{F}(V7,V8), element-{F}(V7,V8), P_relation_dom-{F}(V3,V9), in-{F}(V10,V9) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1753: mergings( V10 == V13, V13 == V16, V3 == V5, V5 == V6, V6 == V7; #1731 ), references = 1, size of lhs = 16:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), relation-{F}(V4), function-{F}(V4), P_relation_composition-{F}(V4,V2,V5), P_relation_dom-{F}(V5,V6), in-{F}(V6,V7), in-{F}(V7,V8), P_relation_dom-{F}(V4,V8), P_relation_rng-{F}(V4,V9), pppp16-{F}(V0,V4,V10) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1828: disj( #6, #4+#1441 ), references = 1, size of lhs = 2:
% 19.86/20.02 P_relation_rng-{F}(V0,V1), pppp16-{F}(V2,V0,V3) | pppp18-{T}(V1,V3)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1834: mergings( V4 == V2, V3 == V5; #1831 ), references = 2, size of lhs = 7:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V0,V2), pppp16-{F}(V0,V1,V2), P_empty_set-{F}(V3) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1921: mergings( V2 == V3; #1919 ), references = 1, size of lhs = 6:
% 19.86/20.02 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, in-{F}(V3,V2), pppp2-{F}(V4,V3), pppp5-{F}(V4,V5,V2) | pppp18-{T}(V5,V1)
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1943: mergings( V6 == V8, V8 == V11, V5 == V7, V7 == V10, V3 == V1, V4 == V12, V12 == V13, V13 == V14; #1932 ), references = 1, size of lhs = 7:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp16-{F}(V0,V3,V1), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V3,V5) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1951: mergings( V4 == V5, V5 == V7, V2 == V8, V3 == V9, V9 == V10, V10 == V11; #1944 ), references = 1, size of lhs = 6:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp16-{F}(V0,V3,V1), P_relation_rng-{F}(V3,V4) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1957: mergings( V2 == V5, V3 == V6, V6 == V7, V7 == V8; #1952 ), references = 1, size of lhs = 5:
% 19.86/20.02 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp16-{F}(V0,V3,V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1959: exists( #75, #1952 ), references = 1, size of lhs = 5:
% 19.86/20.02 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1961: exists( #91, #1958 ), references = 2, size of lhs = 4:
% 19.86/20.02 pppp17-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1975: exists( #91, #1971 ), references = 1, size of lhs = 2:
% 19.86/20.02 pppp17-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1979: mergings( V0 == V2; #1976 ), references = 1, size of lhs = 1:
% 19.86/20.02 P_empty_set-{F}(V0) | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 #1982: exists( #94, #1976 ), references = 1, size of lhs = 0:
% 19.86/20.02 FALSE | FALSE
% 19.86/20.02 (used 0 times, uses = {})
% 19.86/20.02
% 19.86/20.02 number of learnt formulas = 85
% 19.86/20.02
% 19.86/20.02
% 19.86/20.02 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.86/20.02
% 19.86/20.02 randbase = 1
%------------------------------------------------------------------------------