TSTP Solution File: SEU199+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:17:28 EDT 2022
% Result : Theorem 189.78s 189.99s
% Output : Refutation 189.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU199+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:44:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 189.78/189.99 GeoParameters:
% 189.78/189.99
% 189.78/189.99 tptp_input = 1
% 189.78/189.99 tptp_output = 0
% 189.78/189.99 nonempty = 1
% 189.78/189.99 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.78/189.99 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 189.78/189.99
% 189.78/189.99
% 189.78/189.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.78/189.99 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.78/189.99
% 189.78/189.99 RuleSystem INPUT:
% 189.78/189.99
% 189.78/189.99 Initial Rules:
% 189.78/189.99 #0: input, references = 17, size of lhs = 2:
% 189.78/189.99 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1: input, references = 3, size of lhs = 1:
% 189.78/189.99 empty-{F}(V0) | relation-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2: input, references = 4, size of lhs = 3:
% 189.78/189.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #3: input, references = 8, size of lhs = 3:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V3), P_relation_rng_restriction-{F}(V2,V0,V3) | pppp1-{T}(V2,V0,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #4: input, references = 4, size of lhs = 5:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V0,V3), pppp1-{F}(V2,V0,V1), V1 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #5: input, references = 37, size of lhs = 3:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), P_ordered_pair-{F}(V3,V4,V5), in-{F}(V5,V2) | pppp0-{T}(V0,V1,V3,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #6: input, references = 29, size of lhs = 3:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V0,V1,V3,V4) | in-{T}(V5,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #7: input, references = 23, size of lhs = 3:
% 189.78/189.99 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp16-{T}(V0,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #8: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp16-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #9: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V0,V1,V2,V3,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #10: input, references = 4, size of lhs = 4:
% 189.78/189.99 pppp3-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V3,V4,V5), pppp0-{F}(V0,V1,V3,V4), in-{F}(V5,V2) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #11: input, references = 3, size of lhs = 2:
% 189.78/189.99 pppp3-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V2), pppp0-{T}(V0,V1,V3,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #12: input, references = 17, size of lhs = 2:
% 189.78/189.99 P_ordered_pair-{F}(V2,V3,V4), pppp0-{F}(V0,V1,V2,V3) | in-{T}(V3,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #13: input, references = 18, size of lhs = 2:
% 189.78/189.99 P_ordered_pair-{F}(V2,V3,V4), pppp0-{F}(V0,V1,V2,V3) | in-{T}(V4,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #14: input, references = 16, size of lhs = 3:
% 189.78/189.99 P_ordered_pair-{F}(V2,V3,V4), in-{F}(V3,V0), in-{F}(V4,V1) | pppp0-{T}(V0,V1,V2,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #15: input, references = 3, size of lhs = 3:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), subset-{F}(V0,V1) | pppp2-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #16: input, references = 11, size of lhs = 3:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), pppp2-{F}(V0,V1) | subset-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #17: input, references = 21, size of lhs = 3:
% 189.78/189.99 pppp2-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | in-{T}(V4,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #18: input, references = 19, size of lhs = 2:
% 189.78/189.99 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #19: input, references = 8, size of lhs = 1:
% 189.78/189.99 pppp17-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #20: input, references = 5, size of lhs = 1:
% 189.78/189.99 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V2,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #21: input, references = 10, size of lhs = 3:
% 189.78/189.99 pppp5-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #22: input, references = 21, size of lhs = 2:
% 189.78/189.99 pppp5-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V4,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #23: input, references = 5, size of lhs = 5:
% 189.78/189.99 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #24: input, references = 8, size of lhs = 2:
% 189.78/189.99 relation-{F}(V0), P_relation_rng_restriction-{F}(V1,V0,V2) | relation-{T}(V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #25: input, references = 8, size of lhs = 1:
% 189.78/189.99 #-{F} V0 | EXISTS V1: pppp7-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #26: input, references = 10, size of lhs = 1:
% 189.78/189.99 pppp7-{F}(V0,V1) | element-{T}(V1,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #27: input, references = 4, size of lhs = 2:
% 189.78/189.99 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #28: input, references = 3, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | empty-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #29: input, references = 4, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #30: input, references = 3, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #31: input, references = 3, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #32: input, references = 3, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | empty-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #33: input, references = 3, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | relation-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #34: input, references = 4, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #35: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp8-{F}(V0) | relation-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #36: input, references = 5, size of lhs = 1:
% 189.78/189.99 pppp8-{F}(V0) | empty-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #37: input, references = 4, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #38: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp18-{F}(V0) | EXISTS V1: pppp9-{T}(V1,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #39: input, references = 3, size of lhs = 2:
% 189.78/189.99 pppp9-{F}(V0,V1), empty-{F}(V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #40: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #41: input, references = 4, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #42: input, references = 5, size of lhs = 1:
% 189.78/189.99 pppp10-{F}(V0) | empty-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #43: input, references = 3, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #44: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp11-{F}(V0) | relation-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #45: input, references = 4, size of lhs = 2:
% 189.78/189.99 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #46: input, references = 4, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V3,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #47: input, references = 5, size of lhs = 1:
% 189.78/189.99 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #48: input, references = 3, size of lhs = 1:
% 189.78/189.99 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #49: input, references = 3, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #50: input, references = 3, size of lhs = 2:
% 189.78/189.99 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #51: input, references = 3, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #52: input, references = 4, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #53: input, references = 4, size of lhs = 1:
% 189.78/189.99 pppp15-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #54: input, references = 4, size of lhs = 1:
% 189.78/189.99 pppp15-{F}(V0) | relation-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #55: input, references = 4, size of lhs = 3:
% 189.78/189.99 pppp14-{F}(V0,V1), P_relation_rng_restriction-{F}(V1,V0,V2), subset-{F}(V2,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #56: input, references = 10, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #57: input, references = 5, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #58: input, references = 3, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #59: input, references = 10, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #60: input, references = 8, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #61: input, references = 11, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #62: input, references = 8, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #63: input, references = 14, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #64: input, references = 6, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #65: input, references = 6, size of lhs = 2:
% 189.78/189.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #66: input, references = 8, size of lhs = 2:
% 189.78/189.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_rng_restriction-{T}(V0,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #67: input, references = 14, size of lhs = 2:
% 189.78/189.99 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #68: input, references = 3, size of lhs = 1:
% 189.78/189.99 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #69: input, references = 3, size of lhs = 1:
% 189.78/189.99 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #70: input, references = 4, size of lhs = 0:
% 189.78/189.99 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 number of initial rules = 71
% 189.78/189.99
% 189.78/189.99 Simplifiers:
% 189.78/189.99 #71: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #72: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_relation_rng_restriction-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #73: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #74: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #75: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #76: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #77: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #78: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V1,V2,V8,V9), V3 == V8 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #79: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #80: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #81: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #82: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #83: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #84: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #85: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #86: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #87: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #88: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #89: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #90: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #91: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V0 == V2 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #92: unsound, references = 3, size of lhs = 3:
% 189.78/189.99 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 number of simplifiers = 22
% 189.78/189.99
% 189.78/189.99 Learnt:
% 189.78/189.99 #96: exists( #65, #2 ), references = 2, size of lhs = 1:
% 189.78/189.99 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #99: mergings( V0 == V3; #97 ), references = 6, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #104: exists( #67, #23 ), references = 2, size of lhs = 3:
% 189.78/189.99 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #108: disj( #37, input ), references = 1, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp18-{T}(V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #110: mergings( V0 == V3; #106 ), references = 1, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #113: mergings( V0 == V3, V1 == V3; #107 ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #120: mergings( V0 == V2; #117 ), references = 1, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #122: mergings( V0 == V2; #118 ), references = 1, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #129: mergings( V0 == V2; #126 ), references = 1, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #131: mergings( V0 == V2; #127 ), references = 1, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #140: exists( #65, #23 ), references = 2, size of lhs = 3:
% 189.78/189.99 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #154: mergings( V2 == V3; #150 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V0), P_powerset-{F}(V4,V0) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #156: mergings( V2 == V3; #151 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), pppp11-{F}(V0), relation-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V0) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #159: mergings( V2 == V3, V3 == V5; #152 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_powerset-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3 | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #161: disj( #7, input ), references = 1, size of lhs = 4:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V0,V3), V1 == V3 | pppp16-{T}(V2,V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #174: disj( #57, input ), references = 5, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #176: mergings( V0 == V3; #172 ), references = 2, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), element-{F}(V1,V2), P_singleton-{F}(V3,V2) | in-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #178: mergings( V0 == V3; #173 ), references = 5, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #209: disj( #18, #17+#0 ), references = 1, size of lhs = 2:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0) | pppp17-{T}(V1,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #218: disj( #7, #6+#0 ), references = 1, size of lhs = 2:
% 189.78/189.99 P_ordered_pair-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V0,V1) | pppp16-{T}(V3,V4,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #253: mergings( V3 == V5; #249 ), references = 1, size of lhs = 3:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0), #-{F} V4 | pppp16-{T}(V3,V4,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #255: mergings( V4 == V7; #250 ), references = 1, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), P_ordered_pair-{F}(V4,V5,V2), #-{F} V6 | pppp16-{T}(V6,V1,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #257: mergings( V6 == V9; #251 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V7,V4), #-{F} V8 | pppp16-{T}(V8,V3,V5)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #271: disj( #18, #17+#63 ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), P_ordered_pair-{F}(V4,V5,V2) | pppp17-{T}(V3,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #272: disj( #18, #17+#0 ), references = 1, size of lhs = 3:
% 189.78/189.99 in-{F}(V0,V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V1) | pppp17-{T}(V2,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #273: disj( #18, #17+#61 ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V7,V4) | pppp17-{T}(V5,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #316: mergings( V4 == V7; #312 ), references = 1, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), P_ordered_pair-{F}(V4,V5,V2), #-{F} V6 | pppp16-{T}(V1,V6,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #318: mergings( V4 == V6; #313 ), references = 1, size of lhs = 4:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V1,V3), in-{F}(V3,V4), #-{F} V5 | pppp16-{T}(V0,V5,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #320: mergings( V6 == V9; #314 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V7,V4), #-{F} V8 | pppp16-{T}(V3,V8,V5)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #358: mergings( V0 == V4; #355 ), references = 1, size of lhs = 2:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp12-{T}(V0,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #360: mergings( V0 == V4; #356 ), references = 1, size of lhs = 3:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp12-{T}(V1,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #396: mergings( V5 == V7; #394 ), references = 3, size of lhs = 4:
% 189.78/189.99 relation-{F}(V0), pppp0-{F}(V1,V0,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V5,V1,V4) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #401: mergings( V4 == V8, V8 == V10; #398 ), references = 8, size of lhs = 5:
% 189.78/189.99 relation-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V3), P_ordered_pair-{F}(V4,V2,V1), P_ordered_pair-{F}(V5,V3,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #412: exists( #66, #4 ), references = 1, size of lhs = 3:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), pppp1-{F}(V2,V0,V1) | P_relation_rng_restriction-{T}(V2,V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #419: disj( #7, #6+#0 ), references = 1, size of lhs = 3:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V1), pppp0-{F}(V4,V5,V2,V3) | pppp16-{T}(V4,V5,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #420: disj( #7, #6+#63 ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), pppp0-{F}(V5,V6,V2,V3) | pppp16-{T}(V5,V6,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #421: disj( #7, #6+#401 ), references = 1, size of lhs = 6:
% 189.78/189.99 relation-{F}(V0), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V1,V4), P_ordered_pair-{F}(V5,V2,V4), P_ordered_pair-{F}(V6,V7,V4), pppp0-{F}(V8,V9,V6,V7) | pppp16-{T}(V8,V9,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #453: mergings( V5 == V7; #450 ), references = 1, size of lhs = 4:
% 189.78/189.99 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V3,V4,V2), pppp0-{F}(V1,V5,V3,V4), #-{F} V6 | pppp16-{T}(V1,V5,V6)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #455: mergings( V5 == V12; #451 ), references = 1, size of lhs = 8:
% 189.78/189.99 relation-{F}(V0), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V1,V4), P_ordered_pair-{F}(V5,V2,V4), P_ordered_pair-{F}(V6,V4,V7), P_ordered_pair-{F}(V8,V9,V7), pppp0-{F}(V0,V10,V8,V9), #-{F} V11 | pppp16-{T}(V0,V10,V11)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #466: mergings( V3 == V4; #463 ), references = 1, size of lhs = 4:
% 189.78/189.99 in-{F}(V0,V1), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V4,V1), #-{F} V5 | pppp16-{T}(V5,V0,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #468: mergings( V3 == V10; #464 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), in-{F}(V1,V2), P_ordered_pair-{F}(V3,V1,V4), P_ordered_pair-{F}(V5,V2,V4), P_ordered_pair-{F}(V6,V4,V7), in-{F}(V7,V8), #-{F} V9 | pppp16-{T}(V0,V9,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #518: mergings( V9 == V4; #516 ), references = 1, size of lhs = 6:
% 189.78/189.99 relation-{F}(V0), pppp1-{F}(V1,V0,V2), P_ordered_pair-{F}(V3,V1,V4), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V7,V4), P_ordered_pair-{F}(V8,V9,V4) | pppp17-{T}(V5,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #571: disj( #18, #16+#55 ), references = 2, size of lhs = 4:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), pppp14-{F}(V1,V2), P_relation_rng_restriction-{F}(V2,V1,V0) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #599: exists( #67, #595 ), references = 1, size of lhs = 6:
% 189.78/189.99 relation-{F}(V0), pppp1-{F}(V0,V1,V2), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V3,V6), P_ordered_pair-{F}(V7,V4,V6), pppp5-{F}(V2,V8,V9,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #600: exists( #67, #596 ), references = 1, size of lhs = 3:
% 189.78/189.99 in-{F}(V0,V1), pppp1-{F}(V0,V2,V3), pppp5-{F}(V3,V4,V5,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #639: mergings( V10 == V12, V3 == V4, V4 == V5; #633 ), references = 1, size of lhs = 9:
% 189.78/189.99 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp2-{F}(V2,V4), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V5,V7), in-{F}(V7,V8), P_ordered_pair-{F}(V9,V10,V4), #-{F} V11 | pppp16-{T}(V3,V11,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #643: mergings( V9 == V15, V3 == V4, V4 == V5; #634 ), references = 1, size of lhs = 12:
% 189.78/189.99 P_empty_set-{F}(V0), relation-{F}(V1), pppp2-{F}(V2,V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V2), P_ordered_pair-{F}(V5,V1,V6), in-{F}(V6,V7), P_ordered_pair-{F}(V8,V6,V6), P_ordered_pair-{F}(V9,V7,V10), in-{F}(V10,V11), P_ordered_pair-{F}(V12,V13,V6), #-{F} V14 | pppp16-{T}(V3,V14,V11)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #673: disj( #7, exists( #67, #596 ) ), references = 1, size of lhs = 3:
% 189.78/189.99 in-{F}(V0,V1), pppp5-{F}(V2,V3,V4,V1), #-{F} V5 | pppp16-{T}(V0,V5,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #720: mergings( V3 == V4; #718 ), references = 8, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), in-{F}(V5,V6), pppp5-{F}(V4,V7,V8,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #739: mergings( V2 == V3; #737 ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V7), V7 == V0 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #742: mergings( V4 == V5; #740 ), references = 7, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp6-{F}(V4,V5,V6) | pppp5-{T}(V4,V5,V6,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #777: exists( #67, #771 ), references = 1, size of lhs = 4:
% 189.78/189.99 in-{F}(V0,V1), pppp1-{F}(V1,V2,V3), pppp5-{F}(V2,V4,V5,V0), pppp5-{F}(V6,V3,V5,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #778: exists( #67, #772 ), references = 1, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), pppp1-{F}(V3,V4,V1), pppp5-{F}(V4,V5,V6,V2) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #780: mergings( V8 == V3; #776 ), references = 1, size of lhs = 8:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), in-{F}(V7,V8), pppp1-{F}(V8,V9,V0), pppp5-{F}(V9,V10,V11,V7) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #787: exists( #19, #781 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), pppp1-{F}(V2,V4,V5), pppp17-{F}(V5,V6), pppp1-{F}(V3,V5,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #789: mergings( V3 == V6; #785 ), references = 1, size of lhs = 8:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), in-{F}(V2,V4), pppp1-{F}(V4,V5,V3), pppp17-{F}(V5,V6), pppp1-{F}(V1,V7,V5) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #791: mergings( V3 == V6; #786 ), references = 1, size of lhs = 10:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), pppp1-{F}(V5,V6,V2), pppp17-{F}(V6,V7), pppp1-{F}(V1,V8,V6), pppp1-{F}(V4,V9,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #797: disj( #18, mergings( V3 == V6; #785 ) ), references = 1, size of lhs = 8:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), in-{F}(V2,V4), pppp1-{F}(V4,V5,V3), pppp1-{F}(V1,V6,V5), #-{F} V7 | pppp2-{T}(V5,V7)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #798: disj( #18, mergings( V3 == V6; #786 ) ), references = 1, size of lhs = 10:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), in-{F}(V2,V5), pppp1-{F}(V5,V6,V2), pppp1-{F}(V1,V7,V6), pppp1-{F}(V4,V8,V6), #-{F} V9 | pppp2-{T}(V6,V9)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #863: exists( #67, #857 ), references = 1, size of lhs = 4:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3), pppp5-{F}(V2,V4,V5,V6), pppp5-{F}(V7,V3,V5,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #864: exists( #67, #858 ), references = 1, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3,V1), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V7) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #866: mergings( V11 == V3; #862 ), references = 1, size of lhs = 8:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp1-{F}(V5,V6,V0), pppp1-{F}(V5,V6,V7), pppp5-{F}(V4,V8,V9,V0), pppp5-{F}(V7,V10,V11,V12) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #870: disj( #7, exists( #67, #857 ) ), references = 1, size of lhs = 3:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), pppp5-{F}(V2,V3,V4,V5), pppp5-{F}(V6,V7,V4,V5) | pppp16-{T}(V0,V1,V7)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #871: disj( #7, exists( #67, #858 ) ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V7) | pppp16-{T}(V2,V3,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #873: mergings( V2 == V3; #869 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), pppp1-{F}(V7,V8,V9), pppp5-{F}(V9,V10,V11,V12) | pppp16-{T}(V7,V8,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #938: mergings( V5 == V7; #934 ), references = 1, size of lhs = 6:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), in-{F}(V5,V3), pppp1-{F}(V1,V6,V5), P_ordered_pair-{F}(V7,V8,V3) | pppp17-{T}(V4,V6)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #940: mergings( V6 == V8; #935 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), pppp1-{F}(V3,V4,V1), P_ordered_pair-{F}(V5,V2,V6), in-{F}(V6,V7), P_ordered_pair-{F}(V8,V9,V6) | pppp17-{T}(V7,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #942: mergings( V8 == V10; #936 ), references = 1, size of lhs = 9:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5), pppp1-{F}(V5,V6,V3), P_ordered_pair-{F}(V7,V4,V8), in-{F}(V8,V9), P_ordered_pair-{F}(V10,V11,V8) | pppp17-{T}(V9,V6)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #946: disj( #7, exists( #67, #857 ) ), references = 1, size of lhs = 3:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), pppp5-{F}(V3,V2,V4,V5), pppp5-{F}(V6,V7,V4,V5) | pppp16-{T}(V0,V1,V6)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #947: disj( #7, exists( #67, #858 ) ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V3,V1), pppp5-{F}(V4,V5,V6,V7) | pppp16-{T}(V2,V3,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #948: disj( #7, mergings( V11 == V3; #862 ) ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp1-{F}(V5,V6,V0), pppp5-{F}(V4,V7,V8,V0), pppp5-{F}(V9,V10,V11,V12) | pppp16-{T}(V5,V6,V9)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1033: disj( #7, exists( #19, #781 ) ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), pppp17-{F}(V4,V5), pppp1-{F}(V3,V4,V5), #-{F} V6 | pppp16-{T}(V2,V6,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1093: exists( #67, #1090 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp5-{F}(V0,V4,V3,V5), P_unordered_pair-{F}(V3,V5,V6), in-{F}(V5,V7), P_unordered_pair-{F}(V1,V7,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1096: exists( #65, #1094 ), references = 1, size of lhs = 5:
% 189.78/189.99 relation-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3), P_singleton-{F}(V3,V2), pppp5-{F}(V0,V4,V3,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1112: disj( #18, exists( #19, #781 ) ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3), pppp1-{F}(V2,V4,V5), pppp1-{F}(V3,V5,V6) | pppp2-{T}(V5,V6)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1183: mergings( V5 == V6; #1179 ), references = 1, size of lhs = 5:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp1-{F}(V1,V5,V3), P_ordered_pair-{F}(V6,V7,V3) | pppp17-{T}(V4,V5)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1185: mergings( V5 == V7; #1180 ), references = 1, size of lhs = 9:
% 189.78/189.99 relation-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3,V0), P_ordered_pair-{F}(V4,V1,V5), in-{F}(V5,V6), P_ordered_pair-{F}(V7,V8,V5), in-{F}(V9,V10), P_ordered_pair-{F}(V11,V9,V5), P_ordered_pair-{F}(V12,V10,V5) | pppp17-{T}(V6,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1187: mergings( V5 == V7; #1181 ), references = 1, size of lhs = 8:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V0,V3), in-{F}(V3,V4), pppp1-{F}(V1,V5,V6), P_ordered_pair-{F}(V7,V8,V3), P_ordered_pair-{F}(V9,V10,V3), pppp3-{F}(V11,V12,V6,V9,V10), pppp0-{F}(V11,V12,V9,V10) | pppp17-{T}(V4,V5)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1315: mergings( V3 == V4; #1313 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), pppp2-{F}(V5,V4), pppp5-{F}(V5,V6,V7,V8), pppp5-{F}(V9,V2,V7,V8) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1320: mergings( V3 == V6, V6 == V7; #1317 ), references = 3, size of lhs = 9:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3,V4), pppp17-{F}(V4,V5), pppp2-{F}(V4,V6), element-{F}(V6,V7), P_powerset-{F}(V5,V7), P_singleton-{F}(V8,V5) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1357: exists( #67, #1351 ), references = 3, size of lhs = 3:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), pppp5-{F}(V2,V3,V4,V5), pppp5-{F}(V6,V1,V4,V5) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1358: exists( #67, #1352 ), references = 2, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3), pppp5-{F}(V3,V4,V5,V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1360: mergings( V11 == V3; #1356 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), pppp1-{F}(V7,V0,V8), pppp5-{F}(V8,V9,V10,V11) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1405: exists( #67, #1399 ), references = 1, size of lhs = 5:
% 189.78/189.99 in-{F}(V0,V1), pppp1-{F}(V1,V2,V3), pppp1-{F}(V4,V2,V5), pppp5-{F}(V5,V6,V7,V0), pppp5-{F}(V8,V3,V7,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1406: exists( #67, #1400 ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), pppp1-{F}(V3,V4,V1), pppp1-{F}(V5,V4,V6), pppp5-{F}(V6,V7,V8,V2) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1408: mergings( V8 == V3; #1404 ), references = 1, size of lhs = 9:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), in-{F}(V7,V8), pppp1-{F}(V8,V9,V0), pppp1-{F}(V10,V9,V11), pppp5-{F}(V11,V12,V13,V7) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1412: disj( #7, exists( #67, #1399 ) ), references = 1, size of lhs = 4:
% 189.78/189.99 in-{F}(V0,V1), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), pppp5-{F}(V7,V8,V6,V0) | pppp16-{T}(V1,V3,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1413: disj( #7, exists( #67, #1400 ) ), references = 1, size of lhs = 5:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), pppp1-{F}(V4,V5,V6), pppp5-{F}(V6,V7,V8,V2) | pppp16-{T}(V3,V5,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1415: mergings( V2 == V3; #1411 ), references = 1, size of lhs = 8:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), in-{F}(V7,V8), pppp1-{F}(V9,V10,V11), pppp5-{F}(V11,V12,V13,V7) | pppp16-{T}(V8,V10,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1423: mergings( V2 == V5; #1421 ), references = 1, size of lhs = 10:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3,V4), pppp17-{F}(V4,V5), pppp2-{F}(V4,V6), in-{F}(V6,V7), P_powerset-{F}(V5,V8), P_singleton-{F}(V9,V5), P_ordered_pair-{F}(V10,V11,V6) | pppp17-{T}(V7,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1441: mergings( V6 == V10, V3 == V4; #1438 ), references = 1, size of lhs = 7:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V4,V6), in-{F}(V6,V7), #-{F} V8 | pppp16-{T}(V2,V8,V7)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1510: mergings( V3 == V4, V4 == V7; #1506 ), references = 1, size of lhs = 12:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3,V4), pppp17-{F}(V4,V5), pppp2-{F}(V4,V6), in-{F}(V6,V7), P_powerset-{F}(V5,V8), P_powerset-{F}(V8,V9), P_singleton-{F}(V10,V5), P_ordered_pair-{F}(V11,V12,V7), pppp0-{F}(V13,V14,V11,V12) | pppp16-{T}(V13,V14,V9)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1573: exists( #19, #1569 ), references = 2, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp17-{F}(V4,V5), pppp1-{F}(V6,V5,V4) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1575: disj( #7, exists( #19, #1569 ) ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp17-{F}(V4,V5), #-{F} V6 | pppp16-{T}(V6,V5,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1642: mergings( V2 == V3; #1640 ), references = 4, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4), in-{F}(V5,V0) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1667: mergings( V2 == V9; #1663 ), references = 1, size of lhs = 6:
% 189.78/189.99 in-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V0), P_ordered_pair-{F}(V4,V5,V0), P_ordered_pair-{F}(V6,V7,V0), pppp5-{F}(V8,V9,V6,V7), pppp1-{F}(V10,V9,V11) | pppp17-{T}(V1,V11)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1669: mergings( V5 == V10; #1664 ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3), in-{F}(V4,V5), P_ordered_pair-{F}(V6,V7,V4), P_ordered_pair-{F}(V8,V9,V4) | pppp17-{T}(V5,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1672: mergings( V7 == V12, V14 == V2; #1665 ), references = 1, size of lhs = 9:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), pppp1-{F}(V7,V0,V8), in-{F}(V9,V10), P_ordered_pair-{F}(V11,V12,V9), P_ordered_pair-{F}(V13,V14,V9) | pppp17-{T}(V10,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1692: mergings( V2 == V3, V3 == V4; #1689 ), references = 1, size of lhs = 9:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), P_powerset-{F}(V1,V5), in-{F}(V6,V0), in-{F}(V7,V6) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1734: mergings( V5 == V10; #1730 ), references = 1, size of lhs = 6:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), P_ordered_pair-{F}(V3,V4,V5), P_ordered_pair-{F}(V6,V7,V5), pppp0-{F}(V8,V9,V6,V7), P_ordered_pair-{F}(V10,V11,V5), pppp5-{F}(V12,V1,V10,V11) | pppp16-{T}(V8,V9,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1736: mergings( V8 == V11; #1731 ), references = 1, size of lhs = 6:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V7,V8,V6), pppp0-{F}(V9,V10,V7,V8) | pppp16-{T}(V9,V10,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1739: mergings( V10 == V13, V15 == V3; #1732 ), references = 1, size of lhs = 9:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3,V4), pppp5-{F}(V4,V5,V6,V0), pppp1-{F}(V7,V0,V8), P_ordered_pair-{F}(V9,V10,V11), P_ordered_pair-{F}(V12,V13,V11), pppp0-{F}(V14,V15,V12,V13) | pppp16-{T}(V14,V15,V8)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1845: mergings( V2 == V5; #1841 ), references = 1, size of lhs = 5:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), P_ordered_pair-{F}(V4,V5,V3) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1847: mergings( V2 == V5; #1842 ), references = 2, size of lhs = 5:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1859: mergings( V3 == V4, V4 == V7; #1854 ), references = 1, size of lhs = 4:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp5-{F}(V1,V3,V4,V5) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1865: mergings( V3 == V6, V6 == V7, V7 == V10; #1861 ), references = 1, size of lhs = 7:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp17-{F}(V3,V4), pppp1-{F}(V1,V5,V3), P_empty_set-{F}(V6) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1890: exists( #25, #1887 ), references = 1, size of lhs = 3:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp7-{T}(V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1907: disj( #7, mergings( V3 == V6, V6 == V7; #1317 ) ), references = 1, size of lhs = 9:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp17-{F}(V3,V4), pppp2-{F}(V3,V5), element-{F}(V5,V6), P_powerset-{F}(V4,V6), P_singleton-{F}(V7,V4), #-{F} V8 | pppp16-{T}(V1,V8,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #1975: disj( #18, mergings( V3 == V6, V6 == V7; #1317 ) ), references = 1, size of lhs = 8:
% 189.78/189.99 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3,V4), pppp2-{F}(V4,V5), element-{F}(V5,V6), P_powerset-{F}(V7,V6), P_singleton-{F}(V8,V7) | pppp2-{T}(V4,V7)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2019: mergings( V2 == V4, V4 == V7; #2016 ), references = 1, size of lhs = 11:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4), V0 == V4, empty-{F}(V5), P_powerset-{F}(V5,V6), pppp1-{F}(V6,V7,V0), pppp1-{F}(V8,V1,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2025: mergings( V3 == V4, V4 == V7; #2022 ), references = 1, size of lhs = 7:
% 189.78/189.99 relation-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V5) | P_relation_rng_restriction-{T}(V5,V0,V3)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2114: mergings( V0 == V10, V2 == V3; #2111 ), references = 1, size of lhs = 9:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), P_powerset-{F}(V1,V4), P_powerset-{F}(V5,V4), pppp1-{F}(V6,V3,V4), P_ordered_pair-{F}(V7,V6,V0), P_ordered_pair-{F}(V8,V9,V0) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2167: exists( #20, #1357 ), references = 1, size of lhs = 2:
% 189.78/189.99 pppp1-{F}(V0,V1,V2), pppp6-{F}(V2,V1,V3) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2168: exists( #20, #1358 ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3), pppp6-{F}(V3,V4,V5) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2171: exists( #19, #2165 ), references = 3, size of lhs = 2:
% 189.78/189.99 pppp17-{F}(V0,V1), pppp1-{F}(V2,V1,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2172: exists( #19, #2166 ), references = 2, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1,V3), pppp17-{F}(V3,V4) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2200: disj( #7, exists( #19, #2165 ) ), references = 1, size of lhs = 2:
% 189.78/189.99 pppp17-{F}(V0,V1), #-{F} V2 | pppp16-{T}(V2,V1,V0)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2280: mergings( V2 == V4; #2277 ), references = 1, size of lhs = 8:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), V0 == V2, empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4), pppp1-{F}(V5,V1,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2283: mergings( V2 == V4, V4 == V7; #2278 ), references = 1, size of lhs = 9:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4), V0 == V4, empty-{F}(V5), pppp1-{F}(V6,V5,V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2291: mergings( V3 == V4; #2288 ), references = 1, size of lhs = 6:
% 189.78/189.99 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V0,V3), #-{F} V4 | P_relation_rng_restriction-{T}(V4,V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2294: mergings( V3 == V5, V5 == V8; #2289 ), references = 1, size of lhs = 8:
% 189.78/189.99 relation-{F}(V0), empty-{F}(V0), relation-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4), #-{F} V5 | P_relation_rng_restriction-{T}(V5,V0,V4)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2342: mergings( V2 == V3; #2340 ), references = 1, size of lhs = 6:
% 189.78/189.99 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_powerset-{F}(V1,V3), in-{F}(V3,V0), P_powerset-{F}(V4,V3) | pppp17-{T}(V0,V1)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2361: disj( #7, exists( #19, #2166 ) ), references = 1, size of lhs = 4:
% 189.78/189.99 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V2,V3), #-{F} V4 | pppp16-{T}(V4,V1,V2)
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2381: exists( #66, #2379 ), references = 1, size of lhs = 2:
% 189.78/189.99 relation-{F}(V0), pppp14-{F}(V0,V1) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2383: exists( #53, #2380 ), references = 2, size of lhs = 2:
% 189.78/189.99 pppp15-{F}(V0), relation-{F}(V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2388: exists( #52, #2384 ), references = 1, size of lhs = 1:
% 189.78/189.99 P_empty_set-{F}(V0) | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 #2390: exists( #70, #2387 ), references = 1, size of lhs = 0:
% 189.78/189.99 FALSE | FALSE
% 189.78/189.99 (used 0 times, uses = {})
% 189.78/189.99
% 189.78/189.99 number of learnt formulas = 127
% 189.78/189.99
% 189.78/189.99
% 189.78/189.99 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 189.78/189.99
% 189.78/189.99 randbase = 1
%------------------------------------------------------------------------------