TSTP Solution File: SEU177+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU177+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 06:17:25 EDT 2022
% Result : Theorem 16.95s 17.12s
% Output : Refutation 16.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU177+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:53:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 16.95/17.12 GeoParameters:
% 16.95/17.12
% 16.95/17.12 tptp_input = 1
% 16.95/17.12 tptp_output = 0
% 16.95/17.12 nonempty = 1
% 16.95/17.12 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.95/17.12 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 16.95/17.12
% 16.95/17.12
% 16.95/17.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.95/17.12 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.95/17.12
% 16.95/17.12 RuleSystem INPUT:
% 16.95/17.12
% 16.95/17.12 Initial Rules:
% 16.95/17.12 #0: input, references = 3, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | empty-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1: input, references = 4, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V2,V1,V4), V3 == V4 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #2: input, references = 5, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp4-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #3: input, references = 5, size of lhs = 1:
% 16.95/17.12 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #4: input, references = 4, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #5: input, references = 3, size of lhs = 1:
% 16.95/17.12 pppp5-{F}(V0) | relation-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #6: input, references = 5, size of lhs = 1:
% 16.95/17.12 pppp5-{F}(V0) | empty-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #7: input, references = 4, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #8: input, references = 5, size of lhs = 1:
% 16.95/17.12 pppp6-{F}(V0) | empty-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #9: input, references = 3, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #10: input, references = 3, size of lhs = 2:
% 16.95/17.12 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #11: input, references = 3, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #12: input, references = 3, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #13: input, references = 4, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #14: input, references = 5, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #15: input, references = 5, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #16: input, references = 15, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #17: input, references = 3, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #18: input, references = 3, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #19: input, references = 8, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #20: input, references = 5, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), P_unordered_pair-{F}(V1,V2,V4), P_singleton-{F}(V1,V5), P_unordered_pair-{F}(V4,V5,V6), V3 == V6 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #21: input, references = 4, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #22: input, references = 4, size of lhs = 3:
% 16.95/17.12 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | EXISTS V3: pppp9-{T}(V0,V1,V2,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #23: input, references = 5, size of lhs = 3:
% 16.95/17.12 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #24: input, references = 7, size of lhs = 1:
% 16.95/17.12 pppp9-{F}(V0,V1,V2,V3) | EXISTS V4: pppp8-{T}(V4,V3,V0,V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #25: input, references = 4, size of lhs = 4:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V0,V1,V5), in-{F}(V0,V3), in-{F}(V1,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #26: input, references = 12, size of lhs = 2:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), P_ordered_pair-{F}(V0,V1,V5) | in-{T}(V5,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #27: input, references = 6, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1) | pppp1-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #28: input, references = 3, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), pppp1-{F}(V1,V3), V3 == V2 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #29: input, references = 7, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V2) | pppp0-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #30: input, references = 21, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V1,V3) | in-{T}(V3,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #31: input, references = 13, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp15-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #32: input, references = 3, size of lhs = 1:
% 16.95/17.12 pppp15-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V0,V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #33: input, references = 16, size of lhs = 3:
% 16.95/17.12 pppp11-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #34: input, references = 10, size of lhs = 1:
% 16.95/17.12 pppp11-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #35: input, references = 4, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V1,V2,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #36: input, references = 15, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | pppp0-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #37: input, references = 11, size of lhs = 2:
% 16.95/17.12 pppp12-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #38: input, references = 6, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1) | pppp3-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #39: input, references = 3, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), pppp3-{F}(V1,V3), V3 == V2 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #40: input, references = 7, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), in-{F}(V3,V2) | pppp2-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #41: input, references = 28, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp2-{F}(V1,V3) | in-{T}(V3,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #42: input, references = 11, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp3-{T}(V1,V2), pppp16-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #43: input, references = 3, size of lhs = 1:
% 16.95/17.12 pppp16-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #44: input, references = 9, size of lhs = 3:
% 16.95/17.12 pppp13-{F}(V0,V1,V2), pppp2-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #45: input, references = 7, size of lhs = 1:
% 16.95/17.12 pppp13-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp2-{T}(V0,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #46: input, references = 4, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | EXISTS V3: pppp14-{T}(V1,V2,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #47: input, references = 21, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_ordered_pair-{F}(V3,V2,V4), in-{F}(V4,V1) | pppp2-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #48: input, references = 9, size of lhs = 2:
% 16.95/17.12 pppp14-{F}(V0,V1,V2), P_ordered_pair-{F}(V2,V1,V3) | in-{T}(V3,V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #49: input, references = 4, size of lhs = 0:
% 16.95/17.12 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #50: input, references = 13, size of lhs = 2:
% 16.95/17.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #51: input, references = 7, size of lhs = 1:
% 16.95/17.12 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #52: input, references = 21, size of lhs = 2:
% 16.95/17.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #53: input, references = 5, size of lhs = 1:
% 16.95/17.12 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #54: input, references = 6, size of lhs = 1:
% 16.95/17.12 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 number of initial rules = 55
% 16.95/17.12
% 16.95/17.12 Simplifiers:
% 16.95/17.12 #55: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #56: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #57: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #58: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #59: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #60: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #61: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #62: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #63: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #64: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #65: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #66: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #67: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #68: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V8,V9), V3 == V8 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #69: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp8-{F}(V0,V1,V2,V3,V4), pppp8-{F}(V5,V6,V2,V8,V9), V4 == V9 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #70: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #71: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #72: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #73: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp9-{F}(V0,V1,V2,V3), pppp9-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #74: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #75: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #76: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #77: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #78: unsound, references = 3, size of lhs = 3:
% 16.95/17.12 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 number of simplifiers = 24
% 16.95/17.12
% 16.95/17.12 Learnt:
% 16.95/17.12 #85: mergings( V0 == V2; #82 ), references = 1, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #87: mergings( V0 == V2; #83 ), references = 1, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #89: exists( #50, #1 ), references = 10, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3) | P_unordered_pair-{T}(V2,V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #91: exists( #52, #20 ), references = 15, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V4,V2,V5) | P_ordered_pair-{T}(V1,V3,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #94: mergings( V0 == V3; #92 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp15-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #96: exists( #50, #20 ), references = 14, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V4), P_unordered_pair-{F}(V1,V3,V5) | P_unordered_pair-{T}(V5,V2,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #103: mergings( V0 == V2; #100 ), references = 1, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #105: mergings( V0 == V2; #101 ), references = 1, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #110: mergings( V0 == V3; #108 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp16-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #117: mergings( V0 == V3; #113 ), references = 2, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #120: mergings( V0 == V3, V2 == V3; #114 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #123: mergings( V0 == V3, V2 == V3; #115 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), element-{F}(V1,V0), P_unordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #130: mergings( V0 == V3, V3 == V4; #127 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V3) | pppp16-{T}(V2,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #143: mergings( V0 == V3, V3 == V4, V4 == V5; #138 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3) | pppp15-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #147: mergings( V0 == V3, V3 == V4, V4 == V5; #139 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), in-{F}(V3,V4) | pppp15-{T}(V2,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #152: disj( #45, input ), references = 1, size of lhs = 3:
% 16.95/17.12 pppp2-{F}(V0,V1), pppp13-{F}(V0,V2,V1), pppp13-{F}(V3,V2,V1) | pppp2-{T}(V3,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #161: mergings( V3 == V4; #159 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V1,V3,V2) | in-{T}(V2,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #171: disj( #45, input ), references = 1, size of lhs = 3:
% 16.95/17.12 in-{F}(V0,V1), pppp13-{F}(V2,V1,V0), pppp13-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #203: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #198 ), references = 3, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), pppp14-{F}(V2,V6,V5), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V3,V8,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #208: mergings( V3 == V4; #206 ), references = 1, size of lhs = 7:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), P_singleton-{F}(V3,V4), pppp14-{F}(V2,V4,V5), P_unordered_pair-{F}(V3,V6,V5), P_singleton-{F}(V5,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #212: mergings( V0 == V3; #210 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp0-{F}(V3,V2), pppp11-{F}(V3,V4,V2) | pppp16-{T}(V1,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #221: mergings( V3 == V4; #219 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp14-{F}(V2,V3,V4), P_singleton-{F}(V4,V5) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #224: mergings( V2 == V3; #222 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp14-{F}(V2,V3,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #228: mergings( V0 == V4, V4 == V5; #225 ), references = 2, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp2-{F}(V2,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #233: mergings( V0 == V3, V3 == V4, V4 == V5; #229 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V3) | pppp15-{T}(V2,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #241: mergings( V0 == V3, V3 == V4, V4 == V5; #237 ), references = 2, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp3-{F}(V2,V3), V3 == V0 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #252: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V2 == V5; #245 ), references = 1, size of lhs = 4:
% 16.95/17.12 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #266: mergings( V0 == V3, V3 == V4; #263 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V3,V2,V4), pppp0-{F}(V3,V4), in-{F}(V4,V5) | pppp15-{T}(V1,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #272: mergings( V0 == V3, V3 == V4; #269 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp11-{F}(V3,V2,V4), pppp0-{F}(V3,V4), in-{F}(V4,V5) | pppp16-{T}(V1,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #278: exists( #52, #276 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V1,V2,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #281: mergings( V0 == V4; #279 ), references = 2, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #291: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #285 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V1,V2), V2 == V0 | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #300: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #293 ), references = 1, size of lhs = 3:
% 16.95/17.12 relation-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #305: mergings( V2 == V3; #303 ), references = 1, size of lhs = 4:
% 16.95/17.12 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp1-{F}(V0,V2) | P_relation_rng-{T}(V0,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #315: mergings( V3 == V4, V4 == V5; #312 ), references = 2, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V3,V1,V4), P_ordered_pair-{F}(V2,V5,V4) | pppp0-{T}(V3,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #322: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6; #317 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V1,V2,V3), P_ordered_pair-{F}(V4,V5,V3) | pppp15-{T}(V2,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #357: mergings( V3 == V4, V4 == V5; #354 ), references = 4, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp13-{F}(V3,V1,V4), P_ordered_pair-{F}(V2,V5,V4) | pppp2-{T}(V3,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #371: mergings( V0 == V3, V3 == V4; #368 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2) | pppp15-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #388: mergings( V0 == V3, V3 == V4; #385 ), references = 1, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | pppp16-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #412: mergings( V3 == V4; #409 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), pppp11-{F}(V1,V4,V3) | in-{T}(V3,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #413: disj( #34, #30+#33 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V1,V3,V4), pppp11-{F}(V5,V2,V4), pppp0-{F}(V5,V4) | in-{T}(V4,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #474: mergings( V3 == V4, V4 == V5; #471 ), references = 6, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), in-{F}(V1,V3), pppp11-{F}(V4,V3,V1), P_singleton-{F}(V5,V2), pppp14-{F}(V4,V6,V5), P_unordered_pair-{F}(V5,V6,V7), P_unordered_pair-{F}(V1,V8,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #487: mergings( V3 == V4, V4 == V5; #484 ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp12-{F}(V3,V1,V4), P_unordered_pair-{F}(V1,V4,V5), in-{F}(V4,V6), pppp13-{F}(V3,V6,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #491: mergings( V3 == V4, V4 == V5; #488 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp12-{F}(V3,V1,V4), in-{F}(V4,V5), pppp13-{F}(V3,V5,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #533: mergings( V3 == V4, V4 == V5, V5 == V6; #528 ), references = 1, size of lhs = 7:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp0-{F}(V3,V4), P_unordered_pair-{F}(V1,V4,V5), pppp12-{F}(V6,V1,V4), pppp3-{F}(V6,V7), pppp11-{F}(V3,V7,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #538: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #529 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V3), pppp12-{F}(V4,V1,V3), pppp3-{F}(V4,V5), pppp11-{F}(V6,V5,V3), pppp14-{F}(V6,V2,V3), P_singleton-{F}(V3,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #543: mergings( V3 == V4, V4 == V5, V5 == V6; #539 ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp0-{F}(V3,V4), pppp12-{F}(V5,V1,V4), pppp3-{F}(V5,V6), pppp11-{F}(V3,V6,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #680: mergings( V3 == V4, V4 == V5, V5 == V6; #675 ), references = 2, size of lhs = 7:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp11-{F}(V1,V3,V2), pppp3-{F}(V4,V3), pppp3-{F}(V5,V4), pppp12-{F}(V5,V6,V7), P_ordered_pair-{F}(V8,V2,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #685: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #676 ), references = 1, size of lhs = 11:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp3-{F}(V2,V3), pppp12-{F}(V1,V4,V5), pppp11-{F}(V6,V3,V7), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V9,V7,V5), P_singleton-{F}(V10,V8), pppp14-{F}(V6,V11,V10), P_unordered_pair-{F}(V10,V11,V12), P_unordered_pair-{F}(V7,V13,V12) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #732: mergings( V0 == V3, V3 == V4, V4 == V5; #726 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp13-{F}(V1,V3,V2), P_ordered_pair-{F}(V4,V5,V2) | pppp15-{T}(V3,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #735: mergings( V0 == V3, V3 == V4; #727 ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp13-{F}(V1,V3,V4), pppp11-{F}(V5,V2,V4), pppp0-{F}(V5,V4), P_ordered_pair-{F}(V6,V7,V4) | pppp15-{T}(V3,V6)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #739: mergings( V0 == V3, V3 == V4, V4 == V5; #728 ), references = 1, size of lhs = 10:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp13-{F}(V1,V3,V4), P_singleton-{F}(V4,V5), pppp11-{F}(V6,V2,V4), P_singleton-{F}(V7,V5), pppp14-{F}(V6,V8,V7), P_unordered_pair-{F}(V7,V8,V9), P_unordered_pair-{F}(V4,V10,V9), P_ordered_pair-{F}(V11,V12,V4) | pppp15-{T}(V3,V11)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #777: mergings( V3 == V4, V4 == V5; #774 ), references = 2, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), pppp14-{F}(V6,V4,V3), P_unordered_pair-{F}(V1,V7,V5), in-{F}(V7,V8), pppp13-{F}(V6,V8,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #783: mergings( V3 == V4, V4 == V5, V5 == V6; #779 ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp14-{F}(V4,V1,V3), in-{F}(V3,V5), pppp13-{F}(V4,V5,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #856: disj( #34, mergings( V0 == V4; #279 ) ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #917: mergings( V0 == V3, V3 == V4; #912 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), in-{F}(V3,V2) | pppp16-{T}(V1,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #919: mergings( V0 == V3; #913 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), pppp2-{F}(V3,V2), pppp13-{F}(V3,V4,V2) | pppp16-{T}(V1,V4)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1042: mergings( V0 == V3, V3 == V4, V4 == V5; #1038 ), references = 1, size of lhs = 7:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V1,V3,V4), P_ordered_pair-{F}(V5,V6,V4), P_ordered_pair-{F}(V7,V8,V4), in-{F}(V8,V9), pppp13-{F}(V2,V9,V8) | pppp15-{T}(V3,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1063: disj( #45, input ), references = 1, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), pppp13-{F}(V1,V2,V2) | pppp2-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1161: mergings( V3 == V4, V4 == V5; #1158 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V1,V6,V5), in-{F}(V6,V7), pppp13-{F}(V8,V7,V6), pppp8-{F}(V3,V4,V8,V9,V10) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1165: mergings( V2 == V3, V3 == V4; #1162 ), references = 2, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V2,V1), P_unordered_pair-{F}(V4,V1,V5), P_unordered_pair-{F}(V4,V6,V5), pppp8-{F}(V4,V6,V3,V7,V8) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1186: mergings( V0 == V3; #1184 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), #-{F} V3, V3 == V0 | pppp16-{T}(V2,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1237: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1231 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp12-{F}(V3,V1,V4), P_unordered_pair-{F}(V1,V4,V5), pppp1-{F}(V3,V6), in-{F}(V6,V7), P_singleton-{F}(V7,V5), P_unordered_pair-{F}(V7,V8,V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1252: mergings( V3 == V4; #1249 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V2,V1), pppp8-{F}(V4,V1,V3,V5,V6) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1255: mergings( V5 == V6; #1253 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V2,V1), pppp9-{F}(V3,V4,V5,V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1260: mergings( V3 == V4, V4 == V5; #1257 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp11-{F}(V1,V3,V4), pppp13-{F}(V5,V2,V4), pppp9-{F}(V5,V6,V7,V4) | in-{T}(V4,V3)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1272: disj( #34, mergings( V3 == V4, V4 == V5, V5 == V6; #539 ) ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp12-{F}(V3,V1,V4), pppp3-{F}(V3,V5), pppp11-{F}(V6,V5,V4), pppp11-{F}(V6,V7,V4) | in-{T}(V4,V7)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1323: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1317 ), references = 1, size of lhs = 13:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), pppp14-{F}(V6,V4,V3), pppp3-{F}(V6,V7), P_unordered_pair-{F}(V1,V8,V5), P_singleton-{F}(V8,V9), pppp11-{F}(V10,V7,V8), P_singleton-{F}(V11,V9), pppp14-{F}(V10,V12,V11), P_unordered_pair-{F}(V11,V12,V13), P_unordered_pair-{F}(V8,V14,V13) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1327: mergings( V3 == V4, V4 == V5, V5 == V6; #1318 ), references = 1, size of lhs = 9:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), pppp14-{F}(V6,V4,V3), pppp3-{F}(V6,V7), P_unordered_pair-{F}(V1,V8,V5), pppp0-{F}(V9,V8), pppp11-{F}(V9,V7,V8) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1339: mergings( V0 == V3, V3 == V4; #1336 ), references = 1, size of lhs = 3:
% 16.95/17.12 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V3) | pppp15-{T}(V2,V1)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1348: mergings( V0 == V3, V3 == V4; #1344 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp13-{F}(V3,V2,V4), pppp2-{F}(V3,V4), in-{F}(V4,V5) | pppp16-{T}(V1,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1352: mergings( V0 == V3, V3 == V4, V4 == V5; #1345 ), references = 1, size of lhs = 9:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp13-{F}(V3,V2,V4), in-{F}(V4,V5), P_singleton-{F}(V6,V7), P_unordered_pair-{F}(V6,V4,V8), P_singleton-{F}(V9,V7), P_unordered_pair-{F}(V9,V10,V8), pppp14-{F}(V3,V10,V9) | pppp16-{T}(V1,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1377: mergings( V3 == V4, V4 == V5; #1374 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V3,V4), pppp11-{F}(V5,V4,V3), pppp12-{F}(V5,V1,V6), P_unordered_pair-{F}(V1,V6,V7), P_unordered_pair-{F}(V3,V8,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1383: mergings( V3 == V4, V4 == V5, V5 == V6; #1379 ), references = 1, size of lhs = 6:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), in-{F}(V3,V4), pppp11-{F}(V5,V4,V3), pppp12-{F}(V5,V1,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1404: exists( #52, #1402 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp11-{F}(V3,V2,V1), pppp8-{F}(V1,V4,V3,V5,V6) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1470: mergings( V0 == V3, V3 == V4; #1467 ), references = 1, size of lhs = 2:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1577: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1570 ), references = 1, size of lhs = 10:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), pppp14-{F}(V6,V4,V3), pppp3-{F}(V6,V7), pppp3-{F}(V7,V8), in-{F}(V8,V9), P_unordered_pair-{F}(V1,V10,V5), P_ordered_pair-{F}(V11,V9,V10) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1585: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1578 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp3-{F}(V2,V3), in-{F}(V3,V4), pppp14-{F}(V1,V5,V6), P_unordered_pair-{F}(V6,V5,V7), P_unordered_pair-{F}(V6,V8,V7), P_ordered_pair-{F}(V9,V4,V8) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1638: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1632 ), references = 1, size of lhs = 10:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V1,V6,V5), pppp1-{F}(V7,V8), pppp8-{F}(V1,V6,V7,V9,V10), in-{F}(V11,V12), pppp11-{F}(V8,V12,V11), P_ordered_pair-{F}(V11,V13,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1644: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1633 ), references = 1, size of lhs = 13:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V1,V6,V5), pppp3-{F}(V7,V8), pppp3-{F}(V8,V9), pppp12-{F}(V7,V10,V11), pppp1-{F}(V12,V13), pppp11-{F}(V13,V9,V14), P_ordered_pair-{F}(V15,V14,V11), P_ordered_pair-{F}(V14,V16,V3), pppp8-{F}(V1,V6,V12,V17,V18) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1651: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1645 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V4), pppp11-{F}(V2,V4,V3), P_ordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V6,V9,V8), pppp8-{F}(V6,V9,V1,V10,V11) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1661: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1654 ), references = 1, size of lhs = 8:
% 16.95/17.12 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_unordered_pair-{F}(V1,V3,V4), pppp1-{F}(V5,V6), pppp8-{F}(V2,V4,V5,V7,V8), in-{F}(V9,V10), pppp11-{F}(V6,V10,V9), P_ordered_pair-{F}(V9,V11,V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1791: mergings( V3 == V4; #1787 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp11-{F}(V1,V3,V2), pppp3-{F}(V4,V3), pppp8-{F}(V5,V2,V4,V6,V7) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1794: mergings( V3 == V4, V4 == V5; #1788 ), references = 1, size of lhs = 9:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp11-{F}(V3,V2,V4), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), pppp14-{F}(V3,V7,V6), P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), pppp8-{F}(V10,V4,V1,V11,V12) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1798: mergings( V5 == V6; #1795 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp11-{F}(V1,V3,V2), pppp3-{F}(V4,V3), pppp9-{F}(V4,V5,V6,V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1801: mergings( V3 == V4; #1799 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), pppp11-{F}(V3,V2,V4), pppp11-{F}(V3,V5,V4), pppp9-{F}(V1,V6,V7,V4) | in-{T}(V4,V5)
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1880: mergings( V3 == V4, V8 == V6, V7 == V9, V5 == V10; #1875 ), references = 2, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V3,V4), pppp8-{F}(V5,V1,V3,V4,V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1883: mergings( V5 == V6; #1881 ), references = 2, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp9-{F}(V1,V2,V3,V4), in-{F}(V4,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1949: mergings( V3 == V4, V4 == V5, V6 == V8, V7 == V11, V9 == V12, V10 == V0; #1940 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V3), pppp8-{F}(V4,V5,V1,V2,V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1952: mergings( V3 == V4, V4 == V5; #1941 ), references = 1, size of lhs = 5:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V3,V4), pppp9-{F}(V1,V2,V4,V5), pppp8-{F}(V6,V5,V3,V7,V8) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1962: mergings( V5 == V6, V6 == V7; #1957 ), references = 1, size of lhs = 4:
% 16.95/17.12 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V3), pppp9-{F}(V1,V2,V3,V4) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1971: mergings( V4 == V5, V5 == V6; #1966 ), references = 1, size of lhs = 6:
% 16.95/17.12 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), pppp1-{F}(V0,V1), P_relation_rng-{F}(V0,V2), pppp3-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1989: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V4 == V5; #1981 ), references = 1, size of lhs = 3:
% 16.95/17.12 pppp10-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #1997: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1990 ), references = 1, size of lhs = 2:
% 16.95/17.12 pppp10-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #2006: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1998 ), references = 1, size of lhs = 1:
% 16.95/17.12 P_empty_set-{F}(V0) | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 #2010: exists( #49, #1998 ), references = 1, size of lhs = 0:
% 16.95/17.12 FALSE | FALSE
% 16.95/17.12 (used 0 times, uses = {})
% 16.95/17.12
% 16.95/17.12 number of learnt formulas = 96
% 16.95/17.12
% 16.95/17.12
% 16.95/17.12 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.95/17.12
% 16.95/17.12 randbase = 1
%------------------------------------------------------------------------------