TSTP Solution File: SEU212+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:17:29 EDT 2022
% Result : Theorem 273.79s 273.94s
% Output : Refutation 273.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 19:06:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 273.79/273.94 GeoParameters:
% 273.79/273.94
% 273.79/273.94 tptp_input = 1
% 273.79/273.94 tptp_output = 0
% 273.79/273.94 nonempty = 1
% 273.79/273.94 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 273.79/273.94 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 273.79/273.94
% 273.79/273.94
% 273.79/273.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 273.79/273.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 273.79/273.94
% 273.79/273.94 RuleSystem INPUT:
% 273.79/273.94
% 273.79/273.94 Initial Rules:
% 273.79/273.94 #0: input, references = 18, size of lhs = 2:
% 273.79/273.94 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1: input, references = 3, size of lhs = 1:
% 273.79/273.94 empty-{F}(V0) | function-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2: input, references = 3, size of lhs = 1:
% 273.79/273.94 empty-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3: input, references = 4, size of lhs = 3:
% 273.79/273.94 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #4: input, references = 11, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V5,V6), in-{F}(V3,V2) | in-{T}(V6,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #5: input, references = 17, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V4,V6), in-{F}(V3,V2), in-{F}(V6,V1), V4 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #6: input, references = 6, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V5,V6), V5 == V0 | in-{T}(V3,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #7: input, references = 17, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_apply-{F}(V1,V3,V5), P_ordered_pair-{F}(V3,V0,V6), V0 == V5 | in-{T}(V3,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #8: input, references = 7, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1) | pppp1-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #9: input, references = 3, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), pppp1-{F}(V1,V3), V3 == V2 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #10: input, references = 9, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V2) | pppp0-{T}(V1,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #11: input, references = 57, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V1,V3) | in-{T}(V3,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #12: input, references = 17, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp15-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #13: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp15-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #14: input, references = 12, size of lhs = 3:
% 273.79/273.94 pppp3-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #15: input, references = 10, size of lhs = 1:
% 273.79/273.94 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #16: input, references = 4, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V1,V2,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #17: input, references = 37, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | pppp0-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #18: input, references = 13, size of lhs = 2:
% 273.79/273.94 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #19: input, references = 5, size of lhs = 6:
% 273.79/273.94 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
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #20: input, references = 3, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp5-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #21: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #22: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | empty-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #23: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #24: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #25: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | empty-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #26: input, references = 3, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #27: input, references = 3, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #28: input, references = 3, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #29: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | empty-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #30: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #31: input, references = 3, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #32: input, references = 5, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #33: input, references = 3, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #34: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #35: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp6-{F}(V0) | function-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #36: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp6-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #37: input, references = 4, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #38: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp7-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #39: input, references = 5, size of lhs = 1:
% 273.79/273.94 pppp7-{F}(V0) | empty-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #40: input, references = 4, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #41: input, references = 5, size of lhs = 1:
% 273.79/273.94 pppp8-{F}(V0) | empty-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #42: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #43: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp9-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #44: input, references = 3, size of lhs = 2:
% 273.79/273.94 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #45: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #46: input, references = 3, size of lhs = 2:
% 273.79/273.94 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #47: input, references = 3, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #48: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #49: input, references = 3, size of lhs = 1:
% 273.79/273.94 pppp11-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #50: input, references = 3, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #51: input, references = 7, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #52: input, references = 6, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #53: input, references = 6, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #54: input, references = 6, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #55: input, references = 4, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #56: input, references = 4, size of lhs = 1:
% 273.79/273.94 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #57: input, references = 4, size of lhs = 1:
% 273.79/273.94 pppp14-{F}(V0) | function-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #58: input, references = 4, size of lhs = 1:
% 273.79/273.94 pppp14-{F}(V0) | relation-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #59: input, references = 5, size of lhs = 1:
% 273.79/273.94 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #60: input, references = 5, size of lhs = 4:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #61: input, references = 6, size of lhs = 2:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V3) | in-{T}(V3,V2), pppp2-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #62: input, references = 6, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), pppp2-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #63: input, references = 4, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), pppp2-{F}(V1,V2,V3), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #64: input, references = 5, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), in-{F}(V1,V4) | pppp2-{T}(V1,V5,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #65: input, references = 10, size of lhs = 2:
% 273.79/273.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #66: input, references = 6, size of lhs = 1:
% 273.79/273.94 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #67: input, references = 15, size of lhs = 2:
% 273.79/273.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #68: input, references = 29, size of lhs = 2:
% 273.79/273.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #69: input, references = 4, size of lhs = 0:
% 273.79/273.94 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #70: input, references = 4, size of lhs = 1:
% 273.79/273.94 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 number of initial rules = 71
% 273.79/273.94
% 273.79/273.94 Simplifiers:
% 273.79/273.94 #71: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #72: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #73: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #74: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #75: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #76: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #77: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #78: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #79: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #80: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #81: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #82: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #83: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #84: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #85: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #86: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #87: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V2), V1 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #88: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #89: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #90: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #91: unsound, references = 3, size of lhs = 3:
% 273.79/273.94 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 number of simplifiers = 21
% 273.79/273.94
% 273.79/273.94 Learnt:
% 273.79/273.94 #103: mergings( V0 == V2; #100 ), references = 1, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #105: mergings( V0 == V2; #101 ), references = 1, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #107: exists( #68, #19 ), references = 23, size of lhs = 4:
% 273.79/273.94 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)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #120: mergings( V0 == V2; #117 ), references = 1, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #122: mergings( V0 == V2; #118 ), references = 1, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #135: mergings( V2 == V3; #132 ), references = 1, size of lhs = 2:
% 273.79/273.94 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #137: mergings( V2 == V3; #133 ), references = 1, size of lhs = 3:
% 273.79/273.94 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #157: exists( #65, #3 ), references = 25, size of lhs = 1:
% 273.79/273.94 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #162: exists( #68, #158 ), references = 1, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V2,V3), V0 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #164: mergings( V1 == V5; #161 ), references = 1, size of lhs = 7:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_apply-{F}(V0,V3,V4), V2 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #167: exists( #67, #160 ), references = 1, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2) | P_apply-{T}(V1,V2,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #169: mergings( V3 == V5; #166 ), references = 1, size of lhs = 6:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), #-{F} V3 | P_apply-{T}(V0,V3,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #174: mergings( V0 == V3; #172 ), references = 1, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp15-{T}(V1,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #178: exists( #65, #176 ), references = 21, size of lhs = 4:
% 273.79/273.94 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}(V2,V5,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #202: mergings( V1 == V5, V5 == V6; #199 ), references = 1, size of lhs = 8:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3), P_ordered_pair-{F}(V3,V4,V5), P_apply-{F}(V0,V5,V6), V2 == V6 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #206: mergings( V3 == V5, V5 == V6; #203 ), references = 1, size of lhs = 6:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), pppp1-{F}(V1,V3), P_ordered_pair-{F}(V3,V4,V5) | P_apply-{T}(V0,V5,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #213: mergings( V3 == V4; #210 ), references = 1, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp3-{F}(V2,V3,V4) | in-{T}(V4,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #226: mergings( V0 == V3, V3 == V4; #222 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V3) | pppp15-{T}(V2,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #229: mergings( V0 == V3, V3 == V4; #223 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V1), function-{F}(V1), pppp0-{F}(V2,V3), P_apply-{F}(V1,V3,V4), P_ordered_pair-{F}(V3,V5,V3), V5 == V4 | pppp15-{T}(V2,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #267: mergings( V8 == V13, V3 == V4, V4 == V5, V5 == V6; #262 ), references = 8, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V5,V2), P_apply-{F}(V1,V3,V6), P_unordered_pair-{F}(V3,V6,V7), P_unordered_pair-{F}(V5,V8,V7), P_apply-{F}(V1,V5,V9), V8 == V9 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #275: mergings( V4 == V9, V3 == V5, V5 == V6, V6 == V7, V7 == V8; #269 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_ordered_pair-{F}(V5,V0,V6), P_apply-{F}(V1,V3,V7), P_unordered_pair-{F}(V3,V7,V8), P_unordered_pair-{F}(V5,V9,V8) | P_apply-{T}(V1,V5,V0), P_apply-{T}(V1,V5,V9)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #305: mergings( V10 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #297 ), references = 7, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_apply-{F}(V1,V3,V6), P_unordered_pair-{F}(V3,V6,V7), P_unordered_pair-{F}(V5,V8,V7), P_apply-{F}(V1,V5,V9), V8 == V9 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #312: mergings( V3 == V4, V4 == V5, V5 == V12, V12 == V13, V13 == V14, V9 == V18; #298 ), references = 4, size of lhs = 21:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_singleton-{F}(V2,V3), P_apply-{F}(V0,V2,V4), P_unordered_pair-{F}(V2,V4,V5), P_empty_set-{F}(V6), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V8), pppp1-{F}(V0,V8), in-{F}(V9,V8), P_singleton-{F}(V9,V3), P_singleton-{F}(V10,V3), P_unordered_pair-{F}(V10,V11,V5), P_apply-{F}(V7,V9,V12), P_unordered_pair-{F}(V9,V12,V13), P_unordered_pair-{F}(V10,V14,V13), P_apply-{F}(V7,V10,V15), V14 == V15 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #329: mergings( V6 == V7, V7 == V21, V21 == V27, V0 == V1, V1 == V2, V2 == V3, V3 == V4, V4 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V9 == V23; #313 ), references = 1, size of lhs = 18:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), P_unordered_pair-{F}(V3,V5,V6), in-{F}(V7,V2), P_singleton-{F}(V7,V4), P_singleton-{F}(V8,V4), P_ordered_pair-{F}(V8,V0,V9), P_unordered_pair-{F}(V8,V10,V6), P_apply-{F}(V1,V7,V11), P_unordered_pair-{F}(V7,V11,V12), P_unordered_pair-{F}(V8,V13,V12), V13 == V0 | P_apply-{T}(V1,V8,V10)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #344: mergings( V7 == V6, V6 == V28, V0 == V1, V1 == V2, V2 == V3, V3 == V4, V4 == V15, V15 == V16, V16 == V17, V17 == V25, V25 == V26, V26 == V27, V21 == V9, V9 == V30; #314 ), references = 1, size of lhs = 26:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), in-{F}(V4,V5), pppp1-{F}(V0,V5), P_apply-{F}(V0,V2,V6), P_unordered_pair-{F}(V2,V6,V7), P_empty_set-{F}(V8), relation-{F}(V9), function-{F}(V9), P_relation_dom-{F}(V9,V5), P_apply-{F}(V9,V4,V10), P_unordered_pair-{F}(V4,V10,V11), in-{F}(V12,V5), P_singleton-{F}(V12,V3), P_singleton-{F}(V13,V3), P_ordered_pair-{F}(V13,V8,V14), P_unordered_pair-{F}(V13,V15,V7), P_unordered_pair-{F}(V13,V16,V11), P_apply-{F}(V9,V12,V17), P_unordered_pair-{F}(V12,V17,V18), P_unordered_pair-{F}(V13,V19,V18), V19 == V8 | P_apply-{T}(V9,V13,V16)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #353: mergings( V0 == V3; #350 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2) | pppp15-{T}(V1,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #362: disj( #51, input ), references = 1, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #374: mergings( V0 == V3; #372 ), references = 1, size of lhs = 2:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | pppp15-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #410: exists( #67, #408 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp3-{F}(V3,V2,V4), pppp0-{F}(V3,V4), P_ordered_pair-{F}(V4,V0,V5) | P_apply-{T}(V1,V4,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #418: exists( #67, #5 ), references = 4, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4) | P_apply-{T}(V1,V3,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #441: mergings( V3 == V5; #439 ), references = 1, size of lhs = 8:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), P_ordered_pair-{F}(V3,V2,V4), P_ordered_pair-{F}(V5,V6,V3), in-{F}(V5,V7), pppp3-{F}(V1,V7,V5) | P_apply-{T}(V0,V3,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #449: disj( #51, input ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V2,V1) | empty-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #452: mergings( V6 == V9, V0 == V3; #447 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), element-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V3,V7,V6), V7 == V5 | empty-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #454: mergings( V0 == V3; #448 ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), element-{F}(V3,V2), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_apply-{F}(V1,V3,V6), P_unordered_pair-{F}(V3,V6,V7), P_unordered_pair-{F}(V5,V8,V7), P_apply-{F}(V1,V5,V9), V8 == V9 | empty-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #480: mergings( V0 == V3; #476 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), element-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V1,V3), P_ordered_pair-{F}(V1,V3,V2) | empty-{T}(V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #484: mergings( V10 == V13, V0 == V3, V3 == V7; #477 ), references = 1, size of lhs = 15:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), element-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V0), P_singleton-{F}(V4,V7), P_apply-{F}(V6,V4,V8), P_unordered_pair-{F}(V4,V8,V9), P_unordered_pair-{F}(V4,V10,V9), V10 == V8 | empty-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #487: mergings( V0 == V3, V3 == V7; #478 ), references = 1, size of lhs = 18:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), element-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_empty_set-{F}(V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V0), pppp1-{F}(V6,V0), P_singleton-{F}(V4,V7), P_singleton-{F}(V8,V7), P_apply-{F}(V6,V4,V9), P_unordered_pair-{F}(V4,V9,V10), P_unordered_pair-{F}(V8,V11,V10), P_apply-{F}(V6,V8,V12), V11 == V12 | empty-{T}(V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #516: mergings( V0 == V3; #512 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #519: mergings( V0 == V3, V2 == V3; #513 ), references = 1, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #522: mergings( V0 == V3, V2 == V3; #514 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), element-{F}(V1,V0), P_singleton-{F}(V2,V0) | in-{T}(V1,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #535: exists( #68, #531 ), references = 3, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), V0 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #578: mergings( V2 == V3, V3 == V4, V4 == V5; #573 ), references = 10, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3), in-{F}(V5,V1), P_ordered_pair-{F}(V2,V6,V5), V6 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #582: mergings( V2 == V3, V3 == V4, V4 == V5; #572 ), references = 6, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_singleton-{F}(V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V2,V5,V4), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V2,V7,V6), V7 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #586: mergings( V2 == V3, V3 == V4, V4 == V5; #574 ), references = 3, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_singleton-{F}(V2,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V2,V5,V4), P_unordered_pair-{F}(V2,V5,V6), P_unordered_pair-{F}(V2,V7,V6), V7 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #601: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #593 ), references = 1, size of lhs = 12:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_apply-{F}(V0,V3,V4), V2 == V4, P_ordered_pair-{F}(V5,V6,V3), P_ordered_pair-{F}(V5,V7,V3), P_ordered_pair-{F}(V5,V8,V3), V8 == V7 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #607: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #594 ), references = 1, size of lhs = 14:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_singleton-{F}(V3,V4), P_ordered_pair-{F}(V3,V5,V6), P_apply-{F}(V0,V6,V7), V2 == V7, P_ordered_pair-{F}(V3,V8,V6), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V3,V10,V9), V10 == V8 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #613: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #595 ), references = 1, size of lhs = 14:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_singleton-{F}(V3,V4), P_ordered_pair-{F}(V3,V5,V6), P_apply-{F}(V0,V6,V7), V2 == V7, P_ordered_pair-{F}(V3,V8,V6), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V3,V10,V9), V10 == V8 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #686: exists( #68, #683 ), references = 2, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp4-{F}(V1,V3,V5), V5 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #689: mergings( V0 == V4; #687 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), P_apply-{F}(V1,V2,V4) | pppp4-{T}(V1,V2,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #740: mergings( V3 == V4, V4 == V5, V5 == V6; #734 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp1-{F}(V4,V3), pppp4-{F}(V4,V1,V5), P_unordered_pair-{F}(V1,V5,V6), P_unordered_pair-{F}(V3,V7,V6) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #745: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #735 ), references = 5, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V1), in-{F}(V4,V1), P_ordered_pair-{F}(V2,V5,V4), pppp4-{F}(V3,V6,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V7,V9), P_singleton-{F}(V10,V8), P_ordered_pair-{F}(V2,V11,V10), V5 == V11, P_unordered_pair-{F}(V10,V12,V9) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #750: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #736 ), references = 1, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp1-{F}(V5,V1), pppp4-{F}(V5,V6,V7), P_singleton-{F}(V6,V8), P_unordered_pair-{F}(V6,V7,V9), P_singleton-{F}(V10,V8), P_ordered_pair-{F}(V3,V11,V10), V11 == V4, P_unordered_pair-{F}(V10,V12,V9) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #760: mergings( V3 == V4, V4 == V5, V5 == V6; #754 ), references = 1, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp1-{F}(V4,V3), pppp4-{F}(V4,V1,V3) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #765: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #755 ), references = 1, size of lhs = 12:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V1), in-{F}(V4,V1), P_ordered_pair-{F}(V2,V5,V4), pppp4-{F}(V3,V6,V7), P_singleton-{F}(V6,V8), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V2,V9,V7), V5 == V9 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #770: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #756 ), references = 1, size of lhs = 12:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp1-{F}(V5,V1), pppp4-{F}(V5,V6,V7), P_singleton-{F}(V6,V8), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V3,V9,V7), V9 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #772: exists( #67, #535 ), references = 1, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3) | P_apply-{T}(V1,V3,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #808: mergings( V3 == V5; #804 ), references = 3, size of lhs = 12:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), pppp0-{F}(V1,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4), P_ordered_pair-{F}(V3,V6,V7), V5 == V6, P_ordered_pair-{F}(V7,V2,V8) | P_apply-{T}(V0,V7,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #810: mergings( V3 == V5; #805 ), references = 1, size of lhs = 17:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), pppp0-{F}(V1,V3), pppp1-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V6), P_ordered_pair-{F}(V6,V2,V7), pppp4-{F}(V4,V8,V9), P_singleton-{F}(V8,V10), P_unordered_pair-{F}(V8,V9,V11), P_singleton-{F}(V12,V10), P_ordered_pair-{F}(V3,V13,V12), V5 == V13, P_unordered_pair-{F}(V12,V14,V11) | P_apply-{T}(V0,V6,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #812: mergings( V3 == V5; #806 ), references = 1, size of lhs = 12:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V1,V3), in-{F}(V4,V3), P_apply-{F}(V1,V4,V5), P_ordered_pair-{F}(V4,V6,V7), V6 == V5, P_ordered_pair-{F}(V7,V2,V8) | P_apply-{T}(V0,V7,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #820: mergings( V0 == V2, V2 == V3, V3 == V4; #816 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), P_ordered_pair-{F}(V1,V3,V2) | pppp15-{T}(V1,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #855: exists( #65, #851 ), references = 2, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), in-{F}(V3,V2), P_singleton-{F}(V3,V4), P_apply-{F}(V1,V3,V5), P_singleton-{F}(V5,V4), P_apply-{F}(V1,V5,V6), V3 == V6 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #856: exists( #65, #852 ), references = 2, size of lhs = 16:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_apply-{F}(V5,V2,V3), P_relation_dom-{F}(V5,V6), pppp1-{F}(V0,V6), in-{F}(V2,V6), P_singleton-{F}(V2,V7), P_singleton-{F}(V3,V7), P_apply-{F}(V5,V3,V8), V2 == V8 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #862: disj( #15, input ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), empty-{F}(V1), pppp3-{F}(V2,V1,V3) | pppp0-{T}(V2,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #863: disj( #15, input ), references = 5, size of lhs = 2:
% 273.79/273.94 in-{F}(V0,V1), pppp3-{F}(V2,V0,V1) | pppp0-{T}(V2,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #955: mergings( V15 == V18, V3 == V4, V4 == V5, V5 == V8, V10 == V14; #947 ), references = 1, size of lhs = 17:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_apply-{F}(V0,V6,V7), V7 == V2, P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), P_apply-{F}(V3,V6,V10), P_unordered_pair-{F}(V6,V10,V11), P_unordered_pair-{F}(V6,V12,V11), V12 == V10 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #960: mergings( V3 == V4, V4 == V5, V5 == V8, V10 == V14; #948 ), references = 2, size of lhs = 20:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), pppp1-{F}(V3,V1), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_apply-{F}(V0,V6,V7), V7 == V2, P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), P_singleton-{F}(V10,V5), P_apply-{F}(V3,V6,V11), P_unordered_pair-{F}(V6,V11,V12), P_unordered_pair-{F}(V10,V13,V12), P_apply-{F}(V3,V10,V14), V13 == V14 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #965: mergings( V3 == V4, V4 == V5, V5 == V9, V11 == V17; #949 ), references = 2, size of lhs = 26:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), pppp1-{F}(V2,V1), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V1), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_apply-{F}(V0,V7,V8), V8 == V3, P_unordered_pair-{F}(V7,V8,V9), P_unordered_pair-{F}(V5,V10,V9), P_apply-{F}(V2,V7,V11), P_unordered_pair-{F}(V7,V11,V12), P_singleton-{F}(V13,V6), P_unordered_pair-{F}(V13,V14,V12), P_apply-{F}(V4,V7,V15), P_unordered_pair-{F}(V7,V15,V16), P_unordered_pair-{F}(V13,V17,V16), P_apply-{F}(V4,V13,V18), V17 == V18 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #980: mergings( V3 == V6, V1 == V7; #976 ), references = 1, size of lhs = 26:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V0), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V0), pppp1-{F}(V4,V0), in-{F}(V5,V0), P_ordered_pair-{F}(V1,V6,V5), P_ordered_pair-{F}(V1,V7,V8), V6 == V7, P_singleton-{F}(V8,V9), P_singleton-{F}(V10,V9), P_singleton-{F}(V11,V9), P_apply-{F}(V2,V11,V12), V12 == V3, P_unordered_pair-{F}(V11,V12,V13), P_unordered_pair-{F}(V10,V14,V13), P_apply-{F}(V4,V11,V15), P_unordered_pair-{F}(V11,V15,V16), P_unordered_pair-{F}(V8,V17,V16), V17 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #983: mergings( V3 == V6, V1 == V8; #977 ), references = 1, size of lhs = 32:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V0), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V0), pppp1-{F}(V3,V0), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V0), in-{F}(V6,V0), P_ordered_pair-{F}(V1,V7,V6), P_ordered_pair-{F}(V1,V8,V9), V7 == V8, P_singleton-{F}(V9,V10), P_singleton-{F}(V11,V10), P_singleton-{F}(V12,V10), P_apply-{F}(V2,V12,V13), V13 == V4, P_unordered_pair-{F}(V12,V13,V14), P_unordered_pair-{F}(V11,V15,V14), P_apply-{F}(V3,V12,V16), P_unordered_pair-{F}(V12,V16,V17), P_unordered_pair-{F}(V9,V18,V17), P_apply-{F}(V5,V12,V19), P_unordered_pair-{F}(V12,V19,V20), P_unordered_pair-{F}(V9,V21,V20), V21 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #991: mergings( V4 == V8, V3 == V5, V5 == V9; #986 ), references = 2, size of lhs = 21:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V0), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V0), pppp1-{F}(V4,V0), in-{F}(V5,V0), P_ordered_pair-{F}(V1,V6,V5), P_singleton-{F}(V7,V8), P_ordered_pair-{F}(V1,V9,V8), V6 == V9, P_singleton-{F}(V8,V10), P_apply-{F}(V2,V8,V11), V11 == V3, P_apply-{F}(V4,V8,V11), P_unordered_pair-{F}(V7,V12,V11) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #995: mergings( V4 == V8, V3 == V5, V5 == V10; #987 ), references = 1, size of lhs = 25:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V0), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V0), pppp1-{F}(V3,V0), P_empty_set-{F}(V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V0), in-{F}(V6,V0), P_ordered_pair-{F}(V1,V7,V6), P_singleton-{F}(V8,V9), P_ordered_pair-{F}(V1,V10,V9), V7 == V10, P_singleton-{F}(V9,V11), P_apply-{F}(V2,V9,V12), V12 == V4, P_apply-{F}(V3,V9,V12), P_apply-{F}(V5,V9,V12), P_unordered_pair-{F}(V8,V13,V12) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1039: mergings( V0 == V3, V3 == V4; #1035 ), references = 1, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3) | pppp15-{T}(V1,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1042: mergings( V0 == V3, V3 == V4; #1036 ), references = 1, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V3,V2,V4), pppp0-{F}(V3,V4), in-{F}(V4,V5) | pppp15-{T}(V1,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1100: mergings( V0 == V3; #1098 ), references = 1, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp0-{F}(V3,V2), pppp3-{F}(V3,V4,V2) | pppp15-{T}(V1,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1189: disj( #15, input ), references = 1, size of lhs = 1:
% 273.79/273.94 pppp3-{F}(V0,V1,V1) | pppp0-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1190: disj( #15, input ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp3-{F}(V5,V1,V6), P_ordered_pair-{F}(V3,V7,V6), V7 == V4 | pppp0-{T}(V5,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1191: disj( #15, mergings( V2 == V3, V3 == V4, V4 == V5; #573 ) ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3), pppp3-{F}(V5,V1,V6), P_ordered_pair-{F}(V2,V7,V6), V4 == V7 | pppp0-{T}(V5,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1253: mergings( V0 == V3, V3 == V4; #1248 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3), pppp0-{F}(V5,V6), P_ordered_pair-{F}(V2,V7,V6), V4 == V7 | pppp15-{T}(V5,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1256: mergings( V0 == V3, V3 == V4; #1249 ), references = 1, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V1), pppp0-{F}(V4,V5), P_ordered_pair-{F}(V2,V6,V5), pppp4-{F}(V3,V7,V8), P_singleton-{F}(V7,V9), P_unordered_pair-{F}(V7,V8,V10), P_singleton-{F}(V11,V9), P_ordered_pair-{F}(V2,V12,V11), V6 == V12, P_unordered_pair-{F}(V11,V13,V10) | pppp15-{T}(V4,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1259: mergings( V0 == V3, V3 == V7; #1250 ), references = 1, size of lhs = 21:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V0), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V0), pppp1-{F}(V4,V0), pppp0-{F}(V5,V6), P_ordered_pair-{F}(V1,V7,V6), P_singleton-{F}(V8,V9), P_ordered_pair-{F}(V1,V10,V9), V7 == V10, P_singleton-{F}(V9,V11), P_apply-{F}(V2,V9,V12), V12 == V3, P_apply-{F}(V4,V9,V12), P_unordered_pair-{F}(V8,V13,V12) | pppp15-{T}(V5,V0)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1299: mergings( V6 == V9; #1295 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp3-{F}(V3,V2,V4), P_singleton-{F}(V4,V5), P_apply-{F}(V1,V4,V6), P_unordered_pair-{F}(V4,V6,V7), P_unordered_pair-{F}(V4,V8,V7), V8 == V6 | pppp0-{T}(V3,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1300: disj( #15, mergings( V10 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #297 ) ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp3-{F}(V3,V2,V4), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_apply-{F}(V1,V4,V7), P_unordered_pair-{F}(V4,V7,V8), P_unordered_pair-{F}(V6,V9,V8), P_apply-{F}(V1,V6,V10), V9 == V10 | pppp0-{T}(V3,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1301: disj( #15, mergings( V3 == V4, V4 == V5, V5 == V12, V12 == V13, V13 == V14, V9 == V18; #298 ) ), references = 1, size of lhs = 19:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), pppp1-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), pppp3-{F}(V4,V1,V5), P_apply-{F}(V0,V5,V6), P_unordered_pair-{F}(V5,V6,V7), P_singleton-{F}(V5,V8), P_singleton-{F}(V9,V8), P_unordered_pair-{F}(V9,V10,V7), P_apply-{F}(V3,V5,V11), P_unordered_pair-{F}(V5,V11,V12), P_unordered_pair-{F}(V9,V13,V12), P_apply-{F}(V3,V9,V14), V13 == V14 | pppp0-{T}(V4,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1362: disj( #61, input ), references = 10, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5), P_apply-{F}(V1,V3,V6), V4 == V6 | in-{T}(V5,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1418: mergings( V3 == V4; #1415 ), references = 4, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp0-{F}(V1,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4), pppp12-{F}(V6,V7,V1), P_ordered_pair-{F}(V6,V7,V8), P_ordered_pair-{F}(V3,V9,V8), V5 == V9 | P_apply-{T}(V1,V6,V7)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1420: mergings( V3 == V4; #1416 ), references = 1, size of lhs = 16:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp0-{F}(V1,V3), pppp1-{F}(V4,V1), pppp12-{F}(V5,V6,V1), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V3,V8,V7), pppp4-{F}(V4,V9,V10), P_singleton-{F}(V9,V11), P_unordered_pair-{F}(V9,V10,V12), P_singleton-{F}(V13,V11), P_ordered_pair-{F}(V3,V14,V13), V8 == V14, P_unordered_pair-{F}(V13,V15,V12) | P_apply-{T}(V1,V5,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1440: mergings( V3 == V4; #1436 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp0-{F}(V1,V3), pppp12-{F}(V4,V5,V1), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V3,V7,V6), P_ordered_pair-{F}(V3,V8,V6), V8 == V7 | P_apply-{T}(V1,V4,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1442: mergings( V3 == V4; #1438 ), references = 1, size of lhs = 12:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp0-{F}(V1,V3), P_singleton-{F}(V3,V4), pppp12-{F}(V5,V6,V1), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V3,V8,V7), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V3,V10,V9), V10 == V8 | P_apply-{T}(V1,V5,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1465: mergings( V13 == V15, V9 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V14; #1455 ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V4,V6), P_unordered_pair-{F}(V2,V7,V6), V4 == V7, P_unordered_pair-{F}(V2,V8,V6), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1473: mergings( V13 == V15, V9 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V14; #1456 ), references = 1, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), pppp1-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V4,V6), P_unordered_pair-{F}(V2,V7,V6), V4 == V7, P_unordered_pair-{F}(V2,V8,V6), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1483: mergings( V13 == V14, V14 == V18, V9 == V11, V11 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V16; #1457 ), references = 1, size of lhs = 15:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp12-{F}(V2,V3,V1), P_relation_dom-{F}(V1,V4), pppp1-{F}(V1,V4), in-{F}(V2,V4), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V3,V6), P_unordered_pair-{F}(V2,V7,V6), V3 == V7, P_unordered_pair-{F}(V2,V8,V6), P_unordered_pair-{F}(V2,V9,V6), V9 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1494: mergings( V14 == V17, V9 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V11 == V16; #1484 ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V4,V6), P_unordered_pair-{F}(V2,V7,V6), V4 == V7, P_unordered_pair-{F}(V2,V8,V6), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1502: mergings( V14 == V17, V9 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V11 == V16; #1485 ), references = 1, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), pppp1-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V4,V6), P_unordered_pair-{F}(V2,V7,V6), V4 == V7, P_unordered_pair-{F}(V2,V8,V6), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1512: mergings( V14 == V16, V16 == V20, V9 == V12, V12 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V11 == V18; #1486 ), references = 1, size of lhs = 15:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), pppp12-{F}(V2,V3,V1), P_relation_dom-{F}(V1,V4), pppp1-{F}(V1,V4), in-{F}(V2,V4), P_singleton-{F}(V2,V5), P_unordered_pair-{F}(V2,V3,V6), P_unordered_pair-{F}(V2,V7,V6), V3 == V7, P_unordered_pair-{F}(V2,V8,V6), P_unordered_pair-{F}(V2,V9,V6), V9 == V3 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1532: mergings( V5 == V7, V3 == V6; #1527 ), references = 1, size of lhs = 11:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), pppp12-{F}(V1,V4,V0), pppp2-{F}(V1,V5,V0), V5 == V4, in-{F}(V6,V0), P_ordered_pair-{F}(V1,V7,V6), V7 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1535: mergings( V6 == V7, V3 == V4; #1528 ), references = 1, size of lhs = 12:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), pppp4-{F}(V1,V2,V5), V5 == V4, in-{F}(V6,V1), P_ordered_pair-{F}(V2,V7,V6), V7 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1538: mergings( V6 == V7, V3 == V4; #1529 ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), P_relation_dom-{F}(V1,V3), in-{F}(V2,V3), pppp12-{F}(V2,V4,V1), in-{F}(V5,V1), P_ordered_pair-{F}(V2,V6,V5), V6 == V4, in-{F}(V7,V1), P_ordered_pair-{F}(V2,V8,V7), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1570: mergings( V5 == V6, V3 == V4; #1567 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp12-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5), P_ordered_pair-{F}(V3,V6,V5) | P_apply-{T}(V1,V3,V4), P_apply-{T}(V1,V3,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1581: mergings( V3 == V4, V4 == V11, V11 == V12, V7 == V13, V0 == V1, V1 == V9, V9 == V10; #1573 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp12-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5), P_ordered_pair-{F}(V3,V6,V5) | P_apply-{T}(V1,V3,V6)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1596: mergings( V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1585 ), references = 5, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp12-{F}(V3,V4,V1) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1670: disj( #61, input ), references = 1, size of lhs = 2:
% 273.79/273.94 pppp12-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1671: disj( #61, input ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp12-{F}(V5,V6,V1), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V3,V8,V7), V8 == V4 | pppp2-{T}(V5,V6,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1672: disj( #61, mergings( V2 == V3, V3 == V4, V4 == V5; #573 ) ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V3,V1), P_ordered_pair-{F}(V2,V4,V3), pppp12-{F}(V5,V6,V1), P_ordered_pair-{F}(V5,V6,V7), P_ordered_pair-{F}(V2,V8,V7), V8 == V4 | pppp2-{T}(V5,V6,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1737: mergings( V1 == V6; #1733 ), references = 2, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), pppp12-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1742: mergings( V4 == V5, V2 == V6, V1 == V9, V9 == V8; #1734 ), references = 5, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V3,V4), pppp12-{F}(V3,V4,V1), P_ordered_pair-{F}(V3,V4,V5) | in-{T}(V5,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1746: mergings( V10 == V13, V4 == V5, V1 == V8; #1735 ), references = 1, size of lhs = 13:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V4,V5), pppp12-{F}(V4,V5,V3), P_ordered_pair-{F}(V4,V5,V6), P_singleton-{F}(V4,V7), P_apply-{F}(V1,V4,V8), P_unordered_pair-{F}(V4,V8,V9), P_unordered_pair-{F}(V4,V10,V9), V10 == V8 | in-{T}(V6,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1842: mergings( V3 == V4, V4 == V5; #1837 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), pppp12-{F}(V3,V4,V1), pppp1-{F}(V1,V5), in-{F}(V5,V3) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1918: mergings( V3 == V5; #1915 ), references = 7, size of lhs = 9:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), P_ordered_pair-{F}(V4,V2,V5), pppp12-{F}(V4,V6,V3) | P_apply-{T}(V0,V4,V2)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1944: mergings( V8 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V12 == V7, V11 == V15; #1934 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V0,V1), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V0,V5), P_unordered_pair-{F}(V3,V6,V5), V6 == V0 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1955: mergings( V0 == V16, V7 == V12, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V1 == V15, V11 == V6, V10 == V14; #1932 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V0,V1), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V0,V5), P_unordered_pair-{F}(V3,V6,V5), V6 == V0 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #1966: mergings( V0 == V16, V7 == V12, V3 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V10, V1 == V15, V11 == V6, V10 == V14; #1933 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V0,V1), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V0,V5), P_unordered_pair-{F}(V3,V6,V5), V6 == V0 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2019: mergings( V4 == V7, V1 == V5, V5 == V8, V8 == V9, V9 == V10, V6 == V3, V10 == V13, V3 == V11, V7 == V12, V13 == V14; #2008 ), references = 1, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp12-{F}(V3,V0,V1) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2027: mergings( V3 == V5, V5 == V9, V1 == V4, V4 == V6, V6 == V7, V7 == V8; #2020 ), references = 2, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), pppp13-{F}(V1,V0), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2070: mergings( V0 == V2, V2 == V3, V3 == V4; #2066 ), references = 1, size of lhs = 4:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V1,V3), P_ordered_pair-{F}(V3,V4,V2) | pppp15-{T}(V1,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2097: mergings( V3 == V4, V4 == V5; #2092 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp4-{F}(V3,V1,V4), P_unordered_pair-{F}(V1,V4,V5), P_singleton-{F}(V6,V5), in-{F}(V6,V7), pppp3-{F}(V3,V7,V6), P_unordered_pair-{F}(V6,V8,V2) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2239: mergings( V3 == V4, V4 == V5; #2235 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), P_apply-{F}(V1,V3,V5), V4 == V5, P_singleton-{F}(V3,V6), P_unordered_pair-{F}(V3,V4,V7), P_unordered_pair-{F}(V3,V8,V7), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2242: mergings( V3 == V4, V4 == V5; #2236 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), P_apply-{F}(V1,V3,V5), V4 == V5, P_singleton-{F}(V3,V6), P_unordered_pair-{F}(V3,V4,V7), P_unordered_pair-{F}(V3,V8,V7), V8 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2253: mergings( V4 == V9, V1 == V5, V5 == V6, V6 == V7, V3 == V8, V10 == V11; #2245 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), V4 == V0, P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V3,V4,V6), P_unordered_pair-{F}(V3,V7,V6), V7 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2260: mergings( V4 == V9, V1 == V5, V5 == V6, V6 == V7, V3 == V8, V10 == V11; #2246 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), V4 == V0, P_singleton-{F}(V3,V5), P_unordered_pair-{F}(V3,V4,V6), P_unordered_pair-{F}(V3,V7,V6), V7 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2269: mergings( V4 == V9, V2 == V5, V5 == V6, V6 == V7, V3 == V8, V10 == V11; #2261 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), V4 == V0, P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V3,V6,V5), V6 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2276: mergings( V4 == V9, V2 == V5, V5 == V6, V6 == V7, V3 == V8, V10 == V11; #2262 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp12-{F}(V3,V4,V1), V4 == V0, P_unordered_pair-{F}(V3,V4,V5), P_unordered_pair-{F}(V3,V6,V5), V6 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2333: mergings( V0 == V3, V3 == V4, V4 == V5; #2329 ), references = 1, size of lhs = 6:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V4), P_ordered_pair-{F}(V5,V6,V3), in-{F}(V5,V7), pppp3-{F}(V2,V7,V5) | pppp15-{T}(V1,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2376: mergings( V0 == V3; #2374 ), references = 1, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), pppp3-{F}(V3,V2,V4), in-{F}(V4,V5), pppp3-{F}(V3,V5,V4) | pppp15-{T}(V1,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2407: mergings( V3 == V4, V4 == V5, V5 == V6; #2403 ), references = 2, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp1-{F}(V3,V4), in-{F}(V4,V5), P_singleton-{F}(V5,V6), P_unordered_pair-{F}(V5,V7,V2), pppp4-{F}(V3,V1,V8), P_unordered_pair-{F}(V1,V8,V6) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2430: mergings( V0 == V3, V3 == V4, V4 == V5; #2424 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V1,V3), in-{F}(V4,V3), P_apply-{F}(V1,V4,V5), P_ordered_pair-{F}(V4,V6,V7), V6 == V5, in-{F}(V7,V8) | pppp15-{T}(V2,V8)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2434: mergings( V0 == V3, V3 == V4, V4 == V5; #2425 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4), P_ordered_pair-{F}(V3,V6,V7), V5 == V6, in-{F}(V7,V8) | pppp15-{T}(V2,V8)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2438: mergings( V0 == V3, V3 == V4, V4 == V5; #2426 ), references = 1, size of lhs = 15:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), pppp1-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V6), in-{F}(V6,V7), pppp4-{F}(V4,V8,V9), P_singleton-{F}(V8,V10), P_unordered_pair-{F}(V8,V9,V11), P_singleton-{F}(V12,V10), P_ordered_pair-{F}(V3,V13,V12), V5 == V13, P_unordered_pair-{F}(V12,V14,V11) | pppp15-{T}(V2,V7)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2463: mergings( V0 == V3, V3 == V4, V4 == V5; #2457 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V1,V3), in-{F}(V4,V3), P_apply-{F}(V1,V4,V5), pppp0-{F}(V6,V7), pppp3-{F}(V2,V7,V8), P_ordered_pair-{F}(V4,V9,V8), V9 == V5 | pppp15-{T}(V6,V8)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2467: mergings( V0 == V3, V3 == V4, V4 == V5; #2458 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), in-{F}(V4,V1), P_ordered_pair-{F}(V3,V5,V4), pppp0-{F}(V6,V7), pppp3-{F}(V2,V7,V8), P_ordered_pair-{F}(V3,V9,V8), V9 == V5 | pppp15-{T}(V6,V8)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2471: mergings( V0 == V3, V3 == V4, V4 == V5; #2459 ), references = 1, size of lhs = 12:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), P_singleton-{F}(V3,V4), pppp0-{F}(V5,V6), pppp3-{F}(V2,V6,V7), P_ordered_pair-{F}(V3,V8,V7), P_unordered_pair-{F}(V3,V8,V9), P_unordered_pair-{F}(V3,V10,V9), V10 == V8 | pppp15-{T}(V5,V7)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2511: mergings( V3 == V4; #2507 ), references = 2, size of lhs = 5:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), pppp3-{F}(V4,V1,V5), P_ordered_pair-{F}(V3,V6,V5) | pppp0-{T}(V4,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2514: mergings( V3 == V4, V4 == V5; #2508 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_ordered_pair-{F}(V2,V3,V4), pppp3-{F}(V5,V6,V4), pppp1-{F}(V6,V7), P_apply-{F}(V1,V7,V8), V0 == V8 | pppp0-{T}(V5,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2517: mergings( V3 == V4, V4 == V5; #2509 ), references = 1, size of lhs = 10:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_ordered_pair-{F}(V2,V3,V4), pppp3-{F}(V5,V6,V4), pppp1-{F}(V6,V7), P_singleton-{F}(V7,V8), P_singleton-{F}(V9,V10), P_unordered_pair-{F}(V7,V11,V10), pppp4-{F}(V1,V9,V12), P_unordered_pair-{F}(V9,V12,V8) | pppp0-{T}(V5,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2573: mergings( V3 == V4, V4 == V5, V5 == V6; #2569 ), references = 1, size of lhs = 9:
% 273.79/273.94 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), pppp0-{F}(V3,V4), P_singleton-{F}(V4,V5), P_unordered_pair-{F}(V4,V6,V2), P_unordered_pair-{F}(V1,V7,V5), pppp4-{F}(V8,V1,V7), pppp1-{F}(V8,V9), pppp3-{F}(V3,V9,V4) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2649: disj( #15, #11+#0 ), references = 2, size of lhs = 3:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V1,V3,V2) | in-{T}(V2,V3)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2652: mergings( V8 == V11, V3 == V4; #2647 ), references = 1, size of lhs = 11:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V3,V2), pppp3-{F}(V3,V4,V5), P_singleton-{F}(V5,V6), P_apply-{F}(V1,V5,V7), P_unordered_pair-{F}(V5,V7,V8), P_unordered_pair-{F}(V5,V9,V8), V9 == V7 | in-{T}(V5,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2654: mergings( V3 == V4; #2648 ), references = 1, size of lhs = 14:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp1-{F}(V3,V2), pppp3-{F}(V3,V4,V5), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_apply-{F}(V1,V5,V8), P_unordered_pair-{F}(V5,V8,V9), P_unordered_pair-{F}(V7,V10,V9), P_apply-{F}(V1,V7,V11), V10 == V11 | in-{T}(V5,V4)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2896: disj( #15, input ), references = 4, size of lhs = 3:
% 273.79/273.94 pppp0-{F}(V0,V1), pppp3-{F}(V0,V2,V1), pppp3-{F}(V3,V2,V1) | pppp0-{T}(V3,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #2922: mergings( V0 == V3, V3 == V4, V4 == V5; #2918 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V3,V2), pppp3-{F}(V3,V4,V5), pppp3-{F}(V6,V4,V5), pppp3-{F}(V6,V1,V5), P_ordered_pair-{F}(V5,V7,V5) | pppp15-{T}(V3,V5)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3141: mergings( V4 == V7, V1 == V5; #3137 ), references = 1, size of lhs = 14:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V1), pppp1-{F}(V3,V1), in-{F}(V4,V1), V4 == V2, P_singleton-{F}(V4,V5), P_apply-{F}(V3,V4,V6), P_singleton-{F}(V6,V5), pppp12-{F}(V6,V7,V0) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3144: mergings( V4 == V11, V1 == V9; #3138 ), references = 1, size of lhs = 19:
% 273.79/273.94 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), pppp1-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3), in-{F}(V4,V1), P_apply-{F}(V2,V4,V5), pppp12-{F}(V5,V6,V0), P_empty_set-{F}(V7), V4 == V7, relation-{F}(V8), function-{F}(V8), P_apply-{F}(V8,V4,V5), P_relation_dom-{F}(V8,V1), P_singleton-{F}(V4,V9), P_singleton-{F}(V5,V9) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3288: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3279 ), references = 1, size of lhs = 18:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V1,V3), in-{F}(V4,V3), P_apply-{F}(V1,V4,V5), P_singleton-{F}(V6,V7), P_singleton-{F}(V8,V7), P_unordered_pair-{F}(V8,V9,V10), P_unordered_pair-{F}(V6,V11,V10), pppp4-{F}(V12,V6,V11), pppp1-{F}(V12,V13), pppp3-{F}(V2,V14,V15), pppp3-{F}(V13,V14,V15), P_ordered_pair-{F}(V4,V16,V15), V16 == V5, P_ordered_pair-{F}(V15,V17,V8) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3295: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3280 ), references = 1, size of lhs = 17:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V6,V7,V8), P_unordered_pair-{F}(V4,V9,V8), pppp4-{F}(V10,V4,V9), pppp1-{F}(V10,V11), pppp3-{F}(V2,V12,V13), pppp3-{F}(V11,V12,V13), P_ordered_pair-{F}(V3,V14,V13), P_ordered_pair-{F}(V3,V15,V13), V15 == V14, P_ordered_pair-{F}(V13,V16,V6) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3302: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3281 ), references = 1, size of lhs = 19:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V7,V8,V9), P_unordered_pair-{F}(V5,V10,V9), pppp4-{F}(V11,V5,V10), pppp1-{F}(V11,V12), pppp3-{F}(V2,V13,V14), pppp3-{F}(V12,V13,V14), P_ordered_pair-{F}(V3,V15,V14), P_unordered_pair-{F}(V3,V15,V16), P_unordered_pair-{F}(V3,V17,V16), V17 == V15, P_ordered_pair-{F}(V14,V18,V7) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3315: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3306 ), references = 1, size of lhs = 18:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V1,V3), in-{F}(V4,V3), P_apply-{F}(V1,V4,V5), P_singleton-{F}(V6,V7), P_singleton-{F}(V8,V7), P_unordered_pair-{F}(V9,V8,V10), P_unordered_pair-{F}(V6,V11,V10), pppp4-{F}(V12,V6,V11), pppp1-{F}(V12,V13), pppp3-{F}(V2,V14,V15), pppp3-{F}(V13,V14,V15), P_ordered_pair-{F}(V4,V16,V15), V16 == V5, P_ordered_pair-{F}(V15,V17,V8) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3322: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3307 ), references = 1, size of lhs = 17:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), P_singleton-{F}(V4,V5), P_singleton-{F}(V6,V5), P_unordered_pair-{F}(V7,V6,V8), P_unordered_pair-{F}(V4,V9,V8), pppp4-{F}(V10,V4,V9), pppp1-{F}(V10,V11), pppp3-{F}(V2,V12,V13), pppp3-{F}(V11,V12,V13), P_ordered_pair-{F}(V3,V14,V13), P_ordered_pair-{F}(V3,V15,V13), V15 == V14, P_ordered_pair-{F}(V13,V16,V6) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3329: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #3308 ), references = 1, size of lhs = 19:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V2,V1), pppp0-{F}(V1,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V6), P_singleton-{F}(V7,V6), P_unordered_pair-{F}(V8,V7,V9), P_unordered_pair-{F}(V5,V10,V9), pppp4-{F}(V11,V5,V10), pppp1-{F}(V11,V12), pppp3-{F}(V2,V13,V14), pppp3-{F}(V12,V13,V14), P_ordered_pair-{F}(V3,V15,V14), P_unordered_pair-{F}(V3,V15,V16), P_unordered_pair-{F}(V3,V17,V16), V17 == V15, P_ordered_pair-{F}(V14,V18,V7) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3424: mergings( V3 == V4, V4 == V5, V5 == V6, V9 == V7, V8 == V10, V1 == V12; #3415 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V1,V2), P_apply-{F}(V1,V3,V4), pppp12-{F}(V3,V5,V1), V5 == V4 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3430: mergings( V8 == V9, V10 == V11, V3 == V4, V4 == V5, V5 == V6; #3416 ), references = 1, size of lhs = 8:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp12-{F}(V3,V4,V1), P_apply-{F}(V1,V3,V5), V4 == V5 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3443: mergings( V4 == V10, V10 == V11, V1 == V5, V5 == V6, V6 == V7, V7 == V8, V3 == V9, V12 == V13; #3433 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V2), pppp12-{F}(V3,V4,V1), V4 == V0 | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3460: mergings( V4 == V9, V9 == V10, V3 == V5, V5 == V6, V6 == V7, V7 == V8; #3452 ), references = 1, size of lhs = 7:
% 273.79/273.94 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp13-{F}(V1,V2), V2 == V0, P_relation_dom-{F}(V1,V3), pppp1-{F}(V1,V3) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3469: mergings( V7 == V8, V8 == V9, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #3461 ), references = 1, size of lhs = 6:
% 273.79/273.94 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp1-{F}(V0,V2) | pppp13-{T}(V0,V1)
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3478: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #3472 ), references = 2, size of lhs = 4:
% 273.79/273.94 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3484: mergings( V0 == V2; #3482 ), references = 1, size of lhs = 1:
% 273.79/273.94 P_empty_set-{F}(V0) | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 #3486: exists( #69, #3482 ), references = 1, size of lhs = 0:
% 273.79/273.94 FALSE | FALSE
% 273.79/273.94 (used 0 times, uses = {})
% 273.79/273.94
% 273.79/273.94 number of learnt formulas = 155
% 273.79/273.94
% 273.79/273.94
% 273.79/273.94 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 273.79/273.94
% 273.79/273.94 randbase = 1
%------------------------------------------------------------------------------