TSTP Solution File: SEU225+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU225+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 06:17:32 EDT 2022
% Result : Theorem 32.07s 32.29s
% Output : Refutation 32.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU225+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:22:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 32.07/32.29 GeoParameters:
% 32.07/32.29
% 32.07/32.29 tptp_input = 1
% 32.07/32.29 tptp_output = 0
% 32.07/32.29 nonempty = 1
% 32.07/32.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.07/32.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 32.07/32.29
% 32.07/32.29
% 32.07/32.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.07/32.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.07/32.29
% 32.07/32.29 RuleSystem INPUT:
% 32.07/32.29
% 32.07/32.29 Initial Rules:
% 32.07/32.29 #0: input, references = 10, size of lhs = 2:
% 32.07/32.29 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1: input, references = 3, size of lhs = 1:
% 32.07/32.29 empty-{F}(V0) | function-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #2: input, references = 3, size of lhs = 1:
% 32.07/32.29 empty-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #3: input, references = 3, size of lhs = 3:
% 32.07/32.29 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #4: input, references = 4, size of lhs = 3:
% 32.07/32.29 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #5: input, references = 4, size of lhs = 3:
% 32.07/32.29 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #6: input, references = 8, size of lhs = 7:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #7: input, references = 8, size of lhs = 9:
% 32.07/32.29 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
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #8: input, references = 4, size of lhs = 7:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #9: input, references = 19, size of lhs = 7:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #10: input, references = 5, size of lhs = 6:
% 32.07/32.29 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
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #11: input, references = 24, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #12: input, references = 3, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #13: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #14: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #15: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #16: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #17: input, references = 3, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #18: input, references = 3, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation_empty_yielding-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #19: input, references = 3, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #20: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #21: input, references = 3, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #22: input, references = 3, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #23: input, references = 3, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_unordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #24: input, references = 3, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #25: input, references = 24, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #26: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #27: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #28: input, references = 5, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #29: input, references = 5, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #30: input, references = 3, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #31: input, references = 4, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #32: input, references = 6, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom-{F}(V4,V5), in-{F}(V2,V5) | pppp0-{T}(V3,V2,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #33: input, references = 11, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom-{F}(V4,V5), pppp0-{F}(V3,V2,V1) | in-{T}(V2,V5)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #34: input, references = 5, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), pppp0-{F}(V1,V2,V3) | in-{T}(V2,V4)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #35: input, references = 4, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), pppp0-{F}(V1,V2,V3) | in-{T}(V2,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #36: input, references = 10, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V3,V4), in-{F}(V2,V4), in-{F}(V2,V1) | pppp0-{T}(V1,V2,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #37: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #38: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp3-{F}(V0) | function-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #39: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp3-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #40: input, references = 4, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #41: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp4-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #42: input, references = 5, size of lhs = 1:
% 32.07/32.29 pppp4-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #43: input, references = 4, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #44: input, references = 5, size of lhs = 1:
% 32.07/32.29 pppp5-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #45: input, references = 4, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #46: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp6-{F}(V0) | function-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #47: input, references = 5, size of lhs = 1:
% 32.07/32.29 pppp6-{F}(V0) | empty-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #48: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp6-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #49: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #50: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp7-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #51: input, references = 3, size of lhs = 2:
% 32.07/32.29 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #52: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #53: input, references = 3, size of lhs = 2:
% 32.07/32.29 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #54: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #55: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #56: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp9-{F}(V0) | function-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #57: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp9-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #58: input, references = 3, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #59: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #60: input, references = 3, size of lhs = 1:
% 32.07/32.29 pppp10-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #61: input, references = 3, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #62: input, references = 4, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #63: input, references = 4, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #64: input, references = 24, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V4), function-{F}(V4), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4) | pppp1-{T}(V3,V4,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #65: input, references = 4, size of lhs = 8:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4), pppp1-{F}(V3,V1,V2), V1 == V4 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #66: input, references = 4, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp1-{F}(V1,V2,V3), V4 == V6 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #67: input, references = 8, size of lhs = 9:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp1-{F}(V1,V2,V3), P_apply-{F}(V2,V7,V8), P_apply-{F}(V3,V7,V9), in-{F}(V7,V4), V8 == V9 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #68: input, references = 8, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V6), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6) | pppp1-{T}(V1,V2,V3), pppp15-{T}(V2,V3,V6)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #69: input, references = 5, size of lhs = 1:
% 32.07/32.29 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp11-{T}(V0,V1,V3,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #70: input, references = 4, size of lhs = 3:
% 32.07/32.29 pppp11-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #71: input, references = 11, size of lhs = 3:
% 32.07/32.29 pppp11-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #72: input, references = 8, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #73: input, references = 4, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #74: input, references = 5, size of lhs = 1:
% 32.07/32.29 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V0,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #75: input, references = 4, size of lhs = 1:
% 32.07/32.29 pppp14-{F}(V0) | function-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #76: input, references = 4, size of lhs = 1:
% 32.07/32.29 pppp14-{F}(V0) | relation-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #77: input, references = 6, size of lhs = 1:
% 32.07/32.29 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V1,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #78: input, references = 10, size of lhs = 4:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_apply-{F}(V3,V1,V5), P_apply-{F}(V2,V1,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #79: input, references = 11, size of lhs = 4:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_apply-{F}(V3,V1,V4), P_apply-{F}(V2,V1,V5) | in-{T}(V1,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #80: input, references = 8, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #81: input, references = 8, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #82: input, references = 7, size of lhs = 2:
% 32.07/32.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #83: input, references = 10, size of lhs = 2:
% 32.07/32.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #84: input, references = 6, size of lhs = 1:
% 32.07/32.29 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #85: input, references = 29, size of lhs = 2:
% 32.07/32.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #86: input, references = 13, size of lhs = 2:
% 32.07/32.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #87: input, references = 4, size of lhs = 0:
% 32.07/32.29 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #88: input, references = 3, size of lhs = 1:
% 32.07/32.29 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #89: input, references = 19, size of lhs = 2:
% 32.07/32.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 number of initial rules = 90
% 32.07/32.29
% 32.07/32.29 Simplifiers:
% 32.07/32.29 #90: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #91: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #92: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #93: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #94: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #95: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #96: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #97: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #98: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #99: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #100: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #101: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #102: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #103: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #104: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #105: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #106: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #107: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #108: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #109: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #110: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V2), V1 == V4 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #111: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #112: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #113: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V0 == V2 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #114: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #115: unsound, references = 3, size of lhs = 3:
% 32.07/32.29 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V2 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 number of simplifiers = 26
% 32.07/32.29
% 32.07/32.29 Learnt:
% 32.07/32.29 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #126: exists( #83, #31 ), references = 1, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #128: exists( #86, #10 ), references = 3, size of lhs = 4:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #135: mergings( V0 == V2; #132 ), references = 1, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #137: mergings( V0 == V2; #133 ), references = 1, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #149: exists( #83, #62 ), references = 3, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #151: exists( #83, #5 ), references = 5, size of lhs = 1:
% 32.07/32.29 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #164: mergings( V0 == V2; #161 ), references = 1, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #166: mergings( V0 == V2; #162 ), references = 1, size of lhs = 2:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #185: mergings( V2 == V3; #182 ), references = 1, size of lhs = 2:
% 32.07/32.29 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #187: mergings( V2 == V3; #183 ), references = 1, size of lhs = 3:
% 32.07/32.29 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #201: exists( #82, #4 ), references = 3, size of lhs = 1:
% 32.07/32.29 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #207: mergings( V3 == V5; #204 ), references = 1, size of lhs = 6:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_ordered_pair-{F}(V3,V2,V4) | P_apply-{T}(V0,V3,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #213: mergings( V0 == V6; #211 ), references = 2, size of lhs = 10:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp15-{T}(V1,V3,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #216: exists( #89, #65 ), references = 1, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp1-{F}(V3,V1,V2) | P_relation_dom_restriction-{T}(V2,V3,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #221: exists( #84, #66 ), references = 22, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp1-{F}(V3,V5,V1) | P_relation_dom-{T}(V5,V4)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #232: exists( #82, #10 ), references = 3, size of lhs = 4:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #247: mergings( V0 == V6; #245 ), references = 1, size of lhs = 10:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp15-{T}(V1,V3,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #280: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #273 ), references = 2, size of lhs = 6:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_set_intersection2-{F}(V3,V4,V1) | P_relation_dom_restriction-{T}(V0,V4,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #286: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #274 ), references = 1, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V4), P_set_intersection2-{F}(V4,V5,V1) | P_relation_dom_restriction-{T}(V0,V5,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #316: exists( #85, #314 ), references = 1, size of lhs = 5:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_ordered_pair-{F}(V2,V0,V3) | P_apply-{T}(V1,V2,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #328: mergings( V0 == V3; #324 ), references = 1, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #331: mergings( V0 == V3, V2 == V3; #325 ), references = 1, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #334: mergings( V0 == V3, V2 == V3; #326 ), references = 1, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #342: exists( #86, #335 ), references = 1, size of lhs = 6:
% 32.07/32.29 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
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #344: mergings( V1 == V5; #340 ), references = 1, size of lhs = 7:
% 32.07/32.29 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
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #349: exists( #85, #339 ), references = 1, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2) | P_apply-{T}(V1,V2,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #351: mergings( V3 == V5; #347 ), references = 3, size of lhs = 6:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #379: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #372 ), references = 7, size of lhs = 6:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V4), P_set_intersection2-{F}(V2,V3,V4) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #412: mergings( V8 == V9, V3 == V4, V4 == V5, V5 == V6; #407 ), references = 4, size of lhs = 13:
% 32.07/32.29 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), in-{F}(V5,V2), P_singleton-{F}(V5,V6), P_singleton-{F}(V3,V6), P_apply-{F}(V1,V5,V7), P_unordered_pair-{F}(V3,V4,V8), P_unordered_pair-{F}(V5,V9,V8), V9 == V7 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #422: mergings( V2 == V7, V4 == V8, V7 == V9, V0 == V6; #417 ), references = 1, size of lhs = 8:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V7,V2), P_apply-{F}(V5,V3,V8), V4 == V8 | pppp15-{T}(V1,V5,V2)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #435: exists( #85, #7 ), references = 1, size of lhs = 7:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #436: exists( #85, #412 ), references = 1, size of lhs = 11:
% 32.07/32.29 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), in-{F}(V5,V2), P_singleton-{F}(V5,V6), P_singleton-{F}(V3,V6), P_unordered_pair-{F}(V3,V4,V7), P_unordered_pair-{F}(V5,V8,V7) | P_apply-{T}(V1,V5,V8)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #452: exists( #85, #67 ), references = 3, size of lhs = 7:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp1-{F}(V4,V1,V5), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V4,V7), P_apply-{F}(V5,V3,V8) | P_apply-{T}(V1,V3,V8)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #474: mergings( V3 == V6; #470 ), references = 6, size of lhs = 9:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V2,V4), P_set_intersection2-{F}(V4,V5,V1), P_ordered_pair-{F}(V5,V3,V6) | P_apply-{T}(V0,V5,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #475: exists( #85, #469 ), references = 2, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_ordered_pair-{F}(V3,V0,V4) | P_apply-{T}(V1,V3,V0)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #530: mergings( V3 == V6, V6 == V9, V9 == V10, V10 == V12; #524 ), references = 2, size of lhs = 17:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), relation-{F}(V4), function-{F}(V4), P_apply-{F}(V4,V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V2,V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V4), P_empty_set-{F}(V7), empty-{F}(V8), P_relation_dom_restriction-{F}(V6,V0,V9), P_relation_dom-{F}(V9,V8) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #536: mergings( V3 == V4, V4 == V7, V7 == V10, V10 == V11, V11 == V14; #525 ), references = 2, size of lhs = 19:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), relation-{F}(V4), function-{F}(V4), P_apply-{F}(V4,V2,V3), P_relation_dom-{F}(V4,V5), in-{F}(V2,V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V4), relation-{F}(V7), function-{F}(V7), P_relation_dom-{F}(V7,V8), P_empty_set-{F}(V8), P_relation_dom_restriction-{F}(V6,V0,V9), P_relation_dom-{F}(V9,V8) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #564: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #558 ), references = 1, size of lhs = 6:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp0-{F}(V3,V4,V1) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #570: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #559 ), references = 3, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp0-{F}(V3,V4,V0), P_set_intersection2-{F}(V2,V3,V5), P_set_intersection2-{F}(V5,V4,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #609: mergings( V3 == V4, V4 == V5; #606 ), references = 2, size of lhs = 8:
% 32.07/32.29 empty-{F}(V0), P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), pppp13-{F}(V1,V2), P_apply-{F}(V0,V2,V0), P_apply-{F}(V1,V2,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #613: mergings( V0 == V2; #611 ), references = 1, size of lhs = 6:
% 32.07/32.29 pppp14-{F}(V0), P_empty_set-{F}(V0), relation-{F}(V0), function-{F}(V0), empty-{F}(V0), P_relation_dom-{F}(V0,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #678: exists( #85, #70 ), references = 1, size of lhs = 1:
% 32.07/32.29 pppp11-{F}(V0,V0,V1,V2) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #680: exists( #69, #677 ), references = 2, size of lhs = 1:
% 32.07/32.29 pppp15-{F}(V0,V0,V1) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #710: mergings( V4 == V5; #708 ), references = 1, size of lhs = 5:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | P_relation_dom_restriction-{T}(V1,V3,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #730: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #725 ), references = 4, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), in-{F}(V5,V6), P_set_intersection2-{F}(V4,V5,V6) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #770: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #765 ), references = 1, size of lhs = 8:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V4,V5,V6), in-{F}(V7,V8), P_set_intersection2-{F}(V6,V7,V8) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #825: exists( #85, #819 ), references = 2, size of lhs = 4:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V2,V3,V4,V1), P_apply-{F}(V2,V4,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #826: exists( #85, #820 ), references = 1, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp11-{F}(V5,V6,V3,V4), P_apply-{F}(V5,V3,V7) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #827: exists( #85, #821 ), references = 1, size of lhs = 8:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V4,V5,V6), pppp11-{F}(V7,V8,V5,V6), P_apply-{F}(V7,V5,V9) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #831: mergings( V5 == V6; #829 ), references = 1, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), pppp15-{F}(V0,V4,V3) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #836: mergings( V2 == V6, V0 == V7, V7 == V8; #832 ), references = 1, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V1) | pppp1-{T}(V5,V0,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #869: mergings( V11 == V12, V15 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #859 ), references = 5, size of lhs = 14:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), P_set_intersection2-{F}(V3,V4,V5), in-{F}(V6,V5), P_singleton-{F}(V6,V7), P_apply-{F}(V2,V6,V8), P_unordered_pair-{F}(V6,V8,V9), P_unordered_pair-{F}(V6,V10,V9), V10 == V8 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #877: mergings( V11 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #860 ), references = 4, size of lhs = 13:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V3), in-{F}(V4,V2), P_set_intersection2-{F}(V3,V5,V6), in-{F}(V7,V6), P_apply-{F}(V2,V7,V8), P_ordered_pair-{F}(V7,V9,V4), V9 == V8 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #891: mergings( V2 == V3; #889 ), references = 1, size of lhs = 3:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | pppp1-{T}(V3,V1,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #903: mergings( V3 == V6; #900 ), references = 1, size of lhs = 17:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V2,V5), P_set_intersection2-{F}(V5,V6,V1), P_ordered_pair-{F}(V7,V3,V8), P_singleton-{F}(V7,V9), P_apply-{F}(V4,V7,V10), P_unordered_pair-{F}(V7,V10,V11), P_unordered_pair-{F}(V7,V12,V11), V12 == V10 | P_apply-{T}(V0,V7,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #905: mergings( V3 == V6; #901 ), references = 2, size of lhs = 16:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V2,V5), P_set_intersection2-{F}(V5,V6,V1), in-{F}(V7,V4), P_ordered_pair-{F}(V8,V3,V9), P_apply-{F}(V4,V8,V10), P_ordered_pair-{F}(V8,V11,V7), V11 == V10 | P_apply-{T}(V0,V8,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #917: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #911 ), references = 1, size of lhs = 20:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V4), P_relation_dom-{F}(V0,V5), P_apply-{F}(V0,V6,V2), P_ordered_pair-{F}(V6,V2,V7), P_singleton-{F}(V6,V8), P_apply-{F}(V3,V6,V9), P_unordered_pair-{F}(V6,V9,V10), P_unordered_pair-{F}(V6,V11,V10), V11 == V9, pppp12-{F}(V12,V6,V0), P_set_intersection2-{F}(V5,V12,V13), P_set_intersection2-{F}(V4,V14,V13) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #924: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V10; #918 ), references = 1, size of lhs = 18:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V1,V4), P_relation_dom-{F}(V0,V4), P_apply-{F}(V0,V5,V2), P_ordered_pair-{F}(V5,V2,V6), P_singleton-{F}(V5,V7), P_apply-{F}(V3,V5,V8), P_unordered_pair-{F}(V5,V8,V9), P_unordered_pair-{F}(V5,V10,V9), V10 == V8, pppp12-{F}(V11,V5,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #931: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #925 ), references = 1, size of lhs = 18:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0,V1), P_apply-{F}(V0,V1,V2), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V3,V5), P_relation_dom-{F}(V0,V5), P_ordered_pair-{F}(V1,V2,V6), P_singleton-{F}(V1,V7), P_apply-{F}(V4,V1,V8), P_unordered_pair-{F}(V1,V8,V9), P_unordered_pair-{F}(V1,V10,V9), V10 == V8 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #936: exists( #85, #78 ), references = 1, size of lhs = 2:
% 32.07/32.29 P_relation_dom_restriction-{F}(V0,V1,V0), pppp12-{F}(V1,V2,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #951: mergings( V3 == V4, V4 == V5; #946 ), references = 2, size of lhs = 12:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), P_unordered_pair-{F}(V3,V0,V6), P_unordered_pair-{F}(V5,V7,V6), pppp12-{F}(V8,V3,V1), P_relation_dom_restriction-{F}(V1,V8,V9), P_apply-{F}(V9,V3,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #956: mergings( V3 == V4, V4 == V0; #953 ), references = 1, size of lhs = 10:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V0,V4), pppp12-{F}(V5,V3,V1), P_relation_dom_restriction-{F}(V1,V5,V6), P_apply-{F}(V6,V3,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #968: exists( #85, #962 ), references = 1, size of lhs = 5:
% 32.07/32.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp12-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V3,V1,V4), P_apply-{F}(V4,V2,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #969: exists( #85, #963 ), references = 3, size of lhs = 8:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp12-{F}(V4,V3,V5), P_relation_dom_restriction-{F}(V5,V4,V6), P_apply-{F}(V6,V3,V7) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #970: exists( #85, #964 ), references = 3, size of lhs = 9:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), P_set_intersection2-{F}(V4,V5,V6), pppp12-{F}(V6,V5,V7), P_relation_dom_restriction-{F}(V7,V6,V8), P_apply-{F}(V8,V5,V9) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #975: exists( #82, #973 ), references = 1, size of lhs = 9:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), pppp12-{F}(V5,V3,V1), P_relation_dom_restriction-{F}(V1,V5,V6), P_apply-{F}(V6,V3,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #988: mergings( V4 == V8, V3 == V5, V5 == V7; #984 ), references = 2, size of lhs = 13:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), P_ordered_pair-{F}(V4,V3,V5), pppp12-{F}(V6,V4,V0), P_set_intersection2-{F}(V1,V6,V7), P_set_intersection2-{F}(V7,V4,V7), P_relation_dom_restriction-{F}(V0,V6,V8), P_apply-{F}(V8,V4,V9) | P_apply-{T}(V0,V4,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1003: mergings( V6 == V10, V8 == V11, V9 == V1; #999 ), references = 2, size of lhs = 12:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V1), P_empty_set-{F}(V3), P_set_intersection2-{F}(V1,V4,V5), P_set_intersection2-{F}(V5,V6,V5), pppp12-{F}(V4,V6,V0), P_relation_dom_restriction-{F}(V0,V4,V7), P_apply-{F}(V7,V6,V3) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1011: exists( #85, #67 ), references = 3, size of lhs = 7:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp1-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8) | P_apply-{T}(V6,V3,V4)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1040: mergings( V3 == V7; #1038 ), references = 2, size of lhs = 18:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V2,V5), P_set_intersection2-{F}(V5,V6,V1), P_apply-{F}(V0,V7,V8), V8 == V3, P_singleton-{F}(V7,V9), P_apply-{F}(V4,V7,V10), P_unordered_pair-{F}(V7,V10,V11), P_unordered_pair-{F}(V7,V12,V11), V12 == V10 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1043: mergings( V3 == V6; #1041 ), references = 4, size of lhs = 16:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V2,V5), P_set_intersection2-{F}(V5,V6,V1), P_singleton-{F}(V7,V8), P_apply-{F}(V4,V7,V9), P_unordered_pair-{F}(V7,V9,V10), P_unordered_pair-{F}(V7,V11,V10), V11 == V9 | P_apply-{T}(V0,V7,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1066: exists( #85, #1064 ), references = 1, size of lhs = 9:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V3), pppp1-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8), pppp11-{F}(V6,V9,V3,V4), P_apply-{F}(V9,V3,V10) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1068: exists( #85, #1065 ), references = 1, size of lhs = 8:
% 32.07/32.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), in-{F}(V4,V3), pppp1-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8), pppp11-{F}(V6,V9,V3,V4) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1081: mergings( V5 == V6, V7 == V13, V3 == V9; #1076 ), references = 1, size of lhs = 17:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), relation-{F}(V3), function-{F}(V3), in-{F}(V2,V4), P_relation_dom-{F}(V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V3), P_empty_set-{F}(V6), empty-{F}(V7), P_relation_dom_restriction-{F}(V5,V0,V8), P_relation_dom-{F}(V8,V7), pppp1-{F}(V9,V0,V3), P_set_intersection2-{F}(V4,V9,V10) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1085: mergings( V5 == V6, V7 == V13, V3 == V10; #1077 ), references = 1, size of lhs = 19:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), relation-{F}(V3), function-{F}(V3), in-{F}(V2,V4), P_relation_dom-{F}(V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V3), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), P_empty_set-{F}(V7), P_relation_dom_restriction-{F}(V5,V0,V8), P_relation_dom-{F}(V8,V7), pppp1-{F}(V9,V0,V3), P_set_intersection2-{F}(V4,V9,V10) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1095: mergings( V6 == V9, V3 == V4, V4 == V8; #1091 ), references = 2, size of lhs = 14:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), in-{F}(V3,V4), P_relation_dom-{F}(V5,V4), P_set_intersection2-{F}(V6,V3,V6), P_set_intersection2-{F}(V2,V7,V6), pppp1-{F}(V8,V5,V9), P_relation_dom-{F}(V9,V10), P_set_intersection2-{F}(V10,V8,V11), pppp11-{F}(V9,V12,V3,V7), P_apply-{F}(V12,V3,V13) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1100: mergings( V6 == V10, V3 == V4, V4 == V9; #1096 ), references = 2, size of lhs = 13:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), in-{F}(V3,V4), P_relation_dom-{F}(V5,V4), P_set_intersection2-{F}(V6,V3,V6), P_set_intersection2-{F}(V2,V7,V6), pppp1-{F}(V8,V5,V9), P_relation_dom-{F}(V9,V10), P_set_intersection2-{F}(V10,V8,V11), pppp11-{F}(V9,V12,V3,V7) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1111: exists( #85, #1105 ), references = 1, size of lhs = 14:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_set_intersection2-{F}(V4,V3,V4), P_set_intersection2-{F}(V2,V5,V4), P_apply-{F}(V6,V3,V7), pppp11-{F}(V6,V8,V3,V9), P_relation_dom-{F}(V10,V9), pppp1-{F}(V11,V10,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), pppp11-{F}(V12,V15,V3,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1112: exists( #85, #1106 ), references = 1, size of lhs = 14:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_set_intersection2-{F}(V4,V3,V4), P_set_intersection2-{F}(V2,V5,V4), P_apply-{F}(V6,V3,V7), pppp11-{F}(V6,V8,V3,V9), P_relation_dom-{F}(V10,V9), pppp11-{F}(V11,V8,V3,V5), pppp1-{F}(V12,V10,V11), P_relation_dom-{F}(V11,V13), P_set_intersection2-{F}(V13,V12,V14) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1113: exists( #85, #1107 ), references = 1, size of lhs = 3:
% 32.07/32.29 in-{F}(V0,V1), pppp11-{F}(V2,V3,V1,V0), P_apply-{F}(V2,V1,V4) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1117: exists( #85, #1108 ), references = 1, size of lhs = 13:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_set_intersection2-{F}(V4,V3,V4), P_set_intersection2-{F}(V2,V5,V4), P_relation_dom-{F}(V6,V7), pppp11-{F}(V8,V9,V3,V7), pppp1-{F}(V10,V6,V11), P_relation_dom-{F}(V11,V12), P_set_intersection2-{F}(V12,V10,V13), pppp11-{F}(V11,V14,V3,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1118: exists( #85, #1109 ), references = 1, size of lhs = 13:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_set_intersection2-{F}(V4,V3,V4), P_set_intersection2-{F}(V2,V5,V4), P_relation_dom-{F}(V6,V7), pppp11-{F}(V8,V9,V3,V7), pppp11-{F}(V10,V9,V3,V5), pppp1-{F}(V11,V6,V10), P_relation_dom-{F}(V10,V12), P_set_intersection2-{F}(V12,V11,V13) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1119: exists( #85, #1110 ), references = 3, size of lhs = 2:
% 32.07/32.29 in-{F}(V0,V1), pppp11-{F}(V2,V3,V1,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1132: mergings( V3 == V5; #1130 ), references = 1, size of lhs = 9:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_ordered_pair-{F}(V3,V1,V4), pppp1-{F}(V5,V0,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8), P_apply-{F}(V6,V3,V9) | P_apply-{T}(V0,V3,V1), P_apply-{T}(V0,V3,V9)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1135: mergings( V0 == V2; #1133 ), references = 1, size of lhs = 12:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_ordered_pair-{F}(V3,V1,V4), P_apply-{F}(V5,V3,V1), pppp12-{F}(V6,V3,V5), P_relation_dom_restriction-{F}(V5,V6,V0), pppp1-{F}(V7,V0,V8), P_relation_dom-{F}(V8,V9), P_set_intersection2-{F}(V9,V7,V10), P_apply-{F}(V8,V3,V11) | P_apply-{T}(V0,V3,V11)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1150: mergings( V9 == V10, V11 == V12, V7 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V15, V15 == V8; #1141 ), references = 1, size of lhs = 8:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V1), P_ordered_pair-{F}(V3,V1,V4), pppp12-{F}(V5,V3,V0), P_set_intersection2-{F}(V2,V5,V6) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1158: mergings( V8 == V12, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V9; #1151 ), references = 4, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_apply-{F}(V0,V3,V1), P_ordered_pair-{F}(V3,V1,V4), pppp12-{F}(V5,V3,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1165: mergings( V3 == V4; #1162 ), references = 1, size of lhs = 6:
% 32.07/32.29 relation-{F}(V0), P_relation_dom-{F}(V0,V0), function-{F}(V0), P_empty_set-{F}(V1), P_ordered_pair-{F}(V2,V3,V2), P_ordered_pair-{F}(V2,V1,V4) | P_apply-{T}(V0,V2,V1), P_apply-{T}(V0,V2,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1168: mergings( V0 == V6, V3 == V5; #1163 ), references = 1, size of lhs = 10:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), P_empty_set-{F}(V2), P_set_intersection2-{F}(V0,V3,V0), P_ordered_pair-{F}(V4,V5,V4), P_ordered_pair-{F}(V4,V2,V6) | P_apply-{T}(V0,V4,V2), P_apply-{T}(V0,V4,V5)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1173: mergings( V1 == V6, V5 == V7, V2 == V0; #1169 ), references = 2, size of lhs = 7:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V0), P_empty_set-{F}(V1), P_ordered_pair-{F}(V2,V3,V2), P_ordered_pair-{F}(V2,V1,V4), pppp12-{F}(V5,V2,V0) | P_apply-{T}(V0,V2,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1180: mergings( V5 == V6, V6 == V7, V1 == V4; #1176 ), references = 1, size of lhs = 15:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V2), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V2), P_ordered_pair-{F}(V4,V5,V4), V5 == V1, pppp12-{F}(V6,V4,V2), P_singleton-{F}(V4,V7), P_unordered_pair-{F}(V4,V5,V8), P_unordered_pair-{F}(V4,V9,V8), V9 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1190: mergings( V3 == V5; #1186 ), references = 1, size of lhs = 12:
% 32.07/32.29 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)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1192: mergings( V3 == V6; #1187 ), references = 1, size of lhs = 16:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_empty_set-{F}(V3), P_relation_dom-{F}(V1,V4), P_relation_dom-{F}(V2,V4), P_set_intersection2-{F}(V4,V5,V6), in-{F}(V7,V6), P_apply-{F}(V1,V7,V8), P_ordered_pair-{F}(V7,V9,V10), V9 == V8, P_ordered_pair-{F}(V10,V3,V11) | P_apply-{T}(V0,V10,V3)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1195: mergings( V6 == V9, V11 == V13; #1188 ), references = 1, size of lhs = 15:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V0,V2), relation-{F}(V3), function-{F}(V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V2,V6,V5), in-{F}(V7,V1), P_ordered_pair-{F}(V8,V9,V7), P_ordered_pair-{F}(V8,V4,V10), pppp12-{F}(V11,V8,V3) | P_apply-{T}(V1,V8,V9)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1205: mergings( V3 == V9, V4 == V1; #1200 ), references = 1, size of lhs = 12:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_apply-{F}(V0,V2,V3), relation-{F}(V4), function-{F}(V4), P_relation_dom-{F}(V4,V0), P_empty_set-{F}(V5), P_ordered_pair-{F}(V2,V6,V7), V6 == V3, pppp12-{F}(V8,V7,V4) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1271: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11; #1263 ), references = 1, size of lhs = 15:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V3,V5), P_relation_dom-{F}(V0,V6), P_set_intersection2-{F}(V2,V7,V8), P_ordered_pair-{F}(V7,V4,V9), P_set_intersection2-{F}(V5,V7,V10), P_set_intersection2-{F}(V6,V10,V8), pppp12-{F}(V10,V7,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1277: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11; #1264 ), references = 1, size of lhs = 16:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V3,V5), P_relation_dom-{F}(V0,V6), P_set_intersection2-{F}(V2,V7,V8), P_ordered_pair-{F}(V7,V4,V9), P_set_intersection2-{F}(V6,V10,V8), pppp12-{F}(V10,V7,V0), P_set_intersection2-{F}(V11,V7,V10), P_set_intersection2-{F}(V5,V12,V11) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1284: mergings( V9 == V12, V14 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V11; #1265 ), references = 1, size of lhs = 15:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), relation-{F}(V2), function-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V2,V4), P_empty_set-{F}(V5), pppp12-{F}(V6,V7,V2), P_set_intersection2-{F}(V1,V7,V8), P_set_intersection2-{F}(V4,V6,V8), P_set_intersection2-{F}(V8,V7,V8), P_ordered_pair-{F}(V7,V5,V9) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1302: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V12; #1295 ), references = 1, size of lhs = 22:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V0,V7), P_set_intersection2-{F}(V3,V8,V9), P_set_intersection2-{F}(V7,V10,V9), P_set_intersection2-{F}(V6,V11,V10), pppp12-{F}(V10,V11,V0), P_singleton-{F}(V11,V12), P_apply-{F}(V2,V11,V13), P_unordered_pair-{F}(V11,V13,V14), P_unordered_pair-{F}(V11,V15,V14), V15 == V13 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1308: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V12; #1296 ), references = 1, size of lhs = 23:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V0,V7), P_set_intersection2-{F}(V3,V8,V9), P_set_intersection2-{F}(V7,V10,V9), pppp12-{F}(V10,V11,V0), P_singleton-{F}(V11,V12), P_apply-{F}(V2,V11,V13), P_unordered_pair-{F}(V11,V13,V14), P_unordered_pair-{F}(V11,V15,V14), V15 == V13, P_set_intersection2-{F}(V16,V11,V10), P_set_intersection2-{F}(V6,V17,V16) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1318: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V12; #1311 ), references = 1, size of lhs = 20:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V0,V7), P_set_intersection2-{F}(V6,V8,V3), pppp12-{F}(V3,V8,V0), P_singleton-{F}(V8,V9), P_apply-{F}(V2,V8,V10), P_unordered_pair-{F}(V8,V10,V11), P_unordered_pair-{F}(V8,V12,V11), V12 == V10 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1324: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V12; #1312 ), references = 1, size of lhs = 21:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V0,V7), pppp12-{F}(V3,V8,V0), P_singleton-{F}(V8,V9), P_apply-{F}(V2,V8,V10), P_unordered_pair-{F}(V8,V10,V11), P_unordered_pair-{F}(V8,V12,V11), V12 == V10, P_set_intersection2-{F}(V13,V8,V3), P_set_intersection2-{F}(V6,V14,V13) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1347: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17; #1335 ), references = 1, size of lhs = 22:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V3,V7), P_relation_dom-{F}(V0,V8), P_set_intersection2-{F}(V8,V9,V10), P_set_intersection2-{F}(V2,V11,V10), pppp12-{F}(V10,V11,V3), P_set_intersection2-{F}(V6,V11,V10), P_ordered_pair-{F}(V11,V5,V12), P_singleton-{F}(V11,V13), P_unordered_pair-{F}(V11,V5,V14), P_unordered_pair-{F}(V11,V15,V14), V15 == V5 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1358: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V17; #1336 ), references = 1, size of lhs = 23:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), relation-{F}(V4), function-{F}(V4), P_empty_set-{F}(V5), P_relation_dom-{F}(V4,V6), P_relation_dom-{F}(V3,V7), P_relation_dom-{F}(V0,V8), P_set_intersection2-{F}(V8,V9,V10), P_set_intersection2-{F}(V2,V11,V10), pppp12-{F}(V10,V11,V3), P_ordered_pair-{F}(V11,V5,V12), P_singleton-{F}(V11,V13), P_unordered_pair-{F}(V11,V5,V14), P_unordered_pair-{F}(V11,V15,V14), V15 == V5, P_set_intersection2-{F}(V16,V11,V10), P_set_intersection2-{F}(V6,V17,V16) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1377: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11, V16 == V22; #1370 ), references = 1, size of lhs = 22:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V1,V3), P_empty_set-{F}(V4), P_relation_dom-{F}(V0,V5), P_set_intersection2-{F}(V5,V6,V7), P_set_intersection2-{F}(V3,V8,V7), P_apply-{F}(V2,V9,V10), P_unordered_pair-{F}(V9,V10,V11), P_unordered_pair-{F}(V9,V12,V11), V12 == V10, in-{F}(V9,V13), P_set_intersection2-{F}(V7,V14,V13), P_singleton-{F}(V9,V15), P_unordered_pair-{F}(V9,V4,V16), P_unordered_pair-{F}(V9,V17,V16), V17 == V4 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1397: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1392 ), references = 1, size of lhs = 7:
% 32.07/32.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp0-{F}(V3,V5,V1), pppp11-{F}(V6,V7,V4,V5) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1454: mergings( V3 == V5; #1450 ), references = 1, size of lhs = 9:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_ordered_pair-{F}(V3,V1,V4), pppp1-{F}(V5,V0,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8), P_apply-{F}(V6,V3,V9) | P_apply-{T}(V0,V3,V1), P_apply-{T}(V0,V3,V9)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1455: exists( #85, #1448 ), references = 1, size of lhs = 4:
% 32.07/32.29 pppp12-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_apply-{F}(V2,V1,V4), pppp11-{F}(V5,V6,V0,V1) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1473: mergings( V3 == V20, V0 == V2, V2 == V11, V11 == V12, V12 == V15; #1465 ), references = 1, size of lhs = 23:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_empty_set-{F}(V4), P_ordered_pair-{F}(V3,V4,V5), P_relation_dom-{F}(V0,V6), P_relation_dom-{F}(V7,V6), P_relation_dom_restriction-{F}(V1,V8,V7), pppp12-{F}(V8,V3,V9), P_relation_dom_restriction-{F}(V9,V8,V0), P_apply-{F}(V9,V3,V10), pppp1-{F}(V11,V0,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), P_apply-{F}(V12,V3,V15), pppp1-{F}(V16,V0,V17), P_relation_dom-{F}(V17,V18), P_set_intersection2-{F}(V18,V16,V19), P_apply-{F}(V17,V3,V20), V4 == V20 | P_apply-{T}(V0,V3,V15)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1479: mergings( V3 == V16, V0 == V2, V2 == V11, V11 == V12, V12 == V15; #1466 ), references = 1, size of lhs = 22:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), P_empty_set-{F}(V3), P_ordered_pair-{F}(V2,V3,V4), relation-{F}(V5), function-{F}(V5), P_relation_dom-{F}(V5,V6), P_singleton-{F}(V2,V7), P_unordered_pair-{F}(V2,V3,V8), P_unordered_pair-{F}(V2,V9,V8), V9 == V3, P_relation_dom-{F}(V10,V6), P_relation_dom_restriction-{F}(V0,V11,V10), pppp12-{F}(V11,V2,V12), P_relation_dom_restriction-{F}(V12,V11,V5), P_apply-{F}(V12,V2,V13), pppp1-{F}(V14,V5,V15), P_relation_dom-{F}(V15,V16), P_set_intersection2-{F}(V16,V14,V17), P_apply-{F}(V15,V2,V18) | P_apply-{T}(V5,V2,V18)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1485: mergings( V3 == V17, V0 == V2, V2 == V11, V11 == V12, V12 == V16; #1467 ), references = 1, size of lhs = 26:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), in-{F}(V2,V1), relation-{F}(V3), function-{F}(V3), P_empty_set-{F}(V4), P_ordered_pair-{F}(V2,V4,V5), relation-{F}(V6), function-{F}(V6), P_relation_dom-{F}(V6,V7), P_relation_dom-{F}(V3,V7), P_singleton-{F}(V2,V8), P_unordered_pair-{F}(V2,V4,V9), P_unordered_pair-{F}(V2,V10,V9), V10 == V4, pppp1-{F}(V11,V6,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), P_apply-{F}(V12,V2,V15), pppp12-{F}(V16,V2,V17), P_relation_dom_restriction-{F}(V17,V16,V6), P_apply-{F}(V17,V2,V18), P_relation_dom_restriction-{F}(V0,V16,V19), P_relation_dom-{F}(V19,V20), P_set_intersection2-{F}(V7,V21,V20) | P_apply-{T}(V6,V2,V15)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1507: mergings( V11 == V15, V15 == V16, V21 == V22, V16 == V18, V22 == V23, V19 == V17, V17 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V14; #1491 ), references = 1, size of lhs = 10:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V3,V1,V4), pppp12-{F}(V5,V3,V0), P_apply-{F}(V0,V3,V6), V1 == V6, P_set_intersection2-{F}(V2,V5,V7) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1520: mergings( V12 == V0, V16 == V17, V17 == V18, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V15; #1508 ), references = 1, size of lhs = 9:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V3,V1,V4), pppp12-{F}(V5,V3,V0), P_apply-{F}(V0,V3,V6), V1 == V6 | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1534: mergings( V4 == V14, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V15 == V16, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #1522 ), references = 1, size of lhs = 6:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_ordered_pair-{F}(V3,V1,V4), pppp12-{F}(V5,V3,V0) | P_apply-{T}(V0,V3,V1)
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1557: mergings( V12 == V13, V13 == V14, V14 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V1, V16 == V17, V17 == V18; #1541 ), references = 1, size of lhs = 5:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp12-{F}(V3,V4,V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1570: mergings( V11 == V12, V12 == V13, V13 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V14; #1558 ), references = 1, size of lhs = 5:
% 32.07/32.29 relation-{F}(V0), function-{F}(V0), pppp13-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1583: mergings( V10 == V11, V11 == V12, V12 == V14, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13; #1571 ), references = 1, size of lhs = 5:
% 32.07/32.29 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1593: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1584 ), references = 2, size of lhs = 4:
% 32.07/32.29 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1602: mergings( V0 == V2; #1600 ), references = 1, size of lhs = 1:
% 32.07/32.29 P_empty_set-{F}(V0) | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 #1604: exists( #87, #1600 ), references = 1, size of lhs = 0:
% 32.07/32.29 FALSE | FALSE
% 32.07/32.29 (used 0 times, uses = {})
% 32.07/32.29
% 32.07/32.29 number of learnt formulas = 122
% 32.07/32.29
% 32.07/32.29
% 32.07/32.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.07/32.29
% 32.07/32.29 randbase = 1
%------------------------------------------------------------------------------