%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRA009+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:02:47 EDT 2022
% Result : Theorem 7.73s 7.95s
% Output : Refutation 7.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRA009+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.10/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jul 22 07:45:48 EDT 2022
% 0.12/0.32 % CPUTime :
% 7.73/7.95 GeoParameters:
% 7.73/7.95
% 7.73/7.95 tptp_input = 1
% 7.73/7.95 tptp_output = 0
% 7.73/7.95 nonempty = 1
% 7.73/7.95 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.73/7.95 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.73/7.95
% 7.73/7.95
% 7.73/7.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.73/7.95 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.73/7.95
% 7.73/7.95 RuleSystem INPUT:
% 7.73/7.95
% 7.73/7.95 Initial Rules:
% 7.73/7.95 #0: input, references = 7, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V2), P_tail_of-{F}(V0,V2), edge-{F}(V0) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1: input, references = 10, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #2: input, references = 5, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #3: input, references = 5, size of lhs = 4:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0 | EXISTS V2: pppp9-{T}(V1,V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #4: input, references = 13, size of lhs = 1:
% 7.73/7.95 pppp9-{F}(V0,V1,V2) | pppp8-{T}(V2,V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #5: input, references = 3, size of lhs = 3:
% 7.73/7.95 pppp8-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #6: input, references = 6, size of lhs = 1:
% 7.73/7.95 pppp8-{F}(V0,V1,V2) | pppp0-{T}(V0,V1,V2), pppp1-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #7: input, references = 5, size of lhs = 1:
% 7.73/7.95 pppp8-{F}(V0,V1,V2) | edge-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #8: input, references = 6, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #9: input, references = 5, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V1 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #10: input, references = 5, size of lhs = 2:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp1-{T}(V0,V4,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #11: input, references = 7, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #12: input, references = 9, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V2 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #13: input, references = 6, size of lhs = 2:
% 7.73/7.95 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp0-{T}(V0,V3,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #14: input, references = 4, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), vertex-{F}(V6), vertex-{F}(V5), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), edge-{F}(V4) | path-{T}(V5,V6,V7)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #15: input, references = 7, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), vertex-{F}(V1), vertex-{F}(V5), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), edge-{F}(V4), P_path_cons-{F}(V4,V8,V9), path-{F}(V6,V1,V8) | path-{T}(V5,V1,V9)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #16: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #17: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #18: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V1,V2,V3) | EXISTS V4: pppp11-{T}(V1,V2,V3,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #19: input, references = 4, size of lhs = 2:
% 7.73/7.95 pppp11-{F}(V0,V1,V2,V3), P_tail_of-{F}(V3,V4) | pppp10-{T}(V3,V0,V1,V2,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #20: input, references = 4, size of lhs = 3:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V2,V3), pppp2-{F}(V0,V2,V3) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #21: input, references = 4, size of lhs = 1:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4) | pppp2-{T}(V0,V2,V3), pppp3-{T}(V0,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #22: input, references = 4, size of lhs = 2:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4), V1 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #23: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4) | edge-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #24: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V4), pppp3-{F}(V1,V2,V3) | EXISTS V5: pppp12-{T}(V1,V2,V3,V5,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #25: input, references = 4, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V5,V6), path-{F}(V4,V2,V5) | pppp3-{T}(V1,V2,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #26: input, references = 4, size of lhs = 3:
% 7.73/7.95 pppp12-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #27: input, references = 3, size of lhs = 2:
% 7.73/7.95 pppp12-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5) | path-{T}(V4,V1,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #28: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V0,V5), pppp2-{F}(V1,V2,V3), V2 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #29: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V0,V5), pppp2-{F}(V1,V2,V3), V3 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #30: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V0,V5) | pppp2-{T}(V1,V4,V5)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #31: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V3,V2,V1), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), on_path-{F}(V4,V1) | edge-{T}(V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #32: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V3,V2,V1), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), on_path-{F}(V4,V1) | in_path-{T}(V5,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #33: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V3,V2,V1), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), on_path-{F}(V4,V1) | in_path-{T}(V6,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #34: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | vertex-{T}(V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #35: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | EXISTS V5: pppp13-{T}(V5,V1,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #36: input, references = 7, size of lhs = 5:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), V2 == V3, V2 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #37: input, references = 3, size of lhs = 3:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | on_path-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #38: input, references = 5, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #39: input, references = 8, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), pppp4-{F}(V1,V2) | sequential-{T}(V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #40: input, references = 13, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V3), P_tail_of-{F}(V2,V4) | pppp14-{T}(V1,V2,V3,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #41: input, references = 8, size of lhs = 4:
% 7.73/7.95 pppp14-{F}(V0,V1,V3,V3), edge-{F}(V0), edge-{F}(V1), V0 == V1 | pppp4-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #42: input, references = 5, size of lhs = 3:
% 7.73/7.95 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1), V2 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #43: input, references = 3, size of lhs = 2:
% 7.73/7.95 pppp14-{F}(V1,V1,V2,V3), pppp4-{F}(V1,V1) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #44: input, references = 5, size of lhs = 2:
% 7.73/7.95 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #45: input, references = 5, size of lhs = 2:
% 7.73/7.95 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #46: input, references = 8, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), on_path-{F}(V2,V1), on_path-{F}(V3,V1), sequential-{F}(V3,V2), path-{F}(V5,V4,V1) | precedes-{T}(V3,V2,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #47: input, references = 3, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), on_path-{F}(V2,V1), on_path-{F}(V3,V1), sequential-{F}(V3,V4), precedes-{F}(V4,V2,V1), path-{F}(V6,V5,V1) | precedes-{T}(V3,V2,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #48: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), precedes-{F}(V2,V3,V1), path-{F}(V5,V4,V1) | pppp15-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #49: input, references = 3, size of lhs = 3:
% 7.73/7.95 pppp15-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), sequential-{F}(V1,V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #50: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp15-{F}(V0,V1,V2) | sequential-{T}(V1,V2), pppp5-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #51: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp15-{F}(V0,V1,V2) | on_path-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #52: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp15-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #53: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), pppp5-{F}(V1,V2,V3) | EXISTS V4: pppp16-{T}(V1,V2,V3,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #54: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V2,V4), precedes-{F}(V4,V3,V1) | pppp5-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #55: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp16-{F}(V0,V1,V2,V3) | precedes-{T}(V3,V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #56: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp16-{F}(V0,V1,V2,V3) | sequential-{T}(V1,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #57: input, references = 9, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), shortest_path-{F}(V1,V2,V3) | pppp6-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #58: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), pppp6-{F}(V1,V2,V3) | shortest_path-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #59: input, references = 9, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V1,V2,V3) | path-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #60: input, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V2,V2,V3) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #61: input, references = 3, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V1,V2,V3), P_length_of-{F}(V5,V6), path-{F}(V1,V2,V5) | less_or_equal-{T}(V4,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #62: input, references = 3, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), P_length_of-{F}(V3,V4), path-{F}(V1,V2,V3), V1 == V2 | pppp6-{T}(V1,V2,V3), pppp26-{T}(V1,V2,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #63: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp26-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V0,V1,V3,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #64: input, references = 3, size of lhs = 3:
% 7.73/7.95 pppp17-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4), less_or_equal-{F}(V3,V4) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #65: input, references = 3, size of lhs = 2:
% 7.73/7.95 pppp17-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4) | path-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #66: input, references = 5, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), shortest_path-{F}(V3,V2,V1), P_tail_of-{F}(V5,V6), P_head_of-{F}(V4,V7), precedes-{F}(V5,V4,V1), P_tail_of-{F}(V8,V6), P_head_of-{F}(V8,V7) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #67: input, references = 4, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), shortest_path-{F}(V3,V2,V1), P_tail_of-{F}(V5,V6), P_head_of-{F}(V4,V7), precedes-{F}(V5,V4,V1), precedes-{F}(V4,V5,V1) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #68: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), triangle-{F}(V1,V2,V3) | pppp7-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #69: input, references = 5, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | triangle-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #70: input, references = 3, size of lhs = 2:
% 7.73/7.95 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | pppp18-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #71: input, references = 5, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), edge-{F}(V1), edge-{F}(V2), edge-{F}(V3), sequential-{F}(V1,V2), sequential-{F}(V2,V3), sequential-{F}(V3,V1) | pppp7-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #72: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | sequential-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #73: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #74: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | sequential-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #75: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | edge-{T}(V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #76: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | edge-{T}(V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #77: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp18-{F}(V0,V1,V2) | edge-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #78: input, references = 6, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), P_number_of_in-{F}(V1,V2,V4), path-{F}(V6,V5,V2), V3 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #79: input, references = 7, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_number_of_in-{F}(V2,V4,V5), P_length_of-{F}(V4,V6), P_minus-{F}(V6,V3,V7), path-{F}(V9,V8,V4), V5 == V7 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #80: input, references = 3, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_number_of_in-{F}(V2,V5,V6), P_number_of_in-{F}(V4,V5,V7), path-{F}(V10,V9,V5), V6 == V7 | EXISTS V8: pppp20-{T}(V5,V8)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #81: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp20-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V2,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #82: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp20-{F}(V0,V1) | on_path-{T}(V1,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #83: input, references = 3, size of lhs = 2:
% 7.73/7.95 pppp19-{F}(V0,V1,V2), triangle-{F}(V1,V2,V3) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #84: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp19-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #85: input, references = 3, size of lhs = 1:
% 7.73/7.95 pppp19-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #86: input, references = 3, size of lhs = 8:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5), P_number_of_in-{F}(V6,V7,V8), P_number_of_in-{F}(V6,V5,V9) | less_or_equal-{T}(V8,V9)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #87: input, references = 4, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5) | complete-{T}()
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #88: input, references = 4, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5) | EXISTS V6: pppp25-{T}(V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #89: input, references = 5, size of lhs = 1:
% 7.73/7.95 pppp25-{F}(V0) | EXISTS V1: pppp24-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #90: input, references = 5, size of lhs = 1:
% 7.73/7.95 pppp24-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V2,V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #91: input, references = 5, size of lhs = 2:
% 7.73/7.95 pppp24-{F}(V0,V1), triangle-{F}(V0,V1,V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #92: input, references = 6, size of lhs = 1:
% 7.73/7.95 pppp24-{F}(V0,V1) | sequential-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #93: input, references = 7, size of lhs = 1:
% 7.73/7.95 pppp23-{F}(V0,V1,V2) | EXISTS V3: pppp22-{T}(V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #94: input, references = 5, size of lhs = 1:
% 7.73/7.95 pppp23-{F}(V0,V1,V2) | on_path-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #95: input, references = 4, size of lhs = 1:
% 7.73/7.95 pppp23-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #96: input, references = 7, size of lhs = 1:
% 7.73/7.95 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #97: input, references = 10, size of lhs = 1:
% 7.73/7.95 pppp21-{F}(V0,V1,V2) | shortest_path-{T}(V2,V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #98: input, references = 13, size of lhs = 1:
% 7.73/7.95 #-{F} V0 | EXISTS V1: P_head_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #99: input, references = 13, size of lhs = 1:
% 7.73/7.95 #-{F} V0 | EXISTS V1: P_tail_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #100: input, references = 7, size of lhs = 2:
% 7.73/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_path_cons-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #101: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_empty-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #102: input, references = 5, size of lhs = 1:
% 7.73/7.95 #-{F} V0 | EXISTS V1: P_length_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #103: input, references = 5, size of lhs = 2:
% 7.73/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_in-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #104: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_edges-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #105: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_sequential_pairs-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #106: input, references = 5, size of lhs = 2:
% 7.73/7.95 #-{F} V0, #-{F} V1 | EXISTS V2: P_minus-{T}(V0,V1,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #107: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_n1-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #108: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_triangles-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #109: input, references = 4, size of lhs = 0:
% 7.73/7.95 FALSE | EXISTS V0: P_graph-{T}(V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 number of initial rules = 110
% 7.73/7.95
% 7.73/7.95 Simplifiers:
% 7.73/7.95 #110: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), P_head_of-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #111: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_tail_of-{F}(V0,V1), P_tail_of-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #112: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_path_cons-{F}(V0,V1,V2), P_path_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #113: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_empty-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #114: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_length_of-{F}(V0,V1), P_length_of-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #115: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_number_of_in-{F}(V0,V1,V2), P_number_of_in-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #116: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_edges-{F}(V0), P_edges-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #117: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_sequential_pairs-{F}(V0), P_sequential_pairs-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #118: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_minus-{F}(V0,V1,V2), P_minus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #119: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #120: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_triangles-{F}(V0), P_triangles-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #121: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 P_graph-{F}(V0), P_graph-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #122: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #123: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #124: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #125: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #126: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #127: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #128: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #129: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #130: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #131: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #132: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #133: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #134: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #135: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #136: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #137: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #138: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V1,V5), V0 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #139: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #140: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V1,V2), V0 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #141: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V1,V5), V2 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #142: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V1 == V4 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #143: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #144: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp24-{F}(V0,V1), pppp24-{F}(V2,V3), V0 == V2 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #145: unsound, references = 3, size of lhs = 3:
% 7.73/7.95 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 number of simplifiers = 36
% 7.73/7.95
% 7.73/7.95 Learnt:
% 7.73/7.95 #150: exists( #99, #148 ), references = 4, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp4-{F}(V1,V3) | P_tail_of-{T}(V3,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #161: mergings( V5 == V6, V6 == V7, V2 == V3, V3 == V4; #156 ), references = 1, size of lhs = 4:
% 7.73/7.95 pppp25-{F}(V0), P_empty-{F}(V1), P_head_of-{F}(V0,V2), P_tail_of-{F}(V0,V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #173: mergings( V11 == V13, V9 == V10, V10 == V12, V2 == V3, V3 == V4; #167 ), references = 1, size of lhs = 12:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp4-{F}(V4,V5), P_tail_of-{F}(V5,V6), P_head_of-{F}(V5,V7), P_path_cons-{F}(V5,V0,V8), P_number_of_in-{F}(V2,V8,V9), P_length_of-{F}(V8,V10), P_minus-{F}(V10,V3,V11), V9 == V11 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #182: exists( #98, #178 ), references = 1, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), pppp4-{F}(V1,V2), P_tail_of-{F}(V2,V3) | P_head_of-{T}(V1,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #183: exists( #98, #176 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), pppp4-{F}(V1,V2), P_head_of-{F}(V2,V3), pppp1-{F}(V2,V4,V5) | P_head_of-{T}(V1,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #184: exists( #98, #177 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), pppp4-{F}(V1,V2), P_head_of-{F}(V2,V3), pppp0-{F}(V2,V4,V5) | P_head_of-{T}(V1,V5)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #197: exists( #103, #78 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), path-{F}(V4,V5,V2) | P_number_of_in-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #202: exists( #106, #79 ), references = 1, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_number_of_in-{F}(V2,V4,V5), P_length_of-{F}(V4,V6), path-{F}(V7,V8,V4) | P_minus-{T}(V6,V3,V5)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #216: exists( #99, #36 ), references = 3, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp13-{F}(V0,V2,V3), V3 == V1 | P_tail_of-{T}(V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #235: exists( #96, #233 ), references = 4, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_tail_of-{F}(V3,V2), P_head_of-{F}(V3,V4), P_head_of-{F}(V5,V4), precedes-{F}(V1,V5,V6), pppp22-{F}(V6,V7) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #237: exists( #93, #234 ), references = 4, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_tail_of-{F}(V3,V2), P_head_of-{F}(V3,V4), P_head_of-{F}(V5,V4), precedes-{F}(V1,V5,V6), pppp23-{F}(V6,V7,V8) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #258: exists( #98, #256 ), references = 1, size of lhs = 3:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V3,V4), V4 == V2 | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #276: mergings( V1 == V8; #273 ), references = 1, size of lhs = 12:
% 7.73/7.95 vertex-{F}(V0), vertex-{F}(V1), edge-{F}(V2), P_tail_of-{F}(V2,V1), P_head_of-{F}(V2,V3), path-{F}(V3,V0,V4), P_path_cons-{F}(V2,V4,V5), P_empty-{F}(V6), P_edges-{F}(V7), P_length_of-{F}(V5,V8), P_number_of_in-{F}(V7,V5,V9), V8 == V9 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #278: mergings( V1 == V8; #274 ), references = 2, size of lhs = 15:
% 7.73/7.95 vertex-{F}(V0), vertex-{F}(V1), edge-{F}(V2), P_tail_of-{F}(V2,V1), P_head_of-{F}(V2,V3), path-{F}(V3,V0,V4), P_path_cons-{F}(V2,V4,V5), P_empty-{F}(V6), P_edges-{F}(V7), P_sequential_pairs-{F}(V8), P_n1-{F}(V9), P_number_of_in-{F}(V8,V5,V10), P_length_of-{F}(V5,V11), P_minus-{F}(V11,V9,V12), V10 == V12 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #283: disj( #6, input ), references = 4, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp8-{F}(V0,V3,V4), V4 == V1 | pppp0-{T}(V0,V3,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #285: mergings( V2 == V3; #282 ), references = 3, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp8-{F}(V0,V3,V1), V3 == V2 | pppp0-{T}(V0,V3,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #314: exists( #98, #311 ), references = 1, size of lhs = 3:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V4), V4 == V2 | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #321: disj( #313, #216+#285+#12 ), references = 1, size of lhs = 7:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V4), V4 == V2, pppp8-{F}(V0,V5,V4), pppp13-{F}(V0,V6,V7), V5 == V7, V4 == V7 | P_head_of-{T}(V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #322: disj( #313, #216+#285+#11 ), references = 1, size of lhs = 8:
% 7.73/7.95 pppp13-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V4), V4 == V2, pppp8-{F}(V0,V5,V4), V5 == V4, pppp13-{F}(V0,V6,V7), V7 == V4, V5 == V7 | P_head_of-{T}(V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #342: mergings( V2 == V3; #339 ), references = 3, size of lhs = 4:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V2,V3), V3 == V1, V2 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #345: mergings( V2 == V3, V4 == V3; #340 ), references = 15, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V1,V2), V2 == V1 | P_tail_of-{T}(V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #353: exists( #98, #342 ), references = 4, size of lhs = 1:
% 7.73/7.95 pppp8-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #387: disj( #353, #345+#11 ), references = 1, size of lhs = 5:
% 7.73/7.95 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V2,V3), V3 == V2, pppp0-{F}(V0,V4,V5), V4 == V2 | P_head_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #389: mergings( V4 == V2; #386 ), references = 1, size of lhs = 5:
% 7.73/7.95 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V2,V3), V3 == V2, pppp0-{F}(V0,V2,V4), V4 == V3 | P_head_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #399: disj( #6, #385+#345+#237 ), references = 1, size of lhs = 12:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V3,V4), V2 == V4, pppp8-{F}(V5,V4,V2), pppp8-{F}(V5,V4,V6), pppp8-{F}(V5,V6,V7), V7 == V6, precedes-{F}(V1,V3,V8), pppp8-{F}(V5,V9,V10), V9 == V6, pppp23-{F}(V8,V11,V12) | pppp1-{T}(V5,V9,V10)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #400: disj( #6, #385+#345+#235 ), references = 1, size of lhs = 12:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V3,V4), V2 == V4, pppp8-{F}(V5,V4,V2), pppp8-{F}(V5,V4,V6), pppp8-{F}(V5,V6,V7), V7 == V6, precedes-{F}(V1,V3,V8), pppp22-{F}(V8,V9), pppp8-{F}(V5,V10,V11), V10 == V6 | pppp1-{T}(V5,V10,V11)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #410: disj( #353, #345+#8 ), references = 1, size of lhs = 5:
% 7.73/7.95 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V2,V3), V3 == V2, pppp1-{F}(V0,V4,V5), V5 == V2 | P_head_of-{T}(V0,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #435: disj( #353, #345+#237 ), references = 5, size of lhs = 8:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V3,V4), V2 == V4, pppp8-{F}(V5,V4,V2), pppp8-{F}(V5,V4,V6), precedes-{F}(V1,V3,V7), pppp23-{F}(V7,V8,V9) | P_head_of-{T}(V5,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #436: disj( #353, #345+#235 ), references = 1, size of lhs = 8:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V3,V4), V2 == V4, pppp8-{F}(V5,V4,V2), pppp8-{F}(V5,V4,V6), precedes-{F}(V1,V3,V7), pppp22-{F}(V7,V8) | P_head_of-{T}(V5,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #456: exists( #99, #11 ), references = 5, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp0-{F}(V0,V2,V3), V2 == V1 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #458: mergings( V3 == V2; #455 ), references = 1, size of lhs = 2:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | P_tail_of-{T}(V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #461: mergings( V2 == V3; #459 ), references = 2, size of lhs = 3:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V2,V1), V2 == V1 | pppp1-{T}(V0,V2,V1)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #482: exists( #99, #9 ), references = 2, size of lhs = 2:
% 7.73/7.95 P_head_of-{F}(V0,V1), pppp1-{F}(V0,V2,V3) | P_tail_of-{T}(V0,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #503: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11; #496 ), references = 1, size of lhs = 15:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_empty-{F}(V4), P_head_of-{F}(V5,V1), P_tail_of-{F}(V6,V0), precedes-{F}(V6,V5,V7), pppp23-{F}(V7,V8,V9) | pppp9-{T}(V1,V0,V2), pppp9-{T}(V1,V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #523: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V16, V14 == V20, V15 == V21, V13 == V19; #512 ), references = 1, size of lhs = 20:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_head_of-{F}(V4,V1), P_tail_of-{F}(V5,V0), precedes-{F}(V5,V4,V6), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), P_head_of-{F}(V9,V1), precedes-{F}(V8,V9,V6), pppp23-{F}(V6,V10,V11), pppp0-{F}(V2,V12,V13), V12 == V0 | pppp9-{T}(V1,V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #557: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V14, V14 == V17, V20 == V22, V21 == V23, V13 == V16, V22 == V26, V23 == V27, V16 == V19; #540 ), references = 1, size of lhs = 18:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), edge-{F}(V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), precedes-{F}(V4,V2,V5), P_tail_of-{F}(V6,V0), precedes-{F}(V6,V2,V5), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), precedes-{F}(V8,V2,V5), pppp0-{F}(V1,V9,V10), V9 == V0, pppp23-{F}(V5,V11,V12) | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #573: mergings( V2 == V11, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V18, V21 == V23, V22 == V24, V14 == V17, V23 == V27, V24 == V28, V17 == V20; #541 ), references = 1, size of lhs = 18:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), edge-{F}(V2), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), precedes-{F}(V4,V2,V5), P_tail_of-{F}(V6,V0), precedes-{F}(V6,V2,V5), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), precedes-{F}(V8,V2,V5), pppp0-{F}(V1,V9,V10), V9 == V0, pppp23-{F}(V5,V11,V12) | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #589: mergings( V2 == V11, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V18, V21 == V23, V22 == V24, V14 == V17, V23 == V27, V24 == V28, V17 == V20; #542 ), references = 1, size of lhs = 18:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), edge-{F}(V2), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), precedes-{F}(V4,V2,V5), P_tail_of-{F}(V6,V0), precedes-{F}(V6,V2,V5), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), precedes-{F}(V8,V2,V5), pppp0-{F}(V1,V9,V10), V9 == V0, pppp23-{F}(V5,V11,V12) | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #602: mergings( V1 == V11; #600 ), references = 1, size of lhs = 20:
% 7.73/7.95 vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), P_head_of-{F}(V1,V2), vertex-{F}(V3), path-{F}(V2,V3,V4), P_path_cons-{F}(V1,V4,V5), vertex-{F}(V6), edge-{F}(V7), P_tail_of-{F}(V7,V6), P_head_of-{F}(V7,V0), P_path_cons-{F}(V7,V5,V8), P_empty-{F}(V9), P_edges-{F}(V10), P_sequential_pairs-{F}(V11), P_n1-{F}(V12), P_number_of_in-{F}(V11,V8,V13), P_length_of-{F}(V8,V14), P_minus-{F}(V14,V12,V15), V13 == V15 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #612: exists( #99, #610 ), references = 1, size of lhs = 1:
% 7.73/7.95 pppp11-{F}(V0,V1,V2,V3) | P_tail_of-{T}(V3,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #621: exists( #100, #26 ), references = 1, size of lhs = 1:
% 7.73/7.95 pppp12-{F}(V0,V1,V2,V3,V4) | P_path_cons-{T}(V0,V3,V2)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #643: mergings( V3 == V4, V4 == V5, V7 == V8; #638 ), references = 2, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), pppp22-{F}(V2,V3), P_length_of-{F}(V2,V4), P_number_of_in-{F}(V1,V2,V5), V4 == V5 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #647: mergings( V3 == V4, V4 == V5, V9 == V11; #639 ), references = 2, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp22-{F}(V4,V5), P_number_of_in-{F}(V2,V4,V6), P_length_of-{F}(V4,V7), P_minus-{F}(V7,V3,V8), V6 == V8 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #653: mergings( V4 == V5, V5 == V6, V8 == V9; #648 ), references = 2, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), P_number_of_in-{F}(V1,V2,V4), V3 == V4, pppp23-{F}(V2,V5,V6) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #657: mergings( V4 == V5, V5 == V6, V10 == V12; #649 ), references = 3, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_number_of_in-{F}(V2,V4,V5), P_length_of-{F}(V4,V6), P_minus-{F}(V6,V3,V7), V5 == V7, pppp23-{F}(V4,V8,V9) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #670: exists( #103, #653 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), pppp23-{F}(V2,V4,V5) | P_number_of_in-{T}(V1,V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #671: exists( #103, #657 ), references = 1, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_length_of-{F}(V4,V5), P_minus-{F}(V5,V3,V6), pppp23-{F}(V4,V7,V8) | P_number_of_in-{T}(V2,V4,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #672: exists( #103, #643 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), pppp22-{F}(V2,V3), P_length_of-{F}(V2,V4) | P_number_of_in-{T}(V1,V2,V4)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #678: mergings( V1 == V8; #676 ), references = 1, size of lhs = 12:
% 7.73/7.95 vertex-{F}(V0), vertex-{F}(V1), edge-{F}(V2), P_tail_of-{F}(V2,V1), P_head_of-{F}(V2,V3), path-{F}(V3,V0,V4), P_path_cons-{F}(V2,V4,V5), P_empty-{F}(V6), P_head_of-{F}(V7,V1), P_path_cons-{F}(V7,V5,V8), pppp2-{F}(V7,V0,V8), pppp10-{F}(V7,V9,V0,V8,V10) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #738: mergings( V3 == V4, V4 == V5, V5 == V6; #732 ), references = 1, size of lhs = 10:
% 7.73/7.95 P_empty-{F}(V0), on_path-{F}(V1,V2), pppp22-{F}(V2,V3), P_length_of-{F}(V2,V4), sequential-{F}(V1,V5), on_path-{F}(V5,V2), P_tail_of-{F}(V1,V6), P_head_of-{F}(V5,V7), P_tail_of-{F}(V8,V6), P_head_of-{F}(V8,V7) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #743: mergings( V3 == V4, V4 == V5, V5 == V6, V1 == V13; #733 ), references = 1, size of lhs = 10:
% 7.73/7.95 P_empty-{F}(V0), on_path-{F}(V1,V2), P_length_of-{F}(V2,V3), sequential-{F}(V1,V4), on_path-{F}(V4,V2), P_tail_of-{F}(V1,V5), P_tail_of-{F}(V6,V5), P_head_of-{F}(V6,V7), P_head_of-{F}(V4,V7), pppp22-{F}(V2,V8) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #747: mergings( V3 == V4, V4 == V5, V5 == V6; #734 ), references = 1, size of lhs = 11:
% 7.73/7.95 P_empty-{F}(V0), on_path-{F}(V1,V2), pppp22-{F}(V2,V3), P_length_of-{F}(V2,V4), sequential-{F}(V1,V5), on_path-{F}(V5,V2), P_tail_of-{F}(V1,V6), P_tail_of-{F}(V7,V6), P_head_of-{F}(V7,V8), P_head_of-{F}(V5,V8), pppp23-{F}(V2,V9,V10) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #757: mergings( V3 == V4, V4 == V5, V5 == V6; #751 ), references = 5, size of lhs = 11:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), on_path-{F}(V1,V3), pppp22-{F}(V3,V4), P_length_of-{F}(V3,V5), sequential-{F}(V1,V6), on_path-{F}(V6,V3), P_head_of-{F}(V6,V7), V2 == V7, pppp8-{F}(V8,V7,V2), pppp8-{F}(V8,V7,V9) | P_head_of-{T}(V8,V9)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #762: mergings( V3 == V4, V4 == V5, V5 == V6, V10 == V13; #752 ), references = 1, size of lhs = 11:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), on_path-{F}(V1,V3), P_length_of-{F}(V3,V4), sequential-{F}(V1,V5), on_path-{F}(V5,V3), P_head_of-{F}(V5,V6), V2 == V6, pppp8-{F}(V7,V6,V2), pppp8-{F}(V7,V6,V8), pppp22-{F}(V3,V9) | P_head_of-{T}(V7,V8)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #766: mergings( V3 == V4, V4 == V5, V5 == V6; #753 ), references = 1, size of lhs = 12:
% 7.73/7.95 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), on_path-{F}(V1,V3), pppp22-{F}(V3,V4), P_length_of-{F}(V3,V5), sequential-{F}(V1,V6), on_path-{F}(V6,V3), P_head_of-{F}(V6,V7), V2 == V7, pppp8-{F}(V8,V7,V2), pppp8-{F}(V8,V7,V9), pppp23-{F}(V3,V10,V11) | P_head_of-{T}(V8,V9)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #790: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14; #780 ), references = 1, size of lhs = 18:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_empty-{F}(V4), P_tail_of-{F}(V5,V0), on_path-{F}(V5,V6), pppp22-{F}(V6,V7), P_length_of-{F}(V6,V8), sequential-{F}(V5,V9), on_path-{F}(V9,V6), P_head_of-{F}(V9,V1) | pppp9-{T}(V1,V0,V2), pppp9-{T}(V1,V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #810: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V19; #799 ), references = 1, size of lhs = 27:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), pppp22-{F}(V5,V6), P_length_of-{F}(V5,V7), sequential-{F}(V4,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V11), pppp22-{F}(V11,V12), P_length_of-{F}(V11,V13), sequential-{F}(V10,V14), on_path-{F}(V14,V11), P_head_of-{F}(V14,V1), pppp0-{F}(V2,V15,V16), V15 == V0 | pppp9-{T}(V1,V0,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #838: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V19, V19 == V23, V17 == V21, V21 == V25; #822 ), references = 1, size of lhs = 29:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), edge-{F}(V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), pppp22-{F}(V5,V11), sequential-{F}(V10,V12), on_path-{F}(V12,V5), P_head_of-{F}(V12,V1), pppp0-{F}(V2,V13,V14), V13 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #853: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V19, V19 == V23, V17 == V21, V21 == V25, V29 == V3; #823 ), references = 1, size of lhs = 30:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), pppp22-{F}(V5,V11), sequential-{F}(V10,V12), on_path-{F}(V12,V5), P_head_of-{F}(V12,V1), pppp0-{F}(V3,V1,V13), pppp0-{F}(V2,V14,V15), V14 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #867: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V19, V19 == V23, V17 == V21, V21 == V25; #824 ), references = 1, size of lhs = 31:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), pppp22-{F}(V5,V11), sequential-{F}(V10,V12), on_path-{F}(V12,V5), P_head_of-{F}(V12,V1), pppp0-{F}(V2,V13,V14), V13 == V0, pppp1-{F}(V3,V15,V16), V16 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #882: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V23; #868 ), references = 1, size of lhs = 29:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), edge-{F}(V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), sequential-{F}(V10,V11), on_path-{F}(V11,V5), P_head_of-{F}(V11,V1), pppp23-{F}(V5,V12,V13), pppp0-{F}(V2,V14,V15), V14 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #895: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V23, V28 == V5; #869 ), references = 1, size of lhs = 30:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), sequential-{F}(V10,V11), on_path-{F}(V11,V5), P_head_of-{F}(V11,V1), pppp0-{F}(V3,V1,V12), pppp23-{F}(V5,V13,V14), pppp0-{F}(V2,V15,V16), V15 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #907: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V23; #870 ), references = 1, size of lhs = 31:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V0 == V1, edge-{F}(V2), P_tail_of-{F}(V2,V0), edge-{F}(V3), sequential-{F}(V2,V3), pppp24-{F}(V2,V3), P_head_of-{F}(V3,V1), P_tail_of-{F}(V4,V0), on_path-{F}(V4,V5), sequential-{F}(V4,V6), on_path-{F}(V6,V5), P_head_of-{F}(V6,V1), P_tail_of-{F}(V7,V0), on_path-{F}(V7,V5), sequential-{F}(V7,V8), on_path-{F}(V8,V5), P_head_of-{F}(V8,V1), P_empty-{F}(V9), P_tail_of-{F}(V10,V0), on_path-{F}(V10,V5), sequential-{F}(V10,V11), on_path-{F}(V11,V5), P_head_of-{F}(V11,V1), pppp23-{F}(V5,V12,V13), pppp0-{F}(V2,V14,V15), V14 == V0, pppp1-{F}(V3,V16,V17), V17 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #927: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V17, V17 == V19; #913 ), references = 1, size of lhs = 22:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), edge-{F}(V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), sequential-{F}(V4,V2), on_path-{F}(V4,V5), on_path-{F}(V2,V5), P_tail_of-{F}(V6,V0), on_path-{F}(V6,V5), sequential-{F}(V6,V2), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), on_path-{F}(V8,V5), sequential-{F}(V8,V2), pppp23-{F}(V5,V9,V10), pppp0-{F}(V1,V11,V12), V11 == V0 | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #940: mergings( V2 == V14, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V18, V18 == V20; #914 ), references = 1, size of lhs = 22:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), edge-{F}(V2), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), sequential-{F}(V4,V2), on_path-{F}(V4,V5), on_path-{F}(V2,V5), P_tail_of-{F}(V6,V0), on_path-{F}(V6,V5), sequential-{F}(V6,V2), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), on_path-{F}(V8,V5), sequential-{F}(V8,V2), pppp23-{F}(V5,V9,V10), pppp0-{F}(V1,V11,V12), V11 == V0 | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #953: mergings( V2 == V14, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V18, V18 == V20; #915 ), references = 1, size of lhs = 22:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V0), edge-{F}(V2), sequential-{F}(V1,V2), pppp24-{F}(V1,V2), P_tail_of-{F}(V2,V3), P_tail_of-{F}(V4,V0), sequential-{F}(V4,V2), on_path-{F}(V4,V5), on_path-{F}(V2,V5), P_tail_of-{F}(V6,V0), on_path-{F}(V6,V5), sequential-{F}(V6,V2), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), on_path-{F}(V8,V5), sequential-{F}(V8,V2), pppp23-{F}(V5,V9,V10), pppp0-{F}(V1,V11,V12), V11 == V0 | P_head_of-{T}(V2,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #966: exists( #106, #657 ), references = 1, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_number_of_in-{F}(V2,V4,V5), P_length_of-{F}(V4,V6), pppp23-{F}(V4,V7,V8) | P_minus-{T}(V6,V3,V5)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #967: exists( #106, #647 ), references = 1, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp22-{F}(V4,V5), P_number_of_in-{F}(V2,V4,V6), P_length_of-{F}(V4,V7) | P_minus-{T}(V7,V3,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1011: disj( #21, input ), references = 1, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_path_cons-{F}(V1,V0,V3), pppp10-{F}(V1,V4,V5,V6,V7), V5 == V2 | pppp3-{T}(V1,V5,V6)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1013: mergings( V2 == V6; #1010 ), references = 1, size of lhs = 5:
% 7.73/7.95 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_path_cons-{F}(V1,V0,V3), pppp10-{F}(V1,V4,V2,V5,V6), V5 == V3 | pppp3-{T}(V1,V2,V5)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1043: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1038 ), references = 1, size of lhs = 9:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2), sequential-{F}(V2,V1), on_path-{F}(V2,V3), on_path-{F}(V1,V3), pppp22-{F}(V3,V4), P_length_of-{F}(V3,V5), P_tail_of-{F}(V1,V6), P_head_of-{F}(V2,V7) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1049: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1044 ), references = 1, size of lhs = 8:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2), sequential-{F}(V2,V1), on_path-{F}(V2,V3), on_path-{F}(V1,V3), pppp22-{F}(V3,V4), P_tail_of-{F}(V1,V5), P_head_of-{F}(V2,V6) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1055: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1050 ), references = 2, size of lhs = 8:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2), sequential-{F}(V2,V1), on_path-{F}(V2,V3), on_path-{F}(V1,V3), P_tail_of-{F}(V1,V4), P_head_of-{F}(V2,V5), pppp23-{F}(V3,V6,V7) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1083: mergings( V3 == V25, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V13 == V0; #1062 ), references = 1, size of lhs = 12:
% 7.73/7.95 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V2), edge-{F}(V3), V1 == V3, pppp24-{F}(V3,V1), sequential-{F}(V3,V1), P_tail_of-{F}(V3,V0), P_empty-{F}(V4), pppp0-{F}(V3,V5,V6), V5 == V0 | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1106: mergings( V2 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24; #1086 ), references = 1, size of lhs = 9:
% 7.73/7.95 complete-{F}(), edge-{F}(V0), P_tail_of-{F}(V0,V1), edge-{F}(V2), V0 == V2, pppp24-{F}(V2,V0), sequential-{F}(V2,V0), P_head_of-{F}(V2,V3), P_empty-{F}(V4) | P_tail_of-{T}(V2,V3)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1139: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22; #1117 ), references = 1, size of lhs = 6:
% 7.73/7.95 complete-{F}(), P_empty-{F}(V0), pppp24-{F}(V1,V2), V2 == V1, sequential-{F}(V1,V2), pppp4-{F}(V1,V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1167: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23; #1144 ), references = 1, size of lhs = 3:
% 7.73/7.95 complete-{F}(), pppp25-{F}(V0), P_empty-{F}(V1) | pppp24-{T}(V0,V0)
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1169: exists( #99, #1055 ), references = 1, size of lhs = 7:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2), sequential-{F}(V2,V1), on_path-{F}(V2,V3), on_path-{F}(V1,V3), P_head_of-{F}(V2,V4), pppp23-{F}(V3,V5,V6) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1171: exists( #98, #1168 ), references = 1, size of lhs = 6:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V2), sequential-{F}(V2,V1), on_path-{F}(V2,V3), on_path-{F}(V1,V3), pppp23-{F}(V3,V4,V5) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1174: exists( #90, #1172 ), references = 1, size of lhs = 3:
% 7.73/7.95 P_empty-{F}(V0), sequential-{F}(V1,V1), pppp24-{F}(V2,V1) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1201: mergings( V0 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29; #1177 ), references = 1, size of lhs = 7:
% 7.73/7.95 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_graph-{F}(V4), P_empty-{F}(V5) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1232: mergings( V1 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #1203 ), references = 1, size of lhs = 5:
% 7.73/7.95 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1261: mergings( V1 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V2 == V6, V3 == V7, V4 == V8; #1233 ), references = 1, size of lhs = 4:
% 7.73/7.95 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_empty-{F}(V3) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1289: mergings( V1 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V2 == V5, V3 == V6; #1262 ), references = 1, size of lhs = 3:
% 7.73/7.95 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_empty-{F}(V2) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1316: mergings( V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V2 == V4; #1290 ), references = 1, size of lhs = 2:
% 7.73/7.95 P_edges-{F}(V0), P_empty-{F}(V1) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1342: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25; #1317 ), references = 1, size of lhs = 1:
% 7.73/7.95 P_empty-{F}(V0) | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 #1344: exists( #101, #1317 ), references = 1, size of lhs = 0:
% 7.73/7.95 FALSE | FALSE
% 7.73/7.95 (used 0 times, uses = {})
% 7.73/7.95
% 7.73/7.95 number of learnt formulas = 87
% 7.73/7.95
% 7.73/7.95
% 7.73/7.95 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.73/7.95
% 7.73/7.95 randbase = 1
%------------------------------------------------------------------------------