%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRA006+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 36.64s 36.82s
% Output : Refutation 36.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRA006+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.11/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 07:48:06 EDT 2022
% 0.11/0.32 % CPUTime :
% 36.64/36.82 GeoParameters:
% 36.64/36.82
% 36.64/36.82 tptp_input = 1
% 36.64/36.82 tptp_output = 0
% 36.64/36.82 nonempty = 1
% 36.64/36.82 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.64/36.82 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 36.64/36.82
% 36.64/36.82
% 36.64/36.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.64/36.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.64/36.82
% 36.64/36.82 RuleSystem INPUT:
% 36.64/36.82
% 36.64/36.82 Initial Rules:
% 36.64/36.82 #0: input, references = 4, size of lhs = 3:
% 36.64/36.82 P_head_of-{F}(V0,V2), P_tail_of-{F}(V0,V2), edge-{F}(V0) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #1: input, references = 17, size of lhs = 3:
% 36.64/36.82 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #2: input, references = 17, size of lhs = 3:
% 36.64/36.82 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #3: input, references = 4, size of lhs = 4:
% 36.64/36.82 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0 | EXISTS V2: pppp11-{T}(V1,V0,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #4: input, references = 6, size of lhs = 1:
% 36.64/36.82 pppp11-{F}(V0,V1,V2) | pppp10-{T}(V2,V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #5: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp10-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V2) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #6: input, references = 8, size of lhs = 1:
% 36.64/36.82 pppp10-{F}(V0,V1,V2) | pppp0-{T}(V0,V1,V2), pppp1-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #7: input, references = 6, size of lhs = 1:
% 36.64/36.82 pppp10-{F}(V0,V1,V2) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #8: input, references = 7, size of lhs = 4:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #9: input, references = 4, size of lhs = 4:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V1 == V4 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #10: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp1-{T}(V0,V4,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #11: input, references = 5, size of lhs = 4:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V1 == V3 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #12: input, references = 4, size of lhs = 4:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V2 == V4 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #13: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp0-{T}(V0,V3,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #14: input, references = 14, size of lhs = 7:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #15: input, references = 9, size of lhs = 9:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #16: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #17: input, references = 9, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #18: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), path-{F}(V1,V2,V3) | EXISTS V4: pppp13-{T}(V1,V2,V3,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #19: input, references = 5, size of lhs = 2:
% 36.64/36.82 pppp13-{F}(V0,V1,V2,V3), P_tail_of-{F}(V3,V4) | pppp12-{T}(V3,V0,V1,V2,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #20: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp12-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V2,V3), pppp2-{F}(V0,V2,V3) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #21: input, references = 5, size of lhs = 1:
% 36.64/36.82 pppp12-{F}(V0,V1,V2,V3,V4) | pppp2-{T}(V0,V2,V3), pppp3-{T}(V0,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #22: input, references = 5, size of lhs = 2:
% 36.64/36.82 pppp12-{F}(V0,V1,V2,V3,V4), V1 == V4 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #23: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp12-{F}(V0,V1,V2,V3,V4) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #24: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_head_of-{F}(V1,V4), pppp3-{F}(V1,V2,V3) | EXISTS V5: pppp14-{T}(V1,V2,V3,V5,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #25: input, references = 3, size of lhs = 4:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #26: input, references = 4, size of lhs = 3:
% 36.64/36.82 pppp14-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5), V2 == V5 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #27: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp14-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5) | path-{T}(V4,V1,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #28: input, references = 4, size of lhs = 5:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #29: input, references = 4, size of lhs = 5:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #30: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V0,V5) | pppp2-{T}(V1,V4,V5)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #31: input, references = 29, size of lhs = 5:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #32: input, references = 3, size of lhs = 5:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #33: input, references = 3, size of lhs = 5:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #34: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | vertex-{T}(V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #35: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | EXISTS V5: pppp15-{T}(V5,V1,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #36: input, references = 4, size of lhs = 5:
% 36.64/36.82 pppp15-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), V2 == V3, V2 == V4 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #37: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp15-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | on_path-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #38: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), sequential-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #39: input, references = 4, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), pppp4-{F}(V1,V2) | sequential-{T}(V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #40: input, references = 4, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_head_of-{F}(V1,V3), P_tail_of-{F}(V2,V4) | pppp16-{T}(V1,V2,V3,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #41: input, references = 4, size of lhs = 4:
% 36.64/36.82 pppp16-{F}(V0,V1,V3,V3), edge-{F}(V0), edge-{F}(V1), V0 == V1 | pppp4-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #42: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp16-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1), V2 == V3 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #43: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp16-{F}(V1,V1,V2,V3), pppp4-{F}(V1,V1) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #44: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp16-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #45: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp16-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #46: input, references = 4, size of lhs = 5:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #47: input, references = 3, size of lhs = 6:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #48: input, references = 19, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), precedes-{F}(V2,V3,V1), path-{F}(V5,V4,V1) | pppp17-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #49: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp17-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), sequential-{F}(V1,V2) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #50: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp17-{F}(V0,V1,V2) | sequential-{T}(V1,V2), pppp5-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #51: input, references = 14, size of lhs = 1:
% 36.64/36.82 pppp17-{F}(V0,V1,V2) | on_path-{T}(V2,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #52: input, references = 18, size of lhs = 1:
% 36.64/36.82 pppp17-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #53: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), pppp5-{F}(V1,V2,V3) | EXISTS V4: pppp18-{T}(V1,V2,V3,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #54: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), sequential-{F}(V2,V4), precedes-{F}(V4,V3,V1) | pppp5-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #55: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp18-{F}(V0,V1,V2,V3) | precedes-{T}(V3,V2,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #56: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp18-{F}(V0,V1,V2,V3) | sequential-{T}(V1,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #57: input, references = 21, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), shortest_path-{F}(V1,V2,V3) | pppp6-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #58: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), pppp6-{F}(V1,V2,V3) | shortest_path-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #59: input, references = 21, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V1,V2,V3) | path-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #60: input, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V2,V2,V3) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #61: input, references = 3, size of lhs = 5:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #62: input, references = 3, size of lhs = 4:
% 36.64/36.82 P_empty-{F}(V0), P_length_of-{F}(V3,V4), path-{F}(V1,V2,V3), V1 == V2 | pppp6-{T}(V1,V2,V3), pppp30-{T}(V1,V2,V4)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #63: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp30-{F}(V0,V1,V2) | EXISTS V3: pppp19-{T}(V0,V1,V3,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #64: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp19-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4), less_or_equal-{F}(V3,V4) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #65: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp19-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4) | path-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #66: input, references = 6, size of lhs = 7:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #67: input, references = 4, size of lhs = 6:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #68: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), triangle-{F}(V1,V2,V3) | pppp7-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #69: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | triangle-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #70: input, references = 3, size of lhs = 2:
% 36.64/36.82 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | pppp20-{T}(V1,V2,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #71: input, references = 3, size of lhs = 7:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #72: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | sequential-{T}(V2,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #73: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #74: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | sequential-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #75: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | edge-{T}(V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #76: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | edge-{T}(V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #77: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp20-{F}(V0,V1,V2) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #78: input, references = 10, size of lhs = 6:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #79: input, references = 12, size of lhs = 9:
% 36.64/36.82 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
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #80: input, references = 3, size of lhs = 9:
% 36.64/36.82 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: pppp22-{T}(V5,V8)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #81: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V0,V2,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #82: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp22-{F}(V0,V1) | on_path-{T}(V1,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #83: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp21-{F}(V0,V1,V2), triangle-{F}(V1,V2,V3) | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #84: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp21-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #85: input, references = 3, size of lhs = 1:
% 36.64/36.82 pppp21-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #86: input, references = 3, size of lhs = 8:
% 36.64/36.82 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)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #87: input, references = 4, size of lhs = 6:
% 36.64/36.82 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}()
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #88: input, references = 4, size of lhs = 6:
% 36.64/36.82 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: pppp27-{T}(V6)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #89: input, references = 5, size of lhs = 1:
% 36.64/36.82 pppp27-{F}(V0) | EXISTS V1: pppp26-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #90: input, references = 9, size of lhs = 1:
% 36.64/36.82 pppp26-{F}(V0,V1) | EXISTS V2: pppp25-{T}(V2,V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #91: input, references = 6, size of lhs = 2:
% 36.64/36.82 pppp26-{F}(V0,V1), pppp9-{F}(V0,V1) | pppp8-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #92: input, references = 3, size of lhs = 2:
% 36.64/36.82 pppp26-{F}(V0,V1), pppp8-{F}(V0,V1) | pppp9-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #93: input, references = 12, size of lhs = 1:
% 36.64/36.82 pppp25-{F}(V0,V1,V2) | EXISTS V3: pppp24-{T}(V0,V3)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #94: input, references = 11, size of lhs = 1:
% 36.64/36.82 pppp25-{F}(V0,V1,V2) | precedes-{T}(V1,V2,V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #95: input, references = 15, size of lhs = 1:
% 36.64/36.82 pppp24-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V1,V0,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #96: input, references = 22, size of lhs = 1:
% 36.64/36.82 pppp23-{F}(V0,V1,V2) | shortest_path-{T}(V2,V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #97: input, references = 3, size of lhs = 9:
% 36.64/36.82 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_head_of-{F}(V7,V8), P_tail_of-{F}(V6,V9), pppp9-{F}(V6,V7) | EXISTS V10: pppp28-{T}(V10,V8,V9)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #98: input, references = 6, size of lhs = 11:
% 36.64/36.82 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_head_of-{F}(V7,V8), P_tail_of-{F}(V6,V9), P_tail_of-{F}(V10,V8), P_head_of-{F}(V10,V9), edge-{F}(V10) | pppp9-{T}(V6,V7)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #99: input, references = 5, size of lhs = 4:
% 36.64/36.82 pppp28-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4), V4 == V2 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #100: input, references = 5, size of lhs = 4:
% 36.64/36.82 pppp28-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4), V3 == V1 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #101: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp28-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #102: input, references = 4, size of lhs = 9:
% 36.64/36.82 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_tail_of-{F}(V6,V8), P_head_of-{F}(V7,V9), pppp8-{F}(V6,V7) | EXISTS V10: pppp29-{T}(V10,V8,V9)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #103: input, references = 3, size of lhs = 11:
% 36.64/36.82 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_tail_of-{F}(V6,V8), P_head_of-{F}(V7,V9), P_tail_of-{F}(V10,V8), P_head_of-{F}(V10,V9), edge-{F}(V10) | pppp8-{T}(V6,V7)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #104: input, references = 5, size of lhs = 4:
% 36.64/36.82 pppp29-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4), V4 == V2 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #105: input, references = 5, size of lhs = 4:
% 36.64/36.82 pppp29-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4), V3 == V1 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #106: input, references = 3, size of lhs = 3:
% 36.64/36.82 pppp29-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4) | edge-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #107: input, references = 14, size of lhs = 1:
% 36.64/36.82 #-{F} V0 | EXISTS V1: P_head_of-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #108: input, references = 14, size of lhs = 1:
% 36.64/36.82 #-{F} V0 | EXISTS V1: P_tail_of-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #109: input, references = 5, size of lhs = 2:
% 36.64/36.82 #-{F} V0, #-{F} V1 | EXISTS V2: P_path_cons-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #110: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_empty-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #111: input, references = 8, size of lhs = 1:
% 36.64/36.82 #-{F} V0 | EXISTS V1: P_length_of-{T}(V0,V1)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #112: input, references = 8, size of lhs = 2:
% 36.64/36.82 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_in-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #113: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_edges-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #114: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_sequential_pairs-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #115: input, references = 5, size of lhs = 2:
% 36.64/36.82 #-{F} V0, #-{F} V1 | EXISTS V2: P_minus-{T}(V0,V1,V2)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #116: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_n1-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #117: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_triangles-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #118: input, references = 4, size of lhs = 0:
% 36.64/36.82 FALSE | EXISTS V0: P_graph-{T}(V0)
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 number of initial rules = 119
% 36.64/36.82
% 36.64/36.82 Simplifiers:
% 36.64/36.82 #119: unsound, references = 3, size of lhs = 3:
% 36.64/36.82 P_head_of-{F}(V0,V1), P_head_of-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #120: unsound, references = 3, size of lhs = 3:
% 36.64/36.82 P_tail_of-{F}(V0,V1), P_tail_of-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #121: unsound, references = 3, size of lhs = 3:
% 36.64/36.82 P_path_cons-{F}(V0,V1,V2), P_path_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #122: unsound, references = 3, size of lhs = 3:
% 36.64/36.82 P_empty-{F}(V0), P_empty-{F}(V1), V0 == V1 | FALSE
% 36.64/36.82 (used 0 times, uses = {})
% 36.64/36.82
% 36.64/36.82 #123: unsound, references = 3, size of lhs = 3:
% 36.64/36.82 P_length_of-{F}(V0,V1), P_length_of-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #124: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_number_of_in-{F}(V0,V1,V2), P_number_of_in-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #125: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_edges-{F}(V0), P_edges-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #126: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_sequential_pairs-{F}(V0), P_sequential_pairs-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #127: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_minus-{F}(V0,V1,V2), P_minus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #128: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #129: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_triangles-{F}(V0), P_triangles-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #130: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 P_graph-{F}(V0), P_graph-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #131: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V2), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #132: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp11-{F}(V0,V1,V2), pppp11-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #133: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #134: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #135: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #136: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #137: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp14-{F}(V0,V1,V2,V3,V4), pppp14-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #138: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V1,V2), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #139: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #140: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #141: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp18-{F}(V0,V1,V2,V3), pppp18-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #142: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp19-{F}(V0,V1,V2,V3), pppp19-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #143: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V2), V1 == V4 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #144: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V4,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #145: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #146: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp23-{F}(V0,V1,V2), pppp23-{F}(V0,V1,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #147: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V1,V5), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #148: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp24-{F}(V0,V1), pppp24-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #149: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V1,V2), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #150: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V1,V5), V2 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #151: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp25-{F}(V0,V1,V2), pppp25-{F}(V3,V4,V5), V1 == V4 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #152: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp26-{F}(V0,V1), pppp26-{F}(V0,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #153: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp26-{F}(V0,V1), pppp26-{F}(V2,V3), V0 == V2 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #154: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp27-{F}(V0), pppp27-{F}(V1), V0 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #155: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp28-{F}(V0,V1,V2), pppp28-{F}(V3,V1,V2), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #156: unsound, references = 3, size of lhs = 3:
% 36.64/36.83 pppp29-{F}(V0,V1,V2), pppp29-{F}(V3,V1,V2), V0 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 number of simplifiers = 38
% 36.64/36.83
% 36.64/36.83 Learnt:
% 36.64/36.83 #159: exists( #95, #157 ), references = 3, size of lhs = 7:
% 36.64/36.83 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), pppp24-{F}(V6,V7) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #161: exists( #93, #158 ), references = 2, size of lhs = 7:
% 36.64/36.83 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), pppp25-{F}(V6,V7,V8) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #164: exists( #90, #162 ), references = 5, size of lhs = 6:
% 36.64/36.83 P_empty-{F}(V0), pppp26-{F}(V1,V2), P_tail_of-{F}(V1,V3), P_tail_of-{F}(V4,V3), P_head_of-{F}(V4,V5), P_head_of-{F}(V2,V5) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #172: mergings( V3 == V4, V4 == V5, V9 == V11; #168 ), references = 2, size of lhs = 9:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp24-{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
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #177: mergings( V4 == V5, V5 == V6, V10 == V12; #173 ), references = 3, size of lhs = 9:
% 36.64/36.83 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, pppp25-{F}(V4,V8,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #185: mergings( V3 == V4, V4 == V5, V7 == V8; #181 ), references = 2, size of lhs = 6:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), pppp24-{F}(V2,V3), P_length_of-{F}(V2,V4), P_number_of_in-{F}(V1,V2,V5), V4 == V5 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #190: mergings( V3 == V4, V4 == V5, V7 == V8; #186 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), pppp24-{F}(V2,V3), P_length_of-{F}(V2,V4) | P_number_of_in-{T}(V1,V2,V4)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #195: exists( #115, #172 ), references = 1, size of lhs = 7:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp24-{F}(V4,V5), P_number_of_in-{F}(V2,V4,V6), P_length_of-{F}(V4,V7) | P_minus-{T}(V7,V3,V6)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #196: exists( #115, #177 ), references = 1, size of lhs = 7:
% 36.64/36.83 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), pppp25-{F}(V4,V7,V8) | P_minus-{T}(V6,V3,V5)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #211: mergings( V8 == V10, V9 == V10, V3 == V4, V4 == V5, V5 == V6; #205 ), references = 1, size of lhs = 6:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V2), precedes-{F}(V1,V3,V4), pppp24-{F}(V4,V5), P_length_of-{F}(V4,V6) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #218: mergings( V7 == V9, V8 == V9, V2 == V3, V3 == V4, V4 == V5; #212 ), references = 1, size of lhs = 5:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V2), precedes-{F}(V1,V3,V4), pppp24-{F}(V4,V5) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #225: mergings( V9 == V11, V10 == V11, V4 == V5, V5 == V6, V6 == V7; #219 ), references = 1, size of lhs = 5:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V2), precedes-{F}(V1,V3,V4), pppp25-{F}(V4,V5,V6) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #233: mergings( V7 == V9, V8 == V9, V3 == V4, V4 == V5, V5 == V6; #227 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), pppp26-{F}(V1,V2), P_head_of-{F}(V1,V3), P_tail_of-{F}(V1,V3) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #240: mergings( V6 == V8, V7 == V8, V2 == V3, V3 == V4, V4 == V5; #234 ), references = 1, size of lhs = 4:
% 36.64/36.83 pppp27-{F}(V0), P_empty-{F}(V1), P_head_of-{F}(V0,V2), P_tail_of-{F}(V0,V2) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #242: exists( #108, #164 ), references = 2, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), pppp26-{F}(V1,V2), P_head_of-{F}(V1,V3), P_head_of-{F}(V2,V3) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #244: exists( #112, #177 ), references = 1, size of lhs = 7:
% 36.64/36.83 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), pppp25-{F}(V4,V7,V8) | P_number_of_in-{T}(V2,V4,V6)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #246: exists( #93, #185 ), references = 2, size of lhs = 6:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), P_number_of_in-{F}(V1,V2,V4), V3 == V4, pppp25-{F}(V2,V5,V6) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #249: exists( #112, #246 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), pppp25-{F}(V2,V4,V5) | P_number_of_in-{T}(V1,V2,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #269: mergings( V13 == V16, V16 == V18, V14 == V15, V15 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #259 ), references = 1, size of lhs = 14:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V11,V4,V12), pppp24-{F}(V12,V13), P_length_of-{F}(V12,V14) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #280: mergings( V14 == V17, V17 == V19, V15 == V16, V16 == V18, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #270 ), references = 2, size of lhs = 14:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V11,V4,V12), P_length_of-{F}(V12,V13), pppp25-{F}(V12,V14,V15) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #291: mergings( V12 == V15, V15 == V17, V13 == V14, V14 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #281 ), references = 2, size of lhs = 13:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V11,V4,V12), pppp25-{F}(V12,V13,V14) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #303: mergings( V12 == V15, V15 == V17, V13 == V14, V14 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #293 ), references = 2, size of lhs = 12:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp26-{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
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #333: mergings( V1 == V12, V12 == V14, V13 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #322 ), references = 1, size of lhs = 11:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_head_of-{F}(V2,V3), P_tail_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V1,V5,V7), V6 == V7, pppp24-{F}(V8,V3), precedes-{F}(V2,V9,V8), P_length_of-{F}(V8,V10) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #343: mergings( V1 == V14, V14 == V16, V15 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #323 ), references = 1, size of lhs = 14:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, pppp24-{F}(V11,V5), precedes-{F}(V4,V12,V11), P_length_of-{F}(V11,V13) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #375: mergings( V11 == V14, V14 == V16, V12 == V13, V13 == V15, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #364 ), references = 1, size of lhs = 11:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_tail_of-{F}(V2,V3), P_head_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V1,V5,V7), V6 == V7, precedes-{F}(V2,V8,V9), pppp24-{F}(V9,V10), P_length_of-{F}(V9,V11) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #385: mergings( V13 == V16, V16 == V18, V14 == V15, V15 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #365 ), references = 1, size of lhs = 14:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V4,V11,V12), pppp24-{F}(V12,V13), P_length_of-{F}(V12,V14) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #397: mergings( V12 == V15, V15 == V17, V13 == V14, V14 == V16, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #386 ), references = 1, size of lhs = 11:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_tail_of-{F}(V2,V3), P_head_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V1,V5,V7), V6 == V7, precedes-{F}(V2,V8,V9), P_length_of-{F}(V9,V10), pppp25-{F}(V9,V11,V12) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #407: mergings( V14 == V17, V17 == V19, V15 == V16, V16 == V18, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #387 ), references = 1, size of lhs = 14:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V4,V11,V12), P_length_of-{F}(V12,V13), pppp25-{F}(V12,V14,V15) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #419: mergings( V10 == V13, V13 == V15, V11 == V12, V12 == V14, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #408 ), references = 1, size of lhs = 10:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_tail_of-{F}(V2,V3), P_head_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V1,V5,V7), V6 == V7, precedes-{F}(V2,V8,V9), pppp25-{F}(V9,V10,V11) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #429: mergings( V12 == V15, V15 == V17, V13 == V14, V14 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #409 ), references = 1, size of lhs = 13:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_number_of_in-{F}(V2,V7,V8), P_length_of-{F}(V7,V9), P_minus-{F}(V9,V3,V10), V8 == V10, precedes-{F}(V4,V11,V12), pppp25-{F}(V12,V13,V14) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #443: mergings( V10 == V13, V13 == V15, V11 == V12, V12 == V14, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #432 ), references = 1, size of lhs = 9:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), pppp26-{F}(V2,V3), P_tail_of-{F}(V2,V4), P_head_of-{F}(V2,V5), P_path_cons-{F}(V2,V0,V6), P_length_of-{F}(V6,V7), P_number_of_in-{F}(V1,V6,V8), V7 == V8 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #453: mergings( V12 == V15, V15 == V17, V13 == V14, V14 == V16, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #433 ), references = 1, size of lhs = 12:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp26-{F}(V4,V5), P_tail_of-{F}(V4,V6), P_head_of-{F}(V4,V7), P_path_cons-{F}(V4,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
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #524: mergings( V1 == V14, V14 == V16, V21 == V24, V15 == V17, V16 == V22, V22 == V23, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #508 ), references = 1, size of lhs = 15:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_head_of-{F}(V2,V3), P_tail_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_tail_of-{F}(V6,V3), precedes-{F}(V2,V6,V7), pppp24-{F}(V7,V3), P_length_of-{F}(V7,V8), P_head_of-{F}(V6,V9), P_path_cons-{F}(V6,V0,V10), P_path_cons-{F}(V2,V10,V11), P_length_of-{F}(V11,V12), P_number_of_in-{F}(V1,V11,V13), V12 == V13 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #539: mergings( V1 == V16, V16 == V18, V23 == V26, V17 == V19, V18 == V24, V24 == V25, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #509 ), references = 1, size of lhs = 18:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_tail_of-{F}(V8,V5), precedes-{F}(V4,V8,V9), pppp24-{F}(V9,V5), P_length_of-{F}(V9,V10), P_head_of-{F}(V8,V11), P_path_cons-{F}(V8,V0,V12), P_path_cons-{F}(V4,V12,V13), P_number_of_in-{F}(V2,V13,V14), P_length_of-{F}(V13,V15), P_minus-{F}(V15,V3,V16), V14 == V16 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #582: mergings( V1 == V15, V14 == V20, V20 == V23, V23 == V16, V21 == V22, V22 == V24, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #566 ), references = 1, size of lhs = 15:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_head_of-{F}(V2,V3), P_tail_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_head_of-{F}(V6,V4), precedes-{F}(V6,V2,V7), pppp24-{F}(V7,V3), P_length_of-{F}(V7,V8), P_tail_of-{F}(V6,V9), P_path_cons-{F}(V6,V0,V10), P_path_cons-{F}(V6,V5,V11), P_length_of-{F}(V11,V12), P_number_of_in-{F}(V1,V11,V13), V12 == V13 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #597: mergings( V1 == V17, V16 == V22, V22 == V25, V25 == V18, V23 == V24, V24 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #567 ), references = 1, size of lhs = 18:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_head_of-{F}(V4,V5), P_tail_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_head_of-{F}(V8,V6), precedes-{F}(V8,V4,V9), pppp24-{F}(V9,V5), P_length_of-{F}(V9,V10), P_tail_of-{F}(V8,V11), P_path_cons-{F}(V8,V0,V12), P_path_cons-{F}(V8,V7,V13), P_number_of_in-{F}(V2,V13,V14), P_length_of-{F}(V13,V15), P_minus-{F}(V15,V3,V16), V14 == V16 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #686: mergings( V13 == V16, V16 == V18, V22 == V25, V14 == V15, V15 == V17, V18 == V23, V23 == V24, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #670 ), references = 1, size of lhs = 15:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_tail_of-{F}(V2,V3), P_head_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_tail_of-{F}(V6,V4), precedes-{F}(V2,V6,V7), pppp24-{F}(V7,V8), P_length_of-{F}(V7,V9), P_head_of-{F}(V6,V10), P_path_cons-{F}(V6,V0,V11), P_path_cons-{F}(V2,V11,V12), P_length_of-{F}(V12,V13), P_number_of_in-{F}(V1,V12,V14), V13 == V14 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #701: mergings( V15 == V18, V18 == V20, V24 == V27, V16 == V17, V17 == V19, V20 == V25, V25 == V26, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #671 ), references = 1, size of lhs = 18:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_tail_of-{F}(V8,V6), precedes-{F}(V4,V8,V9), pppp24-{F}(V9,V10), P_length_of-{F}(V9,V11), P_head_of-{F}(V8,V12), P_path_cons-{F}(V8,V0,V13), P_path_cons-{F}(V4,V13,V14), P_number_of_in-{F}(V2,V14,V15), P_length_of-{F}(V14,V16), P_minus-{F}(V16,V3,V17), V15 == V17 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #718: mergings( V14 == V17, V17 == V19, V23 == V26, V15 == V16, V16 == V18, V19 == V24, V24 == V25, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #702 ), references = 1, size of lhs = 15:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_tail_of-{F}(V2,V3), P_head_of-{F}(V2,V4), P_path_cons-{F}(V2,V0,V5), P_tail_of-{F}(V6,V4), precedes-{F}(V2,V6,V7), P_length_of-{F}(V7,V8), P_head_of-{F}(V6,V9), P_path_cons-{F}(V6,V0,V10), P_path_cons-{F}(V2,V10,V11), P_length_of-{F}(V11,V12), P_number_of_in-{F}(V1,V11,V13), V12 == V13, pppp25-{F}(V7,V14,V15) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #733: mergings( V16 == V19, V19 == V21, V25 == V28, V17 == V18, V18 == V20, V21 == V26, V26 == V27, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #703 ), references = 1, size of lhs = 18:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_tail_of-{F}(V8,V6), precedes-{F}(V4,V8,V9), P_length_of-{F}(V9,V10), P_head_of-{F}(V8,V11), P_path_cons-{F}(V8,V0,V12), P_path_cons-{F}(V4,V12,V13), P_number_of_in-{F}(V2,V13,V14), P_length_of-{F}(V13,V15), P_minus-{F}(V15,V3,V16), V14 == V16, pppp25-{F}(V9,V17,V18) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #737: exists( #112, #303 ), references = 1, size of lhs = 10:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), pppp26-{F}(V4,V5), P_tail_of-{F}(V5,V6), P_head_of-{F}(V5,V7), P_path_cons-{F}(V5,V0,V8), P_length_of-{F}(V8,V9), P_minus-{F}(V9,V3,V10) | P_number_of_in-{T}(V2,V8,V10)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #738: exists( #112, #291 ), references = 1, size of lhs = 11:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_length_of-{F}(V7,V8), P_minus-{F}(V8,V3,V9), precedes-{F}(V10,V4,V11), pppp25-{F}(V11,V12,V13) | P_number_of_in-{T}(V2,V7,V9)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #739: exists( #112, #280 ), references = 1, size of lhs = 12:
% 36.64/36.83 P_empty-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_tail_of-{F}(V4,V5), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), P_length_of-{F}(V7,V8), P_minus-{F}(V8,V3,V9), precedes-{F}(V10,V4,V11), P_length_of-{F}(V11,V12), pppp25-{F}(V11,V13,V14) | P_number_of_in-{T}(V2,V7,V9)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #749: exists( #108, #36 ), references = 1, size of lhs = 3:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp15-{F}(V0,V2,V3), V3 == V1 | P_tail_of-{T}(V0,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #750: exists( #108, #105 ), references = 4, size of lhs = 2:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp29-{F}(V0,V2,V3) | P_tail_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #754: exists( #107, #752 ), references = 1, size of lhs = 3:
% 36.64/36.83 pppp15-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5,V0), V3 == V2 | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #779: exists( #108, #100 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp28-{F}(V0,V2,V3) | P_tail_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #801: exists( #108, #799 ), references = 1, size of lhs = 1:
% 36.64/36.83 pppp13-{F}(V0,V1,V2,V3) | P_tail_of-{T}(V3,V0)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #833: exists( #107, #100 ), references = 2, size of lhs = 3:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp28-{F}(V0,V2,V3), V1 == V2 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #834: exists( #107, #104 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp29-{F}(V0,V2,V3) | P_head_of-{T}(V0,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #836: mergings( V4 == V2; #830 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp28-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #861: exists( #109, #26 ), references = 1, size of lhs = 1:
% 36.64/36.83 pppp14-{F}(V0,V1,V2,V3,V4) | P_path_cons-{T}(V0,V3,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #873: exists( #108, #833 ), references = 1, size of lhs = 1:
% 36.64/36.83 pppp28-{F}(V0,V1,V2) | P_tail_of-{T}(V0,V1)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #874: exists( #108, #99 ), references = 1, size of lhs = 3:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp28-{F}(V0,V2,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #906: exists( #112, #78 ), references = 1, size of lhs = 4:
% 36.64/36.83 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)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #907: exists( #112, #79 ), references = 1, size of lhs = 7:
% 36.64/36.83 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), path-{F}(V7,V8,V4) | P_number_of_in-{T}(V2,V4,V6)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #912: exists( #109, #28 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp2-{F}(V1,V3,V4), V3 == V2 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #914: mergings( V4 == V3; #911 ), references = 1, size of lhs = 3:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp2-{F}(V1,V2,V3) | P_path_cons-{T}(V1,V0,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #916: exists( #107, #910 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_empty-{F}(V0), pppp2-{F}(V1,V2,V3) | P_head_of-{T}(V1,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #918: exists( #115, #79 ), references = 1, size of lhs = 7:
% 36.64/36.83 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)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #928: disj( #6, input ), references = 2, size of lhs = 4:
% 36.64/36.83 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp10-{F}(V0,V3,V4), V3 == V1 | pppp1-{T}(V0,V3,V4)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #930: mergings( V1 == V3; #927 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp10-{F}(V0,V1,V3), V3 == V2 | pppp1-{T}(V0,V1,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #935: mergings( V7 == V8; #933 ), references = 1, size of lhs = 7:
% 36.64/36.83 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp2-{F}(V1,V3,V4), pppp10-{F}(V1,V5,V6), V5 == V3, V6 == V3, pppp12-{F}(V7,V8,V9,V10,V11) | pppp3-{T}(V7,V9,V10)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #993: mergings( V2 == V3; #991 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp10-{F}(V0,V2,V3) | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1061: exists( #107, #9 ), references = 2, size of lhs = 3:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp1-{F}(V0,V2,V3), V2 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1063: mergings( V3 == V2; #1059 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp1-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1065: disj( #6, exists( #107, #9 ) ), references = 2, size of lhs = 3:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp10-{F}(V0,V2,V3), V2 == V1 | pppp0-{T}(V0,V2,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1081: exists( #107, #12 ), references = 4, size of lhs = 3:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp0-{F}(V0,V2,V3), V3 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1083: mergings( V4 == V2; #1079 ), references = 6, size of lhs = 2:
% 36.64/36.83 P_tail_of-{F}(V0,V1), pppp0-{F}(V0,V2,V1) | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1109: exists( #108, #1081 ), references = 4, size of lhs = 1:
% 36.64/36.83 pppp0-{F}(V0,V1,V2) | P_tail_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1110: exists( #108, #104 ), references = 3, size of lhs = 3:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp29-{F}(V0,V2,V3), V1 == V3 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1120: disj( #6, #1106+#1083+#1110 ), references = 1, size of lhs = 3:
% 36.64/36.83 pppp10-{F}(V0,V1,V2), pppp29-{F}(V0,V3,V4), V1 == V4 | pppp1-{T}(V0,V1,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1122: mergings( V1 == V4; #1119 ), references = 1, size of lhs = 3:
% 36.64/36.83 pppp29-{F}(V0,V1,V2), pppp10-{F}(V0,V2,V3), V3 == V1 | pppp1-{T}(V0,V2,V3)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1126: exists( #107, #1110 ), references = 4, size of lhs = 1:
% 36.64/36.83 pppp29-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1156: exists( #108, #11 ), references = 1, size of lhs = 3:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp0-{F}(V0,V2,V3), V2 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1164: disj( #6, #1153+#1065+#1081 ), references = 1, size of lhs = 4:
% 36.64/36.83 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V3,V4), V3 == V2, V4 == V2 | pppp1-{T}(V0,V1,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1202: exists( #108, #1061 ), references = 4, size of lhs = 1:
% 36.64/36.83 pppp1-{F}(V0,V1,V2) | P_tail_of-{T}(V0,V1)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1203: exists( #108, #8 ), references = 2, size of lhs = 3:
% 36.64/36.83 P_head_of-{F}(V0,V1), pppp1-{F}(V0,V2,V3), V3 == V1 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1273: exists( #107, #1203 ), references = 4, size of lhs = 1:
% 36.64/36.83 pppp1-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1301: disj( #21, exists( #109, #28 ) ), references = 1, size of lhs = 4:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp12-{F}(V1,V3,V4,V5,V6), V4 == V2 | pppp3-{T}(V1,V4,V5)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1303: mergings( V2 == V6; #1300 ), references = 1, size of lhs = 5:
% 36.64/36.83 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_path_cons-{F}(V1,V0,V3), pppp12-{F}(V1,V4,V2,V5,V6), V5 == V3 | pppp3-{T}(V1,V2,V5)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1418: mergings( V0 == V11; #1414 ), references = 1, size of lhs = 12:
% 36.64/36.83 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), P_tail_of-{F}(V6,V7), pppp8-{F}(V6,V8), P_head_of-{F}(V8,V9), P_tail_of-{F}(V10,V7), pppp26-{F}(V10,V11), P_head_of-{F}(V11,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1420: mergings( V0 == V11; #1415 ), references = 1, size of lhs = 13:
% 36.64/36.83 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), P_tail_of-{F}(V6,V7), pppp8-{F}(V6,V8), P_head_of-{F}(V8,V9), P_head_of-{F}(V10,V9), P_tail_of-{F}(V11,V7), precedes-{F}(V11,V10,V12), shortest_path-{F}(V13,V14,V12) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1422: mergings( V0 == V11; #1416 ), references = 1, size of lhs = 13:
% 36.64/36.83 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), P_tail_of-{F}(V6,V7), pppp8-{F}(V6,V8), P_head_of-{F}(V8,V9), P_head_of-{F}(V10,V9), P_tail_of-{F}(V11,V7), precedes-{F}(V11,V10,V12), pppp24-{F}(V12,V13) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1449: mergings( V1 == V19, V2 == V18, V3 == V9, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14, V16 == V20, V17 == V21; #1435 ), references = 1, size of lhs = 11:
% 36.64/36.83 edge-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5), P_empty-{F}(V6), P_tail_of-{F}(V7,V8), pppp26-{F}(V7,V9), P_head_of-{F}(V9,V10), pppp10-{F}(V0,V10,V8) | pppp0-{T}(V0,V10,V8)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1459: mergings( V1 == V19, V2 == V18, V3 == V9, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #1436 ), references = 1, size of lhs = 15:
% 36.64/36.83 edge-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5), P_empty-{F}(V6), pppp26-{F}(V7,V8), P_tail_of-{F}(V7,V9), P_head_of-{F}(V8,V10), pppp10-{F}(V0,V10,V9), P_head_of-{F}(V11,V10), P_tail_of-{F}(V12,V9), precedes-{F}(V12,V11,V13), shortest_path-{F}(V14,V15,V13) | pppp0-{T}(V0,V10,V9)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1469: mergings( V1 == V19, V2 == V18, V3 == V9, V9 == V15, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14; #1437 ), references = 1, size of lhs = 15:
% 36.64/36.83 edge-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5), P_empty-{F}(V6), pppp26-{F}(V7,V8), P_tail_of-{F}(V7,V9), P_head_of-{F}(V8,V10), pppp10-{F}(V0,V10,V9), P_head_of-{F}(V11,V10), P_tail_of-{F}(V12,V9), precedes-{F}(V12,V11,V13), pppp24-{F}(V13,V14) | pppp0-{T}(V0,V10,V9)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1502: mergings( V1 == V20, V0 == V19, V3 == V9, V9 == V15, V15 == V16, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14, V17 == V21, V18 == V22, V21 == V23, V22 == V24; #1485 ), references = 1, size of lhs = 13:
% 36.64/36.83 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, P_edges-{F}(V2), P_sequential_pairs-{F}(V3), P_n1-{F}(V4), P_triangles-{F}(V5), P_graph-{F}(V6), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), pppp26-{F}(V8,V9), P_head_of-{F}(V9,V1) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1515: mergings( V1 == V20, V0 == V19, V3 == V9, V9 == V15, V15 == V16, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14, V17 == V21, V18 == V22; #1486 ), references = 1, size of lhs = 17:
% 36.64/36.83 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, P_edges-{F}(V2), P_sequential_pairs-{F}(V3), P_n1-{F}(V4), P_triangles-{F}(V5), P_graph-{F}(V6), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), pppp26-{F}(V8,V9), P_head_of-{F}(V9,V1), P_tail_of-{F}(V10,V0), P_head_of-{F}(V11,V1), precedes-{F}(V10,V11,V12), shortest_path-{F}(V13,V14,V12) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1528: mergings( V1 == V20, V0 == V19, V3 == V9, V9 == V15, V15 == V16, V4 == V10, V5 == V11, V6 == V12, V7 == V13, V8 == V14, V17 == V21, V18 == V22; #1487 ), references = 1, size of lhs = 17:
% 36.64/36.83 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, P_edges-{F}(V2), P_sequential_pairs-{F}(V3), P_n1-{F}(V4), P_triangles-{F}(V5), P_graph-{F}(V6), P_empty-{F}(V7), P_tail_of-{F}(V8,V0), pppp26-{F}(V8,V9), P_head_of-{F}(V9,V1), P_tail_of-{F}(V10,V0), P_head_of-{F}(V11,V1), precedes-{F}(V10,V11,V12), pppp24-{F}(V12,V13) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1585: mergings( V23 == V25, V29 == V31, V31 == V38, V24 == V26, V26 == V30, V39 == V40, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V20, V20 == V21, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V27 == V32, V28 == V33, V32 == V34, V33 == V35; #1559 ), references = 1, size of lhs = 18:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_head_of-{F}(V12,V11), precedes-{F}(V6,V12,V13), pppp24-{F}(V13,V14), P_length_of-{F}(V13,V15), P_tail_of-{F}(V12,V16) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1607: mergings( V23 == V25, V29 == V31, V31 == V38, V24 == V26, V26 == V30, V39 == V40, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V20, V20 == V21, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V27 == V32, V28 == V33; #1560 ), references = 1, size of lhs = 21:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), pppp24-{F}(V14,V15), precedes-{F}(V6,V16,V14), P_head_of-{F}(V16,V11), P_length_of-{F}(V14,V17), P_tail_of-{F}(V16,V18) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1629: mergings( V23 == V25, V29 == V31, V31 == V40, V24 == V26, V26 == V30, V41 == V42, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V20, V20 == V21, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V27 == V32, V28 == V33; #1561 ), references = 1, size of lhs = 22:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), pppp24-{F}(V14,V15), P_head_of-{F}(V16,V11), precedes-{F}(V6,V16,V17), pppp24-{F}(V17,V18), P_length_of-{F}(V17,V19), P_tail_of-{F}(V16,V20) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1656: mergings( V24 == V26, V30 == V32, V32 == V39, V25 == V27, V27 == V31, V40 == V41, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V21, V21 == V22, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V14 == V20, V28 == V33, V29 == V34, V33 == V35, V34 == V36; #1630 ), references = 1, size of lhs = 18:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_head_of-{F}(V12,V11), precedes-{F}(V6,V12,V13), P_length_of-{F}(V13,V14), P_tail_of-{F}(V12,V15), pppp25-{F}(V13,V16,V17) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1678: mergings( V24 == V26, V30 == V32, V32 == V39, V25 == V27, V27 == V31, V40 == V41, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V21, V21 == V22, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V14 == V20, V28 == V33, V29 == V34; #1631 ), references = 1, size of lhs = 21:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), P_length_of-{F}(V14,V16), P_tail_of-{F}(V15,V17), pppp25-{F}(V14,V18,V19) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1700: mergings( V24 == V26, V30 == V32, V32 == V39, V25 == V27, V27 == V31, V40 == V41, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V21, V21 == V22, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V14 == V20, V28 == V33, V29 == V34; #1632 ), references = 1, size of lhs = 21:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), P_length_of-{F}(V14,V16), P_tail_of-{F}(V15,V17), pppp25-{F}(V14,V18,V19) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1727: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V37 == V38, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32, V31 == V33, V32 == V34; #1701 ), references = 1, size of lhs = 17:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_head_of-{F}(V12,V11), precedes-{F}(V6,V12,V13), P_tail_of-{F}(V12,V14), pppp25-{F}(V13,V15,V16) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1749: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V37 == V38, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32; #1702 ), references = 1, size of lhs = 20:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), P_tail_of-{F}(V15,V16), pppp25-{F}(V14,V17,V18) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1771: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V37 == V38, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32; #1703 ), references = 1, size of lhs = 20:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), P_tail_of-{F}(V15,V16), pppp25-{F}(V14,V17,V18) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1797: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32, V31 == V33, V32 == V34; #1772 ), references = 1, size of lhs = 16:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_head_of-{F}(V12,V11), precedes-{F}(V6,V12,V13), pppp25-{F}(V13,V14,V15) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1818: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32; #1773 ), references = 1, size of lhs = 19:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), pppp25-{F}(V14,V16,V17) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1839: mergings( V22 == V24, V28 == V30, V30 == V36, V23 == V25, V25 == V29, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V31, V27 == V32; #1774 ), references = 1, size of lhs = 19:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_head_of-{F}(V10,V11), V11 == V8, P_tail_of-{F}(V12,V8), P_head_of-{F}(V13,V11), precedes-{F}(V12,V13,V14), precedes-{F}(V6,V15,V14), P_head_of-{F}(V15,V11), pppp25-{F}(V14,V16,V17) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1861: mergings( V22 == V24, V23 == V25, V25 == V27, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V28, V28 == V29; #1840 ), references = 2, size of lhs = 13:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), precedes-{F}(V6,V10,V11), pppp25-{F}(V11,V12,V13) | P_head_of-{T}(V10,V8)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1879: mergings( V22 == V24, V23 == V25, V25 == V27, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V28; #1841 ), references = 1, size of lhs = 15:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_tail_of-{F}(V11,V8), precedes-{F}(V11,V10,V12), precedes-{F}(V6,V10,V12), pppp25-{F}(V12,V13,V14) | P_head_of-{T}(V10,V8)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1897: mergings( V22 == V24, V23 == V25, V25 == V27, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V13, V13 == V19, V19 == V20, V8 == V14, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V26 == V28; #1842 ), references = 1, size of lhs = 15:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), P_tail_of-{F}(V6,V8), P_tail_of-{F}(V9,V8), pppp26-{F}(V9,V10), P_tail_of-{F}(V11,V8), precedes-{F}(V11,V10,V12), precedes-{F}(V6,V10,V12), pppp25-{F}(V12,V13,V14) | P_head_of-{T}(V10,V8)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1925: mergings( V23 == V25, V24 == V26, V26 == V32, V32 == V28, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V20, V20 == V21, V21 == V22, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V0 == V27, V27 == V29, V29 == V30; #1903 ), references = 1, size of lhs = 12:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), pppp26-{F}(V6,V8), P_tail_of-{F}(V6,V9), P_head_of-{F}(V10,V9), P_tail_of-{F}(V10,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1948: mergings( V23 == V25, V24 == V26, V26 == V28, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V14, V14 == V20, V20 == V21, V21 == V22, V9 == V15, V10 == V16, V11 == V17, V12 == V18, V13 == V19, V0 == V27, V27 == V29, V29 == V30, V30 == V31, V28 == V32; #1902 ), references = 1, size of lhs = 12:
% 36.64/36.83 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), P_head_of-{F}(V6,V7), pppp26-{F}(V6,V8), P_tail_of-{F}(V6,V9), P_tail_of-{F}(V10,V9), P_head_of-{F}(V10,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1973: mergings( V12 == V14, V18 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1963 ), references = 1, size of lhs = 10:
% 36.64/36.83 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V1,V3), precedes-{F}(V1,V4,V5), V4 == V1, pppp24-{F}(V5,V6), P_length_of-{F}(V5,V7), P_head_of-{F}(V4,V8), pppp16-{F}(V4,V1,V9,V9), P_tail_of-{F}(V4,V10) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1984: mergings( V13 == V15, V19 == V21, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #1974 ), references = 1, size of lhs = 10:
% 36.64/36.83 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V1,V3), precedes-{F}(V1,V4,V5), V4 == V1, P_length_of-{F}(V5,V6), P_head_of-{F}(V4,V7), pppp16-{F}(V4,V1,V8,V8), P_tail_of-{F}(V4,V9), pppp25-{F}(V5,V10,V11) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #1995: mergings( V11 == V13, V16 == V18, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1985 ), references = 1, size of lhs = 9:
% 36.64/36.83 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V1,V3), precedes-{F}(V1,V4,V5), V4 == V1, P_head_of-{F}(V4,V6), pppp16-{F}(V4,V1,V7,V7), P_tail_of-{F}(V4,V8), pppp25-{F}(V5,V9,V10) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2005: mergings( V11 == V13, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #1996 ), references = 1, size of lhs = 8:
% 36.64/36.83 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V1,V3), precedes-{F}(V1,V4,V5), V4 == V1, P_head_of-{F}(V4,V6), pppp16-{F}(V4,V1,V7,V7), pppp25-{F}(V5,V8,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2023: mergings( V18 == V21, V21 == V23, V19 == V22, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V0 == V20; #2009 ), references = 1, size of lhs = 11:
% 36.64/36.83 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), pppp26-{F}(V6,V7), V7 == V6, P_tail_of-{F}(V6,V8), P_head_of-{F}(V6,V9) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2036: mergings( V18 == V19, V19 == V20, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #2024 ), references = 1, size of lhs = 10:
% 36.64/36.83 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), pppp26-{F}(V6,V7), V7 == V6, P_head_of-{F}(V6,V8) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2047: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #2037 ), references = 1, size of lhs = 9:
% 36.64/36.83 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), pppp26-{F}(V6,V7), V7 == V6 | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2058: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #2048 ), references = 1, size of lhs = 8:
% 36.64/36.83 complete-{F}(), pppp27-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_graph-{F}(V5), P_empty-{F}(V6) | pppp26-{T}(V0,V0)
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2060: exists( #107, #242 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_empty-{F}(V0), pppp26-{F}(V1,V1) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2079: mergings( V0 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #2062 ), references = 1, size of lhs = 7:
% 36.64/36.83 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
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2102: mergings( V1 == V6, V6 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13, V5 == V10, V10 == V14; #2081 ), references = 1, size of lhs = 5:
% 36.64/36.83 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2122: mergings( V1 == V5, V5 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V8, V8 == V11; #2103 ), references = 1, size of lhs = 4:
% 36.64/36.83 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_empty-{F}(V3) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2140: mergings( V1 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V2 == V5, V5 == V7, V3 == V6, V6 == V8; #2123 ), references = 1, size of lhs = 3:
% 36.64/36.83 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_empty-{F}(V2) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2156: mergings( V1 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V4, V4 == V5; #2141 ), references = 1, size of lhs = 2:
% 36.64/36.83 P_edges-{F}(V0), P_empty-{F}(V1) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2170: 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; #2157 ), references = 1, size of lhs = 1:
% 36.64/36.83 P_empty-{F}(V0) | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 #2172: exists( #110, #2157 ), references = 1, size of lhs = 0:
% 36.64/36.83 FALSE | FALSE
% 36.64/36.83 (used 0 times, uses = {})
% 36.64/36.83
% 36.64/36.83 number of learnt formulas = 123
% 36.64/36.83
% 36.64/36.83
% 36.64/36.83 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.64/36.83
% 36.64/36.83 randbase = 1
%------------------------------------------------------------------------------