%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRA011+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:02:48 EDT 2022
% Result : Theorem 37.14s 37.35s
% Output : Refutation 37.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRA011+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 07:46:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 37.14/37.35 GeoParameters:
% 37.14/37.35
% 37.14/37.35 tptp_input = 1
% 37.14/37.35 tptp_output = 0
% 37.14/37.35 nonempty = 1
% 37.14/37.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.14/37.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 37.14/37.35
% 37.14/37.35
% 37.14/37.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.14/37.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.14/37.35
% 37.14/37.35 RuleSystem INPUT:
% 37.14/37.35
% 37.14/37.35 Initial Rules:
% 37.14/37.35 #0: input, references = 5, size of lhs = 3:
% 37.14/37.35 P_head_of-{F}(V0,V2), P_tail_of-{F}(V0,V2), edge-{F}(V0) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #1: input, references = 4, size of lhs = 3:
% 37.14/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #2: input, references = 4, size of lhs = 3:
% 37.14/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), edge-{F}(V0) | vertex-{T}(V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #3: input, references = 4, size of lhs = 4:
% 37.14/37.35 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0 | EXISTS V2: pppp9-{T}(V1,V0,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #4: input, references = 8, size of lhs = 1:
% 37.14/37.35 pppp9-{F}(V0,V1,V2) | pppp8-{T}(V2,V0,V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #5: input, references = 4, size of lhs = 3:
% 37.14/37.35 pppp8-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V2) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #6: input, references = 8, size of lhs = 1:
% 37.14/37.35 pppp8-{F}(V0,V1,V2) | pppp0-{T}(V0,V1,V2), pppp1-{T}(V0,V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #7: input, references = 4, size of lhs = 1:
% 37.14/37.35 pppp8-{F}(V0,V1,V2) | edge-{T}(V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #8: input, references = 7, size of lhs = 4:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #9: input, references = 7, size of lhs = 4:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp1-{F}(V0,V1,V2), V1 == V4 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #10: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp1-{T}(V0,V4,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #11: input, references = 4, size of lhs = 4:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V1 == V3 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #12: input, references = 4, size of lhs = 4:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), pppp0-{F}(V0,V1,V2), V2 == V4 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #13: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | pppp0-{T}(V0,V3,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #14: input, references = 3, size of lhs = 7:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #15: input, references = 5, size of lhs = 9:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #16: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #17: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), path-{F}(V1,V2,V3) | vertex-{T}(V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #18: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), path-{F}(V1,V2,V3) | EXISTS V4: pppp11-{T}(V1,V2,V3,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #19: input, references = 4, size of lhs = 2:
% 37.14/37.35 pppp11-{F}(V0,V1,V2,V3), P_tail_of-{F}(V3,V4) | pppp10-{T}(V3,V0,V1,V2,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #20: input, references = 4, size of lhs = 3:
% 37.14/37.35 pppp10-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V0,V2,V3), pppp2-{F}(V0,V2,V3) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #21: input, references = 5, size of lhs = 1:
% 37.14/37.35 pppp10-{F}(V0,V1,V2,V3,V4) | pppp2-{T}(V0,V2,V3), pppp3-{T}(V0,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #22: input, references = 4, size of lhs = 2:
% 37.14/37.35 pppp10-{F}(V0,V1,V2,V3,V4), V1 == V4 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #23: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp10-{F}(V0,V1,V2,V3,V4) | edge-{T}(V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #24: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V4), pppp3-{F}(V1,V2,V3) | EXISTS V5: pppp12-{T}(V1,V2,V3,V5,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #25: input, references = 4, size of lhs = 4:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #26: input, references = 4, size of lhs = 3:
% 37.14/37.35 pppp12-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5), V2 == V5 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #27: input, references = 3, size of lhs = 2:
% 37.14/37.35 pppp12-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5) | path-{T}(V4,V1,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #28: input, references = 4, size of lhs = 5:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #29: input, references = 4, size of lhs = 5:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #30: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_path_cons-{F}(V1,V0,V5) | pppp2-{T}(V1,V4,V5)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #31: input, references = 5, size of lhs = 5:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #32: input, references = 3, size of lhs = 5:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #33: input, references = 3, size of lhs = 5:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #34: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | vertex-{T}(V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #35: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), path-{F}(V3,V2,V1), in_path-{F}(V4,V1) | EXISTS V5: pppp13-{T}(V5,V1,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #36: input, references = 5, size of lhs = 5:
% 37.14/37.35 pppp13-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4), V2 == V3, V2 == V4 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #37: input, references = 4, size of lhs = 3:
% 37.14/37.35 pppp13-{F}(V0,V1,V2), P_head_of-{F}(V0,V3), P_tail_of-{F}(V0,V4) | on_path-{T}(V0,V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #38: input, references = 7, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), sequential-{F}(V1,V2) | pppp4-{T}(V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #39: input, references = 8, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), pppp4-{F}(V1,V2) | sequential-{T}(V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #40: input, references = 12, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V3), P_tail_of-{F}(V2,V4) | pppp14-{T}(V1,V2,V3,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #41: input, references = 8, size of lhs = 4:
% 37.14/37.35 pppp14-{F}(V0,V1,V3,V3), edge-{F}(V0), edge-{F}(V1), V0 == V1 | pppp4-{T}(V0,V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #42: input, references = 5, size of lhs = 3:
% 37.14/37.35 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1), V2 == V3 | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #43: input, references = 4, size of lhs = 2:
% 37.14/37.35 pppp14-{F}(V1,V1,V2,V3), pppp4-{F}(V1,V1) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #44: input, references = 3, size of lhs = 2:
% 37.14/37.35 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #45: input, references = 4, size of lhs = 2:
% 37.14/37.35 pppp14-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1) | edge-{T}(V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #46: input, references = 9, size of lhs = 5:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #47: input, references = 3, size of lhs = 6:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #48: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), precedes-{F}(V2,V3,V1), path-{F}(V5,V4,V1) | pppp15-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #49: input, references = 3, size of lhs = 3:
% 37.14/37.35 pppp15-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V2), sequential-{F}(V1,V2) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #50: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp15-{F}(V0,V1,V2) | sequential-{T}(V1,V2), pppp5-{T}(V0,V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #51: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp15-{F}(V0,V1,V2) | on_path-{T}(V2,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #52: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp15-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #53: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), pppp5-{F}(V1,V2,V3) | EXISTS V4: pppp16-{T}(V1,V2,V3,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #54: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), sequential-{F}(V2,V4), precedes-{F}(V4,V3,V1) | pppp5-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #55: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp16-{F}(V0,V1,V2,V3) | precedes-{T}(V3,V2,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #56: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp16-{F}(V0,V1,V2,V3) | sequential-{T}(V1,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #57: input, references = 6, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), shortest_path-{F}(V1,V2,V3) | pppp6-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #58: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), pppp6-{F}(V1,V2,V3) | shortest_path-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #59: input, references = 6, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V1,V2,V3) | path-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #60: input, references = 3, size of lhs = 3:
% 37.14/37.35 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp6-{F}(V2,V2,V3) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #61: input, references = 4, size of lhs = 5:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #62: input, references = 4, size of lhs = 4:
% 37.14/37.35 P_empty-{F}(V0), P_length_of-{F}(V3,V4), path-{F}(V1,V2,V3), V1 == V2 | pppp6-{T}(V1,V2,V3), pppp24-{T}(V1,V2,V4)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #63: input, references = 4, size of lhs = 1:
% 37.14/37.35 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp17-{T}(V0,V1,V3,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #64: input, references = 4, size of lhs = 3:
% 37.14/37.35 pppp17-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4), less_or_equal-{F}(V3,V4) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #65: input, references = 5, size of lhs = 2:
% 37.14/37.35 pppp17-{F}(V0,V1,V2,V3), P_length_of-{F}(V2,V4) | path-{T}(V0,V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #66: input, references = 9, size of lhs = 7:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #67: input, references = 5, size of lhs = 6:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #68: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), triangle-{F}(V1,V2,V3) | pppp7-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #69: input, references = 4, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | triangle-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #70: input, references = 3, size of lhs = 2:
% 37.14/37.35 P_empty-{F}(V0), pppp7-{F}(V1,V2,V3) | pppp18-{T}(V1,V2,V3)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #71: input, references = 4, size of lhs = 7:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #72: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | sequential-{T}(V2,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #73: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #74: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | sequential-{T}(V0,V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #75: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | edge-{T}(V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #76: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | edge-{T}(V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #77: input, references = 3, size of lhs = 1:
% 37.14/37.35 pppp18-{F}(V0,V1,V2) | edge-{T}(V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #78: input, references = 5, size of lhs = 6:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #79: input, references = 7, size of lhs = 9:
% 37.14/37.35 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
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #80: input, references = 4, size of lhs = 9:
% 37.14/37.35 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)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #81: input, references = 4, size of lhs = 1:
% 37.14/37.35 pppp20-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V2,V1)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #82: input, references = 4, size of lhs = 1:
% 37.14/37.35 pppp20-{F}(V0,V1) | on_path-{T}(V1,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #83: input, references = 4, size of lhs = 2:
% 37.14/37.35 pppp19-{F}(V0,V1,V2), triangle-{F}(V1,V2,V3) | FALSE
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #84: input, references = 8, size of lhs = 1:
% 37.14/37.35 pppp19-{F}(V0,V1,V2) | sequential-{T}(V1,V2)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #85: input, references = 4, size of lhs = 1:
% 37.14/37.35 pppp19-{F}(V0,V1,V2) | on_path-{T}(V1,V0)
% 37.14/37.35 (used 0 times, uses = {})
% 37.14/37.35
% 37.14/37.35 #86: input, references = 3, size of lhs = 8:
% 37.14/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #87: input, references = 6, size of lhs = 6:
% 37.20/37.35 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}()
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #88: input, references = 6, size of lhs = 6:
% 37.20/37.35 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: pppp23-{T}(V6,V2,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #89: input, references = 6, size of lhs = 3:
% 37.20/37.35 pppp23-{F}(V0,V1,V2), P_number_of_in-{F}(V1,V0,V3), P_number_of_in-{F}(V2,V0,V4) | EXISTS V5: pppp22-{T}(V0,V5)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #90: input, references = 6, size of lhs = 3:
% 37.20/37.35 pppp23-{F}(V0,V1,V2), P_number_of_in-{F}(V1,V0,V4), P_number_of_in-{F}(V2,V0,V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #91: input, references = 6, size of lhs = 1:
% 37.20/37.35 pppp22-{F}(V0,V1) | EXISTS V2: pppp21-{T}(V1,V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #92: input, references = 6, size of lhs = 1:
% 37.20/37.35 pppp21-{F}(V0,V1,V2) | shortest_path-{T}(V2,V0,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #93: input, references = 17, size of lhs = 1:
% 37.20/37.35 #-{F} V0 | EXISTS V1: P_head_of-{T}(V0,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #94: input, references = 12, size of lhs = 1:
% 37.20/37.35 #-{F} V0 | EXISTS V1: P_tail_of-{T}(V0,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #95: input, references = 7, size of lhs = 2:
% 37.20/37.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_path_cons-{T}(V0,V1,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #96: input, references = 4, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_empty-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #97: input, references = 9, size of lhs = 1:
% 37.20/37.35 #-{F} V0 | EXISTS V1: P_length_of-{T}(V0,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #98: input, references = 13, size of lhs = 2:
% 37.20/37.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_in-{T}(V0,V1,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #99: input, references = 4, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_edges-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #100: input, references = 4, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_sequential_pairs-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #101: input, references = 5, size of lhs = 2:
% 37.20/37.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_minus-{T}(V0,V1,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #102: input, references = 5, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_n1-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #103: input, references = 5, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_triangles-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #104: input, references = 6, size of lhs = 0:
% 37.20/37.35 FALSE | EXISTS V0: P_graph-{T}(V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 number of initial rules = 105
% 37.20/37.35
% 37.20/37.35 Simplifiers:
% 37.20/37.35 #105: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_head_of-{F}(V0,V1), P_head_of-{F}(V0,V3), V1 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #106: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_tail_of-{F}(V0,V1), P_tail_of-{F}(V0,V3), V1 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #107: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_path_cons-{F}(V0,V1,V2), P_path_cons-{F}(V0,V1,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #108: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_empty-{F}(V0), P_empty-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #109: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_length_of-{F}(V0,V1), P_length_of-{F}(V0,V3), V1 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #110: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_number_of_in-{F}(V0,V1,V2), P_number_of_in-{F}(V0,V1,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #111: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_edges-{F}(V0), P_edges-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #112: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_sequential_pairs-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #113: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_minus-{F}(V0,V1,V2), P_minus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #114: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #115: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_triangles-{F}(V0), P_triangles-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #116: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 P_graph-{F}(V0), P_graph-{F}(V1), V0 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #117: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #118: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #119: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #120: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp10-{F}(V0,V1,V2,V3,V4), pppp10-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #121: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #122: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #123: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #124: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #125: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #126: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #127: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #128: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #129: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V2), V1 == V4 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #130: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp19-{F}(V0,V1,V2), pppp19-{F}(V0,V4,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #131: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #132: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp21-{F}(V0,V1,V2), pppp21-{F}(V0,V1,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #133: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp21-{F}(V0,V1,V2), pppp21-{F}(V3,V1,V5), V0 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #134: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #135: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V1,V2), V0 == V3 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #136: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V1 == V4 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #137: unsound, references = 3, size of lhs = 3:
% 37.20/37.35 pppp23-{F}(V0,V1,V2), pppp23-{F}(V3,V4,V5), V2 == V5 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 number of simplifiers = 33
% 37.20/37.35
% 37.20/37.35 Learnt:
% 37.20/37.35 #145: mergings( V3 == V4, V4 == V5, V9 == V11; #141 ), references = 1, size of lhs = 9:
% 37.20/37.35 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
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #150: mergings( V6 == V7, V7 == V8, V12 == V14; #146 ), references = 1, size of lhs = 11:
% 37.20/37.35 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), P_number_of_in-{F}(V8,V4,V10), P_number_of_in-{F}(V9,V4,V11) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #155: mergings( V3 == V4, V4 == V5, V8 == V9; #151 ), references = 4, size of lhs = 8:
% 37.20/37.35 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,V2,V7), P_number_of_in-{F}(V7,V4,V8) | P_number_of_in-{T}(V2,V4,V6)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #166: mergings( V3 == V4, V4 == V5, V7 == V8; #162 ), references = 1, size of lhs = 6:
% 37.20/37.35 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
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #171: mergings( V6 == V7, V7 == V8, V10 == V11; #167 ), references = 4, size of lhs = 8:
% 37.20/37.35 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), P_number_of_in-{F}(V5,V2,V7), P_number_of_in-{F}(V6,V2,V8) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #180: mergings( V3 == V7, V7 == V8, V8 == V9, V10 == V12, V12 == V13, V4 == V5; #173 ), references = 2, size of lhs = 8:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_empty-{F}(V2), P_length_of-{F}(V3,V4), P_minus-{F}(V4,V1,V5), V4 == V5, pppp23-{F}(V3,V0,V6) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #182: exists( #98, #171 ), references = 3, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), pppp23-{F}(V2,V1,V4), P_number_of_in-{F}(V4,V2,V5) | P_number_of_in-{T}(V1,V2,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #186: exists( #101, #180 ), references = 1, size of lhs = 6:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_empty-{F}(V2), P_length_of-{F}(V3,V4), pppp23-{F}(V3,V0,V5) | P_minus-{T}(V4,V1,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #204: exists( #94, #202 ), references = 1, size of lhs = 1:
% 37.20/37.35 pppp11-{F}(V0,V1,V2,V3) | P_tail_of-{T}(V3,V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #221: exists( #95, #26 ), references = 1, size of lhs = 1:
% 37.20/37.35 pppp12-{F}(V0,V1,V2,V3,V4) | P_path_cons-{T}(V0,V3,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #223: exists( #95, #29 ), references = 2, size of lhs = 3:
% 37.20/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp2-{F}(V1,V3,V4) | P_path_cons-{T}(V1,V0,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #226: exists( #98, #78 ), references = 1, size of lhs = 4:
% 37.20/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #227: exists( #98, #79 ), references = 1, size of lhs = 7:
% 37.20/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #231: exists( #94, #11 ), references = 7, size of lhs = 3:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp0-{F}(V0,V2,V3), V2 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #233: exists( #93, #230 ), references = 1, size of lhs = 1:
% 37.20/37.35 pppp0-{F}(V0,V1,V2) | P_head_of-{T}(V0,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #236: mergings( V3 == V2; #234 ), references = 5, size of lhs = 2:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | P_tail_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #241: mergings( V1 == V8; #239 ), references = 2, size of lhs = 15:
% 37.20/37.35 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
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #246: mergings( V1 == V8; #244 ), references = 2, size of lhs = 12:
% 37.20/37.35 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
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #315: exists( #93, #313 ), references = 4, size of lhs = 3:
% 37.20/37.35 P_empty-{F}(V0), pppp2-{F}(V1,V2,V3), pppp2-{F}(V1,V4,V5) | P_head_of-{T}(V1,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #326: mergings( V4 == V8, V2 == V3; #323 ), references = 4, size of lhs = 10:
% 37.20/37.35 P_empty-{F}(V0), sequential-{F}(V1,V2), on_path-{F}(V2,V3), pppp13-{F}(V1,V3,V4), P_tail_of-{F}(V1,V5), P_head_of-{F}(V2,V6), P_tail_of-{F}(V7,V5), P_head_of-{F}(V7,V6), path-{F}(V8,V9,V3), shortest_path-{F}(V10,V11,V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #350: disj( #21, input ), references = 1, size of lhs = 5:
% 37.20/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #352: mergings( V2 == V6; #349 ), references = 1, size of lhs = 5:
% 37.20/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #361: exists( #94, #326 ), references = 1, size of lhs = 8:
% 37.20/37.35 P_empty-{F}(V0), sequential-{F}(V1,V2), on_path-{F}(V2,V3), pppp13-{F}(V1,V3,V4), P_head_of-{F}(V2,V5), P_head_of-{F}(V1,V5), path-{F}(V6,V7,V3), shortest_path-{F}(V8,V9,V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #362: exists( #94, #66 ), references = 2, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_head_of-{F}(V3,V2), precedes-{F}(V3,V1,V4), shortest_path-{F}(V5,V6,V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #363: exists( #94, #36 ), references = 7, size of lhs = 3:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp13-{F}(V0,V2,V3), V3 == V1 | P_tail_of-{T}(V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #368: exists( #93, #364 ), references = 1, size of lhs = 10:
% 37.20/37.35 P_empty-{F}(V0), sequential-{F}(V1,V2), on_path-{F}(V2,V3), pppp13-{F}(V1,V3,V4), P_head_of-{F}(V2,V5), P_head_of-{F}(V6,V5), P_tail_of-{F}(V6,V7), pppp13-{F}(V1,V8,V7), path-{F}(V9,V10,V3), shortest_path-{F}(V11,V12,V3) | P_head_of-{T}(V1,V7)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #369: exists( #93, #365 ), references = 1, size of lhs = 7:
% 37.20/37.35 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), P_head_of-{F}(V1,V3), P_head_of-{F}(V4,V3), pppp13-{F}(V5,V6,V2), precedes-{F}(V5,V4,V7), shortest_path-{F}(V8,V9,V7) | P_head_of-{T}(V5,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #414: exists( #93, #36 ), references = 1, size of lhs = 3:
% 37.20/37.35 P_tail_of-{F}(V0,V1), pppp13-{F}(V0,V2,V3), V3 == V1 | P_head_of-{T}(V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #441: exists( #97, #438 ), references = 2, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), P_length_of-{F}(V1,V2), pppp6-{F}(V3,V4,V1), path-{F}(V3,V4,V5), pppp17-{F}(V6,V7,V5,V2) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #479: exists( #97, #475 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), P_length_of-{F}(V1,V2), pppp6-{F}(V3,V4,V1), pppp17-{F}(V3,V4,V5,V6), pppp17-{F}(V7,V8,V5,V2) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #481: exists( #63, #478 ), references = 1, size of lhs = 4:
% 37.20/37.35 P_empty-{F}(V0), P_length_of-{F}(V1,V2), pppp24-{F}(V3,V4,V2), pppp6-{F}(V3,V4,V1) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #484: mergings( V0 == V5; #482 ), references = 1, size of lhs = 6:
% 37.20/37.35 P_empty-{F}(V0), P_length_of-{F}(V1,V2), P_length_of-{F}(V3,V2), path-{F}(V4,V5,V1), V4 == V5, pppp6-{F}(V4,V5,V3) | pppp6-{T}(V4,V5,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #572: exists( #93, #570 ), references = 4, size of lhs = 3:
% 37.20/37.35 P_empty-{F}(V0), pppp4-{F}(V1,V2), P_tail_of-{F}(V2,V3) | P_head_of-{T}(V1,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #704: exists( #101, #79 ), references = 1, size of lhs = 7:
% 37.20/37.35 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)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #705: exists( #101, #241 ), references = 1, size of lhs = 13:
% 37.20/37.35 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-{T}(V11,V9,V10)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #768: disj( #6, input ), references = 4, size of lhs = 4:
% 37.20/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp8-{F}(V0,V3,V4), V4 == V2 | pppp1-{T}(V0,V3,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #774: mergings( V2 == V3; #772 ), references = 1, size of lhs = 2:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V2,V3) | P_tail_of-{T}(V0,V3), P_tail_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #777: mergings( V3 == V5, V4 == V6; #771 ), references = 5, size of lhs = 5:
% 37.20/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp8-{F}(V0,V3,V4), V4 == V2, V4 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #780: mergings( V1 == V2; #778 ), references = 1, size of lhs = 8:
% 37.20/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp8-{F}(V1,V3,V4), P_tail_of-{F}(V5,V4), P_head_of-{F}(V5,V6), P_head_of-{F}(V7,V6), precedes-{F}(V1,V7,V8), shortest_path-{F}(V9,V10,V8) | P_tail_of-{T}(V1,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #826: exists( #97, #824 ), references = 1, size of lhs = 12:
% 37.20/37.35 vertex-{F}(V0), vertex-{F}(V1), edge-{F}(V2), P_tail_of-{F}(V2,V1), P_head_of-{F}(V2,V3), P_empty-{F}(V4), P_head_of-{F}(V5,V1), pppp2-{F}(V5,V0,V6), P_path_cons-{F}(V5,V7,V6), P_path_cons-{F}(V2,V8,V7), pppp17-{F}(V3,V0,V8,V9), pppp10-{F}(V5,V10,V0,V6,V11) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #845: mergings( V2 == V4; #842 ), references = 2, size of lhs = 4:
% 37.20/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), V2 == V1, pppp8-{F}(V0,V3,V2) | pppp0-{T}(V0,V3,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #849: mergings( V2 == V3; #843 ), references = 3, size of lhs = 4:
% 37.20/37.35 P_head_of-{F}(V0,V1), P_tail_of-{F}(V0,V2), pppp8-{F}(V0,V3,V1), V3 == V2 | pppp0-{T}(V0,V3,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #900: exists( #93, #777 ), references = 1, size of lhs = 3:
% 37.20/37.35 P_tail_of-{F}(V0,V1), pppp8-{F}(V0,V2,V3), V3 == V1 | P_head_of-{T}(V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #901: exists( #93, #8 ), references = 1, size of lhs = 2:
% 37.20/37.35 P_tail_of-{F}(V0,V1), pppp1-{F}(V0,V2,V3) | P_head_of-{T}(V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #954: disj( #6, #943+#236+#768+#9 ), references = 1, size of lhs = 4:
% 37.20/37.35 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V4), V4 == V2, V3 == V2 | pppp1-{T}(V0,V1,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1031: exists( #93, #1025 ), references = 1, size of lhs = 3:
% 37.20/37.35 pppp13-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V4), V4 == V2 | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1032: exists( #93, #1026 ), references = 1, size of lhs = 2:
% 37.20/37.35 pppp13-{F}(V0,V1,V2), pppp1-{F}(V0,V3,V4) | P_head_of-{T}(V0,V2), P_head_of-{T}(V0,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1037: disj( #1028, #363+#66 ), references = 1, size of lhs = 10:
% 37.20/37.35 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp8-{F}(V3,V4,V2), pppp13-{F}(V3,V5,V6), V2 == V6, pppp13-{F}(V3,V7,V8), V8 == V2, P_tail_of-{F}(V9,V8), precedes-{F}(V9,V1,V10), shortest_path-{F}(V11,V12,V10) | P_head_of-{T}(V3,V6)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1038: disj( #1028, #363+#326 ), references = 1, size of lhs = 13:
% 37.20/37.35 P_empty-{F}(V0), sequential-{F}(V1,V2), P_head_of-{F}(V2,V3), on_path-{F}(V2,V4), pppp13-{F}(V1,V4,V5), P_tail_of-{F}(V1,V6), V6 == V3, pppp8-{F}(V7,V8,V3), pppp13-{F}(V7,V9,V6), pppp13-{F}(V7,V10,V11), V3 == V11, path-{F}(V12,V13,V4), shortest_path-{F}(V14,V15,V4) | P_head_of-{T}(V7,V11)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1070: exists( #94, #8 ), references = 3, size of lhs = 3:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp1-{F}(V0,V2,V3), V3 == V1 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1071: exists( #94, #777 ), references = 1, size of lhs = 3:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V2,V3), V3 == V1 | P_tail_of-{T}(V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1073: mergings( V4 == V2; #1069 ), references = 2, size of lhs = 2:
% 37.20/37.35 P_head_of-{F}(V0,V1), pppp1-{F}(V0,V2,V1) | P_tail_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1146: exists( #93, #1070 ), references = 2, size of lhs = 1:
% 37.20/37.35 pppp1-{F}(V0,V1,V2) | P_head_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1221: disj( #6, #1208+#236+#572+#231 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), pppp4-{F}(V1,V2), pppp8-{F}(V2,V3,V4), pppp0-{F}(V1,V5,V6), V5 == V4 | pppp1-{T}(V2,V3,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1222: disj( #6, #1208+#236+#572+#1070 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_empty-{F}(V0), pppp4-{F}(V1,V2), pppp8-{F}(V2,V3,V4), pppp1-{F}(V1,V5,V6), V6 == V4 | pppp1-{T}(V2,V3,V4)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1253: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10; #1247 ), references = 1, size of lhs = 11:
% 37.20/37.35 edge-{F}(V0), P_tail_of-{F}(V0,V1), edge-{F}(V2), sequential-{F}(V0,V2), P_head_of-{F}(V2,V3), edge-{F}(V4), V4 == V0, V2 == V4, pppp8-{F}(V4,V1,V3), P_empty-{F}(V5), pppp19-{F}(V6,V0,V2) | pppp1-{T}(V4,V1,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1272: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12; #1264 ), references = 1, size of lhs = 15:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), edge-{F}(V3), sequential-{F}(V2,V3), P_head_of-{F}(V3,V0), pppp19-{F}(V4,V2,V3), P_empty-{F}(V5), P_head_of-{F}(V6,V0), P_tail_of-{F}(V7,V1), precedes-{F}(V7,V6,V8), shortest_path-{F}(V9,V10,V8) | pppp9-{T}(V1,V0,V2), pppp9-{T}(V1,V0,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1290: mergings( V0 == V18, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11; #1280 ), references = 1, size of lhs = 17:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), edge-{F}(V3), sequential-{F}(V2,V3), P_head_of-{F}(V3,V0), pppp19-{F}(V4,V2,V3), P_empty-{F}(V5), P_head_of-{F}(V6,V0), P_tail_of-{F}(V7,V1), precedes-{F}(V7,V6,V8), P_tail_of-{F}(V3,V9), V1 == V9, shortest_path-{F}(V10,V11,V8) | pppp9-{T}(V1,V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1299: mergings( V0 == V17, V18 == V19, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11; #1281 ), references = 1, size of lhs = 18:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), edge-{F}(V3), sequential-{F}(V2,V3), P_head_of-{F}(V3,V0), pppp19-{F}(V4,V2,V3), P_empty-{F}(V5), P_head_of-{F}(V6,V0), P_tail_of-{F}(V7,V1), precedes-{F}(V7,V6,V8), P_tail_of-{F}(V3,V9), V0 == V9, V1 == V9, shortest_path-{F}(V10,V11,V8) | pppp9-{T}(V1,V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1309: mergings( V0 == V17, V17 == V19, V18 == V20, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11; #1282 ), references = 1, size of lhs = 18:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), edge-{F}(V3), sequential-{F}(V2,V3), P_head_of-{F}(V3,V0), pppp19-{F}(V4,V2,V3), P_empty-{F}(V5), P_head_of-{F}(V6,V0), P_tail_of-{F}(V7,V1), precedes-{F}(V7,V6,V8), P_tail_of-{F}(V3,V9), V0 == V9, V1 == V9, shortest_path-{F}(V10,V11,V8) | pppp9-{T}(V1,V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1322: mergings( V2 == V17, V3 == V16, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12; #1313 ), references = 1, size of lhs = 14:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), edge-{F}(V2), sequential-{F}(V1,V2), P_head_of-{F}(V2,V0), pppp19-{F}(V3,V1,V2), P_empty-{F}(V4), P_head_of-{F}(V5,V0), precedes-{F}(V1,V5,V6), P_tail_of-{F}(V2,V7), P_head_of-{F}(V1,V8), V0 == V8, shortest_path-{F}(V9,V10,V6) | P_tail_of-{T}(V1,V0), P_tail_of-{T}(V1,V7)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1351: mergings( V0 == V15, V15 == V25, V14 == V7, V7 == V16, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V11, V11 == V19, V19 == V21, V21 == V22, V22 == V23; #1331 ), references = 1, size of lhs = 22:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V0), P_head_of-{F}(V2,V0), P_tail_of-{F}(V1,V3), V0 == V3, edge-{F}(V4), P_head_of-{F}(V4,V0), P_empty-{F}(V5), on_path-{F}(V4,V6), edge-{F}(V7), V4 == V7, sequential-{F}(V7,V1), on_path-{F}(V7,V6), precedes-{F}(V7,V4,V6), P_head_of-{F}(V7,V3), pppp19-{F}(V8,V7,V1), precedes-{F}(V7,V2,V9), shortest_path-{F}(V10,V11,V9), path-{F}(V12,V13,V6), shortest_path-{F}(V14,V15,V6) | P_tail_of-{T}(V7,V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1366: mergings( V0 == V15, V15 == V25, V7 == V16, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V11, V11 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V30; #1332 ), references = 1, size of lhs = 27:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V0), P_head_of-{F}(V2,V0), P_tail_of-{F}(V1,V3), edge-{F}(V4), P_head_of-{F}(V4,V0), edge-{F}(V5), V4 == V5, sequential-{F}(V5,V1), pppp19-{F}(V6,V5,V1), precedes-{F}(V5,V2,V7), P_head_of-{F}(V5,V8), V0 == V8, on_path-{F}(V4,V9), on_path-{F}(V5,V9), precedes-{F}(V5,V4,V9), P_empty-{F}(V10), P_tail_of-{F}(V11,V3), P_head_of-{F}(V11,V12), P_head_of-{F}(V13,V12), precedes-{F}(V5,V13,V14), shortest_path-{F}(V15,V16,V7), path-{F}(V17,V18,V9), shortest_path-{F}(V19,V20,V9), shortest_path-{F}(V21,V22,V14) | P_tail_of-{T}(V5,V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1385: mergings( V0 == V15, V15 == V25, V7 == V16, V16 == V31, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V11, V11 == V19, V19 == V21, V21 == V22, V22 == V23, V23 == V30, V30 == V33, V33 == V34, V34 == V35; #1333 ), references = 1, size of lhs = 32:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V0), P_head_of-{F}(V2,V0), P_tail_of-{F}(V1,V3), edge-{F}(V4), P_head_of-{F}(V4,V0), on_path-{F}(V4,V5), edge-{F}(V6), V4 == V6, sequential-{F}(V6,V1), on_path-{F}(V6,V5), precedes-{F}(V6,V4,V5), pppp19-{F}(V7,V6,V1), precedes-{F}(V6,V2,V8), P_head_of-{F}(V6,V9), V0 == V9, edge-{F}(V10), V6 == V10, P_tail_of-{F}(V10,V9), P_empty-{F}(V11), on_path-{F}(V6,V12), on_path-{F}(V10,V12), P_head_of-{F}(V10,V13), P_tail_of-{F}(V14,V3), P_head_of-{F}(V14,V13), shortest_path-{F}(V15,V16,V8), path-{F}(V17,V18,V5), shortest_path-{F}(V19,V20,V5), path-{F}(V21,V22,V12), shortest_path-{F}(V23,V24,V12) | P_tail_of-{T}(V6,V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1447: mergings( V7 == V20, V20 == V22, V22 == V27, V21 == V23, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V24, V24 == V25, V25 == V26; #1422 ), references = 5, size of lhs = 15:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V0), P_tail_of-{F}(V1,V2), V0 == V2, P_empty-{F}(V3), on_path-{F}(V1,V4), pppp20-{F}(V4,V1), path-{F}(V5,V6,V4), shortest_path-{F}(V7,V8,V4), path-{F}(V9,V10,V4), shortest_path-{F}(V11,V12,V4), path-{F}(V13,V14,V4), shortest_path-{F}(V15,V16,V4) | pppp19-{T}(V4,V1,V1)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1480: mergings( V7 == V8, V5 == V6, V6 == V9, V9 == V11; #1473 ), references = 1, size of lhs = 15:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V2), V0 == V2, on_path-{F}(V1,V3), pppp20-{F}(V3,V1), P_empty-{F}(V4), path-{F}(V5,V6,V3), shortest_path-{F}(V7,V8,V3), path-{F}(V9,V10,V3), shortest_path-{F}(V11,V12,V3), path-{F}(V13,V14,V3), shortest_path-{F}(V15,V16,V3), pppp10-{F}(V1,V17,V0,V18,V19) | pppp3-{T}(V1,V0,V18)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1485: mergings( V7 == V8, V5 == V6, V6 == V9, V9 == V11; #1474 ), references = 1, size of lhs = 15:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V2), V0 == V2, on_path-{F}(V1,V3), pppp20-{F}(V3,V1), P_empty-{F}(V4), path-{F}(V5,V6,V3), shortest_path-{F}(V7,V8,V3), path-{F}(V9,V10,V3), shortest_path-{F}(V11,V12,V3), path-{F}(V13,V14,V3), shortest_path-{F}(V15,V16,V3), pppp10-{F}(V1,V17,V0,V18,V19) | pppp3-{T}(V1,V0,V18)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1489: mergings( V5 == V7, V7 == V9, V9 == V10; #1475 ), references = 1, size of lhs = 18:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_tail_of-{F}(V1,V2), V0 == V2, on_path-{F}(V1,V3), pppp20-{F}(V3,V1), P_empty-{F}(V4), on_path-{F}(V1,V5), path-{F}(V6,V7,V3), shortest_path-{F}(V8,V9,V3), path-{F}(V10,V11,V3), shortest_path-{F}(V12,V13,V3), path-{F}(V14,V15,V3), shortest_path-{F}(V16,V17,V3), path-{F}(V18,V19,V5), shortest_path-{F}(V20,V21,V5), pppp10-{F}(V1,V22,V0,V23,V24) | pppp3-{T}(V1,V0,V23)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1494: exists( #93, #1490 ), references = 1, size of lhs = 2:
% 37.20/37.35 P_tail_of-{F}(V0,V1), pppp8-{F}(V0,V2,V1) | P_head_of-{T}(V0,V1), P_head_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1496: disj( #1492, input ), references = 1, size of lhs = 3:
% 37.20/37.35 edge-{F}(V0), P_tail_of-{F}(V0,V1), pppp8-{F}(V0,V2,V1) | P_head_of-{T}(V0,V2)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1558: mergings( V3 == V7, V2 == V4, V4 == V5, V5 == V6; #1551 ), references = 2, size of lhs = 14:
% 37.20/37.35 complete-{F}(), vertex-{F}(V0), P_empty-{F}(V1), P_head_of-{F}(V2,V0), on_path-{F}(V2,V3), on_path-{F}(V2,V4), pppp20-{F}(V4,V2), path-{F}(V5,V6,V3), path-{F}(V7,V8,V4), shortest_path-{F}(V9,V10,V4), path-{F}(V11,V12,V4), shortest_path-{F}(V13,V14,V4), path-{F}(V15,V16,V4), shortest_path-{F}(V17,V18,V4) | P_tail_of-{T}(V2,V0)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1577: mergings( V4 == V6, V2 == V3; #1572 ), references = 1, size of lhs = 15:
% 37.20/37.35 complete-{F}(), P_empty-{F}(V0), on_path-{F}(V1,V2), P_head_of-{F}(V1,V3), on_path-{F}(V1,V4), on_path-{F}(V1,V5), pppp20-{F}(V5,V1), path-{F}(V6,V7,V2), path-{F}(V8,V9,V4), path-{F}(V10,V11,V5), shortest_path-{F}(V12,V13,V5), path-{F}(V14,V15,V5), shortest_path-{F}(V16,V17,V5), path-{F}(V18,V19,V5), shortest_path-{F}(V20,V21,V5) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1580: mergings( V2 == V3; #1578 ), references = 1, size of lhs = 14:
% 37.20/37.35 complete-{F}(), P_empty-{F}(V0), on_path-{F}(V1,V2), on_path-{F}(V1,V3), on_path-{F}(V1,V4), pppp20-{F}(V4,V1), path-{F}(V5,V6,V2), path-{F}(V7,V8,V3), path-{F}(V9,V10,V4), shortest_path-{F}(V11,V12,V4), path-{F}(V13,V14,V4), shortest_path-{F}(V15,V16,V4), path-{F}(V17,V18,V4), shortest_path-{F}(V19,V20,V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1585: mergings( V0 == V11, V11 == V12; #1582 ), references = 1, size of lhs = 18:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), P_number_of_in-{F}(V1,V5,V6), P_number_of_in-{F}(V3,V5,V7), V6 == V7, path-{F}(V8,V9,V5), path-{F}(V10,V11,V5), path-{F}(V12,V13,V5), path-{F}(V14,V15,V5), shortest_path-{F}(V16,V17,V5), path-{F}(V18,V19,V5), shortest_path-{F}(V20,V21,V5), path-{F}(V22,V23,V5), shortest_path-{F}(V24,V25,V5) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1594: mergings( V3 == V4, V4 == V5, V5 == V10, V10 == V11; #1589 ), references = 1, size of lhs = 11:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), pppp22-{F}(V5,V6), P_length_of-{F}(V5,V7), P_number_of_in-{F}(V1,V5,V8), P_number_of_in-{F}(V3,V5,V9), V8 == V9 | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1600: mergings( V6 == V7, V7 == V8, V8 == V13, V13 == V14; #1595 ), references = 3, size of lhs = 13:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V1,V5,V7), P_number_of_in-{F}(V3,V5,V8), V7 == V8, pppp23-{F}(V5,V9,V10), P_number_of_in-{F}(V9,V5,V11), P_number_of_in-{F}(V10,V5,V12) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1610: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V12 == V13, V4 == V8; #1602 ), references = 1, size of lhs = 8:
% 37.20/37.35 complete-{F}(), P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_triangles-{F}(V2), P_empty-{F}(V3), pppp23-{F}(V4,V0,V2), P_length_of-{F}(V4,V5) | P_number_of_in-{T}(V2,V4,V5)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1622: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V3 == V7, V7 == V13; #1613 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_triangles-{F}(V2), P_empty-{F}(V3), pppp23-{F}(V4,V0,V2) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1634: mergings( V0 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V15, V1 == V2, V2 == V11, V3 == V12; #1623 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_graph-{F}(V0), P_sequential_pairs-{F}(V1), P_edges-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1652: mergings( V1 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V17, V17 == V18, V18 == V19, V2 == V7, V7 == V10, V10 == V14, V3 == V14, V4 == V8, V8 == V15, V5 == V16; #1636 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_triangles-{F}(V2), P_empty-{F}(V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1668: mergings( V1 == V5, V5 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V15, V15 == V16, V16 == V17, V2 == V6, V6 == V9, V9 == V13, V3 == V13, V4 == V7, V7 == V14; #1653 ), references = 1, size of lhs = 4:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_n1-{F}(V1), P_empty-{F}(V2) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1682: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V2 == V5, V5 == V7, V7 == V11, V3 == V11; #1669 ), references = 1, size of lhs = 3:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_edges-{F}(V0), P_empty-{F}(V1) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1690: mergings( V3 == V7, V8 == V10, V4 == V0; #1685 ), references = 1, size of lhs = 7:
% 37.20/37.35 P_sequential_pairs-{F}(V0), P_n1-{F}(V1), P_empty-{F}(V2), P_edges-{F}(V3), pppp23-{F}(V4,V0,V3), P_length_of-{F}(V4,V5), P_minus-{F}(V5,V1,V6) | P_number_of_in-{T}(V3,V4,V5)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1695: mergings( V3 == V9, V10 == V12, V4 == V6, V5 == V8; #1686 ), references = 1, size of lhs = 9:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), pppp23-{F}(V5,V1,V3), P_length_of-{F}(V5,V6), P_minus-{F}(V6,V2,V7) | P_number_of_in-{T}(V3,V5,V7)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1705: exists( #98, #171 ), references = 1, size of lhs = 7:
% 37.20/37.35 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), P_number_of_in-{F}(V6,V2,V7) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1707: exists( #98, #1703 ), references = 1, size of lhs = 4:
% 37.20/37.35 P_empty-{F}(V0), P_edges-{F}(V1), P_length_of-{F}(V2,V3), pppp23-{F}(V2,V4,V1) | P_number_of_in-{T}(V1,V2,V3)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1709: exists( #98, #1600 ), references = 2, size of lhs = 10:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), P_length_of-{F}(V5,V6), P_number_of_in-{F}(V3,V5,V7), pppp23-{F}(V5,V1,V8), P_number_of_in-{F}(V8,V5,V9) | P_number_of_in-{T}(V1,V5,V7)
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1716: mergings( V2 == V7, V3 == V4, V5 == V8; #1712 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_triangles-{F}(V0), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_empty-{F}(V3), pppp23-{F}(V4,V1,V0) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1723: mergings( V0 == V7, V7 == V10, V1 == V4, V4 == V8, V3 == V9; #1717 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_graph-{F}(V0), P_triangles-{F}(V1), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_empty-{F}(V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1736: mergings( V1 == V6, V6 == V9, V9 == V14, V2 == V7, V7 == V10, V10 == V11, V3 == V12, V4 == V8, V8 == V13, V5 == V11; #1725 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_triangles-{F}(V0), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_empty-{F}(V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1741: exists( #98, #1739 ), references = 1, size of lhs = 8:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), pppp23-{F}(V5,V1,V3), P_length_of-{F}(V5,V6) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1743: exists( #97, #1740 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4), pppp23-{F}(V5,V1,V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1748: mergings( V0 == V9, V1 == V7, V3 == V8; #1744 ), references = 1, size of lhs = 7:
% 37.20/37.35 complete-{F}(), P_graph-{F}(V0), P_edges-{F}(V1), P_sequential_pairs-{F}(V2), P_n1-{F}(V3), P_triangles-{F}(V4), P_empty-{F}(V5) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1759: mergings( V1 == V6, V6 == V13, V2 == V7, V7 == V9, V3 == V10, V4 == V8, V8 == V11, V5 == V12; #1750 ), references = 1, size of lhs = 5:
% 37.20/37.35 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_triangles-{F}(V3), P_empty-{F}(V4) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1768: mergings( V1 == V5, V5 == V11, V2 == V6, V6 == V8, V3 == V9, V4 == V7, V7 == V10; #1760 ), references = 1, size of lhs = 4:
% 37.20/37.35 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_n1-{F}(V2), P_empty-{F}(V3) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1775: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V6, V3 == V7; #1769 ), references = 1, size of lhs = 3:
% 37.20/37.35 P_edges-{F}(V0), P_sequential_pairs-{F}(V1), P_empty-{F}(V2) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1781: mergings( V1 == V3, V3 == V6, V2 == V4, V4 == V5; #1776 ), references = 1, size of lhs = 2:
% 37.20/37.35 P_edges-{F}(V0), P_empty-{F}(V1) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1785: mergings( V1 == V2, V2 == V3; #1782 ), references = 1, size of lhs = 1:
% 37.20/37.35 P_empty-{F}(V0) | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 #1787: exists( #96, #1782 ), references = 1, size of lhs = 0:
% 37.20/37.35 FALSE | FALSE
% 37.20/37.35 (used 0 times, uses = {})
% 37.20/37.35
% 37.20/37.35 number of learnt formulas = 99
% 37.20/37.35
% 37.20/37.35
% 37.20/37.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.20/37.35
% 37.20/37.35 randbase = 1
%------------------------------------------------------------------------------