0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : geo -tptp_input -nonempty -inputfile %s 0.03/0.24 % Computer : n175.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 05:48:09 CDT 2018 0.03/0.24 % CPUTime : 4.89/5.12 GeoParameters: 4.89/5.12 4.89/5.12 tptp_input = 1 4.89/5.12 tptp_output = 0 4.89/5.12 nonempty = 1 4.89/5.12 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/5.12 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/ 4.89/5.12 4.89/5.12 4.89/5.12 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/5.12 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/5.12 4.89/5.12 RuleSystem INPUT: 4.89/5.12 4.89/5.12 Initial Rules: 4.89/5.12 #0: input, references = 3, size of lhs = 2: 4.89/5.12 path-{F}(V2,V1,V0), in_path-{F}(V3,V0) | EXISTS V4: pppp8-{T}(V4,V0,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #1: input, references = 4, size of lhs = 2: 4.89/5.12 path-{F}(V2,V1,V0), in_path-{F}(V3,V0) | vertex-{T}(V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #2: input, references = 4, size of lhs = 5: 4.89/5.12 pppp8-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4), V2 == V3, V2 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #3: input, references = 3, size of lhs = 3: 4.89/5.12 pppp8-{F}(V0,V1,V2), P_tail_of-{F}(V0,V3), P_head_of-{F}(V0,V4) | on_path-{T}(V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #4: input, references = 6, size of lhs = 4: 4.89/5.12 on_path-{F}(V1,V0), sequential-{F}(V2,V1), on_path-{F}(V2,V0), path-{F}(V4,V3,V0) | precedes-{T}(V2,V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #5: input, references = 4, size of lhs = 5: 4.89/5.12 on_path-{F}(V1,V0), sequential-{F}(V2,V3), precedes-{F}(V3,V1,V0), on_path-{F}(V2,V0), path-{F}(V5,V4,V0) | precedes-{T}(V2,V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #6: input, references = 3, size of lhs = 1: 4.89/5.12 path-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V2,V0,V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #7: input, references = 3, size of lhs = 1: 4.89/5.12 path-{F}(V0,V1,V2) | vertex-{T}(V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #8: input, references = 3, size of lhs = 1: 4.89/5.12 path-{F}(V0,V1,V2) | vertex-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #9: input, references = 4, size of lhs = 2: 4.89/5.12 pppp10-{F}(V0,V1,V2,V3), P_tail_of-{F}(V3,V4) | pppp9-{T}(V3,V0,V1,V2,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #10: input, references = 3, size of lhs = 1: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4) | edge-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #11: input, references = 4, size of lhs = 2: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4), V2 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #12: input, references = 3, size of lhs = 3: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V3) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #13: input, references = 3, size of lhs = 1: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4) | pppp0-{T}(V0,V1,V3), pppp1-{T}(V0,V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #14: input, references = 3, size of lhs = 2: 4.89/5.12 P_head_of-{F}(V0,V3), pppp1-{F}(V0,V1,V2) | EXISTS V4: pppp11-{T}(V0,V1,V2,V4,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #15: input, references = 3, size of lhs = 3: 4.89/5.12 P_head_of-{F}(V0,V3), P_path_cons-{F}(V0,V4,V1), path-{F}(V3,V2,V4) | pppp1-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #16: input, references = 4, size of lhs = 3: 4.89/5.12 pppp11-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5), V5 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #17: input, references = 3, size of lhs = 2: 4.89/5.12 pppp11-{F}(V0,V1,V2,V3,V4), P_path_cons-{F}(V0,V3,V5) | path-{T}(V4,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #18: input, references = 4, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_path_cons-{F}(V1,V0,V4), P_head_of-{F}(V1,V5), pppp0-{F}(V1,V2,V3), V4 == V2 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #19: input, references = 3, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_path_cons-{F}(V1,V0,V4), P_head_of-{F}(V1,V5), pppp0-{F}(V1,V2,V3), V3 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #20: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_path_cons-{F}(V1,V0,V2), P_head_of-{F}(V1,V5) | pppp0-{T}(V1,V2,V5) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #21: input, references = 4, size of lhs = 6: 4.89/5.12 P_empty-{F}(V0), shortest_path-{F}(V3,V2,V1), P_head_of-{F}(V4,V6), P_tail_of-{F}(V5,V7), precedes-{F}(V5,V4,V1), precedes-{F}(V4,V5,V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #22: input, references = 5, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), shortest_path-{F}(V3,V2,V1), P_head_of-{F}(V4,V6), P_tail_of-{F}(V5,V7), precedes-{F}(V5,V4,V1), P_head_of-{F}(V8,V6), P_tail_of-{F}(V8,V7) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #23: input, references = 4, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), complete-{F}(), vertex-{F}(V1), vertex-{F}(V2), V2 == V1 | EXISTS V3: pppp13-{T}(V2,V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #24: input, references = 7, size of lhs = 1: 4.89/5.12 pppp13-{F}(V0,V1,V2) | pppp12-{T}(V2,V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #25: input, references = 4, size of lhs = 1: 4.89/5.12 pppp12-{F}(V0,V1,V2) | edge-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #26: input, references = 4, size of lhs = 3: 4.89/5.12 pppp12-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V2) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #27: input, references = 6, size of lhs = 1: 4.89/5.12 pppp12-{F}(V0,V1,V2) | pppp2-{T}(V0,V1,V2), pppp3-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #28: input, references = 6, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_tail_of-{F}(V1,V5), pppp3-{F}(V1,V2,V3), V3 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #29: input, references = 5, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_tail_of-{F}(V1,V5), pppp3-{F}(V1,V2,V3), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #30: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_tail_of-{F}(V1,V5) | pppp3-{T}(V1,V5,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #31: input, references = 4, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_tail_of-{F}(V1,V5), pppp2-{F}(V1,V2,V3), V4 == V2 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #32: input, references = 4, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V4), P_tail_of-{F}(V1,V5), pppp2-{F}(V1,V2,V3), V5 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #33: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V3) | pppp2-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #34: input, references = 3, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), pppp4-{F}(V1,V2,V3) | shortest_path-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #35: input, references = 6, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), shortest_path-{F}(V1,V2,V3) | pppp4-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #36: input, references = 6, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp4-{F}(V1,V2,V3) | path-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #37: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp4-{F}(V1,V1,V3) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #38: input, references = 3, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_length_of-{F}(V3,V4), pppp4-{F}(V1,V2,V3), P_length_of-{F}(V5,V6), path-{F}(V1,V2,V5) | less_or_equal-{T}(V4,V6) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #39: input, references = 3, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_length_of-{F}(V3,V4), path-{F}(V1,V2,V3), V2 == V1 | pppp4-{T}(V1,V2,V3), pppp24-{T}(V1,V2,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #40: input, references = 3, size of lhs = 1: 4.89/5.12 pppp24-{F}(V0,V1,V2) | EXISTS V3: pppp14-{T}(V3,V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #41: input, references = 3, size of lhs = 3: 4.89/5.12 pppp14-{F}(V0,V1,V2,V3), P_length_of-{F}(V0,V4), less_or_equal-{F}(V3,V4) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #42: input, references = 3, size of lhs = 2: 4.89/5.12 pppp14-{F}(V0,V1,V2,V3), P_length_of-{F}(V0,V4) | path-{T}(V1,V2,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #43: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), precedes-{F}(V2,V3,V1), path-{F}(V5,V4,V1) | pppp15-{T}(V1,V3,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #44: input, references = 3, size of lhs = 1: 4.89/5.12 pppp15-{F}(V0,V1,V2) | on_path-{T}(V2,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #45: input, references = 3, size of lhs = 1: 4.89/5.12 pppp15-{F}(V0,V1,V2) | on_path-{T}(V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #46: input, references = 3, size of lhs = 3: 4.89/5.12 pppp15-{F}(V0,V1,V2), sequential-{F}(V2,V1), pppp5-{F}(V0,V1,V2) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #47: input, references = 3, size of lhs = 1: 4.89/5.12 pppp15-{F}(V0,V1,V2) | pppp5-{T}(V0,V1,V2), sequential-{T}(V2,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #48: input, references = 3, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), pppp5-{F}(V1,V2,V3) | EXISTS V4: pppp16-{T}(V1,V2,V3,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #49: input, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), sequential-{F}(V3,V4), precedes-{F}(V4,V2,V1) | pppp5-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #50: input, references = 3, size of lhs = 1: 4.89/5.12 pppp16-{F}(V0,V1,V2,V3) | precedes-{T}(V3,V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #51: input, references = 3, size of lhs = 1: 4.89/5.12 pppp16-{F}(V0,V1,V2,V3) | sequential-{T}(V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #52: input, references = 3, size of lhs = 5: 4.89/5.12 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) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #53: input, references = 4, size of lhs = 5: 4.89/5.12 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) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #54: input, references = 3, size of lhs = 5: 4.89/5.12 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) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #55: input, references = 4, size of lhs = 9: 4.89/5.12 P_empty-{F}(V0), vertex-{F}(V1), vertex-{F}(V2), P_tail_of-{F}(V4,V2), P_head_of-{F}(V4,V6), P_path_cons-{F}(V4,V0,V7), edge-{F}(V4), P_path_cons-{F}(V4,V8,V3), path-{F}(V6,V1,V8) | path-{T}(V2,V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #56: input, references = 3, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), vertex-{F}(V1), vertex-{F}(V2), P_tail_of-{F}(V4,V2), P_head_of-{F}(V4,V1), P_path_cons-{F}(V4,V0,V7), edge-{F}(V4) | path-{T}(V2,V1,V7) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #57: input, references = 3, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V3), edge-{F}(V1) | vertex-{T}(V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #58: input, references = 4, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V3), edge-{F}(V1) | vertex-{T}(V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #59: input, references = 4, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V3), P_tail_of-{F}(V1,V3), edge-{F}(V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #60: input, references = 7, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), sequential-{F}(V1,V2) | pppp6-{T}(V2,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #61: input, references = 7, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), pppp6-{F}(V2,V1) | sequential-{T}(V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #62: input, references = 12, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V2,V3), P_tail_of-{F}(V1,V4) | pppp17-{T}(V1,V2,V3,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #63: input, references = 7, size of lhs = 4: 4.89/5.12 pppp17-{F}(V0,V1,V3,V3), edge-{F}(V1), edge-{F}(V0), V1 == V0 | pppp6-{T}(V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #64: input, references = 4, size of lhs = 2: 4.89/5.12 pppp17-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1) | edge-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #65: input, references = 4, size of lhs = 2: 4.89/5.12 pppp17-{F}(V0,V0,V2,V3), pppp6-{F}(V0,V0) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #66: input, references = 4, size of lhs = 3: 4.89/5.12 pppp17-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1), V2 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #67: input, references = 5, size of lhs = 2: 4.89/5.12 pppp17-{F}(V0,V1,V2,V3), pppp6-{F}(V0,V1) | edge-{T}(V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #68: input, references = 4, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2) | complete-{T}() 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #69: input, references = 5, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2) | EXISTS V3: pppp20-{T}(V3,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #70: input, references = 6, size of lhs = 3: 4.89/5.12 pppp20-{F}(V0,V1,V2), P_number_of_in-{F}(V1,V0,V3), P_number_of_in-{F}(V2,V0,V4) | EXISTS V5: pppp19-{T}(V0,V5) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #71: input, references = 5, size of lhs = 3: 4.89/5.12 pppp20-{F}(V0,V1,V2), P_number_of_in-{F}(V1,V0,V4), P_number_of_in-{F}(V2,V0,V4) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #72: input, references = 6, size of lhs = 1: 4.89/5.12 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #73: input, references = 6, size of lhs = 1: 4.89/5.12 pppp18-{F}(V0,V1,V2) | shortest_path-{T}(V2,V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #74: input, references = 3, size of lhs = 6: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_number_of_in-{F}(V4,V5,V6), P_number_of_in-{F}(V4,V3,V7) | less_or_equal-{T}(V6,V7) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #75: input, references = 5, size of lhs = 9: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_number_of_in-{F}(V4,V5,V6), P_length_of-{F}(V5,V7), path-{F}(V9,V8,V5), V6 == V7 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #76: input, references = 6, size of lhs = 11: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), P_number_of_in-{F}(V2,V6,V7), P_length_of-{F}(V6,V8), P_minus-{F}(V8,V5,V9), path-{F}(V11,V10,V6), V7 == V9 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #77: input, references = 3, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), triangle-{F}(V6,V7,V8) | pppp7-{T}(V7,V6,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #78: input, references = 4, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), pppp7-{F}(V7,V6,V8) | triangle-{T}(V6,V7,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #79: input, references = 3, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), pppp7-{F}(V6,V7,V8) | pppp21-{T}(V6,V7,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #80: input, references = 4, size of lhs = 12: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), edge-{F}(V7), sequential-{F}(V7,V6), sequential-{F}(V6,V8), sequential-{F}(V8,V7), edge-{F}(V8), edge-{F}(V6) | pppp7-{T}(V6,V7,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #81: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | edge-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #82: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | edge-{T}(V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #83: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | sequential-{T}(V2,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #84: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | sequential-{T}(V0,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #85: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | sequential-{T}(V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #86: input, references = 3, size of lhs = 1: 4.89/5.12 pppp21-{F}(V0,V1,V2) | edge-{T}(V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #87: input, references = 4, size of lhs = 10: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), P_number_of_in-{F}(V2,V6,V7), P_number_of_in-{F}(V1,V6,V8), path-{F}(V11,V10,V6), V7 == V8 | EXISTS V9: pppp23-{T}(V6,V9) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #88: input, references = 5, size of lhs = 1: 4.89/5.12 pppp23-{F}(V0,V1) | EXISTS V2: pppp22-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #89: input, references = 4, size of lhs = 1: 4.89/5.12 pppp23-{F}(V0,V1) | on_path-{T}(V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #90: input, references = 4, size of lhs = 2: 4.89/5.12 pppp22-{F}(V0,V1,V2), triangle-{F}(V2,V1,V3) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #91: input, references = 5, size of lhs = 1: 4.89/5.12 pppp22-{F}(V0,V1,V2) | on_path-{T}(V2,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #92: input, references = 7, size of lhs = 1: 4.89/5.12 pppp22-{F}(V0,V1,V2) | sequential-{T}(V2,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #93: input, references = 10, size of lhs = 1: 4.89/5.12 #-{F} V0 | EXISTS V1: P_tail_of-{T}(V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #94: input, references = 9, size of lhs = 1: 4.89/5.12 #-{F} V0 | EXISTS V1: P_head_of-{T}(V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #95: input, references = 6, size of lhs = 2: 4.89/5.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_path_cons-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #96: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_empty-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #97: input, references = 4, size of lhs = 1: 4.89/5.12 #-{F} V0 | EXISTS V1: P_length_of-{T}(V0,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #98: input, references = 10, size of lhs = 2: 4.89/5.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_number_of_in-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #99: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_triangles-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #100: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_sequential_pairs-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #101: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_graph-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #102: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_edges-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #103: input, references = 3, size of lhs = 2: 4.89/5.12 #-{F} V0, #-{F} V1 | EXISTS V2: P_minus-{T}(V0,V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #104: input, references = 4, size of lhs = 0: 4.89/5.12 FALSE | EXISTS V0: P_n1-{T}(V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 number of initial rules = 105 4.89/5.12 4.89/5.12 Simplifiers: 4.89/5.12 #105: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_tail_of-{F}(V0,V1), P_tail_of-{F}(V0,V3), V1 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #106: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_head_of-{F}(V0,V1), P_head_of-{F}(V0,V3), V1 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #107: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_path_cons-{F}(V0,V1,V2), P_path_cons-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #108: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_empty-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #109: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_length_of-{F}(V0,V1), P_length_of-{F}(V0,V3), V1 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #110: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_number_of_in-{F}(V0,V1,V2), P_number_of_in-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #111: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_triangles-{F}(V0), P_triangles-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #112: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_sequential_pairs-{F}(V0), P_sequential_pairs-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #113: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_graph-{F}(V0), P_graph-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #114: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_edges-{F}(V0), P_edges-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #115: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_minus-{F}(V0,V1,V2), P_minus-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #116: unsound, references = 3, size of lhs = 3: 4.89/5.12 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #117: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp8-{F}(V0,V1,V2), pppp8-{F}(V3,V1,V2), V0 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #118: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #119: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #120: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #121: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp11-{F}(V0,V1,V2,V3,V4), pppp11-{F}(V0,V1,V2,V8,V4), V3 == V8 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #122: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp11-{F}(V0,V1,V2,V3,V4), pppp11-{F}(V0,V6,V7,V8,V9), V4 == V9 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #123: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #124: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #125: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V4,V1,V2,V3), V0 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #126: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V1,V2,V7), V3 == V7 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #127: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V4,V1,V6,V7), V2 == V6 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #128: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp17-{F}(V0,V1,V2,V3), pppp17-{F}(V0,V5,V6,V7), V3 == V7 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #129: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #130: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V5), V1 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #131: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #132: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V1,V2), V0 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #133: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V1 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #134: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp20-{F}(V0,V1,V2), pppp20-{F}(V3,V4,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #135: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V1,V5), V2 == V5 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #136: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp22-{F}(V0,V1,V2), pppp22-{F}(V0,V4,V5), V1 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #137: unsound, references = 3, size of lhs = 3: 4.89/5.12 pppp23-{F}(V0,V1), pppp23-{F}(V0,V3), V1 == V3 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 number of simplifiers = 33 4.89/5.12 4.89/5.12 Learnt: 4.89/5.12 #139: exists( #98, #71 ), references = 1, size of lhs = 1: 4.89/5.12 pppp20-{F}(V0,V1,V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #141: exists( #69, #138 ), references = 1, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #149: mergings( V3 == V4, V4 == V5, V11 == V13; #145 ), references = 1, size of lhs = 11: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), pppp19-{F}(V6,V7), P_number_of_in-{F}(V2,V6,V8), P_length_of-{F}(V6,V9), P_minus-{F}(V9,V5,V10), V8 == V10 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #154: mergings( V6 == V7, V7 == V8, V14 == V16; #150 ), references = 2, size of lhs = 13: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), P_number_of_in-{F}(V2,V6,V7), P_length_of-{F}(V6,V8), P_minus-{F}(V8,V5,V9), V7 == V9, pppp20-{F}(V6,V10,V11), P_number_of_in-{F}(V10,V6,V12), P_number_of_in-{F}(V11,V6,V13) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #156: exists( #98, #154 ), references = 1, size of lhs = 10: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), P_length_of-{F}(V6,V7), P_minus-{F}(V7,V5,V8), pppp20-{F}(V6,V9,V2), P_number_of_in-{F}(V9,V6,V10) | P_number_of_in-{T}(V2,V6,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #166: mergings( V3 == V4, V4 == V5, V10 == V12; #162 ), references = 1, size of lhs = 9: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), pppp19-{F}(V5,V6), P_number_of_in-{F}(V4,V5,V7), P_length_of-{F}(V5,V8), V7 == V8 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #171: mergings( V6 == V7, V7 == V8, V13 == V15; #167 ), references = 1, size of lhs = 11: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_number_of_in-{F}(V4,V5,V6), P_length_of-{F}(V5,V7), V6 == V7, pppp20-{F}(V5,V8,V9), P_number_of_in-{F}(V8,V5,V10), P_number_of_in-{F}(V9,V5,V11) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #183: mergings( V3 == V9, V9 == V10, V10 == V11, V15 == V17, V17 == V18, V4 == V12, V5 == V13, V6 == V14, V13 == V7; #173 ), references = 1, size of lhs = 10: 4.89/5.12 P_edges-{F}(V0), P_sequential_pairs-{F}(V0), P_n1-{F}(V1), P_empty-{F}(V2), P_triangles-{F}(V3), P_graph-{F}(V4), P_length_of-{F}(V5,V6), P_minus-{F}(V6,V1,V7), V7 == V6, pppp20-{F}(V5,V8,V0) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #221: exists( #95, #16 ), references = 1, size of lhs = 1: 4.89/5.12 pppp11-{F}(V0,V1,V2,V3,V4) | P_path_cons-{T}(V0,V3,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #224: exists( #93, #222 ), references = 1, size of lhs = 1: 4.89/5.12 pppp10-{F}(V0,V1,V2,V3) | P_tail_of-{T}(V3,V1) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #238: exists( #98, #76 ), references = 1, size of lhs = 9: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), P_length_of-{F}(V6,V7), P_minus-{F}(V7,V5,V8), path-{F}(V9,V10,V6) | P_number_of_in-{T}(V2,V6,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #241: exists( #98, #75 ), references = 1, size of lhs = 7: 4.89/5.12 P_empty-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_length_of-{F}(V5,V6), path-{F}(V7,V8,V5) | P_number_of_in-{T}(V4,V5,V6) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #243: exists( #95, #18 ), references = 1, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), pppp0-{F}(V1,V3,V4) | P_path_cons-{T}(V1,V0,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #263: exists( #94, #261 ), references = 2, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp6-{F}(V1,V3) | P_head_of-{T}(V3,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #271: exists( #93, #2 ), references = 1, size of lhs = 3: 4.89/5.12 P_head_of-{F}(V0,V1), pppp8-{F}(V0,V2,V3), V3 == V1 | P_tail_of-{T}(V0,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #285: mergings( V1 == V8; #283 ), references = 1, size of lhs = 17: 4.89/5.12 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_triangles-{F}(V7), P_sequential_pairs-{F}(V8), P_graph-{F}(V9), P_edges-{F}(V10), P_n1-{F}(V11), P_number_of_in-{F}(V8,V5,V12), P_length_of-{F}(V5,V13), P_minus-{F}(V13,V11,V14), V12 == V14 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #327: disj( #27, input ), references = 3, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V3), pppp12-{F}(V1,V4,V5), V2 == V4 | pppp3-{T}(V1,V4,V5) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #329: mergings( V4 == V1; #326 ), references = 3, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V1,V3), pppp12-{F}(V1,V2,V4), V3 == V4 | pppp3-{T}(V1,V2,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #349: exists( #94, #32 ), references = 3, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp2-{F}(V1,V3,V4), V2 == V4 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #351: exists( #93, #348 ), references = 2, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), pppp2-{F}(V1,V2,V3) | P_tail_of-{T}(V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #354: mergings( V3 == V5; #352 ), references = 2, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp2-{F}(V1,V3,V2) | P_head_of-{T}(V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #366: mergings( V3 == V4, V4 == V5, V5 == V6; #361 ), references = 1, size of lhs = 5: 4.89/5.12 P_empty-{F}(V0), pppp12-{F}(V1,V2,V3), pppp12-{F}(V1,V2,V4), V3 == V4, V4 == V2 | pppp3-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #371: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V1; #362 ), references = 1, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), pppp12-{F}(V1,V2,V2), pppp12-{F}(V1,V2,V3), V3 == V2 | pppp3-{T}(V1,V2,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #386: exists( #94, #29 ), references = 2, size of lhs = 4: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp3-{F}(V1,V3,V4), V3 == V2 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #388: mergings( V4 == V3; #384 ), references = 2, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp3-{F}(V1,V2,V3) | P_head_of-{T}(V1,V3) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #390: exists( #93, #385 ), references = 1, size of lhs = 2: 4.89/5.12 P_empty-{F}(V0), pppp3-{F}(V1,V2,V3) | P_tail_of-{T}(V1,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #425: mergings( V3 == V4, V4 == V5; #422 ), references = 4, size of lhs = 6: 4.89/5.12 P_empty-{F}(V0), P_head_of-{F}(V1,V2), P_tail_of-{F}(V3,V4), pppp12-{F}(V5,V4,V2), precedes-{F}(V3,V1,V6), shortest_path-{F}(V7,V8,V6) | pppp2-{T}(V5,V4,V2) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #456: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V24, V14 == V25, V15 == V26, V16 == V27, V17 == V28, V18 == V29; #439 ), references = 1, size of lhs = 20: 4.89/5.12 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), P_tail_of-{F}(V3,V1), sequential-{F}(V2,V4), edge-{F}(V4), P_head_of-{F}(V4,V0), P_head_of-{F}(V5,V0), precedes-{F}(V3,V5,V6), P_empty-{F}(V7), P_triangles-{F}(V8), P_sequential_pairs-{F}(V9), P_graph-{F}(V10), P_edges-{F}(V11), P_n1-{F}(V12), pppp22-{F}(V13,V4,V2), shortest_path-{F}(V14,V15,V6) | pppp13-{T}(V1,V0,V2), pppp13-{T}(V1,V0,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #485: mergings( V2 == V37, V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V23, V23 == V32, V32 == V33, V13 == V24, V14 == V25, V15 == V26, V16 == V27, V17 == V28; #464 ), references = 1, size of lhs = 24: 4.89/5.12 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), P_tail_of-{F}(V3,V1), sequential-{F}(V2,V4), edge-{F}(V4), P_head_of-{F}(V4,V0), P_head_of-{F}(V5,V0), precedes-{F}(V3,V5,V6), P_triangles-{F}(V7), P_sequential_pairs-{F}(V8), P_graph-{F}(V9), P_edges-{F}(V10), P_n1-{F}(V11), pppp22-{F}(V12,V4,V2), P_empty-{F}(V13), P_head_of-{F}(V14,V0), P_tail_of-{F}(V15,V1), precedes-{F}(V15,V14,V16), shortest_path-{F}(V17,V18,V6), shortest_path-{F}(V19,V20,V16) | pppp13-{T}(V1,V0,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #505: mergings( V2 == V37, V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V23, V23 == V32, V32 == V33, V13 == V24, V14 == V25, V15 == V26, V16 == V27, V17 == V28; #465 ), references = 1, size of lhs = 26: 4.89/5.12 complete-{F}(), vertex-{F}(V0), vertex-{F}(V1), V1 == V0, edge-{F}(V2), P_tail_of-{F}(V2,V1), P_tail_of-{F}(V3,V1), sequential-{F}(V2,V4), edge-{F}(V4), P_head_of-{F}(V4,V0), P_head_of-{F}(V5,V0), precedes-{F}(V3,V5,V6), P_triangles-{F}(V7), P_sequential_pairs-{F}(V8), P_graph-{F}(V9), P_edges-{F}(V10), P_n1-{F}(V11), pppp22-{F}(V12,V4,V2), P_empty-{F}(V13), P_head_of-{F}(V14,V0), P_tail_of-{F}(V15,V1), P_head_of-{F}(V2,V16), V16 == V1, precedes-{F}(V15,V14,V17), shortest_path-{F}(V18,V19,V6), shortest_path-{F}(V20,V21,V17) | pppp13-{T}(V1,V0,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #543: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V24, V24 == V31, V31 == V32, V32 == V35, V35 == V36, V16 == V25, V17 == V26, V18 == V27, V19 == V28, V20 == V29; #520 ), references = 1, size of lhs = 25: 4.89/5.12 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V2), sequential-{F}(V1,V3), edge-{F}(V3), P_head_of-{F}(V3,V0), P_head_of-{F}(V4,V0), precedes-{F}(V1,V4,V5), P_triangles-{F}(V6), P_sequential_pairs-{F}(V7), P_graph-{F}(V8), P_edges-{F}(V9), P_n1-{F}(V10), pppp22-{F}(V11,V3,V1), P_head_of-{F}(V12,V0), precedes-{F}(V1,V12,V13), P_empty-{F}(V14), P_head_of-{F}(V15,V0), precedes-{F}(V1,V15,V16), P_tail_of-{F}(V3,V17), V17 == V0, shortest_path-{F}(V18,V19,V5), shortest_path-{F}(V20,V21,V13), shortest_path-{F}(V22,V23,V16) | P_tail_of-{T}(V1,V0) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #600: mergings( V35 == V38, V38 == V39, V39 == V40, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V24, V24 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V37, V19 == V25, V20 == V26, V21 == V27, V22 == V28, V23 == V29; #568 ), references = 2, size of lhs = 20: 4.89/5.12 complete-{F}(), vertex-{F}(V0), P_triangles-{F}(V1), P_sequential_pairs-{F}(V2), P_graph-{F}(V3), P_edges-{F}(V4), P_n1-{F}(V5), edge-{F}(V6), P_head_of-{F}(V6,V0), P_empty-{F}(V7), on_path-{F}(V6,V8), pppp23-{F}(V8,V6), P_tail_of-{F}(V6,V9), V9 == V0, path-{F}(V10,V11,V8), shortest_path-{F}(V12,V13,V8), shortest_path-{F}(V14,V15,V8), shortest_path-{F}(V16,V17,V8), path-{F}(V18,V19,V8), shortest_path-{F}(V20,V21,V8) | pppp22-{T}(V8,V6,V6) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #631: mergings( V34 == V42, V42 == V43, V8 == V41, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V24, V24 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V38, V19 == V25, V20 == V26, V21 == V27, V22 == V28, V23 == V29; #569 ), references = 1, size of lhs = 26: 4.89/5.12 complete-{F}(), vertex-{F}(V0), edge-{F}(V1), P_head_of-{F}(V1,V0), P_triangles-{F}(V2), P_sequential_pairs-{F}(V3), P_graph-{F}(V4), P_edges-{F}(V5), P_n1-{F}(V6), edge-{F}(V7), P_head_of-{F}(V7,V0), P_empty-{F}(V8), on_path-{F}(V7,V9), pppp23-{F}(V9,V1), on_path-{F}(V1,V9), P_tail_of-{F}(V7,V10), P_tail_of-{F}(V11,V10), P_head_of-{F}(V11,V0), P_tail_of-{F}(V1,V12), V12 == V0, path-{F}(V13,V14,V9), shortest_path-{F}(V15,V16,V9), shortest_path-{F}(V17,V18,V9), shortest_path-{F}(V19,V20,V9), path-{F}(V21,V22,V9), shortest_path-{F}(V23,V24,V9) | pppp22-{T}(V9,V1,V7) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #647: mergings( V4 == V5, V2 == V3; #644 ), references = 1, size of lhs = 3: 4.89/5.12 P_empty-{F}(V0), P_tail_of-{F}(V1,V2), pppp12-{F}(V1,V3,V4) | P_head_of-{T}(V1,V3), P_head_of-{T}(V1,V4) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #711: mergings( V8 == V12, V12 == V15, V2 == V10, V10 == V13, V13 == V14; #704 ), references = 1, size of lhs = 20: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), edge-{F}(V5), on_path-{F}(V5,V6), on_path-{F}(V5,V7), pppp23-{F}(V7,V5), P_empty-{F}(V8), P_tail_of-{F}(V5,V9), path-{F}(V10,V11,V6), path-{F}(V12,V13,V6), path-{F}(V14,V15,V7), shortest_path-{F}(V16,V17,V7), shortest_path-{F}(V18,V19,V7), shortest_path-{F}(V20,V21,V7), path-{F}(V22,V23,V7), shortest_path-{F}(V24,V25,V7) | P_head_of-{T}(V5,V9) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #723: mergings( V2 == V3, V3 == V4, V4 == V10, V10 == V11, V11 == V12, V12 == V13; #716 ), references = 1, size of lhs = 19: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), pppp6-{F}(V6,V7), on_path-{F}(V6,V8), on_path-{F}(V6,V9), pppp23-{F}(V9,V6), path-{F}(V10,V11,V8), path-{F}(V12,V13,V8), path-{F}(V14,V15,V9), shortest_path-{F}(V16,V17,V9), shortest_path-{F}(V18,V19,V9), shortest_path-{F}(V20,V21,V9), path-{F}(V22,V23,V9), shortest_path-{F}(V24,V25,V9) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #734: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V12, V12 == V13, V13 == V14, V14 == V15; #726 ), references = 1, size of lhs = 19: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), pppp23-{F}(V6,V7), on_path-{F}(V7,V8), on_path-{F}(V7,V9), pppp23-{F}(V9,V7), path-{F}(V10,V11,V8), path-{F}(V12,V13,V8), path-{F}(V14,V15,V9), shortest_path-{F}(V16,V17,V9), shortest_path-{F}(V18,V19,V9), shortest_path-{F}(V20,V21,V9), path-{F}(V22,V23,V9), shortest_path-{F}(V24,V25,V9) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #750: mergings( V0 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V21, V21 == V22, V22 == V23, V23 == V24, V1 == V16, V2 == V17, V3 == V18, V4 == V19, V5 == V20; #736 ), references = 1, size of lhs = 19: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), P_number_of_in-{F}(V1,V6,V7), P_number_of_in-{F}(V0,V6,V8), V7 == V8, path-{F}(V9,V10,V6), path-{F}(V11,V12,V6), path-{F}(V13,V14,V6), path-{F}(V15,V16,V6), shortest_path-{F}(V17,V18,V6), shortest_path-{F}(V19,V20,V6), shortest_path-{F}(V21,V22,V6), path-{F}(V23,V24,V6), shortest_path-{F}(V25,V26,V6) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #770: mergings( V3 == V4, V4 == V5, V5 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V20, V20 == V21, V21 == V22, V22 == V23, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19; #754 ), references = 1, size of lhs = 12: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), pppp19-{F}(V6,V7), P_length_of-{F}(V6,V8), P_number_of_in-{F}(V1,V6,V9), P_number_of_in-{F}(V0,V6,V10), V9 == V10 | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #787: mergings( V6 == V7, V7 == V8, V8 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V23, V23 == V24, V24 == V25, V25 == V26, V9 == V18, V10 == V19, V11 == V20, V12 == V21, V13 == V22; #771 ), references = 1, size of lhs = 14: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), P_length_of-{F}(V6,V7), P_number_of_in-{F}(V1,V6,V8), P_number_of_in-{F}(V0,V6,V9), V8 == V9, pppp20-{F}(V6,V10,V11), P_number_of_in-{F}(V10,V6,V12), P_number_of_in-{F}(V11,V6,V13) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #804: mergings( V3 == V4, V4 == V5, V5 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V19, V19 == V20, V20 == V21, V21 == V22, V6 == V14, V0 == V15, V7 == V16, V8 == V17, V9 == V18; #788 ), references = 1, size of lhs = 11: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), P_length_of-{F}(V6,V7), P_number_of_in-{F}(V0,V6,V8), pppp20-{F}(V6,V9,V1), P_number_of_in-{F}(V9,V6,V10) | P_number_of_in-{T}(V1,V6,V8) 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #824: mergings( V3 == V4, V4 == V5, V5 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V19, V19 == V20, V20 == V21, V21 == V22, V0 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18; #807 ), references = 1, size of lhs = 9: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), pppp20-{F}(V6,V0,V1), P_length_of-{F}(V6,V7) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #841: mergings( V2 == V3, V3 == V4, V4 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V19, V19 == V20, V20 == V21, V21 == V22, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18; #825 ), references = 1, size of lhs = 8: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5), pppp20-{F}(V6,V0,V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #859: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V19, V19 == V20, V20 == V21, V21 == V22, V1 == V14, V2 == V15, V7 == V16, V8 == V17, V9 == V18; #842 ), references = 1, size of lhs = 7: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_n1-{F}(V4), P_empty-{F}(V5) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #876: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V17, V17 == V18, V18 == V19, V19 == V20, V5 == V13, V6 == V14, V7 == V15, V8 == V16; #860 ), references = 1, size of lhs = 6: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_edges-{F}(V3), P_empty-{F}(V4) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #892: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V15, V15 == V16, V16 == V17, V17 == V18, V5 == V12, V6 == V13, V7 == V14; #877 ), references = 1, size of lhs = 5: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_graph-{F}(V2), P_empty-{F}(V3) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #907: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V13, V13 == V14, V14 == V15, V15 == V16, V5 == V11, V6 == V12; #893 ), references = 1, size of lhs = 4: 4.89/5.12 complete-{F}(), P_triangles-{F}(V0), P_sequential_pairs-{F}(V1), P_empty-{F}(V2) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #924: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V7, V7 == V12; #909 ), references = 1, size of lhs = 2: 4.89/5.12 P_triangles-{F}(V0), P_empty-{F}(V1) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #938: 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; #925 ), references = 1, size of lhs = 1: 4.89/5.12 P_empty-{F}(V0) | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 #940: exists( #96, #925 ), references = 1, size of lhs = 0: 4.89/5.12 FALSE | FALSE 4.89/5.12 (used 0 times, uses = {}) 4.89/5.12 4.89/5.12 number of learnt formulas = 50 4.89/5.12 4.89/5.12 4.89/5.12 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p 4.89/5.12 4.89/5.12 randbase = 1 4.89/5.12 EOF