TSTP Solution File: LAT005-5 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT005-5 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:07:46 EDT 2022
% Result : Unsatisfiable 7.25s 7.43s
% Output : Refutation 7.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT005-5 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:55:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 7.25/7.43 GeoParameters:
% 7.25/7.43
% 7.25/7.43 tptp_input = 1
% 7.25/7.43 tptp_output = 0
% 7.25/7.43 nonempty = 1
% 7.25/7.43 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.43 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.25/7.43
% 7.25/7.43
% 7.25/7.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.43
% 7.25/7.43 RuleSystem INPUT:
% 7.25/7.43
% 7.25/7.43 Initial Rules:
% 7.25/7.43 #0: input, references = 4, size of lhs = 2:
% 7.25/7.43 P_n1-{F}(V0), #-{F} V1 | join-{T}(V0,V1,V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1: input, references = 3, size of lhs = 2:
% 7.25/7.43 P_n1-{F}(V0), #-{F} V1 | join-{T}(V1,V1,V1)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #2: input, references = 12, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), #-{F} V2 | join-{T}(V1,V2,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #3: input, references = 7, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), #-{F} V2 | meet-{T}(V1,V2,V1)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #4: input, references = 5, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), #-{F} V2 | meet-{T}(V2,V2,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #5: input, references = 8, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), #-{F} V2 | meet-{T}(V0,V2,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #6: input, references = 17, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V2,V3,V4) | meet-{T}(V3,V2,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #7: input, references = 14, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V2,V3,V4) | join-{T}(V3,V2,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #8: input, references = 3, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V2,V4,V3) | join-{T}(V2,V3,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #9: input, references = 11, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V2,V4,V3) | meet-{T}(V2,V3,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #10: input, references = 16, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V6,V2,V5), meet-{F}(V7,V6,V3), meet-{F}(V7,V5,V4) | meet-{T}(V3,V2,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #11: input, references = 3, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V3,V2,V4), meet-{F}(V6,V2,V5), meet-{F}(V7,V6,V3) | meet-{T}(V7,V5,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #12: input, references = 3, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V6,V2,V5), join-{F}(V7,V6,V3), join-{F}(V7,V5,V4) | join-{T}(V3,V2,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #13: input, references = 3, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V3,V2,V4), join-{F}(V6,V2,V5), join-{F}(V7,V6,V3) | join-{T}(V7,V5,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #14: input, references = 3, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V2,V5,V2), meet-{F}(V5,V6,V4), join-{F}(V2,V7,V6), meet-{F}(V7,V5,V3) | join-{T}(V2,V3,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #15: input, references = 5, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V2,V3,V4), meet-{F}(V2,V5,V2), join-{F}(V2,V7,V6), meet-{F}(V7,V5,V3) | meet-{T}(V5,V6,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #16: input, references = 3, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_meet_of-{F}(V2,V3,V4) | meet-{T}(V2,V3,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #17: input, references = 7, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), meet-{F}(V5,V4,V2), meet-{F}(V5,V4,V3), V2 == V3 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #18: input, references = 3, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_join_of-{F}(V2,V3,V4) | join-{T}(V2,V3,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #19: input, references = 7, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), join-{F}(V5,V4,V2), join-{F}(V5,V4,V3), V2 == V3 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #20: input, references = 5, size of lhs = 5:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | meet-{T}(V2,V3,V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #21: input, references = 4, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5) | join-{T}(V4,V5,V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #22: input, references = 7, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5) | meet-{T}(V4,V5,V1)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #23: input, references = 6, size of lhs = 7:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6) | meet-{T}(V5,V3,V6)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #24: input, references = 7, size of lhs = 8:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7) | join-{T}(V2,V3,V7)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #25: input, references = 4, size of lhs = 9:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8) | join-{T}(V7,V8,V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #26: input, references = 6, size of lhs = 9:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8) | meet-{T}(V7,V8,V1)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #27: input, references = 7, size of lhs = 10:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9) | meet-{T}(V5,V2,V9)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #28: input, references = 6, size of lhs = 11:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9), P_a2-{F}(V10) | join-{T}(V8,V6,V10)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #29: input, references = 5, size of lhs = 12:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9), P_a2-{F}(V10), P_b2-{F}(V11) | join-{T}(V8,V9,V11)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #30: input, references = 7, size of lhs = 13:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9), P_a2-{F}(V10), P_b2-{F}(V11), meet-{F}(V10,V11,V8) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #31: input, references = 4, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_n1-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #32: input, references = 4, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_n0-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #33: input, references = 3, size of lhs = 2:
% 7.25/7.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet_of-{T}(V0,V1,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #34: input, references = 3, size of lhs = 2:
% 7.25/7.43 #-{F} V0, #-{F} V1 | EXISTS V2: P_join_of-{T}(V0,V1,V2)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #35: input, references = 4, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_a-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #36: input, references = 6, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_b-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #37: input, references = 5, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_c-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #38: input, references = 7, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_r2-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #39: input, references = 6, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_e-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #40: input, references = 6, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_c2-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #41: input, references = 8, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_r1-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #42: input, references = 6, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_d-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #43: input, references = 6, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_a2-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #44: input, references = 5, size of lhs = 0:
% 7.25/7.43 FALSE | EXISTS V0: P_b2-{T}(V0)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 number of initial rules = 45
% 7.25/7.43
% 7.25/7.43 Simplifiers:
% 7.25/7.43 #45: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #46: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #47: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_meet_of-{F}(V0,V1,V2), P_meet_of-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #48: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_join_of-{F}(V0,V1,V2), P_join_of-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #49: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #50: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #51: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #52: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_r2-{F}(V0), P_r2-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #53: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_e-{F}(V0), P_e-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #54: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_c2-{F}(V0), P_c2-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #55: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_r1-{F}(V0), P_r1-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #56: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #57: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_a2-{F}(V0), P_a2-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #58: unsound, references = 3, size of lhs = 3:
% 7.25/7.43 P_b2-{F}(V0), P_b2-{F}(V1), V0 == V1 | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 number of simplifiers = 14
% 7.25/7.43
% 7.25/7.43 Learnt:
% 7.25/7.43 #65: mergings( V1 == V7, V2 == V8; #62 ), references = 3, size of lhs = 7:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_r2-{F}(V3), P_n1-{F}(V4), P_n0-{F}(V5), meet-{F}(V3,V1,V6) | P_e-{T}(V6)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #72: mergings( V1 == V10, V2 == V11; #69 ), references = 4, size of lhs = 10:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_r2-{F}(V3), P_e-{F}(V4), P_c2-{F}(V5), P_r1-{F}(V6), P_n1-{F}(V7), P_n0-{F}(V8), meet-{F}(V3,V0,V9) | P_d-{T}(V9)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #77: mergings( V1 == V11, V2 == V12; #74 ), references = 2, size of lhs = 11:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_r2-{F}(V3), P_e-{F}(V4), P_c2-{F}(V5), P_r1-{F}(V6), P_d-{F}(V7), P_n1-{F}(V8), P_n0-{F}(V9), join-{F}(V6,V4,V10) | P_a2-{T}(V10)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #82: mergings( V1 == V12, V2 == V13; #79 ), references = 3, size of lhs = 12:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_r2-{F}(V3), P_e-{F}(V4), P_c2-{F}(V5), P_r1-{F}(V6), P_d-{F}(V7), P_a2-{F}(V8), P_n1-{F}(V9), P_n0-{F}(V10), join-{F}(V6,V7,V11) | P_b2-{T}(V11)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #137: mergings( V1 == V4, V4 == V6, V6 == V14, V14 == V16, V16 == V24, V24 == V26, V26 == V33, V33 == V35, V35 == V43, V43 == V45, V2 == V3, V3 == V5, V5 == V7, V7 == V15, V15 == V17, V17 == V25, V25 == V27, V27 == V34, V34 == V36, V36 == V44, V44 == V46, V8 == V18, V18 == V28, V28 == V37, V37 == V47, V9 == V19, V19 == V29, V29 == V38, V38 == V48, V10 == V20, V20 == V30, V30 == V39, V39 == V49, V11 == V21, V21 == V31, V31 == V40, V40 == V50, V12 == V13, V13 == V22, V22 == V41, V41 == V51, V51 == V23, V23 == V32, V32 == V42, V42 == V52; #91 ), references = 2, size of lhs = 9:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V5,V2,V1), P_e-{F}(V6), P_c2-{F}(V6) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #142: mergings( V1 == V8, V2 == V9; #139 ), references = 4, size of lhs = 8:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_r2-{F}(V3), P_e-{F}(V4), P_n1-{F}(V5), P_n0-{F}(V6), join-{F}(V0,V1,V7) | P_c2-{T}(V7)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #152: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8; #147 ), references = 2, size of lhs = 5:
% 7.25/7.43 P_c-{F}(V0), P_n0-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_n1-{F}(V3) | P_r2-{T}(V3)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #160: mergings( V1 == V5, V2 == V6; #157 ), references = 3, size of lhs = 5:
% 7.25/7.43 P_a-{F}(V0), P_b-{F}(V1), P_n1-{F}(V2), P_n0-{F}(V3), meet-{F}(V0,V1,V4) | P_c-{T}(V4)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #188: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V2 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V8, V8 == V10, V10 == V17; #172 ), references = 1, size of lhs = 4:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V1), meet-{F}(V0,V1,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #202: mergings( V1 == V3, V3 == V10, V2 == V4, V4 == V11; #197 ), references = 1, size of lhs = 8:
% 7.25/7.43 P_c2-{F}(V0), P_n1-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_r2-{F}(V4), P_e-{F}(V5), P_n0-{F}(V6) | P_r1-{T}(V6)
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #263: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V12, V12 == V16, V16 == V21, V21 == V23, V23 == V25, V25 == V30, V30 == V34, V34 == V39, V39 == V44, V44 == V46, V4 == V6, V6 == V8, V8 == V13, V13 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V31, V31 == V35, V35 == V40, V40 == V45, V45 == V47, V46 == V9, V9 == V14, V14 == V18, V18 == V27, V27 == V36, V36 == V41, V41 == V48, V10 == V11, V11 == V19, V19 == V28, V28 == V32, V32 == V37, V37 == V42, V42 == V49, V49 == V15, V15 == V20, V20 == V29, V29 == V33, V33 == V38, V38 == V43, V43 == V50; #215 ), references = 2, size of lhs = 7:
% 7.25/7.43 P_n1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V1), join-{F}(V1,V1,V1), P_b-{F}(V2), join-{F}(V0,V2,V0), P_c-{F}(V2) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #273: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #268 ), references = 1, size of lhs = 4:
% 7.25/7.43 P_n1-{F}(V0), P_a-{F}(V0), P_n0-{F}(V1), join-{F}(V1,V1,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #313: mergings( V1 == V18, V18 == V21, V21 == V23, V23 == V25, V2 == V19, V19 == V22, V22 == V24, V24 == V26, V3 == V10, V10 == V27, V4 == V11, V11 == V28, V5 == V12, V12 == V29, V6 == V13, V13 == V30, V7 == V14, V14 == V31, V8 == V15, V15 == V32, V16 == V20, V9 == V17, V17 == V33; #289 ), references = 1, size of lhs = 11:
% 7.25/7.43 P_r1-{F}(V0), P_n1-{F}(V1), P_n0-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_r2-{F}(V6), P_e-{F}(V7), P_c2-{F}(V8), P_d-{F}(V9), join-{F}(V0,V9,V0) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #350: mergings( V1 == V3, V3 == V11, V11 == V13, V13 == V27, V27 == V29, V29 == V31, V31 == V33, V2 == V4, V4 == V12, V12 == V14, V14 == V28, V28 == V30, V30 == V32, V32 == V34, V5 == V15, V15 == V21, V21 == V35, V6 == V16, V16 == V22, V22 == V36, V7 == V17, V17 == V23, V23 == V37, V8 == V18, V18 == V24, V24 == V38, V9 == V19, V19 == V25, V25 == V39, V10 == V20, V20 == V26, V26 == V40; #317 ), references = 1, size of lhs = 9:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V5,V2,V1), P_e-{F}(V6), P_c2-{F}(V7) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #385: mergings( V5 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V28, V28 == V30, V30 == V32, V32 == V34, V6 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V29, V29 == V31, V31 == V33, V33 == V35, V1 == V12, V12 == V20, V20 == V24, V24 == V36, V2 == V13, V13 == V21, V21 == V25, V25 == V37, V3 == V14, V14 == V22, V22 == V26, V26 == V38, V4 == V15, V15 == V23, V23 == V27, V27 == V39; #352 ), references = 1, size of lhs = 8:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), join-{F}(V2,V3,V4), P_c-{F}(V5), P_r2-{F}(V6), meet-{F}(V6,V2,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #423: mergings( V1 == V5, V5 == V10, V10 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V29, V29 == V31, V31 == V33, V33 == V35, V6 == V11, V11 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V30, V30 == V32, V32 == V34, V34 == V36, V2 == V4, V4 == V7, V7 == V23, V23 == V26, V26 == V37, V3 == V8, V8 == V17, V17 == V24, V24 == V27, V27 == V38, V37 == V9, V9 == V18, V18 == V25, V25 == V28, V28 == V39; #388 ), references = 1, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), P_b-{F}(V3), join-{F}(V2,V3,V4) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #473: mergings( V1 == V12, V12 == V14, V2 == V13, V13 == V15, V3 == V16, V4 == V17, V5 == V18, V6 == V19, V7 == V20, V8 == V21, V9 == V22, V10 == V23, V11 == V24; #459 ), references = 1, size of lhs = 14:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9), P_a2-{F}(V10), meet-{F}(V8,V10,V8), meet-{F}(V9,V10,V11), join-{F}(V8,V11,V8) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #509: mergings( V1 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V28, V28 == V30, V2 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V29, V29 == V31, V3 == V20, V20 == V32, V4 == V21, V21 == V33, V5 == V22, V22 == V34, V6 == V23, V23 == V35, V7 == V24, V24 == V36, V8 == V25, V25 == V37, V26 == V38, V9 == V27, V27 == V39; #479 ), references = 3, size of lhs = 16:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), P_d-{F}(V9), meet-{F}(V6,V10,V6), meet-{F}(V8,V10,V11), join-{F}(V6,V11,V12), meet-{F}(V13,V10,V9), meet-{F}(V13,V12,V14), join-{F}(V8,V14,V8) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #564: mergings( V1 == V3, V3 == V5, V5 == V19, V19 == V22, V22 == V24, V24 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V48, V48 == V50, V2 == V4, V4 == V6, V6 == V20, V20 == V23, V23 == V25, V25 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V49, V49 == V51, V7 == V13, V13 == V26, V26 == V42, V42 == V52, V8 == V14, V14 == V27, V27 == V43, V43 == V53, V9 == V15, V15 == V28, V28 == V44, V44 == V54, V10 == V16, V16 == V29, V29 == V45, V45 == V55, V11 == V17, V17 == V30, V30 == V46, V46 == V56, V12 == V18, V18 == V31, V31 == V47, V47 == V57; #515 ), references = 2, size of lhs = 13:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V5,V2,V6), P_e-{F}(V7), P_c2-{F}(V8), meet-{F}(V7,V8,V7), join-{F}(V7,V1,V9), meet-{F}(V10,V8,V6), meet-{F}(V10,V9,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #627: mergings( V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V30, V30 == V32, V32 == V34, V34 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V55, V55 == V57, V2 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V31, V31 == V33, V33 == V35, V35 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V56, V56 == V58, V3 == V20, V20 == V25, V25 == V36, V36 == V50, V50 == V59, V4 == V21, V21 == V26, V26 == V37, V37 == V51, V51 == V60, V5 == V22, V22 == V27, V27 == V38, V38 == V52, V52 == V61, V6 == V23, V23 == V28, V28 == V39, V39 == V53, V53 == V62, V60 == V7, V7 == V24, V24 == V29, V29 == V54, V54 == V63; #569 ), references = 1, size of lhs = 10:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_e-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V5,V2,V2), join-{F}(V3,V1,V6), meet-{F}(V2,V6,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #659: mergings( V1 == V10, V10 == V12, V2 == V11, V11 == V13, V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20; #647 ), references = 1, size of lhs = 14:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), meet-{F}(V6,V5,V6), P_c2-{F}(V7), P_r1-{F}(V8), meet-{F}(V8,V5,V9), join-{F}(V6,V9,V10), meet-{F}(V2,V10,V11), join-{F}(V8,V11,V8) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #701: mergings( V1 == V2, V2 == V4, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V3 == V5, V5 == V12, V12 == V14, V14 == V16, V16 == V18, V6 == V20, V7 == V21, V8 == V23, V9 == V24; #684 ), references = 1, size of lhs = 14:
% 7.25/7.43 P_r1-{F}(V0), P_n1-{F}(V1), P_n0-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_r2-{F}(V6), P_e-{F}(V7), P_c2-{F}(V8), meet-{F}(V7,V8,V7), meet-{F}(V3,V8,V3), join-{F}(V7,V2,V9), meet-{F}(V3,V10,V3), meet-{F}(V10,V9,V2) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #721: mergings( V1 == V3, V3 == V5, V5 == V14, V14 == V16, V16 == V18, V18 == V20, V2 == V4, V4 == V6, V6 == V15, V15 == V17, V17 == V19, V19 == V21, V7 == V22, V8 == V23, V9 == V24, V10 == V25, V11 == V26, V12 == V27, V13 == V28; #685 ), references = 1, size of lhs = 16:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), P_r1-{F}(V8), join-{F}(V8,V1,V8), meet-{F}(V6,V9,V6), meet-{F}(V2,V9,V2), meet-{F}(V8,V9,V10), join-{F}(V6,V10,V11), meet-{F}(V2,V12,V2), meet-{F}(V12,V11,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #743: mergings( V1 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V11, V11 == V13, V13 == V15, V15 == V17, V6 == V19, V7 == V20, V8 == V22, V9 == V23; #726 ), references = 1, size of lhs = 13:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), meet-{F}(V6,V7,V6), meet-{F}(V2,V7,V2), join-{F}(V6,V1,V8), meet-{F}(V2,V9,V2), meet-{F}(V9,V8,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #775: mergings( V1 == V2, V2 == V4, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V26, V26 == V28, V28 == V30, V30 == V32, V3 == V5, V5 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V27, V27 == V29, V29 == V31, V31 == V33, V6 == V20, V20 == V34, V7 == V21, V21 == V35, V8 == V22, V22 == V36, V9 == V23, V23 == V37, V10 == V24, V24 == V38, V11 == V25, V25 == V39; #727 ), references = 1, size of lhs = 13:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), P_c2-{F}(V7), meet-{F}(V2,V7,V2), meet-{F}(V6,V7,V6), join-{F}(V6,V1,V8), meet-{F}(V2,V9,V2), meet-{F}(V9,V8,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #816: mergings( V1 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V27, V27 == V29, V2 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V24, V24 == V26, V26 == V28, V28 == V30, V3 == V20, V20 == V32, V4 == V21, V21 == V33, V5 == V34, V6 == V22, V22 == V35; #786 ), references = 1, size of lhs = 11:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), join-{F}(V6,V1,V7), meet-{F}(V2,V8,V2), meet-{F}(V8,V7,V1), meet-{F}(V9,V3,V6) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #860: mergings( V1 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V38, V38 == V40, V40 == V42, V42 == V44, V2 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V39, V39 == V41, V41 == V43, V43 == V45, V20 == V33, V33 == V46, V3 == V21, V21 == V34, V34 == V47, V4 == V22, V22 == V35, V35 == V48, V5 == V23, V23 == V36, V36 == V49, V6 == V24, V24 == V37, V37 == V50; #787 ), references = 1, size of lhs = 11:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_r2-{F}(V5), P_e-{F}(V6), join-{F}(V6,V1,V7), meet-{F}(V2,V8,V2), meet-{F}(V8,V7,V1), meet-{F}(V9,V3,V6) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #916: mergings( V1 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V40, V40 == V42, V3 == V5, V5 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V37, V37 == V39, V39 == V41, V41 == V43, V6 == V44, V7 == V18, V18 == V34, V34 == V45, V8 == V19, V19 == V35, V35 == V46, V9 == V20, V20 == V47; #873 ), references = 1, size of lhs = 10:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), meet-{F}(V3,V3,V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V2,V6,V2), meet-{F}(V3,V6,V7), meet-{F}(V5,V7,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #972: mergings( V1 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V50, V50 == V52, V52 == V54, V54 == V56, V3 == V5, V5 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V51, V51 == V53, V53 == V55, V55 == V57, V6 == V34, V34 == V46, V46 == V58, V7 == V18, V18 == V35, V35 == V47, V47 == V59, V8 == V19, V19 == V36, V36 == V48, V48 == V60, V9 == V20, V20 == V37, V37 == V49, V49 == V61; #874 ), references = 1, size of lhs = 10:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), meet-{F}(V3,V3,V3), P_c-{F}(V4), P_r2-{F}(V5), meet-{F}(V2,V6,V2), meet-{F}(V3,V6,V7), meet-{F}(V5,V7,V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1024: mergings( V1 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V40, V40 == V42, V42 == V44, V44 == V46, V6 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V41, V41 == V43, V43 == V45, V45 == V47, V2 == V12, V12 == V48, V3 == V13, V13 == V23, V23 == V38, V38 == V49, V4 == V14, V14 == V24, V24 == V39, V39 == V50; #977 ), references = 1, size of lhs = 8:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), meet-{F}(V3,V3,V3), P_c-{F}(V4), meet-{F}(V2,V5,V2), meet-{F}(V3,V5,V4) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1082: mergings( V1 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V52, V52 == V54, V54 == V56, V56 == V58, V6 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V53, V53 == V55, V55 == V57, V57 == V59, V2 == V12, V12 == V38, V38 == V49, V49 == V60, V3 == V13, V13 == V23, V23 == V39, V39 == V50, V50 == V61, V4 == V14, V14 == V24, V24 == V40, V40 == V51, V51 == V62; #978 ), references = 1, size of lhs = 8:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), meet-{F}(V3,V3,V3), P_c-{F}(V4), meet-{F}(V2,V5,V2), meet-{F}(V3,V5,V4) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1135: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V2 == V5, V5 == V10, V10 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V46, V46 == V48, V3 == V7, V7 == V16, V16 == V49, V8 == V17, V17 == V26, V26 == V40, V40 == V50; #1087 ), references = 2, size of lhs = 6:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), meet-{F}(V2,V2,V2), P_b-{F}(V3), meet-{F}(V3,V3,V3) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1194: mergings( V1 == V3, V2 == V4; #1191 ), references = 1, size of lhs = 4:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), meet-{F}(V2,V2,V2) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1201: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #1196 ), references = 1, size of lhs = 2:
% 7.25/7.43 P_n1-{F}(V0), P_n0-{F}(V1) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1205: mergings( V1 == V2, V2 == V3; #1202 ), references = 1, size of lhs = 1:
% 7.25/7.43 P_n1-{F}(V0) | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 #1207: exists( #31, #1202 ), references = 1, size of lhs = 0:
% 7.25/7.43 FALSE | FALSE
% 7.25/7.43 (used 0 times, uses = {})
% 7.25/7.43
% 7.25/7.43 number of learnt formulas = 36
% 7.25/7.43
% 7.25/7.43
% 7.25/7.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.25/7.43
% 7.25/7.43 randbase = 1
%------------------------------------------------------------------------------