TSTP Solution File: REL013+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL013+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:14:39 EDT 2022
% Result : Theorem 7.17s 7.33s
% Output : Refutation 7.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL013+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 : Sat Jul 23 00:45:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.17/7.33 GeoParameters:
% 7.17/7.33
% 7.17/7.33 tptp_input = 1
% 7.17/7.33 tptp_output = 0
% 7.17/7.33 nonempty = 1
% 7.17/7.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.17/7.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.17/7.33
% 7.17/7.33
% 7.17/7.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.17/7.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.17/7.33
% 7.17/7.33 RuleSystem INPUT:
% 7.17/7.33
% 7.17/7.33 Initial Rules:
% 7.17/7.33 #0: input, references = 6, size of lhs = 3:
% 7.17/7.33 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #1: input, references = 8, size of lhs = 5:
% 7.17/7.33 P_join-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V4 == V6 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #2: input, references = 9, size of lhs = 8:
% 7.17/7.33 P_complement-{F}(V0,V2), P_complement-{F}(V1,V3), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V1,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), V0 == V8 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #3: input, references = 10, size of lhs = 6:
% 7.17/7.33 P_meet-{F}(V0,V1,V2), P_complement-{F}(V0,V3), P_complement-{F}(V1,V4), P_join-{F}(V3,V4,V5), P_complement-{F}(V5,V6), V2 == V6 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #4: input, references = 4, size of lhs = 5:
% 7.17/7.33 P_composition-{F}(V1,V2,V3), P_composition-{F}(V0,V3,V4), P_composition-{F}(V0,V1,V5), P_composition-{F}(V5,V2,V6), V4 == V6 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #5: input, references = 4, size of lhs = 3:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #6: input, references = 9, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_join-{F}(V1,V2,V4), P_composition-{F}(V4,V3,V5), P_composition-{F}(V1,V3,V6), P_composition-{F}(V2,V3,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #7: input, references = 4, size of lhs = 4:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #8: input, references = 5, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V1,V5), P_converse-{F}(V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #9: input, references = 7, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V2,V5), P_converse-{F}(V1,V6), P_composition-{F}(V5,V6,V7), V4 == V7 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #10: input, references = 5, size of lhs = 8:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V3), P_composition-{F}(V1,V2,V4), P_complement-{F}(V4,V5), P_composition-{F}(V3,V5,V6), P_complement-{F}(V2,V7), P_join-{F}(V6,V7,V8), V8 == V7 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #11: input, references = 4, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #12: input, references = 4, size of lhs = 6:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V2 == V5 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #13: input, references = 4, size of lhs = 3:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp0-{T}(V2,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #14: input, references = 4, size of lhs = 3:
% 7.17/7.33 pppp0-{F}(V0,V1), P_composition-{F}(V1,V0,V0), P_composition-{F}(V0,V1,V0) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #15: input, references = 15, size of lhs = 2:
% 7.17/7.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #16: input, references = 18, size of lhs = 1:
% 7.17/7.33 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #17: input, references = 11, size of lhs = 2:
% 7.17/7.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #18: input, references = 10, size of lhs = 2:
% 7.17/7.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #19: input, references = 4, size of lhs = 0:
% 7.17/7.33 FALSE | EXISTS V0: P_one-{T}(V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #20: input, references = 20, size of lhs = 1:
% 7.17/7.33 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #21: input, references = 4, size of lhs = 0:
% 7.17/7.33 FALSE | EXISTS V0: P_top-{T}(V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #22: input, references = 4, size of lhs = 0:
% 7.17/7.33 FALSE | EXISTS V0: P_zero-{T}(V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 number of initial rules = 23
% 7.17/7.33
% 7.17/7.33 Simplifiers:
% 7.17/7.33 #23: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #24: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #25: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #26: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #27: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #28: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #29: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #30: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #31: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #32: unsound, references = 3, size of lhs = 3:
% 7.17/7.33 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 number of simplifiers = 10
% 7.17/7.33
% 7.17/7.33 Learnt:
% 7.17/7.33 #34: exists( #17, #12 ), references = 2, size of lhs = 4:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #36: exists( #20, #7 ), references = 18, size of lhs = 2:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #38: exists( #15, #8 ), references = 8, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_join-{T}(V2,V6,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #40: exists( #15, #11 ), references = 24, size of lhs = 3:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #44: exists( #16, #42 ), references = 1, size of lhs = 4:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V2,V1,V3) | P_complement-{T}(V1,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #49: exists( #15, #1 ), references = 18, size of lhs = 3:
% 7.17/7.33 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #51: exists( #18, #5 ), references = 23, size of lhs = 2:
% 7.17/7.33 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #54: exists( #15, #0 ), references = 38, size of lhs = 1:
% 7.17/7.33 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #77: exists( #18, #9 ), references = 23, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_composition-{T}(V2,V6,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #117: mergings( V2 == V4, V5 == V6; #112 ), references = 1, size of lhs = 6:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), V0 == V2, P_converse-{F}(V2,V0), P_join-{F}(V2,V3,V3) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #121: mergings( V2 == V4, V5 == V6, V7 == V9; #113 ), references = 1, size of lhs = 7:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V0), V0 == V3, P_join-{F}(V3,V4,V4), P_join-{F}(V2,V5,V3) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #126: mergings( V9 == V11, V2 == V4, V4 == V5, V6 == V7; #114 ), references = 2, size of lhs = 8:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V4), V4 == V2, P_join-{F}(V3,V5,V5), P_composition-{F}(V3,V6,V2), P_composition-{F}(V0,V6,V4) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #140: mergings( V2 == V3, V3 == V4, V4 == V5; #134 ), references = 1, size of lhs = 3:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1) | P_converse-{T}(V0,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #158: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #153 ), references = 2, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V4), P_composition-{F}(V2,V4,V5), P_join-{F}(V5,V4,V6), V6 == V4 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #160: exists( #15, #10 ), references = 12, size of lhs = 6:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_composition-{F}(V2,V5,V6), P_complement-{F}(V3,V7) | P_join-{T}(V6,V7,V7)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #165: exists( #16, #3 ), references = 8, size of lhs = 4:
% 7.17/7.33 P_complement-{F}(V0,V1), P_meet-{F}(V0,V2,V3), P_complement-{F}(V2,V4), P_join-{F}(V1,V4,V5) | P_complement-{T}(V5,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #176: exists( #17, #174 ), references = 5, size of lhs = 13:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V5), P_join-{F}(V3,V5,V6), P_complement-{F}(V7,V8), P_join-{F}(V8,V9,V6), P_complement-{F}(V10,V9), P_join-{F}(V8,V10,V11), P_complement-{F}(V11,V12), P_join-{F}(V6,V13,V12), P_join-{F}(V1,V13,V14), V7 == V14 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #183: exists( #17, #3 ), references = 1, size of lhs = 4:
% 7.17/7.33 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5) | P_meet-{T}(V0,V2,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #211: mergings( V12 == V14, V2 == V3, V3 == V4, V4 == V5; #204 ), references = 2, size of lhs = 9:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V2,V1), P_composition-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_complement-{F}(V3,V6), P_join-{F}(V6,V7,V8), P_join-{F}(V5,V8,V9), V9 == V8 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #217: mergings( V10 == V12, V2 == V0, V0 == V3, V3 == V4; #212 ), references = 2, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V1,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V3,V6,V7), V7 == V6 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #228: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #222 ), references = 1, size of lhs = 7:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V3,V4), P_composition-{F}(V3,V2,V5), P_complement-{F}(V5,V6), P_composition-{F}(V4,V6,V0) | P_complement-{T}(V2,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #248: exists( #15, #244 ), references = 3, size of lhs = 8:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V1,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V6,V7,V8), P_join-{F}(V3,V8,V9), V9 == V8 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #249: exists( #15, #245 ), references = 1, size of lhs = 10:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V2,V1), P_composition-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_complement-{F}(V3,V6), P_join-{F}(V6,V7,V8), P_join-{F}(V8,V9,V10), P_join-{F}(V5,V10,V11), V11 == V10 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #256: exists( #15, #252 ), references = 5, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V1,V4), P_join-{F}(V3,V5,V6), P_join-{F}(V4,V7,V8), P_join-{F}(V6,V8,V9) | P_join-{T}(V8,V5,V9)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #273: mergings( V5 == V6, V6 == V7, V7 == V8, V2 == V4; #267 ), references = 1, size of lhs = 7:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_complement-{F}(V2,V2), P_join-{F}(V2,V2,V3), P_composition-{F}(V1,V4,V4), V4 == V3 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #279: mergings( V7 == V8, V8 == V9, V2 == V4, V4 == V5, V3 == V6; #268 ), references = 1, size of lhs = 11:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V1,V2), P_complement-{F}(V2,V2), P_join-{F}(V2,V3,V2), P_join-{F}(V1,V3,V4), P_composition-{F}(V0,V5,V5), V5 == V4, P_complement-{F}(V6,V7), P_join-{F}(V7,V8,V2), P_complement-{F}(V9,V8) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #292: exists( #17, #290 ), references = 1, size of lhs = 9:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V4,V6,V7), P_complement-{F}(V8,V7), P_meet-{F}(V8,V7,V9), V9 == V2 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #298: mergings( V2 == V4; #296 ), references = 2, size of lhs = 5:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), V0 == V2, P_join-{F}(V0,V3,V2) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #307: exists( #16, #304 ), references = 1, size of lhs = 6:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V5 == V2 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #312: mergings( V2 == V5, V3 == V0; #309 ), references = 2, size of lhs = 3:
% 7.17/7.33 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2) | P_complement-{T}(V2,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #318: exists( #20, #9 ), references = 4, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V3,V5), P_composition-{F}(V2,V5,V6) | P_converse-{T}(V4,V6)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #334: mergings( V2 == V4, V4 == V5; #330 ), references = 1, size of lhs = 8:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_composition-{F}(V1,V3,V3), P_composition-{F}(V0,V4,V3), P_composition-{F}(V3,V4,V0), P_composition-{F}(V2,V4,V5), V5 == V2 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #338: mergings( V2 == V4, V4 == V6, V3 == V5; #331 ), references = 2, size of lhs = 9:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_composition-{F}(V1,V3,V3), P_converse-{F}(V3,V4), V4 == V2, P_composition-{F}(V3,V5,V2), P_composition-{F}(V0,V5,V4) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #349: mergings( V2 == V0, V0 == V3; #346 ), references = 1, size of lhs = 1:
% 7.17/7.33 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #397: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #390 ), references = 1, size of lhs = 15:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V2), P_complement-{F}(V4,V5), P_composition-{F}(V3,V4,V6), P_complement-{F}(V6,V5), P_complement-{F}(V7,V5), P_complement-{F}(V8,V5), P_complement-{F}(V9,V5), P_complement-{F}(V10,V5), P_join-{F}(V5,V10,V11), P_complement-{F}(V11,V5), P_join-{F}(V1,V5,V12), V9 == V12 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #406: exists( #15, #2 ), references = 8, size of lhs = 6:
% 7.17/7.33 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V1,V2,V6), P_complement-{F}(V6,V7) | P_join-{T}(V5,V7,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #420: exists( #16, #418 ), references = 3, size of lhs = 10:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_join-{F}(V1,V4,V5), P_complement-{F}(V5,V6), P_complement-{F}(V7,V6), P_meet-{F}(V3,V7,V8), P_complement-{F}(V9,V10), P_join-{F}(V10,V4,V9) | P_complement-{T}(V10,V8)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #423: exists( #15, #158 ), references = 6, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V2), P_complement-{F}(V3,V4), P_composition-{F}(V2,V4,V5) | P_join-{T}(V5,V4,V4)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #437: mergings( V4 == V7, V0 == V6; #433 ), references = 2, size of lhs = 8:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), P_join-{F}(V3,V3,V3), P_complement-{F}(V4,V3), P_join-{F}(V2,V3,V5), V3 == V5 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #440: mergings( V2 == V4, V3 == V5; #434 ), references = 2, size of lhs = 15:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V3,V2), P_join-{F}(V4,V4,V4), P_join-{F}(V4,V5,V3), P_join-{F}(V1,V5,V6), P_complement-{F}(V6,V7), P_complement-{F}(V8,V4), P_join-{F}(V8,V9,V7), P_join-{F}(V1,V9,V10), V4 == V10, P_complement-{F}(V11,V12), P_join-{F}(V12,V13,V8), P_complement-{F}(V14,V13) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #461: mergings( V2 == V4, V4 == V5; #458 ), references = 3, size of lhs = 9:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_composition-{F}(V1,V3,V3), P_composition-{F}(V2,V4,V5), P_composition-{F}(V0,V4,V6), P_composition-{F}(V3,V4,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #476: exists( #17, #474 ), references = 3, size of lhs = 11:
% 7.17/7.33 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V4), P_complement-{F}(V8,V7), P_join-{F}(V6,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V11,V10), P_join-{F}(V5,V11,V12), V5 == V12 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #500: mergings( V3 == V4; #497 ), references = 4, size of lhs = 9:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V3,V0), P_composition-{F}(V3,V4,V5), P_complement-{F}(V5,V6), P_complement-{F}(V4,V7), P_composition-{F}(V2,V6,V7) | P_composition-{T}(V0,V6,V7)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #502: mergings( V3 == V4; #498 ), references = 2, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V2,V3,V2), P_composition-{F}(V1,V4,V5), P_complement-{F}(V5,V6), P_complement-{F}(V4,V7), P_composition-{F}(V3,V6,V7) | P_composition-{T}(V2,V6,V7)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #536: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9; #528 ), references = 2, size of lhs = 22:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_converse-{F}(V1,V0), P_one-{F}(V2), P_converse-{F}(V3,V0), P_converse-{F}(V2,V4), P_composition-{F}(V2,V4,V4), P_complement-{F}(V5,V6), P_composition-{F}(V1,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V9,V6), P_complement-{F}(V10,V6), P_composition-{F}(V3,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12), P_join-{F}(V12,V9,V16), P_complement-{F}(V16,V17), P_join-{F}(V14,V17,V18), V15 == V18 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #542: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9; #529 ), references = 1, size of lhs = 26:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_converse-{F}(V1,V0), P_one-{F}(V2), P_converse-{F}(V3,V0), P_converse-{F}(V2,V4), P_composition-{F}(V2,V4,V4), P_complement-{F}(V5,V6), P_composition-{F}(V1,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V6,V9), P_join-{F}(V9,V6,V10), P_complement-{F}(V11,V6), P_composition-{F}(V3,V12,V11), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_meet-{F}(V8,V14,V15), P_join-{F}(V15,V16,V15), P_complement-{F}(V17,V13), P_join-{F}(V17,V16,V18), V17 == V18, P_join-{F}(V10,V13,V19), P_complement-{F}(V20,V21), P_join-{F}(V21,V22,V19), P_complement-{F}(V23,V22) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #550: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V6 == V11; #530 ), references = 1, size of lhs = 26:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_converse-{F}(V3,V1), P_converse-{F}(V0,V4), P_composition-{F}(V0,V4,V4), P_complement-{F}(V5,V6), P_composition-{F}(V2,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V6,V9), P_join-{F}(V9,V6,V10), P_complement-{F}(V11,V6), P_composition-{F}(V3,V12,V11), P_complement-{F}(V12,V13), P_complement-{F}(V14,V13), P_meet-{F}(V8,V14,V15), P_complement-{F}(V16,V13), P_join-{F}(V10,V13,V17), P_join-{F}(V17,V18,V15), P_join-{F}(V1,V18,V19), V16 == V19, P_complement-{F}(V20,V21), P_join-{F}(V21,V22,V17), P_complement-{F}(V23,V22) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #571: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V13 == V15, V5 == V9; #563 ), references = 1, size of lhs = 29:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_converse-{F}(V1,V0), P_converse-{F}(V2,V0), P_one-{F}(V3), P_converse-{F}(V4,V0), P_converse-{F}(V5,V0), P_converse-{F}(V3,V6), P_composition-{F}(V3,V6,V6), P_complement-{F}(V7,V8), P_composition-{F}(V1,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_composition-{F}(V5,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V8), P_complement-{F}(V14,V15), P_composition-{F}(V2,V14,V16), P_complement-{F}(V16,V15), P_complement-{F}(V17,V15), P_complement-{F}(V18,V15), P_meet-{F}(V17,V19,V12), P_complement-{F}(V19,V20), P_join-{F}(V20,V18,V13), P_complement-{F}(V21,V20), P_composition-{F}(V4,V21,V22), P_complement-{F}(V22,V15), P_complement-{F}(V23,V20), V23 == V12 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #596: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V7; #588 ), references = 2, size of lhs = 10:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V5,V4), P_complement-{F}(V6,V4), P_join-{F}(V3,V4,V7), V4 == V7 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #602: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V8, V6 == V7; #589 ), references = 1, size of lhs = 17:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V4), P_join-{F}(V2,V7,V8), P_complement-{F}(V8,V9), P_complement-{F}(V10,V6), P_join-{F}(V10,V11,V9), P_join-{F}(V2,V11,V12), V6 == V12, P_complement-{F}(V13,V14), P_join-{F}(V14,V15,V10), P_complement-{F}(V16,V15) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #622: mergings( V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14, V12 == V13, V4 == V7, V7 == V15, V5 == V16; #610 ), references = 1, size of lhs = 11:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_join-{F}(V3,V6,V5), P_join-{F}(V2,V6,V7), P_complement-{F}(V7,V8), P_complement-{F}(V9,V8) | P_meet-{T}(V4,V9,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #634: mergings( V16 == V17, V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V14, V12 == V13, V4 == V7, V5 == V17, V7 == V15; #611 ), references = 1, size of lhs = 20:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_join-{F}(V2,V3,V6), P_complement-{F}(V6,V3), P_complement-{F}(V7,V3), P_join-{F}(V3,V8,V7), P_join-{F}(V2,V8,V9), P_complement-{F}(V9,V10), P_complement-{F}(V11,V10), P_complement-{F}(V12,V3), P_join-{F}(V3,V13,V12), P_join-{F}(V2,V13,V14), P_complement-{F}(V14,V15), P_join-{F}(V2,V15,V16), P_complement-{F}(V17,V15) | P_meet-{T}(V4,V11,V16)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #662: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #657 ), references = 2, size of lhs = 9:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_meet-{F}(V4,V5,V6), P_complement-{F}(V3,V7), V6 == V7 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #668: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #663 ), references = 1, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V3,V6) | P_meet-{T}(V4,V5,V6)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #670: exists( #18, #4 ), references = 1, size of lhs = 3:
% 7.17/7.33 P_composition-{F}(V0,V1,V2), P_composition-{F}(V3,V2,V4), P_composition-{F}(V3,V0,V5) | P_composition-{T}(V5,V1,V4)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #694: exists( #16, #692 ), references = 2, size of lhs = 11:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V2,V3), P_complement-{F}(V3,V4), P_join-{F}(V5,V2,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V8,V7), P_join-{F}(V1,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V4,V11), V5 == V11 | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #716: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V5 == V13; #706 ), references = 1, size of lhs = 32:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_converse-{F}(V1,V3), P_converse-{F}(V4,V1), P_converse-{F}(V0,V5), P_composition-{F}(V0,V5,V5), P_complement-{F}(V6,V3), P_complement-{F}(V7,V8), P_composition-{F}(V2,V7,V9), P_complement-{F}(V9,V8), P_composition-{F}(V8,V10,V6), P_complement-{F}(V10,V11), P_join-{F}(V1,V11,V12), P_complement-{F}(V12,V13), P_complement-{F}(V8,V14), P_complement-{F}(V15,V8), P_complement-{F}(V16,V8), P_complement-{F}(V17,V11), P_converse-{F}(V18,V17), P_complement-{F}(V18,V19), P_join-{F}(V19,V14,V16), P_complement-{F}(V20,V19), P_complement-{F}(V21,V19), P_meet-{F}(V15,V21,V22), P_converse-{F}(V22,V23), P_join-{F}(V1,V23,V24), P_complement-{F}(V24,V25), P_join-{F}(V13,V25,V26), P_composition-{F}(V4,V20,V27), P_complement-{F}(V27,V8) | P_converse-{T}(V8,V26)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #723: exists( #15, #6 ), references = 4, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_composition-{F}(V3,V4,V5), P_composition-{F}(V1,V4,V6), P_composition-{F}(V2,V4,V7) | P_join-{T}(V6,V7,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #728: mergings( V3 == V4; #726 ), references = 1, size of lhs = 6:
% 7.17/7.33 P_one-{F}(V0), P_join-{F}(V1,V2,V2), P_join-{F}(V3,V2,V4), P_composition-{F}(V4,V5,V6), P_composition-{F}(V3,V5,V7), P_composition-{F}(V1,V5,V7) | P_composition-{T}(V2,V5,V6)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #738: mergings( V2 == V3, V3 == V4, V4 == V5; #734 ), references = 1, size of lhs = 4:
% 7.17/7.33 P_one-{F}(V0), P_complement-{F}(V1,V0), P_complement-{F}(V2,V3), P_composition-{F}(V3,V2,V1) | P_converse-{T}(V3,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #748: exists( #15, #746 ), references = 1, size of lhs = 9:
% 7.17/7.33 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V4), P_complement-{F}(V8,V7), P_join-{F}(V6,V8,V9), P_complement-{F}(V9,V10), P_join-{F}(V10,V11,V10) | P_join-{T}(V11,V5,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #771: mergings( V3 == V4; #769 ), references = 4, size of lhs = 13:
% 7.17/7.33 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V1,V2,V3), P_complement-{F}(V3,V4), P_composition-{F}(V5,V6,V2), P_join-{F}(V5,V7,V8), P_composition-{F}(V8,V6,V9), P_complement-{F}(V9,V10), P_join-{F}(V9,V11,V10), P_join-{F}(V2,V11,V12), P_join-{F}(V1,V12,V13), P_complement-{F}(V13,V14), P_join-{F}(V14,V4,V15) | P_composition-{T}(V7,V6,V15)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #794: mergings( V14 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V8 == V10; #784 ), references = 1, size of lhs = 32:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_converse-{F}(V2,V3), pppp0-{F}(V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V5,V4,V6), P_converse-{F}(V7,V3), P_join-{F}(V5,V8,V9), P_converse-{F}(V9,V10), P_join-{F}(V6,V9,V11), P_converse-{F}(V11,V12), P_composition-{F}(V10,V2,V13), P_join-{F}(V0,V13,V14), P_complement-{F}(V14,V15), P_composition-{F}(V12,V2,V16), P_complement-{F}(V16,V17), P_join-{F}(V16,V18,V17), P_join-{F}(V13,V18,V19), P_join-{F}(V0,V19,V20), P_complement-{F}(V20,V21), P_join-{F}(V21,V15,V7), P_composition-{F}(V9,V3,V22), P_join-{F}(V0,V22,V23), P_complement-{F}(V23,V24), P_composition-{F}(V11,V3,V25), P_complement-{F}(V25,V26), P_join-{F}(V25,V27,V26), P_join-{F}(V22,V27,V28), P_join-{F}(V0,V28,V29), P_complement-{F}(V29,V30), P_join-{F}(V30,V24,V3) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #808: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V3 == V10, V10 == V12; #797 ), references = 1, size of lhs = 29:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_converse-{F}(V0,V2), P_join-{F}(V0,V0,V3), P_converse-{F}(V3,V4), P_converse-{F}(V5,V6), pppp0-{F}(V6,V7), P_composition-{F}(V2,V5,V8), P_join-{F}(V0,V8,V9), P_complement-{F}(V9,V10), P_composition-{F}(V4,V5,V11), P_complement-{F}(V11,V12), P_join-{F}(V11,V13,V12), P_join-{F}(V8,V13,V14), P_join-{F}(V0,V14,V15), P_complement-{F}(V15,V16), P_join-{F}(V16,V10,V17), P_converse-{F}(V17,V6), P_composition-{F}(V0,V6,V18), P_join-{F}(V0,V18,V19), P_complement-{F}(V19,V20), P_composition-{F}(V3,V6,V21), P_complement-{F}(V21,V22), P_join-{F}(V21,V23,V22), P_join-{F}(V18,V23,V24), P_join-{F}(V0,V24,V25), P_complement-{F}(V25,V26), P_join-{F}(V26,V20,V6) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #822: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V12, V12 == V14; #809 ), references = 2, size of lhs = 29:
% 7.17/7.33 P_zero-{F}(V0), P_top-{F}(V1), P_one-{F}(V2), P_converse-{F}(V2,V2), P_converse-{F}(V1,V3), P_join-{F}(V1,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V6,V0), P_composition-{F}(V3,V6,V7), P_join-{F}(V1,V7,V8), P_complement-{F}(V8,V9), P_composition-{F}(V5,V6,V10), P_complement-{F}(V10,V11), P_join-{F}(V10,V12,V11), P_join-{F}(V7,V12,V13), P_join-{F}(V1,V13,V14), P_complement-{F}(V14,V15), P_join-{F}(V15,V9,V16), P_converse-{F}(V16,V0), P_composition-{F}(V1,V0,V17), P_join-{F}(V1,V17,V18), P_complement-{F}(V18,V19), P_composition-{F}(V4,V0,V20), P_complement-{F}(V20,V21), P_join-{F}(V20,V22,V21), P_join-{F}(V17,V22,V23), P_join-{F}(V1,V23,V24), P_complement-{F}(V24,V25), P_join-{F}(V25,V19,V0) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #859: mergings( V19 == V21, V2 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V6 == V11; #850 ), references = 2, size of lhs = 19:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_converse-{F}(V1,V0), P_converse-{F}(V2,V0), P_one-{F}(V3), P_converse-{F}(V3,V4), P_composition-{F}(V3,V4,V4), P_converse-{F}(V5,V0), P_join-{F}(V1,V6,V5), P_complement-{F}(V7,V6), P_composition-{F}(V2,V7,V8), P_complement-{F}(V8,V6), P_join-{F}(V0,V6,V9), P_complement-{F}(V9,V10), P_complement-{F}(V6,V11), P_join-{F}(V6,V12,V11), P_join-{F}(V0,V11,V13), P_complement-{F}(V13,V14), P_join-{F}(V14,V10,V6) | P_converse-{T}(V6,V6)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #864: exists( #15, #461 ), references = 7, size of lhs = 7:
% 7.17/7.33 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_composition-{F}(V1,V3,V3), P_composition-{F}(V2,V4,V5), P_composition-{F}(V0,V4,V6), P_composition-{F}(V3,V4,V7) | P_join-{T}(V6,V7,V5)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #893: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V0 == V8; #885 ), references = 2, size of lhs = 8:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_composition-{F}(V1,V2,V2), P_converse-{F}(V0,V3), P_composition-{F}(V2,V3,V0), P_converse-{F}(V3,V0) | P_composition-{T}(V0,V3,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #901: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V0 == V8, V8 == V10, V11 == V12; #886 ), references = 1, size of lhs = 9:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_composition-{F}(V1,V2,V2), P_composition-{F}(V0,V1,V3), P_converse-{F}(V0,V4), P_composition-{F}(V2,V4,V3), P_converse-{F}(V4,V0) | P_composition-{T}(V0,V4,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #909: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V0 == V9, V9 == V11; #887 ), references = 1, size of lhs = 9:
% 7.17/7.33 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_composition-{F}(V1,V2,V2), P_composition-{F}(V0,V1,V3), P_converse-{F}(V0,V4), P_composition-{F}(V2,V4,V3), P_converse-{F}(V4,V0) | P_composition-{T}(V0,V4,V3)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #921: exists( #16, #662 ), references = 3, size of lhs = 7:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_meet-{F}(V4,V5,V6) | P_complement-{T}(V3,V6)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #937: mergings( V3 == V5, V5 == V7, V4 == V8, V6 == V9; #932 ), references = 1, size of lhs = 8:
% 7.17/7.33 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V3) | P_meet-{T}(V5,V6,V2)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #953: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V10, V7 == V8; #946 ), references = 1, size of lhs = 8:
% 7.17/7.33 P_top-{F}(V0), P_complement-{F}(V1,V0), P_one-{F}(V2), P_composition-{F}(V0,V2,V0), P_converse-{F}(V2,V3), P_converse-{F}(V3,V3), P_converse-{F}(V4,V2), P_composition-{F}(V0,V4,V0) | P_converse-{T}(V0,V0)
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #999: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V18, V18 == V20, V20 == V21, V21 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V31, V31 == V35, V5 == V8, V8 == V10, V10 == V16, V16 == V17, V17 == V22, V22 == V23, V23 == V29, V29 == V34, V34 == V35; #969 ), references = 2, size of lhs = 12:
% 7.17/7.33 P_top-{F}(V0), P_composition-{F}(V0,V1,V0), P_converse-{F}(V1,V2), P_composition-{F}(V2,V2,V2), P_composition-{F}(V0,V2,V0), P_one-{F}(V2), P_converse-{F}(V2,V2), P_converse-{F}(V3,V2), P_composition-{F}(V0,V3,V0), P_composition-{F}(V2,V4,V4), P_composition-{F}(V0,V5,V0), P_composition-{F}(V4,V5,V2) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #1002: exists( #21, #1000 ), references = 1, size of lhs = 5:
% 7.17/7.33 P_one-{F}(V0), P_composition-{F}(V0,V0,V0), P_converse-{F}(V0,V0), P_composition-{F}(V0,V1,V1), P_composition-{F}(V1,V0,V0) | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 #1006: exists( #19, #1004 ), references = 1, size of lhs = 0:
% 7.17/7.33 FALSE | FALSE
% 7.17/7.33 (used 0 times, uses = {})
% 7.17/7.33
% 7.17/7.33 number of learnt formulas = 76
% 7.17/7.33
% 7.17/7.33
% 7.17/7.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.17/7.33
% 7.17/7.33 randbase = 1
%------------------------------------------------------------------------------