TSTP Solution File: REL001+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL001+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:14:36 EDT 2022
% Result : Theorem 11.24s 11.42s
% Output : Refutation 11.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL001+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 : n011.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 00:36:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.24/11.42 GeoParameters:
% 11.24/11.42
% 11.24/11.42 tptp_input = 1
% 11.24/11.42 tptp_output = 0
% 11.24/11.42 nonempty = 1
% 11.24/11.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.24/11.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 11.24/11.42
% 11.24/11.42
% 11.24/11.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.24/11.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.24/11.42
% 11.24/11.42 RuleSystem INPUT:
% 11.24/11.42
% 11.24/11.42 Initial Rules:
% 11.24/11.42 #0: input, references = 6, size of lhs = 3:
% 11.24/11.42 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #1: input, references = 7, size of lhs = 5:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #2: input, references = 9, size of lhs = 8:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #3: input, references = 10, size of lhs = 6:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #4: input, references = 3, size of lhs = 5:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #5: input, references = 4, size of lhs = 3:
% 11.24/11.42 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #6: input, references = 6, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #7: input, references = 5, size of lhs = 4:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #8: input, references = 7, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #9: input, references = 6, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #10: input, references = 6, size of lhs = 8:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #11: input, references = 5, size of lhs = 5:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #12: input, references = 4, size of lhs = 6:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #13: input, references = 4, size of lhs = 3:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp0-{T}(V2,V3)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #14: input, references = 4, size of lhs = 2:
% 11.24/11.42 pppp0-{F}(V0,V1), P_join-{F}(V0,V1,V1) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #15: input, references = 17, size of lhs = 2:
% 11.24/11.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #16: input, references = 15, size of lhs = 1:
% 11.24/11.42 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #17: input, references = 9, size of lhs = 2:
% 11.24/11.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #18: input, references = 7, size of lhs = 2:
% 11.24/11.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #19: input, references = 4, size of lhs = 0:
% 11.24/11.42 FALSE | EXISTS V0: P_one-{T}(V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #20: input, references = 21, size of lhs = 1:
% 11.24/11.42 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #21: input, references = 4, size of lhs = 0:
% 11.24/11.42 FALSE | EXISTS V0: P_top-{T}(V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #22: input, references = 4, size of lhs = 0:
% 11.24/11.42 FALSE | EXISTS V0: P_zero-{T}(V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 number of initial rules = 23
% 11.24/11.42
% 11.24/11.42 Simplifiers:
% 11.24/11.42 #23: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #24: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #25: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #26: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #27: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #28: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #29: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #30: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #31: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #32: unsound, references = 3, size of lhs = 3:
% 11.24/11.42 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 number of simplifiers = 10
% 11.24/11.42
% 11.24/11.42 Learnt:
% 11.24/11.42 #34: exists( #17, #12 ), references = 2, size of lhs = 4:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #36: exists( #20, #7 ), references = 22, size of lhs = 2:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #38: exists( #15, #8 ), references = 6, size of lhs = 5:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #40: exists( #15, #11 ), references = 19, size of lhs = 3:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #44: exists( #16, #42 ), references = 1, size of lhs = 4:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V2,V1,V3) | P_complement-{T}(V1,V3)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #49: exists( #15, #1 ), references = 11, size of lhs = 3:
% 11.24/11.42 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #51: exists( #18, #5 ), references = 25, size of lhs = 2:
% 11.24/11.42 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #54: exists( #15, #0 ), references = 29, size of lhs = 1:
% 11.24/11.42 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #77: exists( #18, #9 ), references = 24, size of lhs = 5:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #117: mergings( V2 == V4, V5 == V6; #112 ), references = 1, size of lhs = 6:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #121: mergings( V2 == V4, V5 == V6, V7 == V9; #113 ), references = 1, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #126: mergings( V9 == V11, V2 == V4, V4 == V5, V6 == V7; #114 ), references = 1, size of lhs = 8:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #140: mergings( V2 == V3, V3 == V4, V4 == V5; #134 ), references = 4, size of lhs = 3:
% 11.24/11.42 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1) | P_converse-{T}(V0,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #158: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #153 ), references = 2, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #160: exists( #15, #10 ), references = 14, size of lhs = 6:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #165: exists( #16, #3 ), references = 10, size of lhs = 4:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #169: exists( #20, #8 ), references = 3, size of lhs = 5:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V3,V5), P_join-{F}(V2,V5,V6) | P_converse-{T}(V4,V6)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #210: mergings( V12 == V14, V2 == V3, V3 == V4, V4 == V5; #203 ), references = 3, size of lhs = 9:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #216: mergings( V10 == V12, V2 == V0, V0 == V3, V3 == V4; #211 ), references = 3, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #227: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #221 ), references = 1, size of lhs = 7:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #251: exists( #15, #247 ), references = 4, size of lhs = 8:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #252: exists( #15, #248 ), references = 2, size of lhs = 10:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #259: exists( #15, #255 ), references = 3, size of lhs = 7:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #270: mergings( V5 == V6, V6 == V7, V7 == V8, V2 == V4; #265 ), references = 1, size of lhs = 7:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #281: exists( #17, #279 ), references = 1, size of lhs = 9:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #290: mergings( V2 == V4; #287 ), references = 3, size of lhs = 5:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), V0 == V2, P_join-{F}(V0,V3,V2) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #292: mergings( V2 == V4; #288 ), references = 3, size of lhs = 7:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V3,V2), P_composition-{F}(V3,V4,V4), V0 == V4, P_join-{F}(V0,V5,V4) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #302: mergings( V2 == V0, V0 == V3; #299 ), references = 1, size of lhs = 1:
% 11.24/11.42 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #304: exists( #15, #6 ), references = 5, size of lhs = 5:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #333: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #323 ), references = 1, size of lhs = 6:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_complement-{F}(V0,V2), P_converse-{F}(V2,V3), P_composition-{F}(V3,V2,V2) | P_converse-{T}(V0,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #342: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #325 ), references = 1, size of lhs = 9:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_complement-{F}(V0,V2), P_converse-{F}(V2,V3), P_composition-{F}(V3,V2,V2), P_join-{F}(V0,V4,V0), P_converse-{F}(V4,V5), P_join-{F}(V0,V5,V6) | P_converse-{T}(V0,V6)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #344: exists( #17, #3 ), references = 1, size of lhs = 4:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #346: exists( #20, #9 ), references = 1, size of lhs = 5:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #363: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #357 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_composition-{F}(V2,V3,V0), P_converse-{F}(V3,V4), P_join-{F}(V4,V2,V4), P_converse-{F}(V4,V3) | P_composition-{T}(V4,V3,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #369: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V9 == V10; #358 ), references = 1, size of lhs = 8:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_composition-{F}(V3,V4,V0), P_converse-{F}(V4,V5), P_join-{F}(V5,V3,V5), P_converse-{F}(V5,V4) | P_composition-{T}(V5,V4,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #377: exists( #16, #375 ), references = 1, size of lhs = 6:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #382: mergings( V2 == V5, V3 == V0; #379 ), references = 2, size of lhs = 3:
% 11.24/11.42 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2) | P_complement-{T}(V2,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #403: mergings( V3 == V4, V4 == V5, V5 == V6; #398 ), references = 1, size of lhs = 5:
% 11.24/11.42 P_top-{F}(V0), P_converse-{F}(V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_converse-{F}(V2,V2) | P_join-{T}(V0,V2,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #408: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #399 ), references = 1, size of lhs = 6:
% 11.24/11.42 P_top-{F}(V0), P_converse-{F}(V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_converse-{F}(V3,V3) | P_join-{T}(V0,V3,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #411: exists( #15, #158 ), references = 3, size of lhs = 5:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #428: mergings( V2 == V3, V3 == V4, V4 == V5; #423 ), references = 2, size of lhs = 11:
% 11.24/11.42 P_one-{F}(V0), P_join-{F}(V1,V1,V1), P_converse-{F}(V2,V1), P_composition-{F}(V3,V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_complement-{F}(V6,V7), V6 == V3, P_join-{F}(V7,V8,V4), P_complement-{F}(V8,V9), P_join-{F}(V7,V9,V5) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #443: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #437 ), references = 3, size of lhs = 11:
% 11.24/11.42 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}(V6,V7), V6 == V3, P_join-{F}(V7,V8,V5), P_complement-{F}(V8,V9), P_join-{F}(V7,V9,V4) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #459: mergings( V3 == V4; #456 ), references = 9, size of lhs = 7:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V3,V2,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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #461: mergings( V3 == V4; #457 ), references = 1, size of lhs = 7:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #475: mergings( V13 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #469 ), references = 1, size of lhs = 12:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V2,V4), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V6,V8), P_composition-{F}(V4,V8,V9), P_join-{F}(V9,V8,V10), V10 == V8 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #477: exists( #15, #2 ), references = 3, size of lhs = 6:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #486: mergings( V0 == V8, V2 == V4; #483 ), references = 2, size of lhs = 11:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_join-{F}(V0,V0,V2), P_complement-{F}(V0,V3), P_complement-{F}(V4,V3), P_composition-{F}(V1,V4,V5), P_complement-{F}(V5,V3), P_complement-{F}(V2,V6), P_complement-{F}(V7,V3), P_complement-{F}(V8,V6), P_meet-{F}(V7,V8,V9) | P_complement-{T}(V3,V9)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #531: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #524 ), references = 1, size of lhs = 19:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,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}(V4,V11,V10), P_complement-{F}(V11,V12), P_meet-{F}(V8,V13,V12), P_complement-{F}(V13,V12), P_complement-{F}(V14,V12), V14 == V12, P_join-{F}(V12,V9,V15), P_complement-{F}(V15,V6) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #538: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #525 ), references = 1, size of lhs = 18:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,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}(V4,V11,V10), P_complement-{F}(V11,V12), V9 == V12, P_meet-{F}(V8,V13,V12), P_complement-{F}(V13,V12), P_complement-{F}(V14,V12) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #544: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #526 ), references = 1, size of lhs = 19:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V2,V2,V2), P_converse-{F}(V3,V2), P_join-{F}(V1,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V6,V4), P_composition-{F}(V7,V3,V7), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_meet-{F}(V10,V9,V7), P_complement-{F}(V10,V11), P_complement-{F}(V12,V11), P_complement-{F}(V13,V11), V13 == V7, P_composition-{F}(V5,V12,V14), P_complement-{F}(V14,V11), P_composition-{F}(V6,V8,V15), P_complement-{F}(V15,V11) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #607: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #599 ), references = 1, size of lhs = 16:
% 11.24/11.42 P_one-{F}(V0), P_top-{F}(V1), P_converse-{F}(V0,V2), P_join-{F}(V2,V3,V3), P_converse-{F}(V4,V3), P_converse-{F}(V5,V3), P_complement-{F}(V6,V7), P_composition-{F}(V4,V6,V8), P_complement-{F}(V8,V7), P_complement-{F}(V9,V7), P_meet-{F}(V9,V10,V7), P_complement-{F}(V10,V11), V1 == V11, P_complement-{F}(V12,V11), P_composition-{F}(V5,V12,V13), P_complement-{F}(V13,V7) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #614: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #600 ), references = 1, size of lhs = 21:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,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}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V14), P_complement-{F}(V16,V12), V16 == V14, P_join-{F}(V12,V9,V17), P_complement-{F}(V17,V14) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #619: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #601 ), references = 2, size of lhs = 20:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,V5,V7), P_complement-{F}(V7,V6), P_complement-{F}(V8,V6), P_complement-{F}(V6,V9), P_complement-{F}(V10,V6), P_composition-{F}(V4,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}(V17,V14,V18), V15 == V18 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #640: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #635 ), references = 1, size of lhs = 18:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,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}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12), P_meet-{F}(V15,V9,V16), V16 == V14 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #646: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #641 ), references = 1, size of lhs = 16:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_join-{F}(V1,V2,V2), P_converse-{F}(V3,V2), P_converse-{F}(V4,V2), P_complement-{F}(V5,V6), P_composition-{F}(V3,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}(V4,V11,V10), P_complement-{F}(V11,V12), P_complement-{F}(V13,V12), P_meet-{F}(V8,V13,V14), P_complement-{F}(V15,V12) | P_meet-{T}(V15,V9,V14)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #671: mergings( V2 == V3, V3 == V4, V4 == V5; #667 ), references = 1, size of lhs = 4:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #691: exists( #17, #689 ), references = 2, size of lhs = 11:
% 11.24/11.42 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
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #694: exists( #15, #692 ), references = 1, size of lhs = 9:
% 11.24/11.42 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)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #715: mergings( V2 == V4; #713 ), references = 1, size of lhs = 19:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_complement-{F}(V0,V3), P_join-{F}(V2,V4,V4), P_converse-{F}(V5,V4), P_converse-{F}(V6,V4), P_complement-{F}(V7,V8), P_composition-{F}(V5,V7,V9), P_complement-{F}(V9,V8), P_complement-{F}(V10,V8), P_complement-{F}(V11,V8), P_composition-{F}(V6,V11,V12), P_complement-{F}(V12,V8), P_complement-{F}(V13,V8), P_meet-{F}(V10,V13,V14), P_complement-{F}(V15,V8), P_join-{F}(V3,V14,V16), V15 == V16 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #752: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #746 ), references = 1, size of lhs = 13:
% 11.24/11.42 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}(V6,V3), P_complement-{F}(V7,V3), P_join-{F}(V3,V7,V8), P_complement-{F}(V8,V9), P_join-{F}(V9,V10,V9), P_join-{F}(V6,V10,V11), V6 == V11 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #759: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8; #754 ), references = 1, size of lhs = 11:
% 11.24/11.42 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}(V6,V3), P_complement-{F}(V7,V3), P_join-{F}(V3,V7,V8), P_complement-{F}(V8,V9), P_join-{F}(V9,V10,V9) | P_join-{T}(V10,V6,V6)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #769: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #763 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_complement-{F}(V0,V3), P_join-{F}(V3,V4,V3), pppp0-{F}(V4,V5) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #778: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V10 == V11, V1 == V5; #770 ), references = 2, size of lhs = 7:
% 11.24/11.42 P_zero-{F}(V0), P_top-{F}(V1), P_one-{F}(V2), P_converse-{F}(V2,V3), P_converse-{F}(V3,V3), P_complement-{F}(V1,V4), P_join-{F}(V4,V0,V4) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #795: mergings( V4 == V10, V10 == V12, V12 == V15, V3 == V11, V5 == V17, V9 == V13, V11 == V14; #787 ), references = 2, size of lhs = 16:
% 11.24/11.42 P_zero-{F}(V0), P_complement-{F}(V1,V0), P_top-{F}(V2), P_complement-{F}(V2,V3), P_complement-{F}(V4,V3), P_complement-{F}(V5,V3), P_one-{F}(V6), P_composition-{F}(V6,V4,V7), P_complement-{F}(V7,V3), P_converse-{F}(V6,V8), P_converse-{F}(V8,V8), P_join-{F}(V2,V2,V9), P_complement-{F}(V9,V0), P_complement-{F}(V10,V3), P_composition-{F}(V6,V10,V11), P_complement-{F}(V11,V3) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #827: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5; #820 ), references = 1, size of lhs = 6:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V2,V4,V5), V5 == V4 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #832: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5; #821 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V4,V5,V6), P_join-{F}(V2,V6,V7), V7 == V6 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #838: mergings( V8 == V9, V2 == V3, V3 == V4, V4 == V5, V6 == V7; #822 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V1), P_converse-{F}(V1,V1), P_complement-{F}(V2,V3), P_join-{F}(V3,V4,V5), P_join-{F}(V3,V5,V6), V6 == V5 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #855: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #848 ), references = 1, size of lhs = 6:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V2,V3,V0), P_join-{F}(V0,V3,V4), V4 == V0 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #860: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #849 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V4,V2,V5), V3 == V5, P_join-{F}(V0,V6,V5) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #866: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #850 ), references = 1, size of lhs = 7:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_join-{F}(V3,V4,V0), P_join-{F}(V0,V4,V5), V5 == V0 | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #874: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #867 ), references = 1, size of lhs = 4:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V2,V3,V0) | P_join-{T}(V0,V3,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #879: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #868 ), references = 1, size of lhs = 5:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V0,V2,V3), P_join-{F}(V4,V5,V3) | P_join-{T}(V0,V5,V3)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #885: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #869 ), references = 1, size of lhs = 5:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V2), P_converse-{F}(V2,V2), P_join-{F}(V3,V4,V0) | P_join-{T}(V0,V4,V0)
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #903: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13; #892 ), references = 2, size of lhs = 5:
% 11.24/11.42 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_converse-{F}(V2,V1), P_composition-{F}(V0,V2,V0) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #907: mergings( V1 == V2; #905 ), references = 1, size of lhs = 2:
% 11.24/11.42 P_one-{F}(V0), P_converse-{F}(V0,V0) | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 #910: exists( #19, #908 ), references = 1, size of lhs = 0:
% 11.24/11.42 FALSE | FALSE
% 11.24/11.42 (used 0 times, uses = {})
% 11.24/11.42
% 11.24/11.42 number of learnt formulas = 76
% 11.24/11.42
% 11.24/11.42
% 11.24/11.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.24/11.42
% 11.24/11.42 randbase = 1
%------------------------------------------------------------------------------