TSTP Solution File: REL049+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL049+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 06:14:48 EDT 2022
% Result : Theorem 8.12s 8.29s
% Output : Refutation 8.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL049+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 00:47:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.12/8.29 GeoParameters:
% 8.12/8.29
% 8.12/8.29 tptp_input = 1
% 8.12/8.29 tptp_output = 0
% 8.12/8.29 nonempty = 1
% 8.12/8.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.12/8.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.12/8.29
% 8.12/8.29
% 8.12/8.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.12/8.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.12/8.29
% 8.12/8.29 RuleSystem INPUT:
% 8.12/8.29
% 8.12/8.29 Initial Rules:
% 8.12/8.29 #0: input, references = 7, size of lhs = 3:
% 8.12/8.29 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #1: input, references = 7, size of lhs = 5:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #2: input, references = 11, size of lhs = 8:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #3: input, references = 9, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #4: input, references = 3, size of lhs = 5:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #5: input, references = 4, size of lhs = 3:
% 8.12/8.29 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #6: input, references = 6, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #7: input, references = 5, size of lhs = 4:
% 8.12/8.29 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #8: input, references = 5, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #9: input, references = 5, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #10: input, references = 5, size of lhs = 8:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #11: input, references = 5, size of lhs = 5:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #12: input, references = 4, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #13: input, references = 4, size of lhs = 3:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp2-{T}(V3)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #14: input, references = 5, size of lhs = 1:
% 8.12/8.29 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #15: input, references = 7, size of lhs = 2:
% 8.12/8.29 pppp1-{F}(V0,V1), P_join-{F}(V1,V0,V2) | EXISTS V3: pppp0-{T}(V3,V0,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #16: input, references = 4, size of lhs = 3:
% 8.12/8.29 pppp1-{F}(V0,V1), P_join-{F}(V1,V0,V2), V2 == V0 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #17: input, references = 6, size of lhs = 4:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V2,V4), P_join-{F}(V4,V1,V1) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #18: input, references = 6, size of lhs = 5:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V2,V4), P_join-{F}(V4,V1,V5), V3 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #19: input, references = 20, size of lhs = 2:
% 8.12/8.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #20: input, references = 18, size of lhs = 1:
% 8.12/8.29 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #21: input, references = 8, size of lhs = 2:
% 8.12/8.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #22: input, references = 8, size of lhs = 2:
% 8.12/8.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #23: input, references = 4, size of lhs = 0:
% 8.12/8.29 FALSE | EXISTS V0: P_one-{T}(V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #24: input, references = 14, size of lhs = 1:
% 8.12/8.29 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #25: input, references = 4, size of lhs = 0:
% 8.12/8.29 FALSE | EXISTS V0: P_top-{T}(V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #26: input, references = 4, size of lhs = 0:
% 8.12/8.29 FALSE | EXISTS V0: P_zero-{T}(V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 number of initial rules = 27
% 8.12/8.29
% 8.12/8.29 Simplifiers:
% 8.12/8.29 #27: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #28: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #29: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #30: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #31: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #32: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #33: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #34: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #35: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #36: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V1,V5), V2 == V5 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #37: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V1 == V4 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #38: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #39: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #40: unsound, references = 3, size of lhs = 3:
% 8.12/8.29 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 number of simplifiers = 14
% 8.12/8.29
% 8.12/8.29 Learnt:
% 8.12/8.29 #42: exists( #21, #12 ), references = 2, size of lhs = 4:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #44: exists( #24, #7 ), references = 15, size of lhs = 2:
% 8.12/8.29 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #46: exists( #19, #8 ), references = 6, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #48: exists( #19, #11 ), references = 25, size of lhs = 3:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #52: exists( #20, #50 ), references = 1, size of lhs = 4:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V2,V1,V3) | P_complement-{T}(V1,V3)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #57: exists( #19, #1 ), references = 17, size of lhs = 3:
% 8.12/8.29 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #59: exists( #22, #5 ), references = 14, size of lhs = 2:
% 8.12/8.29 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #62: exists( #19, #0 ), references = 46, size of lhs = 1:
% 8.12/8.29 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #85: exists( #22, #9 ), references = 12, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #125: mergings( V2 == V4, V5 == V6; #120 ), references = 1, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #129: mergings( V2 == V4, V5 == V6, V7 == V9; #121 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #134: mergings( V9 == V11, V2 == V4, V4 == V5, V6 == V7; #122 ), references = 1, size of lhs = 8:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #148: mergings( V2 == V3, V3 == V4, V4 == V5; #142 ), references = 3, size of lhs = 3:
% 8.12/8.29 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1) | P_converse-{T}(V0,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #166: mergings( V8 == V10, V2 == V3, V3 == V4, V4 == V5; #161 ), references = 2, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #168: exists( #19, #10 ), references = 10, size of lhs = 6:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #173: exists( #20, #3 ), references = 8, size of lhs = 4:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #184: exists( #21, #182 ), references = 3, size of lhs = 13:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #218: mergings( V12 == V14, V2 == V3, V3 == V4, V4 == V5; #211 ), references = 3, size of lhs = 9:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #224: mergings( V10 == V12, V2 == V0, V0 == V3, V3 == V4; #219 ), references = 3, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #235: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #229 ), references = 1, size of lhs = 7:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #258: exists( #19, #254 ), references = 3, size of lhs = 8:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #259: exists( #19, #255 ), references = 2, size of lhs = 10:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #266: exists( #19, #262 ), references = 1, size of lhs = 7:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #283: mergings( V5 == V6, V6 == V7, V7 == V8, V2 == V4; #277 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #289: mergings( V7 == V8, V8 == V9, V2 == V4, V4 == V5, V3 == V6; #278 ), references = 1, size of lhs = 11:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #300: mergings( V2 == V0, V0 == V3; #297 ), references = 1, size of lhs = 1:
% 8.12/8.29 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #311: exists( #21, #309 ), references = 1, size of lhs = 9:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #320: mergings( V2 == V4; #317 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_composition-{F}(V1,V2,V2), V0 == V2, P_join-{F}(V0,V3,V2) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #322: mergings( V2 == V4; #318 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #328: exists( #20, #325 ), references = 1, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #333: mergings( V2 == V5, V3 == V0; #330 ), references = 1, size of lhs = 3:
% 8.12/8.29 P_zero-{F}(V0), P_one-{F}(V1), P_top-{F}(V2) | P_complement-{T}(V2,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #335: exists( #19, #6 ), references = 5, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #364: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #354 ), references = 1, size of lhs = 6:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #373: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #356 ), references = 1, size of lhs = 9:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #375: exists( #21, #3 ), references = 1, size of lhs = 4:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #378: exists( #20, #376 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V1,V3), V3 == V1, P_join-{F}(V2,V4,V4) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #384: mergings( V3 == V4, V4 == V5; #381 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_join-{F}(V2,V2,V2), P_join-{F}(V2,V3,V2), P_composition-{F}(V3,V4,V1) | P_composition-{T}(V2,V4,V1)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #400: exists( #21, #398 ), references = 1, size of lhs = 10:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V1,V2), V2 == V1, P_join-{F}(V1,V3,V2), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V6), P_join-{F}(V6,V7,V2), P_complement-{F}(V8,V7) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #425: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5; #418 ), references = 1, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #430: mergings( V6 == V7, V2 == V3, V3 == V4, V4 == V5; #419 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #436: mergings( V8 == V9, V2 == V3, V3 == V4, V4 == V5, V6 == V7; #420 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #453: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #446 ), references = 1, size of lhs = 6:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #458: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #447 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #464: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #448 ), references = 1, size of lhs = 7:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #472: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #465 ), references = 8, size of lhs = 4:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #477: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #466 ), references = 1, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #483: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V8 == V9; #467 ), references = 1, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #485: exists( #19, #2 ), references = 5, size of lhs = 6:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #513: mergings( V0 == V5, V5 == V7, V2 == V4; #507 ), references = 1, size of lhs = 7:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), P_complement-{F}(V4,V2), P_meet-{F}(V4,V3,V5) | P_complement-{T}(V2,V5)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #515: mergings( V2 == V4; #508 ), references = 2, size of lhs = 6:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_complement-{F}(V3,V2), V3 == V0 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #517: exists( #19, #166 ), references = 1, size of lhs = 5:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #533: mergings( V5 == V6, V0 == V8, V2 == V4; #528 ), references = 1, size of lhs = 8:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_join-{F}(V3,V3,V3), P_complement-{F}(V4,V3), P_join-{F}(V3,V2,V5), V3 == V5 | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #536: mergings( V2 == V3, V3 == V4; #529 ), references = 1, size of lhs = 10:
% 8.12/8.29 P_one-{F}(V0), P_converse-{F}(V0,V0), P_top-{F}(V1), P_complement-{F}(V1,V2), P_complement-{F}(V2,V3), V3 == V1, P_join-{F}(V3,V3,V3), P_complement-{F}(V4,V5), P_join-{F}(V5,V6,V2), P_complement-{F}(V7,V6) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #555: mergings( V3 == V4; #553 ), references = 5, size of lhs = 7:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #585: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #580 ), references = 1, size of lhs = 19:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #645: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #637 ), references = 1, size of lhs = 16:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #652: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #638 ), references = 1, size of lhs = 17:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_complement-{F}(V0,V2), P_join-{F}(V1,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,V2), P_complement-{F}(V10,V11), V11 == V0, P_complement-{F}(V12,V11), P_composition-{F}(V5,V12,V13), P_complement-{F}(V13,V7) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #657: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #639 ), references = 1, size of lhs = 20:
% 8.12/8.29 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
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #683: mergings( V2 == V3, V3 == V4, V4 == V5; #677 ), references = 1, size of lhs = 4:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #691: mergings( V2 == V4; #689 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1), pppp0-{F}(V2,V0,V0) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #695: mergings( V0 == V1, V3 == V4; #692 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_top-{F}(V0), pppp1-{F}(V0,V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1), P_converse-{F}(V1,V1) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #709: exists( #19, #707 ), references = 2, size of lhs = 4:
% 8.12/8.29 pppp0-{F}(V0,V1,V2), P_join-{F}(V1,V2,V3), P_join-{F}(V3,V0,V1), P_join-{F}(V0,V1,V4) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #716: mergings( V2 == V4; #714 ), references = 1, size of lhs = 5:
% 8.12/8.29 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1), P_join-{F}(V0,V2,V0), pppp0-{F}(V3,V0,V2) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #719: mergings( V4 == V5; #717 ), references = 2, size of lhs = 6:
% 8.12/8.29 P_top-{F}(V0), pppp1-{F}(V0,V1), P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2), P_one-{F}(V3), P_converse-{F}(V3,V3) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #728: mergings( V2 == V3, V3 == V5; #725 ), references = 1, size of lhs = 4:
% 8.12/8.29 P_top-{F}(V0), pppp1-{F}(V0,V1), P_one-{F}(V2), P_converse-{F}(V2,V2) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #732: mergings( V2 == V3, V3 == V4; #729 ), references = 1, size of lhs = 4:
% 8.12/8.29 pppp2-{F}(V0), P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #750: exists( #19, #748 ), references = 1, size of lhs = 2:
% 8.12/8.29 P_join-{F}(V0,V0,V0), pppp0-{F}(V1,V0,V0) | P_join-{T}(V0,V1,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #758: mergings( V0 == V1; #755 ), references = 1, size of lhs = 2:
% 8.12/8.29 pppp1-{F}(V0,V0), P_join-{F}(V0,V0,V0) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #768: exists( #19, #766 ), references = 1, size of lhs = 2:
% 8.12/8.29 P_join-{F}(V0,V1,V0), pppp0-{F}(V0,V2,V1) | P_join-{T}(V2,V0,V2)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #783: exists( #19, #781 ), references = 1, size of lhs = 4:
% 8.12/8.29 P_join-{F}(V0,V1,V0), pppp0-{F}(V2,V0,V3), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V2,V4) | P_join-{T}(V0,V2,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #793: mergings( V0 == V4; #790 ), references = 1, size of lhs = 2:
% 8.12/8.29 P_join-{F}(V0,V1,V0), pppp0-{F}(V2,V0,V1) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #795: exists( #15, #790 ), references = 2, size of lhs = 3:
% 8.12/8.29 pppp1-{F}(V0,V1), P_join-{F}(V0,V1,V0), P_join-{F}(V1,V0,V2) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #805: mergings( V3 == V4; #803 ), references = 1, size of lhs = 6:
% 8.12/8.29 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)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #811: exists( #19, #809 ), references = 1, size of lhs = 1:
% 8.12/8.29 pppp1-{F}(V0,V1) | P_join-{T}(V0,V1,V0)
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #815: exists( #14, #813 ), references = 1, size of lhs = 1:
% 8.12/8.29 pppp2-{F}(V0) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #817: exists( #13, #814 ), references = 1, size of lhs = 3:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #819: exists( #26, #816 ), references = 1, size of lhs = 2:
% 8.12/8.29 P_one-{F}(V0), P_top-{F}(V1) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #821: exists( #25, #818 ), references = 1, size of lhs = 1:
% 8.12/8.29 P_one-{F}(V0) | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 #823: exists( #23, #820 ), references = 1, size of lhs = 0:
% 8.12/8.29 FALSE | FALSE
% 8.12/8.29 (used 0 times, uses = {})
% 8.12/8.29
% 8.12/8.29 number of learnt formulas = 79
% 8.12/8.29
% 8.12/8.29
% 8.12/8.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.12/8.29
% 8.12/8.29 randbase = 1
%------------------------------------------------------------------------------