%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT004-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 05:58:47 EDT 2022
% Result : Unsatisfiable 2.27s 2.52s
% Output : Refutation 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT004-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 : Fri Jul 22 07:31:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.27/2.52 GeoParameters:
% 2.27/2.52
% 2.27/2.52 tptp_input = 1
% 2.27/2.52 tptp_output = 0
% 2.27/2.52 nonempty = 1
% 2.27/2.52 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/2.52 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.27/2.52
% 2.27/2.52
% 2.27/2.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/2.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/2.52
% 2.27/2.52 RuleSystem INPUT:
% 2.27/2.52
% 2.27/2.52 Initial Rules:
% 2.27/2.52 #0: input, references = 4, size of lhs = 3:
% 2.27/2.52 P_domain-{F}(V0,V1), P_codomain-{F}(V1,V2), V2 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #1: input, references = 4, size of lhs = 3:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V1,V2), V2 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #2: input, references = 4, size of lhs = 3:
% 2.27/2.52 P_domain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #3: input, references = 4, size of lhs = 3:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #4: input, references = 4, size of lhs = 6:
% 2.27/2.52 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_domain-{F}(V4,V5), P_domain-{F}(V0,V6), V5 == V6 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #5: input, references = 6, size of lhs = 6:
% 2.27/2.52 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_compose-{F}(V0,V1,V4), P_codomain-{F}(V4,V5), P_codomain-{F}(V1,V6), V5 == V6 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #6: input, references = 5, size of lhs = 9:
% 2.27/2.52 P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_domain-{F}(V0,V4), P_compose-{F}(V0,V1,V5), P_codomain-{F}(V6,V4), P_compose-{F}(V6,V5,V8), P_compose-{F}(V6,V0,V9), P_compose-{F}(V9,V1,V10), V8 == V10 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #7: input, references = 9, size of lhs = 7:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V6), P_domain-{F}(V2,V6), P_compose-{F}(V0,V2,V8), P_domain-{F}(V5,V6), P_compose-{F}(V0,V5,V8), V5 == V2 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #8: input, references = 7, size of lhs = 9:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V8), P_domain-{F}(V4,V8), P_compose-{F}(V2,V4,V10), P_domain-{F}(V7,V8), P_compose-{F}(V2,V7,V10), V7 == V4 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #9: input, references = 9, size of lhs = 6:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), V1 == V4 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #10: input, references = 8, size of lhs = 10:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), V6 == V8 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #11: input, references = 6, size of lhs = 12:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), V6 == V10 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #12: input, references = 5, size of lhs = 14:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), P_compose-{F}(V5,V7,V11), P_compose-{F}(V5,V9,V12), V11 == V12 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #13: input, references = 4, size of lhs = 13:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V9), P_domain-{F}(V9,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), P_compose-{F}(V5,V9,V11), P_compose-{F}(V5,V9,V12) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #14: input, references = 20, size of lhs = 1:
% 2.27/2.52 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #15: input, references = 15, size of lhs = 1:
% 2.27/2.52 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #16: input, references = 24, size of lhs = 2:
% 2.27/2.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #17: input, references = 4, size of lhs = 0:
% 2.27/2.52 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #18: input, references = 4, size of lhs = 0:
% 2.27/2.52 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #19: input, references = 5, size of lhs = 0:
% 2.27/2.52 FALSE | EXISTS V0: P_h-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #20: input, references = 7, size of lhs = 0:
% 2.27/2.52 FALSE | EXISTS V0: P_g-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 number of initial rules = 21
% 2.27/2.52
% 2.27/2.52 Simplifiers:
% 2.27/2.52 #21: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #22: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #23: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #24: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #25: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #26: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #27: unsound, references = 3, size of lhs = 3:
% 2.27/2.52 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 number of simplifiers = 7
% 2.27/2.52
% 2.27/2.52 Learnt:
% 2.27/2.52 #29: exists( #16, #3 ), references = 2, size of lhs = 1:
% 2.27/2.52 P_codomain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #32: exists( #14, #5 ), references = 13, size of lhs = 4:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V2,V4) | P_codomain-{T}(V3,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #33: exists( #14, #10 ), references = 2, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_h-{F}(V6), P_domain-{F}(V6,V7) | P_codomain-{T}(V5,V7)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #35: exists( #15, #4 ), references = 14, size of lhs = 4:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_domain-{F}(V0,V4) | P_domain-{T}(V3,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #38: exists( #16, #2 ), references = 2, size of lhs = 1:
% 2.27/2.52 P_domain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #39: exists( #16, #6 ), references = 5, size of lhs = 7:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3), P_compose-{F}(V0,V2,V4), P_codomain-{F}(V5,V3), P_compose-{F}(V5,V0,V6), P_compose-{F}(V6,V2,V7) | P_compose-{T}(V5,V4,V7)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #41: exists( #16, #6 ), references = 7, size of lhs = 7:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_domain-{F}(V0,V3), P_compose-{F}(V0,V2,V4), P_codomain-{F}(V5,V3), P_compose-{F}(V5,V4,V6), P_compose-{F}(V5,V0,V7) | P_compose-{T}(V7,V2,V6)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #48: mergings( V11 == V14, V14 == V15; #45 ), references = 2, size of lhs = 15:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_g-{F}(V7), P_domain-{F}(V7,V8), P_codomain-{F}(V9,V8), P_domain-{F}(V9,V10), P_compose-{F}(V9,V7,V11), P_codomain-{F}(V12,V10), P_compose-{F}(V12,V9,V5) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #59: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V10, V4 == V7, V7 == V8, V8 == V10; #50 ), references = 2, size of lhs = 6:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V0,V1) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #61: exists( #15, #9 ), references = 10, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3) | P_domain-{T}(V2,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #64: exists( #14, #62 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #66: exists( #15, #1 ), references = 4, size of lhs = 1:
% 2.27/2.52 P_codomain-{F}(V0,V1) | P_domain-{T}(V1,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #70: exists( #14, #0 ), references = 4, size of lhs = 1:
% 2.27/2.52 P_domain-{F}(V0,V1) | P_codomain-{T}(V1,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #71: exists( #14, #5 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_codomain-{F}(V0,V1), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #72: exists( #14, #9 ), references = 1, size of lhs = 3:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_domain-{F}(V0,V1) | P_codomain-{T}(V0,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #74: exists( #15, #11 ), references = 5, size of lhs = 10:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9) | P_domain-{T}(V9,V6)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #88: exists( #14, #10 ), references = 1, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_h-{F}(V6), P_domain-{F}(V6,V7) | P_codomain-{T}(V5,V7)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #92: mergings( V11 == V14; #90 ), references = 3, size of lhs = 17:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_codomain-{F}(V9,V8), P_domain-{F}(V9,V10), P_compose-{F}(V9,V7,V11), P_codomain-{F}(V12,V10), P_compose-{F}(V12,V9,V5), P_g-{F}(V13), P_domain-{F}(V13,V14), P_compose-{F}(V5,V13,V15) | P_compose-{T}(V12,V11,V15)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #112: mergings( V8 == V18, V12 == V15, V15 == V16, V16 == V17, V13 == V17, V17 == V18, V3 == V14, V4 == V18; #102 ), references = 1, size of lhs = 18:
% 2.27/2.52 P_b-{F}(V0), P_codomain-{F}(V0,V1), P_domain-{F}(V0,V2), P_h-{F}(V3), P_domain-{F}(V3,V4), P_codomain-{F}(V5,V4), P_domain-{F}(V5,V6), P_compose-{F}(V5,V3,V7), P_g-{F}(V7), P_domain-{F}(V7,V6), P_a-{F}(V8), P_domain-{F}(V8,V6), P_codomain-{F}(V8,V6), P_compose-{F}(V8,V0,V9), P_compose-{F}(V8,V5,V9), P_compose-{F}(V8,V8,V9), P_domain-{F}(V9,V6), P_codomain-{F}(V9,V6) | P_compose-{T}(V9,V7,V7)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #124: mergings( V8 == V20, V12 == V17, V17 == V18, V18 == V19, V13 == V19, V19 == V20, V3 == V14, V4 == V15, V5 == V16, V6 == V20, V7 == V20; #103 ), references = 1, size of lhs = 17:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_compose-{F}(V2,V0,V4), P_g-{F}(V4), P_domain-{F}(V4,V3), P_a-{F}(V5), P_codomain-{F}(V5,V6), P_b-{F}(V7), P_domain-{F}(V7,V3), P_codomain-{F}(V7,V3), P_compose-{F}(V5,V7,V8), P_compose-{F}(V7,V2,V8), P_compose-{F}(V7,V7,V8), P_domain-{F}(V8,V3), P_codomain-{F}(V8,V3) | P_compose-{T}(V8,V4,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #146: mergings( V15 == V18, V13 == V26, V20 == V22; #142 ), references = 5, size of lhs = 27:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_domain-{F}(V7,V8), P_g-{F}(V9), P_domain-{F}(V9,V10), P_codomain-{F}(V11,V10), P_domain-{F}(V11,V12), P_compose-{F}(V11,V9,V13), P_compose-{F}(V14,V11,V5), P_codomain-{F}(V14,V12), P_domain-{F}(V15,V12), P_codomain-{F}(V15,V16), P_compose-{F}(V15,V17,V13), P_domain-{F}(V17,V16), P_codomain-{F}(V18,V16), P_domain-{F}(V18,V19), P_compose-{F}(V18,V17,V20), P_codomain-{F}(V21,V19), P_compose-{F}(V21,V18,V22), P_compose-{F}(V14,V15,V22), P_compose-{F}(V5,V7,V23) | P_compose-{T}(V21,V20,V23)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #163: mergings( V13 == V25, V25 == V28, V11 == V14, V3 == V0, V4 == V28; #156 ), references = 3, size of lhs = 32:
% 2.27/2.52 P_b-{F}(V0), P_codomain-{F}(V0,V1), P_domain-{F}(V0,V2), P_h-{F}(V3), P_domain-{F}(V3,V4), P_codomain-{F}(V5,V4), P_domain-{F}(V5,V6), P_compose-{F}(V5,V3,V7), P_domain-{F}(V7,V6), P_g-{F}(V8), P_domain-{F}(V8,V9), P_codomain-{F}(V10,V9), P_domain-{F}(V10,V11), P_compose-{F}(V10,V8,V12), P_codomain-{F}(V13,V11), P_compose-{F}(V13,V10,V14), P_codomain-{F}(V14,V15), P_domain-{F}(V16,V11), P_codomain-{F}(V16,V17), P_compose-{F}(V16,V18,V12), P_domain-{F}(V18,V17), P_codomain-{F}(V19,V17), P_domain-{F}(V19,V6), P_compose-{F}(V19,V18,V20), V20 == V7, P_domain-{F}(V20,V6), P_compose-{F}(V13,V16,V21), P_a-{F}(V22), P_compose-{F}(V22,V0,V14), P_compose-{F}(V22,V5,V14), P_compose-{F}(V22,V19,V21), P_codomain-{F}(V22,V6) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #171: mergings( V13 == V25, V25 == V30, V11 == V14, V3 == V28, V4 == V29, V5 == V0, V6 == V30; #157 ), references = 3, size of lhs = 32:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_compose-{F}(V2,V0,V4), P_domain-{F}(V4,V3), P_g-{F}(V5), P_domain-{F}(V5,V6), P_codomain-{F}(V7,V6), P_domain-{F}(V7,V8), P_compose-{F}(V7,V5,V9), P_codomain-{F}(V10,V8), P_compose-{F}(V10,V7,V11), P_codomain-{F}(V11,V12), P_domain-{F}(V13,V8), P_codomain-{F}(V13,V14), P_compose-{F}(V13,V15,V9), P_domain-{F}(V15,V14), P_codomain-{F}(V16,V14), P_domain-{F}(V16,V3), P_compose-{F}(V16,V15,V17), V17 == V4, P_domain-{F}(V17,V3), P_compose-{F}(V10,V13,V18), P_a-{F}(V19), P_codomain-{F}(V19,V20), P_b-{F}(V21), P_compose-{F}(V19,V21,V11), P_compose-{F}(V21,V2,V11), P_compose-{F}(V21,V16,V18), P_codomain-{F}(V21,V3), P_domain-{F}(V21,V22) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #185: mergings( V16 == V19, V19 == V24, V13 == V20, V20 == V23, V11 == V15, V17 == V23, V8 == V21, V3 == V22, V4 == V23; #174 ), references = 4, size of lhs = 21:
% 2.27/2.52 P_b-{F}(V0), P_codomain-{F}(V0,V1), P_domain-{F}(V0,V2), P_h-{F}(V3), P_domain-{F}(V3,V4), P_codomain-{F}(V5,V4), P_domain-{F}(V5,V6), P_compose-{F}(V5,V3,V7), P_domain-{F}(V7,V6), P_g-{F}(V8), P_codomain-{F}(V9,V6), P_a-{F}(V10), P_codomain-{F}(V10,V6), P_compose-{F}(V10,V0,V11), P_compose-{F}(V10,V5,V11), P_codomain-{F}(V11,V12), P_compose-{F}(V9,V13,V11), P_compose-{F}(V10,V13,V11), P_domain-{F}(V13,V6), P_codomain-{F}(V13,V14), P_domain-{F}(V8,V14) | P_compose-{T}(V13,V8,V7)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #197: mergings( V16 == V19, V19 == V26, V13 == V20, V20 == V25, V11 == V15, V17 == V25, V8 == V21, V3 == V22, V4 == V23, V5 == V24, V6 == V25; #175 ), references = 1, size of lhs = 21:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_compose-{F}(V2,V0,V4), P_domain-{F}(V4,V3), P_g-{F}(V5), P_codomain-{F}(V6,V3), P_a-{F}(V7), P_codomain-{F}(V7,V8), P_b-{F}(V9), P_codomain-{F}(V9,V3), P_domain-{F}(V9,V10), P_compose-{F}(V7,V9,V11), P_compose-{F}(V9,V2,V11), P_codomain-{F}(V11,V12), P_compose-{F}(V6,V13,V11), P_compose-{F}(V9,V13,V11), P_domain-{F}(V13,V3), P_codomain-{F}(V13,V14), P_domain-{F}(V5,V14) | P_compose-{T}(V13,V5,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #224: mergings( V2 == V3, V3 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V4 == V9, V9 == V12, V12 == V19, V5 == V0, V6 == V19; #206 ), references = 1, size of lhs = 7:
% 2.27/2.52 P_b-{F}(V0), P_h-{F}(V0), P_a-{F}(V0), P_g-{F}(V1), V1 == V0, P_codomain-{F}(V0,V2), P_domain-{F}(V0,V2) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #229: exists( #14, #225 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_b-{F}(V0), P_h-{F}(V0), P_a-{F}(V0), P_g-{F}(V1), V1 == V0 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #232: exists( #20, #227 ), references = 1, size of lhs = 3:
% 2.27/2.52 P_b-{F}(V0), P_h-{F}(V0), P_a-{F}(V0) | P_g-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #240: exists( #15, #10 ), references = 6, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7) | P_domain-{T}(V7,V6)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #241: exists( #15, #11 ), references = 1, size of lhs = 9:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7), P_g-{F}(V7) | P_domain-{T}(V7,V6)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #269: mergings( V3 == V6, V6 == V11, V4 == V7, V7 == V10, V5 == V8, V8 == V11; #262 ), references = 4, size of lhs = 9:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2), P_codomain-{F}(V1,V3), P_codomain-{F}(V3,V3), P_domain-{F}(V3,V3), P_domain-{F}(V1,V4), P_codomain-{F}(V0,V4) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #275: exists( #14, #273 ), references = 2, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_g-{F}(V1) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #293: exists( #15, #10 ), references = 1, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_codomain-{F}(V2,V3), P_domain-{F}(V2,V4), P_compose-{F}(V0,V2,V5), P_codomain-{F}(V5,V6), P_h-{F}(V7) | P_domain-{T}(V7,V6)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #322: mergings( V8 == V29, V20 == V27, V9 == V29, V3 == V44, V4 == V28, V5 == V24, V6 == V25, V7 == V26, V0 == V36, V29 == V37, V1 == V21, V27 == V37, V10 == V30, V11 == V31; #306 ), references = 1, size of lhs = 44:
% 2.27/2.52 P_h-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V1,V2), P_domain-{F}(V1,V3), P_domain-{F}(V0,V4), P_domain-{F}(V5,V4), P_codomain-{F}(V5,V6), P_codomain-{F}(V7,V6), P_domain-{F}(V7,V8), P_domain-{F}(V9,V8), P_codomain-{F}(V9,V10), P_codomain-{F}(V11,V8), P_compose-{F}(V11,V9,V12), P_codomain-{F}(V12,V4), P_domain-{F}(V13,V6), P_compose-{F}(V5,V13,V0), P_compose-{F}(V7,V13,V14), P_compose-{F}(V11,V7,V15), P_compose-{F}(V16,V5,V15), P_codomain-{F}(V16,V4), P_domain-{F}(V16,V17), P_domain-{F}(V12,V17), P_g-{F}(V18), P_compose-{F}(V9,V18,V14), P_domain-{F}(V18,V10), P_codomain-{F}(V19,V10), P_domain-{F}(V19,V20), P_compose-{F}(V19,V18,V21), P_codomain-{F}(V22,V20), P_compose-{F}(V22,V19,V12), P_domain-{F}(V23,V20), P_codomain-{F}(V23,V24), P_compose-{F}(V23,V25,V21), P_domain-{F}(V25,V24), P_codomain-{F}(V26,V24), P_domain-{F}(V26,V17), P_compose-{F}(V26,V25,V27), P_domain-{F}(V27,V17), P_compose-{F}(V22,V23,V28), P_a-{F}(V29), P_compose-{F}(V29,V1,V12), P_compose-{F}(V29,V16,V12), P_compose-{F}(V29,V26,V28), P_codomain-{F}(V29,V17) | P_compose-{T}(V12,V0,V27)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #337: mergings( V8 == V26, V20 == V24, V9 == V26, V3 == V41, V4 == V42, V5 == V43, V6 == V25, V7 == V44, V0 == V33, V26 == V34, V1 == V21, V24 == V34, V10 == V27, V11 == V28; #307 ), references = 1, size of lhs = 44:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_domain-{F}(V2,V1), P_codomain-{F}(V2,V3), P_codomain-{F}(V4,V3), P_domain-{F}(V4,V5), P_domain-{F}(V6,V5), P_codomain-{F}(V6,V7), P_codomain-{F}(V8,V5), P_compose-{F}(V8,V6,V9), P_codomain-{F}(V9,V1), P_domain-{F}(V10,V3), P_compose-{F}(V2,V10,V0), P_compose-{F}(V4,V10,V11), P_compose-{F}(V8,V4,V12), P_compose-{F}(V13,V2,V12), P_codomain-{F}(V13,V1), P_domain-{F}(V13,V14), P_domain-{F}(V9,V14), P_g-{F}(V15), P_compose-{F}(V6,V15,V11), P_domain-{F}(V15,V7), P_codomain-{F}(V16,V7), P_domain-{F}(V16,V17), P_compose-{F}(V16,V15,V18), P_codomain-{F}(V19,V17), P_compose-{F}(V19,V16,V9), P_domain-{F}(V20,V17), P_codomain-{F}(V20,V21), P_compose-{F}(V20,V22,V18), P_domain-{F}(V22,V21), P_codomain-{F}(V23,V21), P_domain-{F}(V23,V14), P_compose-{F}(V23,V22,V24), P_domain-{F}(V24,V14), P_compose-{F}(V19,V20,V25), P_a-{F}(V26), P_codomain-{F}(V26,V27), P_b-{F}(V28), P_compose-{F}(V26,V28,V9), P_compose-{F}(V28,V13,V9), P_compose-{F}(V28,V23,V25), P_codomain-{F}(V28,V14), P_domain-{F}(V28,V29) | P_compose-{T}(V9,V0,V24)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #356: mergings( V6 == V8; #353 ), references = 3, size of lhs = 29:
% 2.27/2.52 P_b-{F}(V0), P_codomain-{F}(V0,V1), P_domain-{F}(V0,V2), P_h-{F}(V3), P_domain-{F}(V3,V4), P_codomain-{F}(V5,V4), P_domain-{F}(V5,V6), P_g-{F}(V7), P_domain-{F}(V7,V8), P_codomain-{F}(V9,V8), P_domain-{F}(V9,V10), P_compose-{F}(V9,V7,V11), P_codomain-{F}(V12,V10), P_compose-{F}(V12,V9,V13), P_codomain-{F}(V13,V14), P_domain-{F}(V15,V10), P_codomain-{F}(V15,V16), P_compose-{F}(V15,V17,V11), P_domain-{F}(V17,V16), P_codomain-{F}(V18,V16), P_domain-{F}(V18,V6), P_compose-{F}(V18,V17,V19), P_domain-{F}(V19,V6), P_compose-{F}(V12,V15,V20), P_a-{F}(V21), P_compose-{F}(V21,V0,V13), P_compose-{F}(V21,V5,V13), P_compose-{F}(V21,V18,V20), P_codomain-{F}(V21,V6) | P_compose-{T}(V5,V3,V19)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #358: mergings( V3 == V5; #354 ), references = 1, size of lhs = 29:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V2,V1), P_domain-{F}(V2,V3), P_g-{F}(V4), P_domain-{F}(V4,V5), P_codomain-{F}(V6,V5), P_domain-{F}(V6,V7), P_compose-{F}(V6,V4,V8), P_codomain-{F}(V9,V7), P_compose-{F}(V9,V6,V10), P_codomain-{F}(V10,V11), P_domain-{F}(V12,V7), P_codomain-{F}(V12,V13), P_compose-{F}(V12,V14,V8), P_domain-{F}(V14,V13), P_codomain-{F}(V15,V13), P_domain-{F}(V15,V3), P_compose-{F}(V15,V14,V16), P_domain-{F}(V16,V3), P_compose-{F}(V9,V12,V17), P_a-{F}(V18), P_codomain-{F}(V18,V19), P_b-{F}(V20), P_compose-{F}(V18,V20,V10), P_compose-{F}(V20,V2,V10), P_compose-{F}(V20,V15,V17), P_codomain-{F}(V20,V3), P_domain-{F}(V20,V21) | P_compose-{T}(V2,V0,V16)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #380: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V11, V11 == V13, V13 == V14, V4 == V6, V6 == V14; #367 ), references = 1, size of lhs = 7:
% 2.27/2.52 P_b-{F}(V0), P_g-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), V1 == V0, P_domain-{F}(V0,V2), P_codomain-{F}(V0,V2) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #385: exists( #14, #381 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_b-{F}(V0), P_g-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), V1 == V0 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #406: mergings( V3 == V6, V6 == V8, V8 == V18, V9 == V15, V15 == V20, V18 == V21, V4 == V20, V1 == V0, V20 == V21; #395 ), references = 2, size of lhs = 22:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), P_g-{F}(V2), P_domain-{F}(V2,V3), P_domain-{F}(V1,V3), P_domain-{F}(V0,V3), P_codomain-{F}(V0,V3), P_compose-{F}(V0,V2,V4), P_domain-{F}(V5,V3), P_codomain-{F}(V5,V6), P_compose-{F}(V5,V7,V4), P_domain-{F}(V7,V6), P_codomain-{F}(V8,V6), P_domain-{F}(V8,V3), P_compose-{F}(V8,V7,V9), P_domain-{F}(V9,V3), P_compose-{F}(V0,V5,V10), P_compose-{F}(V0,V8,V10), P_domain-{F}(V11,V3), V1 == V11, P_compose-{F}(V0,V11,V9) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #416: mergings( V9 == V15, V15 == V22, V8 == V6, V6 == V3, V3 == V20, V20 == V23, V4 == V22, V0 == V18, V19 == V22; #396 ), references = 2, size of lhs = 23:
% 2.27/2.52 P_h-{F}(V0), P_g-{F}(V1), P_domain-{F}(V1,V2), P_domain-{F}(V0,V2), P_a-{F}(V3), P_b-{F}(V4), P_codomain-{F}(V4,V2), P_compose-{F}(V4,V1,V5), P_domain-{F}(V6,V2), V0 == V6, P_compose-{F}(V4,V6,V7), P_domain-{F}(V7,V8), P_codomain-{F}(V3,V8), P_domain-{F}(V4,V8), P_domain-{F}(V9,V8), P_codomain-{F}(V9,V10), P_domain-{F}(V11,V10), P_compose-{F}(V9,V11,V5), P_codomain-{F}(V12,V10), P_domain-{F}(V12,V8), P_compose-{F}(V12,V11,V7), P_compose-{F}(V3,V9,V13), P_compose-{F}(V3,V12,V13) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #435: mergings( V3 == V8, V4 == V7, V5 == V8, V0 == V6, V7 == V8, V1 == V6; #427 ), references = 2, size of lhs = 21:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V0,V1), P_h-{F}(V2), P_g-{F}(V3), P_domain-{F}(V3,V1), P_compose-{F}(V0,V3,V4), P_domain-{F}(V5,V1), P_codomain-{F}(V5,V6), P_compose-{F}(V5,V7,V4), P_domain-{F}(V7,V6), P_codomain-{F}(V8,V6), P_domain-{F}(V8,V1), P_compose-{F}(V8,V7,V9), P_domain-{F}(V9,V1), P_compose-{F}(V0,V5,V10), P_compose-{F}(V0,V8,V10), P_domain-{F}(V11,V1), V2 == V11, P_compose-{F}(V0,V11,V9) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #442: mergings( V3 == V9, V4 == V8, V5 == V9, V0 == V10, V9 == V15, V1 == V11; #428 ), references = 1, size of lhs = 22:
% 2.27/2.52 P_h-{F}(V0), P_g-{F}(V1), P_domain-{F}(V1,V2), P_a-{F}(V3), P_b-{F}(V4), P_codomain-{F}(V4,V2), P_compose-{F}(V4,V1,V5), P_domain-{F}(V6,V2), V0 == V6, P_compose-{F}(V4,V6,V7), P_domain-{F}(V7,V8), P_codomain-{F}(V3,V8), P_domain-{F}(V4,V8), P_domain-{F}(V9,V8), P_codomain-{F}(V9,V10), P_domain-{F}(V11,V10), P_compose-{F}(V9,V11,V5), P_codomain-{F}(V12,V10), P_domain-{F}(V12,V8), P_compose-{F}(V12,V11,V7), P_compose-{F}(V3,V9,V13), P_compose-{F}(V3,V12,V13) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #459: mergings( V3 == V6, V6 == V12, V4 == V7, V7 == V13, V5 == V8, V8 == V12; #452 ), references = 1, size of lhs = 9:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V3), P_domain-{F}(V3,V4), P_codomain-{F}(V0,V5), P_domain-{F}(V1,V5), P_codomain-{F}(V1,V6), V6 == V4 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #462: exists( #14, #460 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_g-{F}(V2), P_domain-{F}(V2,V3) | P_codomain-{T}(V0,V3)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #499: mergings( V3 == V8, V4 == V9, V5 == V8; #494 ), references = 4, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_domain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V4), P_codomain-{F}(V1,V5), V3 == V5 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #503: mergings( V3 == V8, V4 == V9, V5 == V8; #495 ), references = 1, size of lhs = 8:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_domain-{F}(V2,V3), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V4), P_codomain-{F}(V1,V5), V5 == V3 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #508: exists( #14, #504 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_domain-{F}(V1,V2) | P_codomain-{T}(V0,V2)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #543: mergings( V4 == V8, V8 == V11, V11 == V15, V12 == V3, V3 == V16, V5 == V9, V9 == V16, V1 == V0, V15 == V16, V6 == V10, V7 == V16; #529 ), references = 2, size of lhs = 12:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), P_domain-{F}(V1,V2), P_domain-{F}(V0,V2), P_codomain-{F}(V0,V2), P_compose-{F}(V0,V1,V3), P_domain-{F}(V3,V2), P_g-{F}(V4), P_domain-{F}(V5,V2), V4 == V5, P_compose-{F}(V0,V5,V3) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #555: mergings( V3 == V12, V12 == V18, V11 == V4, V4 == V8, V8 == V17, V5 == V9, V9 == V18, V0 == V15, V16 == V18, V6 == V10, V7 == V17; #530 ), references = 2, size of lhs = 13:
% 2.27/2.52 P_h-{F}(V0), P_domain-{F}(V0,V1), P_g-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_codomain-{F}(V4,V1), P_compose-{F}(V4,V0,V5), P_domain-{F}(V5,V6), P_domain-{F}(V4,V6), P_codomain-{F}(V3,V6), P_domain-{F}(V7,V1), V2 == V7, P_compose-{F}(V4,V7,V5) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #568: mergings( V3 == V15, V15 == V12, V11 == V4, V4 == V8, V8 == V14, V12 == V5, V5 == V9, V9 == V14, V0 == V1, V6 == V10, V7 == V14, V10 == V16; #531 ), references = 2, size of lhs = 19:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_domain-{F}(V0,V1), P_codomain-{F}(V0,V1), P_h-{F}(V2), P_domain-{F}(V2,V1), P_compose-{F}(V0,V2,V3), P_domain-{F}(V3,V1), P_g-{F}(V4), V2 == V4, P_domain-{F}(V5,V1), P_codomain-{F}(V5,V6), P_compose-{F}(V5,V7,V3), P_domain-{F}(V7,V6), P_codomain-{F}(V8,V6), P_domain-{F}(V8,V1), P_compose-{F}(V8,V7,V3), P_compose-{F}(V0,V5,V9), P_compose-{F}(V0,V8,V9) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #616: mergings( V3 == V4; #612 ), references = 2, size of lhs = 8:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V0,V2), P_domain-{F}(V1,V2), P_g-{F}(V3), V3 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #618: mergings( V3 == V7; #613 ), references = 3, size of lhs = 9:
% 2.27/2.52 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3), P_codomain-{F}(V2,V4), P_domain-{F}(V3,V4), P_codomain-{F}(V3,V5), P_domain-{F}(V0,V5) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #622: mergings( V3 == V4, V4 == V8, V8 == V7; #614 ), references = 1, size of lhs = 12:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), P_g-{F}(V2), V1 == V2, P_compose-{F}(V3,V0,V0), P_domain-{F}(V3,V4), P_codomain-{F}(V3,V4), P_domain-{F}(V0,V4), P_codomain-{F}(V0,V4), P_domain-{F}(V1,V4), P_compose-{F}(V0,V3,V5) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #664: exists( #15, #499 ), references = 1, size of lhs = 6:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_codomain-{F}(V0,V3), P_domain-{F}(V1,V3), P_codomain-{F}(V1,V4) | P_domain-{T}(V2,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #678: exists( #14, #670 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1), P_g-{F}(V2), V2 == V1 | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #682: exists( #20, #675 ), references = 1, size of lhs = 3:
% 2.27/2.52 P_b-{F}(V0), P_a-{F}(V0), P_h-{F}(V1) | P_g-{T}(V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #686: mergings( V1 == V2; #684 ), references = 1, size of lhs = 2:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #702: mergings( V2 == V4; #698 ), references = 2, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_h-{F}(V2) | P_codomain-{T}(V2,V1)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #706: exists( #14, #704 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_h-{F}(V0), P_b-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #708: exists( #20, #705 ), references = 1, size of lhs = 3:
% 2.27/2.52 P_h-{F}(V0), P_b-{F}(V0), P_a-{F}(V1) | P_g-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #712: exists( #14, #9 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V1,V2), P_domain-{F}(V1,V3) | P_codomain-{T}(V0,V3)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #743: mergings( V2 == V3; #741 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_b-{F}(V0), P_h-{F}(V0), P_g-{F}(V0), P_a-{F}(V1) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #752: mergings( V2 == V4; #750 ), references = 3, size of lhs = 5:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_h-{F}(V3), P_domain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #778: mergings( V2 == V4, V3 == V5, V4 == V7; #774 ), references = 1, size of lhs = 6:
% 2.27/2.52 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_codomain-{F}(V2,V3), P_b-{F}(V4) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #780: exists( #14, #774 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_h-{F}(V0), P_g-{F}(V1), V1 == V0, P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #782: exists( #20, #779 ), references = 1, size of lhs = 3:
% 2.27/2.52 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_g-{T}(V0)
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #811: mergings( V2 == V4, V3 == V5, V4 == V6, V0 == V8; #806 ), references = 1, size of lhs = 5:
% 2.27/2.52 P_a-{F}(V0), P_codomain-{F}(V0,V1), P_b-{F}(V2), P_h-{F}(V3), P_g-{F}(V3) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #814: mergings( V2 == V4; #812 ), references = 1, size of lhs = 4:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1), P_h-{F}(V2), P_g-{F}(V2) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #819: mergings( V1 == V3, V2 == V4; #816 ), references = 1, size of lhs = 2:
% 2.27/2.52 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #822: mergings( V1 == V2; #820 ), references = 1, size of lhs = 1:
% 2.27/2.52 P_a-{F}(V0) | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 #824: exists( #17, #820 ), references = 1, size of lhs = 0:
% 2.27/2.52 FALSE | FALSE
% 2.27/2.52 (used 0 times, uses = {})
% 2.27/2.52
% 2.27/2.52 number of learnt formulas = 72
% 2.27/2.52
% 2.27/2.52
% 2.27/2.52 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.27/2.52
% 2.27/2.52 randbase = 1
%------------------------------------------------------------------------------