%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 05:58:52 EDT 2022
% Result : Unsatisfiable 1.37s 1.55s
% Output : Refutation 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:22:55 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.37/1.55 GeoParameters:
% 1.37/1.55
% 1.37/1.55 tptp_input = 1
% 1.37/1.55 tptp_output = 0
% 1.37/1.55 nonempty = 1
% 1.37/1.55 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.37/1.55
% 1.37/1.55
% 1.37/1.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55
% 1.37/1.55 RuleSystem INPUT:
% 1.37/1.55
% 1.37/1.55 Initial Rules:
% 1.37/1.55 #0: input, references = 3, size of lhs = 1:
% 1.37/1.55 equivalent-{F}(V0,V1) | there_exists-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #1: input, references = 3, size of lhs = 2:
% 1.37/1.55 equivalent-{F}(V0,V1), V0 == V1 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #2: input, references = 3, size of lhs = 1:
% 1.37/1.55 there_exists-{F}(V1) | equivalent-{T}(V1,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #3: input, references = 13, size of lhs = 2:
% 1.37/1.55 P_domain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #4: input, references = 9, size of lhs = 2:
% 1.37/1.55 P_codomain-{F}(V0,V1), there_exists-{F}(V1) | there_exists-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #5: input, references = 15, size of lhs = 3:
% 1.37/1.55 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #6: input, references = 16, size of lhs = 5:
% 1.37/1.55 P_compose-{F}(V0,V1,V2), P_domain-{F}(V0,V3), P_codomain-{F}(V1,V4), there_exists-{F}(V2), V3 == V4 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #7: input, references = 5, size of lhs = 4:
% 1.37/1.55 P_domain-{F}(V0,V3), there_exists-{F}(V3), P_codomain-{F}(V2,V3), P_compose-{F}(V0,V2,V4) | there_exists-{T}(V4)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #8: input, references = 5, size of lhs = 5:
% 1.37/1.55 P_compose-{F}(V1,V2,V3), P_compose-{F}(V0,V3,V4), P_compose-{F}(V0,V1,V5), P_compose-{F}(V5,V2,V6), V4 == V6 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #9: input, references = 4, size of lhs = 3:
% 1.37/1.55 P_domain-{F}(V0,V1), P_compose-{F}(V0,V1,V2), V2 == V0 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #10: input, references = 4, size of lhs = 3:
% 1.37/1.55 P_codomain-{F}(V0,V1), P_compose-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #11: input, references = 3, size of lhs = 1:
% 1.37/1.55 equivalent-{F}(V1,V0) | there_exists-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #12: input, references = 3, size of lhs = 1:
% 1.37/1.55 there_exists-{F}(V0) | equivalent-{T}(V0,V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #13: input, references = 4, size of lhs = 3:
% 1.37/1.55 P_codomain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), there_exists-{F}(V3) | there_exists-{T}(V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #14: input, references = 13, size of lhs = 2:
% 1.37/1.55 P_f1-{F}(V0,V1,V2), V0 == V1 | there_exists-{T}(V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #15: input, references = 4, size of lhs = 4:
% 1.37/1.55 P_f1-{F}(V0,V1,V2), V0 == V2, V1 == V2, V0 == V1 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #16: input, references = 8, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2) | there_exists-{T}(V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #17: input, references = 6, size of lhs = 5:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_compose-{F}(V1,V3,V4) | there_exists-{T}(V4)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #18: input, references = 7, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V2), P_c-{F}(V3), P_compose-{F}(V1,V3,V4), P_compose-{F}(V0,V4,V5), there_exists-{F}(V5) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #19: input, references = 17, size of lhs = 1:
% 1.37/1.55 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #20: input, references = 15, size of lhs = 1:
% 1.37/1.55 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #21: input, references = 20, size of lhs = 2:
% 1.37/1.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #22: input, references = 4, size of lhs = 2:
% 1.37/1.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #23: input, references = 4, size of lhs = 0:
% 1.37/1.55 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #24: input, references = 5, size of lhs = 0:
% 1.37/1.55 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #25: input, references = 7, size of lhs = 0:
% 1.37/1.55 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 number of initial rules = 26
% 1.37/1.55
% 1.37/1.55 Simplifiers:
% 1.37/1.55 #26: unsound, references = 3, size of lhs = 2:
% 1.37/1.55 equivalent-{F}(V0,V1), V1 == V0 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #27: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #28: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #29: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #30: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #31: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #32: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #33: unsound, references = 3, size of lhs = 3:
% 1.37/1.55 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 number of simplifiers = 8
% 1.37/1.55
% 1.37/1.55 Learnt:
% 1.37/1.55 #35: exists( #21, #9 ), references = 14, size of lhs = 1:
% 1.37/1.55 P_domain-{F}(V0,V1) | P_compose-{T}(V0,V1,V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #37: exists( #21, #10 ), references = 13, size of lhs = 1:
% 1.37/1.55 P_codomain-{F}(V0,V1) | P_compose-{T}(V1,V0,V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #43: exists( #21, #41 ), references = 2, size of lhs = 5:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_codomain-{F}(V1,V3), V2 == V3 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #45: exists( #20, #42 ), references = 10, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2) | P_codomain-{T}(V1,V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #53: exists( #21, #51 ), references = 2, size of lhs = 9:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7), P_codomain-{F}(V6,V8), V7 == V8 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #57: mergings( V2 == V3; #55 ), references = 1, size of lhs = 5:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V0), P_compose-{F}(V3,V1,V2), P_domain-{F}(V3,V4) | P_domain-{T}(V0,V4)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #68: exists( #21, #66 ), references = 2, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V3,V4,V2), P_domain-{F}(V3,V5), P_codomain-{F}(V4,V6), V5 == V6 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #74: exists( #21, #72 ), references = 3, size of lhs = 8:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6), P_codomain-{F}(V5,V7), V6 == V7 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #81: exists( #22, #15 ), references = 2, size of lhs = 3:
% 1.37/1.55 #-{F} V0, #-{F} V1, V0 == V1 | P_f1-{T}(V0,V1,V0), P_f1-{T}(V0,V1,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #86: exists( #21, #84 ), references = 4, size of lhs = 8:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V1), P_domain-{F}(V1,V0), P_b-{F}(V2), P_compose-{F}(V1,V2,V3), P_c-{F}(V4), P_compose-{F}(V2,V4,V5), P_codomain-{F}(V5,V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #91: exists( #21, #8 ), references = 4, size of lhs = 3:
% 1.37/1.55 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V0,V4), P_compose-{F}(V4,V1,V5) | P_compose-{T}(V3,V2,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #97: exists( #20, #6 ), references = 8, size of lhs = 3:
% 1.37/1.55 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_domain-{F}(V1,V3) | P_codomain-{T}(V2,V3)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #98: exists( #20, #74 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_domain-{F}(V4,V6) | P_codomain-{T}(V5,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #99: exists( #20, #53 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V3), P_compose-{F}(V5,V6,V4), P_domain-{F}(V5,V7) | P_codomain-{T}(V6,V7)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #104: exists( #21, #102 ), references = 2, size of lhs = 7:
% 1.37/1.55 there_exists-{F}(V0), P_domain-{F}(V1,V0), P_a-{F}(V2), P_domain-{F}(V2,V0), P_b-{F}(V2), P_c-{F}(V2), P_compose-{F}(V1,V2,V2) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #111: disj( #81, #14+#6 ), references = 6, size of lhs = 6:
% 1.37/1.55 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V2,V4), V1 == V4, #-{F} V5, V5 == V3 | P_f1-{T}(V5,V3,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #115: exists( #19, #6 ), references = 6, size of lhs = 3:
% 1.37/1.55 there_exists-{F}(V0), P_compose-{F}(V1,V2,V0), P_codomain-{F}(V2,V3) | P_domain-{T}(V1,V3)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #116: exists( #19, #74 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V2), P_compose-{F}(V4,V5,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V4,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #117: exists( #19, #68 ), references = 1, size of lhs = 5:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V0,V2), P_compose-{F}(V3,V4,V2), P_codomain-{F}(V4,V5) | P_domain-{T}(V3,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #126: exists( #19, #124 ), references = 1, size of lhs = 4:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #134: exists( #21, #132 ), references = 5, size of lhs = 7:
% 1.37/1.55 P_domain-{F}(V0,V1), P_compose-{F}(V0,V2,V3), P_codomain-{F}(V2,V4), V1 == V4, P_domain-{F}(V5,V6), P_codomain-{F}(V7,V8), V6 == V8 | P_compose-{T}(V5,V7,V3)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #148: mergings( V9 == V17, V12 == V13, V10 == V18, V15 == V16; #142 ), references = 6, size of lhs = 13:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_codomain-{F}(V4,V5), V2 == V5, P_domain-{F}(V6,V7), P_codomain-{F}(V8,V9), V7 == V9, P_domain-{F}(V10,V11), P_codomain-{F}(V12,V13), V11 == V13 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #153: mergings( V13 == V17, V14 == V18, V3 == V4, V7 == V8; #143 ), references = 3, size of lhs = 14:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_codomain-{F}(V4,V5), V2 == V5, P_compose-{F}(V0,V6,V6), P_domain-{F}(V6,V7), P_domain-{F}(V8,V9), P_codomain-{F}(V10,V11), V9 == V11, P_codomain-{F}(V12,V13), V7 == V13 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #176: exists( #20, #148 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V6), P_codomain-{T}(V4,V8)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #177: exists( #20, #153 ), references = 1, size of lhs = 8:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_compose-{F}(V0,V5,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V8), P_codomain-{T}(V4,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #190: mergings( V0 == V2, V2 == V6, V9 == V10, V1 == V6, V3 == V10; #181 ), references = 1, size of lhs = 8:
% 1.37/1.55 there_exists-{F}(V0), P_domain-{F}(V0,V0), P_a-{F}(V0), P_b-{F}(V0), P_domain-{F}(V1,V0), P_compose-{F}(V0,V0,V2), P_c-{F}(V3), P_domain-{F}(V4,V5) | P_codomain-{T}(V3,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #197: mergings( V0 == V2, V2 == V10, V1 == V10, V10 == V6, V3 == V9, V9 == V11; #182 ), references = 1, size of lhs = 8:
% 1.37/1.55 there_exists-{F}(V0), P_b-{F}(V0), P_a-{F}(V0), P_domain-{F}(V0,V0), P_domain-{F}(V1,V0), P_compose-{F}(V0,V0,V2), P_c-{F}(V3), P_domain-{F}(V4,V5) | P_codomain-{T}(V3,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #204: mergings( V0 == V9, V9 == V6, V1 == V2, V3 == V10, V2 == V6, V10 == V11; #183 ), references = 1, size of lhs = 8:
% 1.37/1.55 there_exists-{F}(V0), P_domain-{F}(V0,V0), P_a-{F}(V0), P_b-{F}(V0), P_domain-{F}(V1,V0), P_compose-{F}(V0,V0,V2), P_c-{F}(V3), P_domain-{F}(V4,V5) | P_codomain-{T}(V3,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #224: exists( #20, #222 ), references = 1, size of lhs = 4:
% 1.37/1.55 P_domain-{F}(V0,V1), P_domain-{F}(V2,V3), P_compose-{F}(V2,V4,V4), P_compose-{F}(V0,V4,V5) | P_codomain-{T}(V4,V1), P_codomain-{T}(V4,V5), P_codomain-{T}(V4,V3)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #226: exists( #21, #86 ), references = 4, size of lhs = 7:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V1), P_domain-{F}(V1,V0), P_b-{F}(V2), P_c-{F}(V3), P_compose-{F}(V2,V3,V4), P_codomain-{F}(V4,V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #276: exists( #20, #148 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V6), P_codomain-{T}(V4,V8)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #277: exists( #20, #153 ), references = 1, size of lhs = 8:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_compose-{F}(V0,V5,V5), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V8), P_codomain-{T}(V4,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #287: mergings( V0 == V6, V3 == V5, V4 == V6; #283 ), references = 2, size of lhs = 4:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V1), P_c-{F}(V2) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #289: exists( #20, #148 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V6), P_codomain-{T}(V4,V8)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #297: exists( #20, #148 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_compose-{F}(V0,V1,V3), P_c-{F}(V4), P_domain-{F}(V5,V6), P_domain-{F}(V7,V8) | P_codomain-{T}(V4,V2), P_codomain-{T}(V4,V6), P_codomain-{T}(V4,V8)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #308: exists( #21, #148 ), references = 7, size of lhs = 12:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_c-{F}(V3), P_codomain-{F}(V3,V4), V2 == V4, P_domain-{F}(V5,V6), P_codomain-{F}(V7,V8), V6 == V8, P_domain-{F}(V9,V10), P_codomain-{F}(V11,V12), V10 == V12 | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #313: mergings( V0 == V3, V3 == V2; #310 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_b-{F}(V0), P_a-{F}(V0), P_c-{F}(V1), P_codomain-{F}(V1,V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6) | P_domain-{T}(V0,V2), P_domain-{T}(V0,V4), P_domain-{T}(V0,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #321: mergings( V2 == V0, V1 == V0, V3 == V4, V4 == V6; #316 ), references = 1, size of lhs = 7:
% 1.37/1.55 there_exists-{F}(V0), P_codomain-{F}(V0,V0), P_c-{F}(V0), P_domain-{F}(V1,V0), P_a-{F}(V2), P_b-{F}(V2), P_domain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #336: exists( #19, #43 ), references = 1, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_codomain-{F}(V1,V2) | P_domain-{T}(V0,V2)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #338: exists( #21, #8 ), references = 1, size of lhs = 3:
% 1.37/1.55 P_compose-{F}(V0,V1,V2), P_compose-{F}(V3,V2,V4), P_compose-{F}(V3,V0,V5) | P_compose-{T}(V5,V1,V4)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #356: exists( #20, #308 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_c-{F}(V3), P_domain-{F}(V4,V5), P_domain-{F}(V6,V7) | P_codomain-{T}(V3,V2), P_codomain-{T}(V3,V5), P_codomain-{T}(V3,V7)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #365: exists( #21, #361 ), references = 4, size of lhs = 10:
% 1.37/1.55 there_exists-{F}(V0), there_exists-{F}(V1), P_domain-{F}(V2,V1), P_a-{F}(V3), P_domain-{F}(V3,V1), P_b-{F}(V4), P_domain-{F}(V4,V0), P_compose-{F}(V2,V4,V4), P_c-{F}(V5), P_codomain-{F}(V5,V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #373: mergings( V0 == V10, V10 == V14, V8 == V12, V1 == V11, V11 == V15, V2 == V5; #366 ), references = 3, size of lhs = 13:
% 1.37/1.55 there_exists-{F}(V0), P_domain-{F}(V1,V0), there_exists-{F}(V2), P_domain-{F}(V3,V2), P_domain-{F}(V4,V2), P_a-{F}(V5), P_domain-{F}(V5,V2), P_b-{F}(V6), P_compose-{F}(V3,V6,V6), P_domain-{F}(V6,V0), P_compose-{F}(V4,V6,V6), P_c-{F}(V7), P_domain-{F}(V8,V9) | P_codomain-{T}(V7,V9)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #390: exists( #19, #388 ), references = 1, size of lhs = 4:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #392: exists( #25, #389 ), references = 3, size of lhs = 3:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #408: exists( #19, #308 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V4,V5), P_codomain-{F}(V6,V7) | P_domain-{T}(V1,V3), P_domain-{T}(V1,V5), P_domain-{T}(V1,V7)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #419: mergings( V2 == V3; #417 ), references = 2, size of lhs = 5:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_compose-{F}(V1,V2,V1) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #426: mergings( V0 == V8, V8 == V9, V2 == V3, V3 == V5; #421 ), references = 1, size of lhs = 7:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V2), P_codomain-{F}(V3,V2), P_codomain-{F}(V4,V5) | P_domain-{T}(V1,V5)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #440: mergings( V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V10 == V15, V1 == V4, V4 == V5; #429 ), references = 1, size of lhs = 8:
% 1.37/1.55 P_c-{F}(V0), P_domain-{F}(V1,V0), P_compose-{F}(V1,V0,V0), P_compose-{F}(V2,V0,V0), P_domain-{F}(V2,V3), there_exists-{F}(V4), P_a-{F}(V4), P_b-{F}(V5) | P_codomain-{T}(V0,V3)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #464: exists( #21, #462 ), references = 1, size of lhs = 18:
% 1.37/1.55 P_b-{F}(V0), P_domain-{F}(V1,V0), P_a-{F}(V2), P_c-{F}(V3), P_codomain-{F}(V3,V4), V0 == V4, P_domain-{F}(V5,V6), P_codomain-{F}(V7,V8), V6 == V8, P_domain-{F}(V9,V10), P_compose-{F}(V1,V10,V11), P_compose-{F}(V9,V12,V11), P_domain-{F}(V13,V14), P_codomain-{F}(V15,V16), V14 == V16, P_domain-{F}(V17,V18), P_codomain-{F}(V19,V20), V18 == V20 | P_compose-{T}(V5,V7,V11)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #472: mergings( V6 == V7, V7 == V8; #469 ), references = 1, size of lhs = 10:
% 1.37/1.55 P_b-{F}(V0), P_domain-{F}(V1,V0), P_a-{F}(V2), P_c-{F}(V3), P_compose-{F}(V1,V4,V3), P_domain-{F}(V5,V4), P_compose-{F}(V5,V6,V3), P_domain-{F}(V7,V8), P_domain-{F}(V9,V10), P_domain-{F}(V11,V12) | P_codomain-{T}(V3,V0), P_codomain-{T}(V3,V8), P_codomain-{T}(V3,V3), P_codomain-{T}(V3,V10), P_codomain-{T}(V3,V12)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #492: mergings( V7 == V8; #490 ), references = 1, size of lhs = 7:
% 1.37/1.55 P_a-{F}(V0), there_exists-{F}(V0), P_b-{F}(V1), P_domain-{F}(V2,V1), P_compose-{F}(V3,V1,V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6) | P_domain-{T}(V0,V4), P_domain-{T}(V0,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #504: mergings( V6 == V7, V1 == V4, V4 == V7, V10 == V13; #499 ), references = 1, size of lhs = 12:
% 1.37/1.55 P_b-{F}(V0), P_domain-{F}(V1,V0), P_compose-{F}(V1,V0,V2), P_domain-{F}(V2,V0), P_domain-{F}(V3,V0), P_domain-{F}(V4,V0), P_domain-{F}(V5,V0), there_exists-{F}(V6), P_a-{F}(V6), P_domain-{F}(V7,V0), P_domain-{F}(V8,V0), P_c-{F}(V9) | P_domain-{T}(V6,V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #541: exists( #19, #308 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V4,V5), P_codomain-{F}(V6,V7) | P_domain-{T}(V1,V3), P_domain-{T}(V1,V5), P_domain-{T}(V1,V7)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #561: exists( #19, #559 ), references = 2, size of lhs = 8:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_domain-{F}(V1,V2), P_domain-{F}(V3,V2), P_c-{F}(V4), P_codomain-{F}(V4,V2), P_compose-{F}(V3,V5,V1) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #569: mergings( V0 == V8, V8 == V10, V2 == V9, V9 == V11, V3 == V5; #563 ), references = 1, size of lhs = 7:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V4,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V1,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #576: mergings( V2 == V3, V3 == V4, V4 == V5; #572 ), references = 1, size of lhs = 4:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #581: mergings( V1 == V2, V2 == V3, V3 == V4; #577 ), references = 1, size of lhs = 3:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #586: mergings( V1 == V2, V2 == V3, V3 == V4; #582 ), references = 6, size of lhs = 2:
% 1.37/1.55 there_exists-{F}(V0), P_a-{F}(V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #590: mergings( V2 == V1; #588 ), references = 4, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), #-{F} V1, V1 == V0 | P_f1-{T}(V1,V0,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #609: exists( #19, #308 ), references = 1, size of lhs = 6:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_codomain-{F}(V2,V3), P_codomain-{F}(V4,V5), P_codomain-{F}(V6,V7) | P_domain-{T}(V1,V3), P_domain-{T}(V1,V5), P_domain-{T}(V1,V7)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #623: mergings( V0 == V1; #613 ), references = 5, size of lhs = 8:
% 1.37/1.55 P_b-{F}(V0), P_a-{F}(V0), P_c-{F}(V1), P_codomain-{F}(V1,V2), there_exists-{F}(V2), there_exists-{F}(V3), P_codomain-{F}(V4,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V0,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #625: mergings( V0 == V1; #614 ), references = 1, size of lhs = 8:
% 1.37/1.55 P_c-{F}(V0), P_codomain-{F}(V0,V1), there_exists-{F}(V1), there_exists-{F}(V2), P_codomain-{F}(V3,V2), P_a-{F}(V4), P_b-{F}(V4), P_codomain-{F}(V5,V6) | P_domain-{T}(V4,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #627: mergings( V0 == V1; #616 ), references = 1, size of lhs = 8:
% 1.37/1.55 P_c-{F}(V0), P_codomain-{F}(V0,V1), there_exists-{F}(V1), P_b-{F}(V2), P_a-{F}(V2), there_exists-{F}(V3), P_codomain-{F}(V4,V3), P_codomain-{F}(V5,V6) | P_domain-{T}(V2,V6)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #640: mergings( V3 == V5; #638 ), references = 1, size of lhs = 9:
% 1.37/1.55 there_exists-{F}(V0), there_exists-{F}(V1), P_c-{F}(V1), P_b-{F}(V2), P_a-{F}(V2), P_compose-{F}(V1,V3,V0), P_codomain-{F}(V4,V5), P_codomain-{F}(V6,V7), P_codomain-{F}(V8,V9) | P_codomain-{T}(V1,V5), P_codomain-{T}(V1,V7), P_codomain-{T}(V1,V9)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #659: mergings( V2 == V4, V4 == V11, V11 == V16; #647 ), references = 1, size of lhs = 19:
% 1.37/1.55 there_exists-{F}(V0), there_exists-{F}(V1), P_c-{F}(V1), P_compose-{F}(V1,V2,V0), there_exists-{F}(V3), P_codomain-{F}(V4,V3), there_exists-{F}(V5), P_codomain-{F}(V6,V5), there_exists-{F}(V7), P_codomain-{F}(V8,V7), P_b-{F}(V9), P_a-{F}(V9), there_exists-{F}(V10), P_codomain-{F}(V11,V10), there_exists-{F}(V12), P_codomain-{F}(V13,V12), there_exists-{F}(V14), P_codomain-{F}(V15,V14), P_codomain-{F}(V16,V17) | P_codomain-{T}(V1,V17)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #663: mergings( V2 == V4, V4 == V11, V11 == V20; #648 ), references = 1, size of lhs = 19:
% 1.37/1.55 there_exists-{F}(V0), there_exists-{F}(V1), P_c-{F}(V1), P_compose-{F}(V1,V2,V0), there_exists-{F}(V3), P_codomain-{F}(V4,V3), there_exists-{F}(V5), P_codomain-{F}(V6,V5), there_exists-{F}(V7), P_codomain-{F}(V8,V7), there_exists-{F}(V9), P_codomain-{F}(V10,V9), there_exists-{F}(V11), P_codomain-{F}(V12,V11), there_exists-{F}(V13), P_codomain-{F}(V14,V13), P_a-{F}(V15), P_b-{F}(V15), P_codomain-{F}(V16,V17) | P_codomain-{T}(V1,V17)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #667: mergings( V2 == V4, V4 == V15, V15 == V16; #650 ), references = 1, size of lhs = 19:
% 1.37/1.55 there_exists-{F}(V0), there_exists-{F}(V1), P_c-{F}(V1), P_compose-{F}(V1,V2,V0), there_exists-{F}(V3), P_codomain-{F}(V4,V3), there_exists-{F}(V5), P_codomain-{F}(V6,V5), there_exists-{F}(V7), P_codomain-{F}(V8,V7), P_b-{F}(V9), P_a-{F}(V9), there_exists-{F}(V10), P_codomain-{F}(V11,V10), there_exists-{F}(V12), P_codomain-{F}(V13,V12), there_exists-{F}(V14), P_codomain-{F}(V15,V14), P_codomain-{F}(V16,V17) | P_codomain-{T}(V1,V17)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #697: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #689 ), references = 2, size of lhs = 4:
% 1.37/1.55 there_exists-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_a-{F}(V1) | P_domain-{T}(V0,V1)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #728: mergings( V1 == V2; #724 ), references = 1, size of lhs = 2:
% 1.37/1.55 P_b-{F}(V0), P_a-{F}(V0) | P_c-{T}(V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #749: mergings( V2 == V0; #745 ), references = 1, size of lhs = 1:
% 1.37/1.55 P_a-{F}(V0) | P_domain-{T}(V0,V0)
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #753: exists( #25, #287 ), references = 2, size of lhs = 3:
% 1.37/1.55 P_a-{F}(V0), P_b-{F}(V1), P_compose-{F}(V0,V1,V1) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #758: mergings( V1 == V2; #756 ), references = 1, size of lhs = 2:
% 1.37/1.55 P_a-{F}(V0), P_domain-{F}(V0,V0) | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 #761: exists( #23, #759 ), references = 1, size of lhs = 0:
% 1.37/1.55 FALSE | FALSE
% 1.37/1.55 (used 0 times, uses = {})
% 1.37/1.55
% 1.37/1.55 number of learnt formulas = 74
% 1.37/1.55
% 1.37/1.55
% 1.37/1.55 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.37/1.55
% 1.37/1.55 randbase = 1
%------------------------------------------------------------------------------