TSTP Solution File: CAT002-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 05:58:46 EDT 2022
% Result : Unsatisfiable 2.57s 2.80s
% Output : Refutation 2.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 06:40:58 EDT 2022
% 0.11/0.33 % CPUTime :
% 2.57/2.80 GeoParameters:
% 2.57/2.80
% 2.57/2.80 tptp_input = 1
% 2.57/2.80 tptp_output = 0
% 2.57/2.80 nonempty = 1
% 2.57/2.80 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/2.80 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.57/2.80
% 2.57/2.80
% 2.57/2.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/2.80 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/2.80
% 2.57/2.80 RuleSystem INPUT:
% 2.57/2.80
% 2.57/2.80 Initial Rules:
% 2.57/2.80 #0: input, references = 19, size of lhs = 2:
% 2.57/2.80 P_compose-{F}(V0,V1,V2), defined-{F}(V0,V1) | product-{T}(V0,V1,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #1: input, references = 23, size of lhs = 1:
% 2.57/2.80 product-{F}(V0,V1,V2) | defined-{T}(V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #2: input, references = 65, size of lhs = 2:
% 2.57/2.80 defined-{F}(V1,V0), product-{F}(V3,V2,V1) | defined-{T}(V2,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #3: input, references = 8, size of lhs = 3:
% 2.57/2.80 defined-{F}(V1,V0), product-{F}(V3,V0,V2), product-{F}(V4,V3,V1) | defined-{T}(V4,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #4: input, references = 19, size of lhs = 3:
% 2.57/2.80 product-{F}(V1,V0,V2), product-{F}(V4,V0,V3), product-{F}(V5,V4,V1) | product-{T}(V5,V3,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #5: input, references = 33, size of lhs = 2:
% 2.57/2.80 product-{F}(V0,V2,V1), defined-{F}(V3,V1) | defined-{T}(V3,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #6: input, references = 10, size of lhs = 3:
% 2.57/2.80 product-{F}(V3,V0,V2), product-{F}(V4,V3,V1), defined-{F}(V4,V2) | defined-{T}(V1,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #7: input, references = 7, size of lhs = 3:
% 2.57/2.80 product-{F}(V4,V0,V3), product-{F}(V5,V3,V2), product-{F}(V5,V4,V1) | product-{T}(V1,V0,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #8: input, references = 5, size of lhs = 3:
% 2.57/2.80 identity_map-{F}(V0), defined-{F}(V0,V1), defined-{F}(V2,V0) | defined-{T}(V2,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #9: input, references = 15, size of lhs = 1:
% 2.57/2.80 P_domain-{F}(V0,V1) | identity_map-{T}(V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #10: input, references = 12, size of lhs = 1:
% 2.57/2.80 P_codomain-{F}(V0,V1) | identity_map-{T}(V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #11: input, references = 12, size of lhs = 1:
% 2.57/2.80 P_domain-{F}(V0,V1) | defined-{T}(V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #12: input, references = 12, size of lhs = 1:
% 2.57/2.80 P_codomain-{F}(V0,V1) | defined-{T}(V1,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #13: input, references = 10, size of lhs = 1:
% 2.57/2.80 P_domain-{F}(V0,V1) | product-{T}(V0,V1,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #14: input, references = 10, size of lhs = 1:
% 2.57/2.80 P_codomain-{F}(V0,V1) | product-{T}(V1,V0,V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #15: input, references = 40, size of lhs = 2:
% 2.57/2.80 identity_map-{F}(V0), defined-{F}(V0,V1) | product-{T}(V0,V1,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #16: input, references = 29, size of lhs = 2:
% 2.57/2.80 identity_map-{F}(V0), defined-{F}(V1,V0) | product-{T}(V1,V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #17: input, references = 7, size of lhs = 3:
% 2.57/2.80 product-{F}(V3,V2,V0), product-{F}(V3,V2,V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #18: input, references = 8, size of lhs = 4:
% 2.57/2.80 P_a-{F}(V0), product-{F}(V0,V1,V2), product-{F}(V0,V3,V2), V3 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #19: input, references = 8, size of lhs = 5:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), product-{F}(V1,V2,V3), product-{F}(V1,V4,V3), V4 == V2 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #20: input, references = 5, size of lhs = 3:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | product-{T}(V0,V1,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #21: input, references = 10, size of lhs = 5:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_h-{F}(V3), P_d-{F}(V4) | product-{T}(V2,V3,V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #22: input, references = 19, size of lhs = 6:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_h-{F}(V3), P_d-{F}(V4), P_g-{F}(V5) | product-{T}(V2,V5,V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #23: input, references = 9, size of lhs = 6:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_h-{F}(V5), P_d-{F}(V4), P_g-{F}(V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #24: input, references = 8, size of lhs = 2:
% 2.57/2.80 #-{F} V0, #-{F} V1 | EXISTS V2: P_compose-{T}(V0,V1,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #25: input, references = 9, size of lhs = 1:
% 2.57/2.80 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #26: input, references = 7, size of lhs = 1:
% 2.57/2.80 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #27: input, references = 4, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #28: input, references = 4, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #29: input, references = 5, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #30: input, references = 7, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_h-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #31: input, references = 10, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_d-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #32: input, references = 10, size of lhs = 0:
% 2.57/2.80 FALSE | EXISTS V0: P_g-{T}(V0)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 number of initial rules = 33
% 2.57/2.80
% 2.57/2.80 Simplifiers:
% 2.57/2.80 #33: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_compose-{F}(V0,V1,V2), P_compose-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #34: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #35: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #36: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #37: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #38: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #39: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #40: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #41: unsound, references = 3, size of lhs = 3:
% 2.57/2.80 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 number of simplifiers = 9
% 2.57/2.80
% 2.57/2.80 Learnt:
% 2.57/2.80 #44: exists( #31, #42 ), references = 1, size of lhs = 5:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_h-{F}(V3), product-{F}(V2,V3,V4) | P_d-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #50: mergings( V1 == V3; #47 ), references = 2, size of lhs = 6:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), product-{F}(V1,V4,V3) | P_g-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #53: mergings( V1 == V6, V2 == V3; #48 ), references = 2, size of lhs = 6:
% 2.57/2.80 P_c-{F}(V0), P_b-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), product-{F}(V0,V4,V2) | P_g-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #65: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V7, V6 == V8, V5 == V9; #58 ), references = 1, size of lhs = 4:
% 2.57/2.80 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1), P_h-{F}(V2) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #72: mergings( V1 == V4, V4 == V5, V2 == V3, V3 == V6, V5 == V7; #66 ), references = 1, size of lhs = 3:
% 2.57/2.80 P_a-{F}(V0), P_c-{F}(V0), P_b-{F}(V1) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #77: exists( #24, #75 ), references = 6, size of lhs = 2:
% 2.57/2.80 defined-{F}(V0,V1), product-{F}(V0,V1,V2) | P_compose-{T}(V0,V1,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #103: exists( #24, #99 ), references = 6, size of lhs = 7:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V1,V2), product-{F}(V3,V4,V0), product-{F}(V4,V1,V5), product-{F}(V5,V2,V6), product-{F}(V3,V6,V7), product-{F}(V0,V8,V7) | P_compose-{T}(V1,V2,V8)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #104: exists( #24, #100 ), references = 1, size of lhs = 8:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V2,V3), product-{F}(V4,V5,V1), product-{F}(V5,V2,V6), product-{F}(V6,V3,V7), product-{F}(V4,V7,V8), product-{F}(V1,V9,V8) | P_compose-{T}(V2,V3,V9)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #119: exists( #25, #117 ), references = 1, size of lhs = 18:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V1,V2), product-{F}(V1,V2,V0), defined-{F}(V2,V3), defined-{F}(V2,V4), product-{F}(V5,V6,V3), product-{F}(V4,V5,V7), defined-{F}(V7,V8), product-{F}(V5,V8,V9), V2 == V9, product-{F}(V10,V11,V0), product-{F}(V11,V2,V12), product-{F}(V12,V4,V13), product-{F}(V10,V13,V0), product-{F}(V14,V15,V0), product-{F}(V15,V7,V16), product-{F}(V16,V8,V17), product-{F}(V14,V17,V0) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #126: mergings( V1 == V5; #124 ), references = 1, size of lhs = 18:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V3), defined-{F}(V3,V4), product-{F}(V5,V1,V3), product-{F}(V3,V4,V6), product-{F}(V5,V6,V3), product-{F}(V4,V7,V8), defined-{F}(V8,V9), product-{F}(V7,V9,V10), product-{F}(V7,V11,V12), product-{F}(V12,V13,V4), product-{F}(V14,V15,V3), product-{F}(V15,V8,V16), product-{F}(V16,V9,V17), product-{F}(V14,V17,V3) | P_g-{T}(V10)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #158: exists( #26, #154 ), references = 1, size of lhs = 4:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V2,V0), product-{F}(V1,V3,V4) | P_codomain-{T}(V4,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #159: exists( #26, #155 ), references = 1, size of lhs = 5:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V1,V3,V1), product-{F}(V2,V4,V5) | P_codomain-{T}(V5,V3)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #165: exists( #25, #160 ), references = 1, size of lhs = 2:
% 2.57/2.80 P_a-{F}(V0), product-{F}(V0,V1,V0) | P_domain-{T}(V0,V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #166: exists( #25, #161 ), references = 1, size of lhs = 3:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), product-{F}(V1,V2,V1) | P_domain-{T}(V1,V2)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #191: exists( #24, #189 ), references = 2, size of lhs = 22:
% 2.57/2.80 identity_map-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V3), product-{F}(V4,V5,V1), product-{F}(V1,V6,V7), product-{F}(V4,V8,V7), product-{F}(V6,V9,V10), product-{F}(V11,V9,V12), product-{F}(V13,V11,V8), product-{F}(V11,V14,V15), defined-{F}(V15,V16), product-{F}(V0,V15,V17), defined-{F}(V17,V16), defined-{F}(V15,V18), product-{F}(V16,V3,V18), product-{F}(V5,V15,V19), product-{F}(V19,V16,V13), product-{F}(V20,V12,V21), product-{F}(V22,V20,V16), product-{F}(V15,V22,V23), product-{F}(V23,V21,V24), V24 == V10 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #228: mergings( V3 == V4; #224 ), references = 4, size of lhs = 14:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), product-{F}(V0,V3,V4), product-{F}(V4,V5,V6), defined-{F}(V6,V7), product-{F}(V5,V7,V8), product-{F}(V3,V8,V9), V9 == V1, product-{F}(V2,V9,V10), product-{F}(V11,V12,V0), product-{F}(V12,V0,V13), product-{F}(V13,V1,V14), product-{F}(V11,V14,V10) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #230: mergings( V3 == V4; #225 ), references = 5, size of lhs = 15:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V1,V4,V5), product-{F}(V5,V6,V7), defined-{F}(V7,V8), product-{F}(V6,V8,V9), product-{F}(V4,V9,V10), V10 == V2, product-{F}(V3,V10,V11), product-{F}(V12,V13,V0), product-{F}(V13,V1,V14), product-{F}(V14,V2,V15), product-{F}(V12,V15,V11) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #232: mergings( V5 == V7; #226 ), references = 2, size of lhs = 37:
% 2.57/2.80 identity_map-{F}(V0), identity_map-{F}(V1), identity_map-{F}(V2), P_a-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V0,V5,V3), product-{F}(V1,V6,V7), product-{F}(V3,V8,V9), product-{F}(V9,V10,V11), defined-{F}(V11,V12), product-{F}(V0,V11,V13), defined-{F}(V13,V12), defined-{F}(V11,V14), product-{F}(V12,V7,V14), product-{F}(V10,V12,V15), product-{F}(V8,V15,V16), product-{F}(V4,V16,V17), product-{F}(V18,V19,V3), product-{F}(V18,V20,V17), product-{F}(V2,V21,V22), product-{F}(V16,V23,V24), product-{F}(V1,V23,V25), product-{F}(V1,V26,V27), defined-{F}(V27,V28), product-{F}(V2,V27,V29), defined-{F}(V29,V28), defined-{F}(V27,V30), product-{F}(V28,V22,V30), product-{F}(V5,V27,V31), defined-{F}(V31,V28), product-{F}(V19,V31,V32), product-{F}(V32,V28,V20), product-{F}(V33,V25,V34), product-{F}(V35,V33,V28), product-{F}(V27,V35,V36), product-{F}(V36,V34,V37), V37 == V24 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #240: mergings( V3 == V4; #236 ), references = 2, size of lhs = 15:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), defined-{F}(V3,V4), P_compose-{F}(V3,V4,V5), V5 == V1, product-{F}(V0,V3,V6), product-{F}(V2,V5,V7), product-{F}(V6,V8,V9), defined-{F}(V9,V10), product-{F}(V8,V10,V4), product-{F}(V11,V12,V0), product-{F}(V12,V0,V13), product-{F}(V13,V1,V14), product-{F}(V11,V14,V7) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #242: mergings( V3 == V4; #237 ), references = 2, size of lhs = 16:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), defined-{F}(V4,V5), P_compose-{F}(V4,V5,V6), V6 == V2, product-{F}(V1,V4,V7), product-{F}(V3,V6,V8), product-{F}(V7,V9,V10), defined-{F}(V10,V11), product-{F}(V9,V11,V5), product-{F}(V12,V13,V0), product-{F}(V13,V1,V14), product-{F}(V14,V2,V15), product-{F}(V12,V15,V8) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #244: mergings( V5 == V7; #238 ), references = 1, size of lhs = 38:
% 2.57/2.80 identity_map-{F}(V0), identity_map-{F}(V1), identity_map-{F}(V2), P_a-{F}(V3), product-{F}(V3,V3,V4), product-{F}(V0,V5,V3), defined-{F}(V6,V7), P_compose-{F}(V6,V7,V8), product-{F}(V3,V6,V9), product-{F}(V4,V8,V10), product-{F}(V1,V11,V12), product-{F}(V9,V13,V14), defined-{F}(V14,V15), product-{F}(V13,V15,V7), product-{F}(V0,V14,V16), defined-{F}(V16,V15), defined-{F}(V14,V17), product-{F}(V15,V12,V17), product-{F}(V18,V19,V3), product-{F}(V18,V20,V10), product-{F}(V2,V21,V22), product-{F}(V8,V23,V24), product-{F}(V1,V23,V25), product-{F}(V1,V26,V27), defined-{F}(V27,V28), product-{F}(V2,V27,V29), defined-{F}(V29,V28), defined-{F}(V27,V30), product-{F}(V28,V22,V30), product-{F}(V5,V27,V31), defined-{F}(V31,V28), product-{F}(V19,V31,V32), product-{F}(V32,V28,V20), product-{F}(V33,V25,V34), product-{F}(V35,V33,V28), product-{F}(V27,V35,V36), product-{F}(V36,V34,V37), V37 == V24 | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #291: mergings( V2 == V3; #287 ), references = 2, size of lhs = 15:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), product-{F}(V0,V0,V3), product-{F}(V3,V1,V4), defined-{F}(V5,V0), P_compose-{F}(V5,V0,V6), V6 == V1, product-{F}(V2,V6,V4), product-{F}(V0,V5,V7), defined-{F}(V7,V0), defined-{F}(V7,V8), defined-{F}(V8,V9), product-{F}(V8,V9,V4), product-{F}(V10,V7,V11) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #293: mergings( V2 == V3; #288 ), references = 2, size of lhs = 16:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), defined-{F}(V6,V0), P_compose-{F}(V6,V0,V7), V7 == V2, product-{F}(V3,V7,V5), product-{F}(V1,V6,V8), defined-{F}(V8,V0), defined-{F}(V8,V9), defined-{F}(V9,V10), product-{F}(V9,V10,V5), product-{F}(V11,V8,V12) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #294: exists( #25, #286 ), references = 2, size of lhs = 22:
% 2.57/2.80 P_a-{F}(V0), product-{F}(V0,V0,V1), defined-{F}(V0,V2), product-{F}(V0,V0,V3), product-{F}(V3,V2,V4), product-{F}(V5,V2,V4), defined-{F}(V6,V0), P_compose-{F}(V6,V0,V7), V2 == V7, product-{F}(V1,V7,V4), product-{F}(V0,V6,V7), defined-{F}(V7,V7), defined-{F}(V7,V0), defined-{F}(V7,V8), product-{F}(V0,V0,V8), defined-{F}(V7,V9), product-{F}(V7,V9,V4), product-{F}(V10,V0,V7), product-{F}(V11,V5,V12), product-{F}(V13,V7,V12), product-{F}(V14,V11,V12), product-{F}(V15,V2,V12) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #309: mergings( V1 == V6, V6 == V7; #304 ), references = 1, size of lhs = 15:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), product-{F}(V4,V4,V1), product-{F}(V4,V4,V5), defined-{F}(V6,V4), P_compose-{F}(V6,V4,V7), product-{F}(V5,V7,V3), product-{F}(V4,V6,V8), defined-{F}(V8,V4), defined-{F}(V8,V1), product-{F}(V9,V4,V1), product-{F}(V10,V8,V11) | P_g-{T}(V7)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #313: mergings( V1 == V6, V6 == V7, V2 == V8; #305 ), references = 1, size of lhs = 15:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), product-{F}(V3,V4,V0), product-{F}(V3,V4,V5), defined-{F}(V6,V3), P_compose-{F}(V6,V3,V7), product-{F}(V5,V7,V2), product-{F}(V4,V6,V8), defined-{F}(V8,V3), defined-{F}(V8,V0), product-{F}(V9,V4,V0), product-{F}(V10,V8,V11) | P_g-{T}(V7)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #315: mergings( V1 == V6; #306 ), references = 1, size of lhs = 20:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), defined-{F}(V1,V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), product-{F}(V4,V4,V1), defined-{F}(V1,V4), product-{F}(V4,V4,V5), product-{F}(V5,V1,V3), defined-{F}(V6,V4), P_compose-{F}(V6,V4,V1), product-{F}(V4,V6,V1), defined-{F}(V1,V7), product-{F}(V4,V4,V7), product-{F}(V8,V4,V1), product-{F}(V9,V4,V1), product-{F}(V10,V1,V3), product-{F}(V11,V1,V3), product-{F}(V12,V10,V3) | P_g-{T}(V1)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #329: mergings( V1 == V3, V3 == V7, V7 == V8, V8 == V12, V2 == V4, V4 == V13, V5 == V14, V14 == V6; #320 ), references = 1, size of lhs = 10:
% 2.57/2.80 P_h-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), product-{F}(V1,V1,V0), defined-{F}(V2,V1), P_compose-{F}(V2,V1,V0), product-{F}(V1,V2,V0), product-{F}(V1,V3,V0), product-{F}(V4,V1,V0), P_b-{F}(V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #398: exists( #25, #392 ), references = 1, size of lhs = 15:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V0), defined-{F}(V0,V1), V0 == V1, product-{F}(V0,V0,V2), product-{F}(V0,V0,V3), product-{F}(V3,V1,V4), product-{F}(V2,V0,V4), defined-{F}(V0,V5), defined-{F}(V5,V6), product-{F}(V5,V6,V4), defined-{F}(V7,V0), product-{F}(V8,V0,V7), product-{F}(V9,V7,V10), product-{F}(V11,V0,V12) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #399: exists( #25, #393 ), references = 1, size of lhs = 16:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V0), defined-{F}(V1,V2), V0 == V2, product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), product-{F}(V3,V0,V5), defined-{F}(V1,V6), defined-{F}(V6,V7), product-{F}(V6,V7,V5), defined-{F}(V8,V0), product-{F}(V9,V1,V8), product-{F}(V10,V8,V11), product-{F}(V12,V1,V13) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #400: exists( #25, #394 ), references = 1, size of lhs = 20:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V0), product-{F}(V0,V0,V1), defined-{F}(V0,V2), V2 == V0, product-{F}(V0,V0,V3), product-{F}(V3,V2,V4), product-{F}(V1,V0,V4), product-{F}(V5,V2,V4), defined-{F}(V0,V6), product-{F}(V0,V0,V6), defined-{F}(V0,V7), product-{F}(V0,V7,V4), defined-{F}(V8,V0), product-{F}(V9,V0,V8), product-{F}(V10,V8,V11), product-{F}(V12,V5,V13), product-{F}(V14,V0,V13), product-{F}(V15,V12,V13), product-{F}(V16,V2,V13) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #414: mergings( V1 == V6; #410 ), references = 1, size of lhs = 17:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), defined-{F}(V4,V4), product-{F}(V4,V4,V1), product-{F}(V4,V4,V5), product-{F}(V5,V4,V3), defined-{F}(V4,V6), defined-{F}(V6,V7), product-{F}(V6,V7,V3), product-{F}(V8,V4,V1), defined-{F}(V9,V4), product-{F}(V10,V4,V9), product-{F}(V11,V9,V12), product-{F}(V13,V4,V14) | P_g-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #417: mergings( V1 == V6, V2 == V7; #411 ), references = 1, size of lhs = 17:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), defined-{F}(V4,V3), product-{F}(V3,V4,V0), product-{F}(V3,V4,V5), product-{F}(V5,V3,V2), defined-{F}(V4,V6), defined-{F}(V6,V7), product-{F}(V6,V7,V2), product-{F}(V8,V4,V0), defined-{F}(V9,V3), product-{F}(V10,V4,V9), product-{F}(V11,V9,V12), product-{F}(V13,V4,V14) | P_g-{T}(V3)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #419: mergings( V1 == V6; #412 ), references = 1, size of lhs = 20:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), defined-{F}(V4,V4), product-{F}(V4,V4,V1), product-{F}(V4,V4,V5), product-{F}(V5,V4,V3), defined-{F}(V4,V6), product-{F}(V4,V4,V6), defined-{F}(V4,V7), product-{F}(V4,V7,V3), product-{F}(V8,V4,V1), product-{F}(V9,V1,V3), product-{F}(V10,V4,V3), product-{F}(V11,V9,V3), defined-{F}(V12,V4), product-{F}(V13,V4,V12), product-{F}(V14,V12,V15) | P_g-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #434: mergings( V1 == V4, V4 == V8, V8 == V11, V2 == V5, V5 == V12, V3 == V6, V6 == V13, V7 == V11; #425 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_h-{F}(V0), defined-{F}(V0,V0), P_a-{F}(V0), product-{F}(V0,V0,V1), P_c-{F}(V1), defined-{F}(V0,V2), product-{F}(V3,V0,V1), P_b-{F}(V4), product-{F}(V5,V0,V1), product-{F}(V6,V0,V1), product-{F}(V2,V6,V1), product-{F}(V7,V0,V8) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #495: exists( #25, #489 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), product-{F}(V0,V0,V3), product-{F}(V3,V1,V0), defined-{F}(V0,V4), V4 == V1, product-{F}(V2,V4,V0), defined-{F}(V5,V4), defined-{F}(V5,V0), product-{F}(V6,V5,V0), defined-{F}(V6,V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #496: exists( #25, #490 ), references = 1, size of lhs = 13:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V0), defined-{F}(V1,V5), V5 == V2, product-{F}(V3,V5,V0), defined-{F}(V6,V5), defined-{F}(V6,V0), product-{F}(V7,V6,V1), defined-{F}(V7,V6) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #497: exists( #25, #491 ), references = 1, size of lhs = 14:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), product-{F}(V2,V1,V0), defined-{F}(V0,V3), V3 == V1, defined-{F}(V3,V3), defined-{F}(V3,V1), defined-{F}(V3,V0), product-{F}(V0,V0,V4), product-{F}(V4,V3,V0), product-{F}(V5,V1,V0), product-{F}(V6,V3,V0), defined-{F}(V6,V3) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #518: mergings( V1 == V5; #514 ), references = 1, size of lhs = 11:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V3), product-{F}(V3,V3,V1), defined-{F}(V3,V3), defined-{F}(V3,V4), product-{F}(V3,V3,V5), product-{F}(V5,V4,V3), product-{F}(V6,V3,V1) | P_g-{T}(V4)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #521: mergings( V1 == V5, V2 == V5; #515 ), references = 1, size of lhs = 11:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V2), P_b-{F}(V2), product-{F}(V2,V2,V0), defined-{F}(V2,V2), defined-{F}(V2,V3), product-{F}(V2,V2,V4), product-{F}(V4,V3,V2), product-{F}(V5,V2,V0) | P_g-{T}(V3)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #523: mergings( V1 == V5; #516 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V3), product-{F}(V3,V3,V1), defined-{F}(V3,V3), product-{F}(V3,V3,V4), defined-{F}(V3,V5), product-{F}(V4,V5,V3), product-{F}(V6,V5,V3), product-{F}(V7,V3,V1) | P_g-{T}(V5)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #617: exists( #26, #613 ), references = 1, size of lhs = 10:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), defined-{F}(V0,V3), V3 == V1, product-{F}(V2,V3,V3), product-{F}(V0,V0,V4), product-{F}(V4,V1,V3), product-{F}(V0,V5,V6), product-{F}(V6,V7,V3) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #618: exists( #26, #611 ), references = 1, size of lhs = 10:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), defined-{F}(V0,V3), V3 == V1, product-{F}(V2,V3,V3), product-{F}(V0,V0,V4), product-{F}(V4,V1,V3), product-{F}(V0,V5,V6), product-{F}(V6,V7,V3) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #619: exists( #26, #612 ), references = 1, size of lhs = 11:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), defined-{F}(V1,V4), V4 == V2, product-{F}(V3,V4,V4), product-{F}(V0,V1,V5), product-{F}(V5,V2,V4), product-{F}(V0,V6,V7), product-{F}(V7,V8,V4) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #730: exists( #26, #726 ), references = 1, size of lhs = 11:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V0), defined-{F}(V0,V1), product-{F}(V0,V0,V2), defined-{F}(V0,V3), V3 == V1, product-{F}(V2,V3,V4), product-{F}(V0,V0,V5), product-{F}(V5,V1,V4), product-{F}(V0,V6,V7), product-{F}(V7,V8,V4) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #731: exists( #26, #727 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V0), defined-{F}(V1,V2), product-{F}(V0,V1,V3), defined-{F}(V1,V4), V4 == V2, product-{F}(V3,V4,V5), product-{F}(V0,V1,V6), product-{F}(V6,V2,V5), product-{F}(V0,V7,V8), product-{F}(V8,V9,V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #741: mergings( V1 == V6; #738 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_b-{F}(V0), P_c-{F}(V1), P_h-{F}(V2), P_d-{F}(V3), P_a-{F}(V4), defined-{F}(V4,V4), product-{F}(V4,V4,V1), defined-{F}(V4,V5), product-{F}(V4,V4,V6), product-{F}(V6,V5,V3), product-{F}(V7,V4,V1), product-{F}(V4,V8,V1) | P_g-{T}(V5)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #744: mergings( V1 == V6, V2 == V7; #739 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), defined-{F}(V4,V3), product-{F}(V3,V4,V0), defined-{F}(V4,V5), product-{F}(V3,V4,V6), product-{F}(V6,V5,V2), product-{F}(V7,V4,V0), product-{F}(V3,V8,V0) | P_g-{T}(V5)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #758: mergings( V1 == V4, V4 == V8, V8 == V12, V2 == V5, V5 == V13, V3 == V6, V6 == V14, V7 == V9; #749 ), references = 1, size of lhs = 9:
% 2.57/2.80 P_h-{F}(V0), P_a-{F}(V1), defined-{F}(V1,V1), product-{F}(V1,V1,V2), P_c-{F}(V2), product-{F}(V3,V1,V2), product-{F}(V1,V4,V2), P_b-{F}(V5), product-{F}(V6,V1,V2) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #767: mergings( V1 == V4, V4 == V7, V7 == V10, V2 == V5, V5 == V11, V3 == V6, V6 == V12; #759 ), references = 1, size of lhs = 8:
% 2.57/2.80 P_a-{F}(V0), defined-{F}(V0,V0), product-{F}(V0,V0,V1), P_c-{F}(V1), product-{F}(V2,V0,V1), product-{F}(V0,V3,V1), P_b-{F}(V4), product-{F}(V5,V0,V1) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #777: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V3, V3 == V5, V5 == V7; #770 ), references = 1, size of lhs = 2:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V0) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #787: mergings( V1 == V5, V5 == V6, V2 == V3, V3 == V7, V7 == V8, V4 == V9; #780 ), references = 1, size of lhs = 4:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_h-{F}(V2) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #794: mergings( V1 == V4, V4 == V5, V2 == V3, V3 == V6, V6 == V7; #788 ), references = 1, size of lhs = 3:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V1) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #837: exists( #26, #833 ), references = 1, size of lhs = 15:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), product-{F}(V3,V6,V5), V6 == V2, product-{F}(V0,V7,V8), product-{F}(V8,V9,V5), product-{F}(V1,V10,V11), product-{F}(V10,V12,V6), product-{F}(V11,V13,V14), defined-{F}(V14,V15), product-{F}(V13,V15,V12) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #838: exists( #26, #834 ), references = 1, size of lhs = 16:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), product-{F}(V3,V6,V5), V6 == V2, product-{F}(V0,V7,V8), product-{F}(V8,V9,V5), defined-{F}(V10,V11), P_compose-{F}(V10,V11,V6), product-{F}(V1,V10,V12), product-{F}(V12,V13,V14), defined-{F}(V14,V15), product-{F}(V13,V15,V11) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #854: exists( #25, #850 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), defined-{F}(V1,V6), V6 == V2, product-{F}(V3,V6,V5), product-{F}(V7,V1,V8), product-{F}(V0,V9,V10), product-{F}(V10,V11,V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #855: exists( #25, #851 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1,V2), product-{F}(V0,V1,V3), product-{F}(V0,V1,V4), product-{F}(V4,V2,V5), defined-{F}(V1,V6), V6 == V2, product-{F}(V3,V6,V5), product-{F}(V7,V1,V8), product-{F}(V0,V9,V10), product-{F}(V10,V11,V5) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #866: mergings( V1 == V6, V2 == V7; #862 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), product-{F}(V3,V4,V0), product-{F}(V3,V4,V5), defined-{F}(V4,V6), product-{F}(V5,V6,V2), product-{F}(V7,V4,V0), product-{F}(V3,V8,V0), product-{F}(V9,V4,V10) | P_g-{T}(V6)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #869: mergings( V1 == V6, V2 == V7; #863 ), references = 1, size of lhs = 12:
% 2.57/2.80 P_c-{F}(V0), P_h-{F}(V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), product-{F}(V3,V4,V0), product-{F}(V3,V4,V5), defined-{F}(V4,V6), product-{F}(V5,V6,V2), product-{F}(V7,V4,V0), product-{F}(V3,V8,V0), product-{F}(V9,V4,V10) | P_g-{T}(V6)
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #884: mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V3 == V6, V6 == V15, V7 == V10; #874 ), references = 1, size of lhs = 9:
% 2.57/2.80 P_h-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V1,V2,V3), P_c-{F}(V3), product-{F}(V4,V2,V3), product-{F}(V1,V5,V3), product-{F}(V6,V2,V3), product-{F}(V7,V2,V8) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #894: mergings( V1 == V4, V4 == V7, V7 == V11, V2 == V5, V5 == V8, V8 == V12, V3 == V6, V6 == V13; #885 ), references = 1, size of lhs = 8:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1), product-{F}(V0,V1,V2), P_c-{F}(V2), product-{F}(V3,V1,V2), product-{F}(V0,V4,V2), product-{F}(V5,V1,V2), product-{F}(V6,V1,V7) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #903: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #896 ), references = 1, size of lhs = 2:
% 2.57/2.80 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #908: mergings( V1 == V2, V2 == V3, V3 == V4; #904 ), references = 1, size of lhs = 1:
% 2.57/2.80 P_a-{F}(V0) | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 #910: exists( #27, #904 ), references = 1, size of lhs = 0:
% 2.57/2.80 FALSE | FALSE
% 2.57/2.80 (used 0 times, uses = {})
% 2.57/2.80
% 2.57/2.80 number of learnt formulas = 64
% 2.57/2.80
% 2.57/2.80
% 2.57/2.80 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/2.80
% 2.57/2.80 randbase = 1
%------------------------------------------------------------------------------