TSTP Solution File: GRP026-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:03:00 EDT 2022
% Result : Unsatisfiable 7.58s 7.75s
% Output : Refutation 7.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP026-1 : TPTP v8.1.0. Bugfixed v2.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 13:57:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.58/7.75 GeoParameters:
% 7.58/7.75
% 7.58/7.75 tptp_input = 1
% 7.58/7.75 tptp_output = 0
% 7.58/7.75 nonempty = 1
% 7.58/7.75 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/7.75 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 7.58/7.75
% 7.58/7.75
% 7.58/7.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/7.75 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/7.75
% 7.58/7.75 RuleSystem INPUT:
% 7.58/7.75
% 7.58/7.75 Initial Rules:
% 7.58/7.75 #0: input, references = 6, size of lhs = 1:
% 7.58/7.75 P_identity_for-{F}(V0,V1) | group_member-{T}(V1,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1: input, references = 4, size of lhs = 2:
% 7.58/7.75 #-{F} V1, P_identity_for-{F}(V0,V2) | product-{T}(V0,V2,V1,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #2: input, references = 4, size of lhs = 2:
% 7.58/7.75 #-{F} V1, P_identity_for-{F}(V0,V2) | product-{T}(V0,V1,V2,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #3: input, references = 3, size of lhs = 2:
% 7.58/7.75 P_inverse-{F}(V0,V1,V2), group_member-{F}(V1,V0) | group_member-{T}(V2,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #4: input, references = 4, size of lhs = 2:
% 7.58/7.75 P_inverse-{F}(V0,V1,V2), P_identity_for-{F}(V0,V3) | product-{T}(V0,V2,V1,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #5: input, references = 3, size of lhs = 2:
% 7.58/7.75 P_inverse-{F}(V0,V1,V2), P_identity_for-{F}(V0,V3) | product-{T}(V0,V1,V2,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #6: input, references = 4, size of lhs = 3:
% 7.58/7.75 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0) | product-{T}(V0,V2,V1,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #7: input, references = 3, size of lhs = 3:
% 7.58/7.75 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0) | group_member-{T}(V3,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #8: input, references = 11, size of lhs = 3:
% 7.58/7.75 product-{F}(V4,V3,V2,V0), product-{F}(V4,V3,V2,V1), V1 == V0 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #9: input, references = 5, size of lhs = 3:
% 7.58/7.75 product-{F}(V0,V2,V1,V3), product-{F}(V0,V5,V1,V4), product-{F}(V0,V6,V5,V2) | product-{T}(V0,V6,V4,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #10: input, references = 4, size of lhs = 3:
% 7.58/7.75 product-{F}(V0,V5,V1,V4), product-{F}(V0,V6,V5,V2), product-{F}(V0,V6,V4,V3) | product-{T}(V0,V2,V1,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #11: input, references = 3, size of lhs = 2:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1) | group_member-{T}(V0,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #12: input, references = 3, size of lhs = 3:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2) | group_member-{T}(V2,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #13: input, references = 3, size of lhs = 4:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | group_member-{T}(V3,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #14: input, references = 3, size of lhs = 6:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5) | group_member-{T}(V4,V5)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #15: input, references = 4, size of lhs = 7:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6) | group_member-{T}(V6,V5)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #16: input, references = 3, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | group_member-{T}(V7,V5)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #17: input, references = 7, size of lhs = 12:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), group_member-{F}(V8,V1), V8 == V0, V8 == V2, V8 == V3 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #18: input, references = 8, size of lhs = 12:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), group_member-{F}(V8,V5), V8 == V4, V8 == V6, V8 == V7 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #19: input, references = 8, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V0,V0,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #20: input, references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V0,V2,V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #21: input, references = 6, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V2,V0,V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #22: input, references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V0,V3,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #23: input, references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V3,V0,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #24: input, references = 7, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V2,V2,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #25: input, references = 7, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V2,V3,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #26: input, references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V3,V2,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #27: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V1,V3,V3,V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #28: input, references = 6, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V4,V4,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #29: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V4,V6,V6)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #30: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V6,V4,V6)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #31: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V4,V7,V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #32: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V7,V4,V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #33: input, references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V6,V6,V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #34: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V6,V7,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #35: input, references = 4, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V7,V6,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #36: input, references = 3, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | product-{T}(V5,V7,V7,V6)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #37: input, references = 4, size of lhs = 10:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), V8 == V4 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #38: input, references = 6, size of lhs = 11:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), V9 == V6 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #39: input, references = 5, size of lhs = 12:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), V10 == V7 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #40: input, references = 5, size of lhs = 12:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11) | group_member-{T}(V11,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #41: input, references = 5, size of lhs = 13:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11), P_d2-{F}(V12) | group_member-{T}(V12,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #42: input, references = 3, size of lhs = 14:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11), P_d2-{F}(V12), P_d3-{F}(V13) | group_member-{T}(V13,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #43: input, references = 4, size of lhs = 14:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11), P_d2-{F}(V12), P_d3-{F}(V13) | product-{T}(V1,V11,V12,V13)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #44: input, references = 9, size of lhs = 18:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11), P_d2-{F}(V12), P_d3-{F}(V13), P_an_isomorphism-{F}(V11,V14), P_an_isomorphism-{F}(V12,V15), P_an_isomorphism-{F}(V13,V16), product-{F}(V5,V14,V15,V16) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #45: input, references = 4, size of lhs = 1:
% 7.58/7.75 #-{F} V0 | EXISTS V1: P_identity_for-{T}(V0,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #46: input, references = 4, size of lhs = 2:
% 7.58/7.75 #-{F} V0, #-{F} V1 | EXISTS V2: P_inverse-{T}(V0,V1,V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #47: input, references = 4, size of lhs = 3:
% 7.58/7.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_multiply-{T}(V0,V1,V2,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #48: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_a-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #49: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_g1-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #50: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_b-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #51: input, references = 5, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_c-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #52: input, references = 8, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_f-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #53: input, references = 8, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_g2-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #54: input, references = 10, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_g-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #55: input, references = 12, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_h-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #56: input, references = 6, size of lhs = 1:
% 7.58/7.75 #-{F} V0 | EXISTS V1: P_an_isomorphism-{T}(V0,V1)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #57: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_d1-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #58: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_d2-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #59: input, references = 4, size of lhs = 0:
% 7.58/7.75 FALSE | EXISTS V0: P_d3-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 number of initial rules = 60
% 7.58/7.75
% 7.58/7.75 Simplifiers:
% 7.58/7.75 #60: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_identity_for-{F}(V0,V1), P_identity_for-{F}(V0,V3), V1 == V3 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #61: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_inverse-{F}(V0,V1,V2), P_inverse-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #62: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_multiply-{F}(V0,V1,V2,V3), P_multiply-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #63: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #64: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_g1-{F}(V0), P_g1-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #65: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #66: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #67: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_f-{F}(V0), P_f-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #68: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_g2-{F}(V0), P_g2-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #69: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_g-{F}(V0), P_g-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #70: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_h-{F}(V0), P_h-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #71: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_an_isomorphism-{F}(V0,V1), P_an_isomorphism-{F}(V0,V3), V1 == V3 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #72: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_d1-{F}(V0), P_d1-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #73: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_d2-{F}(V0), P_d2-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #74: unsound, references = 3, size of lhs = 3:
% 7.58/7.75 P_d3-{F}(V0), P_d3-{F}(V1), V0 == V1 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 number of simplifiers = 15
% 7.58/7.75
% 7.58/7.75 Learnt:
% 7.58/7.75 #84: mergings( V1 == V7, V7 == V2, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #77 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), V2 == V0, P_f-{F}(V3), P_g2-{F}(V4), P_g-{F}(V5) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #91: mergings( V1 == V6, V6 == V2, V3 == V8, V4 == V9, V5 == V10; #85 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), V2 == V0, P_f-{F}(V3), P_g2-{F}(V4) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #97: mergings( V1 == V5, V5 == V2, V3 == V7, V4 == V8; #92 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), V2 == V0, P_f-{F}(V3) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #102: mergings( V1 == V4, V4 == V2, V3 == V6; #98 ), references = 1, size of lhs = 5:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), V2 == V0 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #106: mergings( V1 == V3, V3 == V2; #103 ), references = 1, size of lhs = 3:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1) | P_c-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #110: exists( #56, #37 ), references = 5, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | P_an_isomorphism-{T}(V0,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #112: mergings( V3 == V0; #108 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1), P_f-{F}(V2), P_g2-{F}(V3), P_g-{F}(V4), P_h-{F}(V5) | P_an_isomorphism-{T}(V0,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #113: exists( #56, #39 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1), P_f-{F}(V2), P_g2-{F}(V3), P_g-{F}(V4), P_h-{F}(V5) | P_an_isomorphism-{T}(V0,V5)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #125: mergings( V1 == V11, V2 == V13, V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18; #116 ), references = 1, size of lhs = 11:
% 7.58/7.75 P_a-{F}(V0), P_an_isomorphism-{F}(V0,V1), P_g1-{F}(V2), P_b-{F}(V3), P_an_isomorphism-{F}(V3,V4), P_c-{F}(V5), P_an_isomorphism-{F}(V5,V6), P_f-{F}(V7), P_g2-{F}(V8), P_g-{F}(V9), P_h-{F}(V10) | P_d1-{T}(V0), P_d1-{T}(V3), P_d1-{T}(V5)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #134: mergings( V1 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16, V13 == V6, V7 == V17, V8 == V18; #117 ), references = 1, size of lhs = 11:
% 7.58/7.75 P_g2-{F}(V0), P_g1-{F}(V0), P_a-{F}(V1), P_an_isomorphism-{F}(V1,V2), P_b-{F}(V3), P_an_isomorphism-{F}(V3,V4), P_c-{F}(V5), P_an_isomorphism-{F}(V5,V6), P_f-{F}(V7), P_g-{F}(V8), P_h-{F}(V9) | P_d1-{T}(V7), P_d1-{T}(V8), P_d1-{T}(V9)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #141: exists( #59, #135 ), references = 7, size of lhs = 14:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9), P_an_isomorphism-{F}(V3,V10), P_d1-{F}(V11), P_d2-{F}(V12), product-{F}(V1,V11,V12,V13) | P_d3-{T}(V13)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #154: mergings( V1 == V12, V2 == V14, V3 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V19; #145 ), references = 1, size of lhs = 12:
% 7.58/7.75 P_d1-{F}(V0), P_a-{F}(V1), P_an_isomorphism-{F}(V1,V2), P_g1-{F}(V3), P_b-{F}(V4), P_an_isomorphism-{F}(V4,V5), P_c-{F}(V6), P_an_isomorphism-{F}(V6,V7), P_f-{F}(V8), P_g2-{F}(V9), P_g-{F}(V10), P_h-{F}(V11) | P_d2-{T}(V1), P_d2-{T}(V4), P_d2-{T}(V6)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #163: mergings( V1 == V13, V2 == V14, V3 == V15, V4 == V16, V5 == V17, V14 == V6, V7 == V18, V8 == V19; #146 ), references = 1, size of lhs = 12:
% 7.58/7.75 P_g2-{F}(V0), P_g1-{F}(V0), P_d1-{F}(V1), P_a-{F}(V2), P_an_isomorphism-{F}(V2,V3), P_b-{F}(V4), P_an_isomorphism-{F}(V4,V5), P_c-{F}(V6), P_an_isomorphism-{F}(V6,V7), P_f-{F}(V8), P_g-{F}(V9), P_h-{F}(V10) | P_d2-{T}(V8), P_d2-{T}(V9), P_d2-{T}(V10)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #224: mergings( V0 == V11, V11 == V19, V19 == V32, V32 == V47, V47 == V60, V12 == V20, V20 == V33, V33 == V48, V48 == V61, V1 == V13, V13 == V21, V21 == V34, V34 == V49, V49 == V62, V2 == V14, V14 == V22, V22 == V35, V35 == V50, V50 == V63, V3 == V15, V15 == V23, V23 == V36, V36 == V51, V51 == V64, V4 == V16, V16 == V24, V24 == V37, V37 == V52, V52 == V65, V5 == V17, V17 == V25, V25 == V38, V38 == V53, V53 == V66, V6 == V18, V18 == V26, V26 == V39, V39 == V54, V54 == V67, V7 == V27, V8 == V28, V9 == V29, V27 == V40, V28 == V41, V29 == V42, V40 == V45, V41 == V56, V42 == V57, V45 == V55, V55 == V68, V56 == V69, V57 == V70, V69 == V73, V10 == V30, V30 == V43, V43 == V58, V58 == V71, V44 == V72; #165 ), references = 5, size of lhs = 19:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V3,V9), P_d1-{F}(V10), product-{F}(V1,V10,V0,V11), P_an_isomorphism-{F}(V11,V12), product-{F}(V1,V10,V2,V13), P_an_isomorphism-{F}(V10,V14), product-{F}(V5,V14,V8,V12), P_an_isomorphism-{F}(V2,V15), P_an_isomorphism-{F}(V13,V16), product-{F}(V5,V14,V15,V16) | P_d2-{T}(V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #415: mergings( V0 == V10, V10 == V18, V18 == V28, V28 == V36, V36 == V48, V48 == V62, V62 == V74, V74 == V88, V88 == V100, V100 == V114, V114 == V124, V124 == V132, V132 == V144, V144 == V158, V158 == V170, V170 == V184, V184 == V196, V11 == V29, V29 == V37, V37 == V49, V49 == V63, V63 == V75, V75 == V89, V89 == V101, V101 == V125, V125 == V133, V133 == V145, V145 == V159, V159 == V171, V171 == V185, V185 == V197, V1 == V12, V12 == V19, V19 == V30, V30 == V38, V38 == V50, V50 == V64, V64 == V76, V76 == V90, V90 == V102, V102 == V115, V115 == V126, V126 == V134, V134 == V146, V146 == V160, V160 == V172, V172 == V186, V186 == V198, V2 == V13, V13 == V20, V20 == V31, V31 == V39, V39 == V51, V51 == V65, V65 == V77, V77 == V91, V91 == V103, V103 == V116, V116 == V127, V127 == V135, V135 == V147, V147 == V161, V161 == V173, V173 == V187, V187 == V199, V3 == V14, V14 == V21, V21 == V32, V32 == V40, V40 == V52, V52 == V66, V66 == V78, V78 == V92, V92 == V104, V104 == V117, V117 == V128, V128 == V136, V136 == V148, V148 == V162, V162 == V174, V174 == V188, V188 == V200, V4 == V15, V15 == V22, V22 == V33, V33 == V41, V41 == V53, V53 == V67, V67 == V79, V79 == V93, V93 == V105, V105 == V118, V118 == V129, V129 == V137, V137 == V149, V149 == V163, V163 == V175, V175 == V189, V189 == V201, V5 == V16, V16 == V23, V23 == V34, V34 == V42, V42 == V54, V54 == V68, V68 == V80, V80 == V94, V94 == V106, V106 == V119, V119 == V130, V130 == V138, V138 == V150, V150 == V164, V164 == V176, V176 == V190, V190 == V202, V6 == V17, V17 == V24, V24 == V35, V35 == V43, V43 == V55, V55 == V69, V69 == V81, V81 == V95, V95 == V107, V107 == V120, V120 == V131, V131 == V139, V139 == V151, V151 == V165, V165 == V177, V177 == V191, V191 == V203, V7 == V25, V8 == V26, V9 == V27, V25 == V44, V26 == V45, V27 == V46, V44 == V56, V45 == V57, V46 == V58, V56 == V59, V57 == V71, V58 == V72, V59 == V60, V60 == V70, V70 == V82, V71 == V83, V72 == V84, V82 == V85, V83 == V86, V84 == V98, V85 == V96, V86 == V97, V96 == V108, V97 == V109, V98 == V110, V108 == V111, V109 == V122, V110 == V112, V111 == V121, V112 == V123, V121 == V140, V122 == V141, V123 == V142, V140 == V152, V141 == V153, V142 == V154, V152 == V156, V153 == V155, V154 == V168, V155 == V167, V156 == V166, V166 == V178, V167 == V179, V168 == V180, V178 == V192, V179 == V181, V180 == V194, V181 == V182, V182 == V193, V192 == V204, V193 == V205, V194 == V206, V205 == V207, V206 == V208; #227 ), references = 4, size of lhs = 29:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), product-{F}(V1,V0,V0,V2), P_an_isomorphism-{F}(V2,V3), P_b-{F}(V4), product-{F}(V1,V0,V4,V5), P_an_isomorphism-{F}(V5,V6), product-{F}(V1,V4,V0,V7), P_an_isomorphism-{F}(V7,V8), product-{F}(V1,V4,V4,V9), P_an_isomorphism-{F}(V9,V10), P_c-{F}(V11), product-{F}(V1,V0,V11,V12), P_an_isomorphism-{F}(V12,V13), product-{F}(V1,V4,V11,V14), P_f-{F}(V15), P_g2-{F}(V16), P_g-{F}(V17), P_h-{F}(V18), P_an_isomorphism-{F}(V0,V19), product-{F}(V16,V19,V19,V3), P_an_isomorphism-{F}(V4,V20), product-{F}(V16,V19,V20,V6), product-{F}(V16,V20,V19,V8), product-{F}(V16,V20,V20,V10), P_an_isomorphism-{F}(V11,V21), product-{F}(V16,V19,V21,V13), P_an_isomorphism-{F}(V14,V22), product-{F}(V16,V20,V21,V22) | P_d1-{T}(V11)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #496: mergings( V6 == V15, V15 == V22, V22 == V29, V29 == V35, V35 == V41, V41 == V47, V47 == V54, V54 == V60, V60 == V66, V66 == V71, V71 == V75, V1 == V7, V7 == V9, V2 == V8, V8 == V9, V3 == V9, V9 == V12, V12 == V16, V16 == V19, V19 == V23, V23 == V26, V26 == V30, V30 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V44, V44 == V48, V48 == V51, V51 == V55, V55 == V57, V57 == V61, V61 == V63, V63 == V67, V67 == V69, V69 == V72, V72 == V76, V4 == V10, V10 == V13, V13 == V17, V17 == V20, V20 == V24, V24 == V27, V27 == V33, V33 == V39, V39 == V45, V45 == V49, V49 == V52, V52 == V58, V58 == V64, V64 == V75, V75 == V73, V5 == V11, V11 == V14, V14 == V18, V18 == V21, V21 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V46, V46 == V50, V50 == V53, V53 == V56, V56 == V59, V59 == V62, V62 == V65, V65 == V68, V68 == V70, V70 == V74, V74 == V77; #421 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_f-{F}(V0), P_g2-{F}(V1), P_g1-{F}(V1), P_g-{F}(V2) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #550: mergings( V5 == V12, V12 == V17, V17 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V39, V39 == V43, V43 == V47, V47 == V50, V50 == V53, V1 == V6, V6 == V8, V2 == V7, V7 == V8, V3 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V24, V24 == V27, V27 == V28, V28 == V31, V31 == V32, V32 == V35, V35 == V37, V37 == V40, V40 == V41, V41 == V44, V44 == V45, V45 == V48, V48 == V49, V49 == V51, V51 == V54, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V36, V36 == V38, V38 == V42, V42 == V46, V46 == V53, V53 == V52; #497 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_f-{F}(V0), P_g2-{F}(V1), P_g1-{F}(V1) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #560: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V11 == V6; #553 ), references = 3, size of lhs = 7:
% 7.58/7.75 P_g-{F}(V0), P_f-{F}(V0), P_a-{F}(V1), P_g1-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_g2-{F}(V5) | P_h-{T}(V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #583: mergings( V1 == V8, V2 == V7, V3 == V9, V4 == V10, V5 == V11, V6 == V12, V9 == V7; #574 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1), P_f-{F}(V2), P_g2-{F}(V3), P_g-{F}(V4), V2 == V4 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #591: mergings( V1 == V7, V2 == V6, V3 == V8, V4 == V9, V5 == V10, V8 == V6; #584 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1), P_f-{F}(V2), P_g2-{F}(V3) | P_g-{T}(V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #628: mergings( V4 == V9, V9 == V16, V16 == V28, V1 == V5, V5 == V10, V10 == V17, V17 == V20, V20 == V26, V26 == V29, V2 == V11, V11 == V13, V13 == V18, V18 == V21, V21 == V28, V3 == V6, V6 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V28, V7 == V8, V8 == V15, V15 == V23, V23 == V24, V24 == V25, V25 == V27, V27 == V30; #600 ), references = 1, size of lhs = 5:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1), P_f-{F}(V2) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #650: mergings( V4 == V7, V7 == V13, V13 == V21, V1 == V5, V5 == V8, V8 == V14, V14 == V17, V17 == V20, V20 == V22, V2 == V9, V9 == V11, V11 == V15, V15 == V18, V18 == V21, V3 == V6, V6 == V10, V10 == V12, V12 == V16, V16 == V19, V19 == V21; #629 ), references = 1, size of lhs = 4:
% 7.58/7.75 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V0), P_g1-{F}(V1) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #663: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #657 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_c-{F}(V2), P_f-{F}(V3), P_g2-{F}(V4), P_g-{F}(V5) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #669: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9; #664 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_c-{F}(V2), P_f-{F}(V3), P_g2-{F}(V4) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #674: mergings( V1 == V4, V2 == V6, V3 == V7; #670 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_c-{F}(V2), P_f-{F}(V3) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #678: mergings( V1 == V3, V2 == V5; #675 ), references = 1, size of lhs = 5:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_c-{F}(V2) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #687: mergings( V1 == V6, V6 == V2, V3 == V9, V4 == V10, V5 == V11; #681 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_c-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_f-{F}(V3), P_g2-{F}(V4), P_g-{F}(V5) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #693: mergings( V1 == V5, V5 == V2, V3 == V8, V4 == V9; #688 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_c-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_f-{F}(V3), P_g2-{F}(V4) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #698: mergings( V1 == V4, V4 == V2, V3 == V7; #694 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_c-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2, P_f-{F}(V3) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #702: mergings( V1 == V3, V3 == V2; #699 ), references = 1, size of lhs = 5:
% 7.58/7.75 P_c-{F}(V0), P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), V0 == V2 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #706: exists( #55, #17 ), references = 2, size of lhs = 11:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), group_member-{F}(V7,V1), V7 == V0, V7 == V2, V7 == V3 | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #715: mergings( V1 == V7, V2 == V6, V3 == V8, V4 == V9, V5 == V10, V6 == V11; #708 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_g1-{F}(V0), P_g2-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4) | P_g-{T}(V1), P_g-{T}(V2), P_g-{T}(V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #717: exists( #55, #18 ), references = 1, size of lhs = 10:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), group_member-{F}(V7,V5), V7 == V4, V7 == V6 | P_h-{T}(V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #721: exists( #47, #719 ), references = 1, size of lhs = 3:
% 7.58/7.75 group_member-{F}(V0,V1), group_member-{F}(V2,V1), product-{F}(V1,V2,V0,V3) | P_multiply-{T}(V1,V2,V0,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #729: exists( #45, #723 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6) | P_identity_for-{T}(V1,V0), P_identity_for-{T}(V1,V2), P_identity_for-{T}(V1,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #730: exists( #45, #724 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | P_identity_for-{T}(V1,V0), P_identity_for-{T}(V1,V2), P_identity_for-{T}(V1,V3)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #731: exists( #45, #725 ), references = 1, size of lhs = 8:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7) | P_identity_for-{T}(V5,V4), P_identity_for-{T}(V5,V6), P_identity_for-{T}(V5,V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #734: disj( #726, #1+#8, #1+#8 ), references = 1, size of lhs = 11:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), product-{F}(V1,V2,V7,V8), V7 == V8, product-{F}(V1,V3,V9,V10), V9 == V10 | P_identity_for-{T}(V1,V0)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #736: exists( #56, #38 ), references = 2, size of lhs = 9:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8) | P_an_isomorphism-{T}(V2,V6)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #745: mergings( V3 == V4; #743 ), references = 1, size of lhs = 3:
% 7.58/7.75 P_identity_for-{F}(V0,V1), product-{F}(V0,V2,V3,V1), product-{F}(V0,V1,V3,V4) | P_inverse-{T}(V0,V2,V4)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #752: exists( #56, #39 ), references = 2, size of lhs = 10:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6), P_h-{F}(V7), P_an_isomorphism-{F}(V0,V8), P_an_isomorphism-{F}(V2,V9) | P_an_isomorphism-{T}(V3,V7)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #843: mergings( V0 == V6, V6 == V11, V11 == V16, V16 == V23, V23 == V45, V45 == V52, V52 == V58, V1 == V5, V5 == V12, V12 == V17, V17 == V24, V24 == V55, V55 == V60, V60 == V64, V64 == V68, V68 == V70, V70 == V72, V72 == V75, V2 == V13, V13 == V18, V18 == V25, V25 == V29, V29 == V39, V39 == V42, V42 == V56, V56 == V7, V3 == V8, V8 == V14, V14 == V19, V19 == V26, V26 == V30, V30 == V33, V33 == V36, V36 == V57, V57 == V61, V61 == V67, V4 == V9, V9 == V20, V20 == V27, V27 == V31, V31 == V34, V34 == V37, V37 == V40, V40 == V43, V43 == V46, V46 == V48, V48 == V50, V50 == V53, V53 == V58, V58 == V62, V62 == V65, V65 == V69, V69 == V71, V71 == V73, V73 == V76, V10 == V15, V15 == V21, V21 == V28, V28 == V32, V32 == V35, V35 == V38, V38 == V41, V41 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V54, V54 == V59, V59 == V63, V63 == V66, V66 == V75, V75 == V74; #770 ), references = 1, size of lhs = 11:
% 7.58/7.75 P_a-{F}(V0), P_f-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), V2 == V0, V2 == V1, group_member-{F}(V2,V3), P_g2-{F}(V3), P_g1-{F}(V3), group_member-{F}(V4,V3), V4 == V0 | P_g-{T}(V2)
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #978: mergings( V22 == V32, V32 == V37, V37 == V41, V41 == V45, V45 == V50, V50 == V55, V55 == V60, V60 == V64, V64 == V93, V33 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V56, V56 == V61, V61 == V65, V65 == V68, V68 == V74, V74 == V79, V79 == V88, V88 == V94, V1 == V14, V14 == V18, V18 == V34, V34 == V39, V39 == V43, V43 == V47, V47 == V52, V52 == V57, V57 == V62, V62 == V66, V66 == V69, V69 == V92, V2 == V6, V6 == V10, V10 == V35, V35 == V40, V40 == V44, V44 == V48, V48 == V53, V53 == V58, V58 == V63, V63 == V67, V67 == V70, V70 == V75, V75 == V83, V3 == V7, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V26, V26 == V29, V29 == V59, V59 == V71, V71 == V76, V76 == V80, V80 == V84, V84 == V86, V86 == V89, V89 == V95, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V27, V27 == V30, V30 == V72, V72 == V77, V77 == V81, V81 == V90, V90 == V96, V5 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V28, V28 == V31, V31 == V36, V36 == V49, V49 == V54, V54 == V73, V73 == V78, V78 == V82, V82 == V85, V85 == V87, V87 == V91, V91 == V97; #887 ), references = 1, size of lhs = 7:
% 7.58/7.75 P_c-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_g1-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5), P_g-{F}(V6) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1053: mergings( V17 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V49, V49 == V53, V53 == V76, V25 == V29, V29 == V33, V33 == V37, V37 == V41, V41 == V45, V45 == V50, V50 == V54, V54 == V57, V57 == V62, V62 == V66, V66 == V72, V72 == V77, V1 == V11, V11 == V14, V14 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V42, V42 == V46, V46 == V51, V51 == V55, V55 == V58, V58 == V75, V2 == V5, V5 == V8, V8 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V52, V52 == V56, V56 == V59, V59 == V63, V63 == V69, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V48, V48 == V60, V60 == V64, V64 == V67, V67 == V70, V70 == V71, V71 == V73, V73 == V78, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V61, V61 == V65, V65 == V68, V68 == V74, V74 == V79; #979 ), references = 1, size of lhs = 6:
% 7.58/7.75 P_c-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_g1-{F}(V3), P_f-{F}(V4), P_g2-{F}(V5) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1116: mergings( V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V41, V41 == V45, V45 == V64, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V42, V42 == V46, V46 == V49, V49 == V53, V53 == V56, V56 == V61, V61 == V65, V1 == V8, V8 == V10, V10 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V43, V43 == V47, V47 == V50, V50 == V63, V2 == V4, V4 == V6, V6 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V44, V44 == V48, V48 == V51, V51 == V54, V54 == V58, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V40, V40 == V52, V52 == V55, V55 == V57, V57 == V59, V59 == V60, V60 == V62, V62 == V66; #1054 ), references = 1, size of lhs = 5:
% 7.58/7.75 P_c-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_g1-{F}(V3), P_f-{F}(V4) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1164: mergings( V7 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V24 == V28, V28 == V32, V32 == V36, V36 == V49, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V33, V33 == V37, V37 == V40, V40 == V43, V43 == V45, V45 == V47, V47 == V50, V1 == V5, V5 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V30, V30 == V34, V34 == V38, V38 == V41, V41 == V48, V2 == V3, V3 == V4, V4 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27, V27 == V31, V31 == V35, V35 == V39, V39 == V42, V42 == V44, V44 == V46; #1117 ), references = 1, size of lhs = 4:
% 7.58/7.75 P_c-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_g1-{F}(V3) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1199: mergings( V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V35, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V36, V1 == V2, V2 == V3, V3 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V30, V30 == V34; #1165 ), references = 1, size of lhs = 3:
% 7.58/7.75 P_b-{F}(V0), P_a-{F}(V1), P_g1-{F}(V2) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1222: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V23; #1200 ), references = 1, size of lhs = 2:
% 7.58/7.75 P_a-{F}(V0), P_g1-{F}(V1) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1233: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1223 ), references = 1, size of lhs = 1:
% 7.58/7.75 P_a-{F}(V0) | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 #1235: exists( #48, #1223 ), references = 1, size of lhs = 0:
% 7.58/7.75 FALSE | FALSE
% 7.58/7.75 (used 0 times, uses = {})
% 7.58/7.75
% 7.58/7.75 number of learnt formulas = 50
% 7.58/7.75
% 7.58/7.75
% 7.58/7.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.58/7.75
% 7.58/7.75 randbase = 1
%------------------------------------------------------------------------------