TSTP Solution File: GRP025-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP025-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:02:59 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP025-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 13:43:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.54/0.74 GeoParameters:
% 0.54/0.74
% 0.54/0.74 tptp_input = 1
% 0.54/0.74 tptp_output = 0
% 0.54/0.74 nonempty = 1
% 0.54/0.74 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74
% 0.54/0.74 RuleSystem INPUT:
% 0.54/0.74
% 0.54/0.74 Initial Rules:
% 0.54/0.74 #0: input, references = 8, size of lhs = 1:
% 0.54/0.74 P_identity_for-{F}(V0,V1) | group_member-{T}(V1,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #1: input, references = 4, size of lhs = 2:
% 0.54/0.74 #-{F} V1, P_identity_for-{F}(V0,V2) | product-{T}(V0,V2,V1,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #2: input, references = 3, size of lhs = 2:
% 0.54/0.74 #-{F} V1, P_identity_for-{F}(V0,V2) | product-{T}(V0,V1,V2,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #3: input, references = 5, size of lhs = 2:
% 0.54/0.74 P_inverse-{F}(V0,V1,V2), group_member-{F}(V1,V0) | group_member-{T}(V2,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #4: input, references = 3, size of lhs = 2:
% 0.54/0.74 P_inverse-{F}(V0,V1,V2), P_identity_for-{F}(V0,V3) | product-{T}(V0,V2,V1,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #5: input, references = 4, size of lhs = 2:
% 0.54/0.74 P_inverse-{F}(V0,V1,V2), P_identity_for-{F}(V0,V3) | product-{T}(V0,V1,V2,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #6: input, references = 4, size of lhs = 3:
% 0.54/0.74 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0) | product-{T}(V0,V2,V1,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #7: input, references = 3, size of lhs = 3:
% 0.54/0.74 group_member-{F}(V1,V0), P_multiply-{F}(V0,V2,V1,V3), group_member-{F}(V2,V0) | group_member-{T}(V3,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #8: input, references = 7, size of lhs = 3:
% 0.54/0.74 product-{F}(V4,V3,V2,V0), product-{F}(V4,V3,V2,V1), V1 == V0 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #9: input, references = 3, size of lhs = 3:
% 0.54/0.74 product-{F}(V0,V2,V1,V3), product-{F}(V0,V5,V1,V4), product-{F}(V0,V6,V5,V2) | product-{T}(V0,V6,V4,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #10: input, references = 3, size of lhs = 3:
% 0.54/0.74 product-{F}(V0,V5,V1,V4), product-{F}(V0,V6,V5,V2), product-{F}(V0,V6,V4,V3) | product-{T}(V0,V2,V1,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #11: input, references = 3, size of lhs = 2:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1) | group_member-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #12: input, references = 3, size of lhs = 3:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2) | group_member-{T}(V2,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #13: input, references = 3, size of lhs = 5:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4) | group_member-{T}(V3,V4)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #14: input, references = 3, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | group_member-{T}(V5,V4)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #15: input, references = 8, size of lhs = 9:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), group_member-{F}(V6,V1), V6 == V0, V6 == V2 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #16: input, references = 8, size of lhs = 9:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), group_member-{F}(V6,V4), V6 == V3, V6 == V5 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #17: input, references = 5, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V1,V0,V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #18: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V1,V0,V2,V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #19: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V1,V2,V0,V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #20: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V1,V2,V2,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #21: input, references = 5, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V4,V3,V3,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #22: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V4,V3,V5,V5)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #23: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V4,V5,V3,V5)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #24: input, references = 4, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | product-{T}(V4,V5,V5,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #25: input, references = 4, size of lhs = 8:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), V6 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #26: input, references = 5, size of lhs = 9:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), V7 == V5 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #27: input, references = 4, size of lhs = 9:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8) | group_member-{T}(V8,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #28: input, references = 4, size of lhs = 10:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8), P_d2-{F}(V9) | group_member-{T}(V9,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #29: input, references = 3, size of lhs = 11:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8), P_d2-{F}(V9), P_d3-{F}(V10) | group_member-{T}(V10,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #30: input, references = 4, size of lhs = 11:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8), P_d2-{F}(V9), P_d3-{F}(V10) | product-{T}(V1,V8,V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #31: input, references = 7, size of lhs = 15:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8), P_d2-{F}(V9), P_d3-{F}(V10), P_an_isomorphism-{F}(V8,V11), P_an_isomorphism-{F}(V9,V12), P_an_isomorphism-{F}(V10,V13), product-{F}(V4,V11,V12,V13) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #32: input, references = 8, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_identity_for-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #33: input, references = 5, size of lhs = 2:
% 0.54/0.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_inverse-{T}(V0,V1,V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #34: input, references = 4, size of lhs = 3:
% 0.54/0.74 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_multiply-{T}(V0,V1,V2,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #35: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #36: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_g1-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #37: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #38: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #39: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_g2-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #40: input, references = 6, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #41: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_an_isomorphism-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #42: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_d1-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #43: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_d2-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #44: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_d3-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 number of initial rules = 45
% 0.54/0.74
% 0.54/0.74 Simplifiers:
% 0.54/0.74 #45: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_identity_for-{F}(V0,V1), P_identity_for-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #46: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_inverse-{F}(V0,V1,V2), P_inverse-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #47: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_multiply-{F}(V0,V1,V2,V3), P_multiply-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #48: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #49: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_g1-{F}(V0), P_g1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #50: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #51: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #52: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_g2-{F}(V0), P_g2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #53: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #54: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_an_isomorphism-{F}(V0,V1), P_an_isomorphism-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #55: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_d1-{F}(V0), P_d1-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #56: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_d2-{F}(V0), P_d2-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #57: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_d3-{F}(V0), P_d3-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 number of simplifiers = 13
% 0.54/0.74
% 0.54/0.74 Learnt:
% 0.54/0.74 #60: exists( #32, #58 ), references = 1, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_identity_for-{T}(V4,V3), P_identity_for-{T}(V4,V5)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #65: exists( #34, #62 ), references = 1, size of lhs = 3:
% 0.54/0.74 group_member-{F}(V0,V1), group_member-{F}(V2,V1), product-{F}(V1,V2,V0,V3) | P_multiply-{T}(V1,V2,V0,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #68: exists( #41, #25 ), references = 2, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_an_isomorphism-{T}(V0,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #69: exists( #41, #26 ), references = 1, size of lhs = 6:
% 0.54/0.74 P_a-{F}(V0), P_b-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), P_g2-{F}(V3), P_d-{F}(V4) | P_an_isomorphism-{T}(V0,V4)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #77: mergings( V1 == V9, V2 == V11, V3 == V12, V4 == V13, V5 == V14; #71 ), references = 1, size of lhs = 9:
% 0.54/0.74 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_g2-{F}(V7), P_d-{F}(V8) | P_d2-{T}(V1), P_d2-{T}(V4)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #82: exists( #44, #78 ), references = 4, size of lhs = 11:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6), P_an_isomorphism-{F}(V2,V7), P_d1-{F}(V8), P_d2-{F}(V9), product-{F}(V1,V8,V9,V10) | P_d3-{T}(V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #109: mergings( V0 == V8, V8 == V14, V14 == V24, V9 == V15, V15 == V25, V1 == V10, V10 == V16, V16 == V26, V2 == V11, V11 == V17, V17 == V27, V3 == V12, V12 == V18, V18 == V28, V4 == V13, V13 == V19, V19 == V29, V5 == V20, V6 == V21, V20 == V30, V21 == V31, V30 == V34, V7 == V22, V22 == V32; #84 ), references = 4, size of lhs = 13:
% 0.54/0.74 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V2,V6), P_d1-{F}(V7), product-{F}(V1,V7,V0,V8), P_an_isomorphism-{F}(V7,V9), P_an_isomorphism-{F}(V0,V10), P_an_isomorphism-{F}(V8,V11), product-{F}(V4,V9,V10,V11) | P_d2-{T}(V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #119: mergings( V1 == V8, V2 == V10, V3 == V11, V4 == V12, V5 == V13; #113 ), references = 1, size of lhs = 8:
% 0.54/0.75 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_g2-{F}(V6), P_d-{F}(V7) | P_d1-{T}(V0), P_d1-{T}(V3)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #155: mergings( V0 == V7, V7 == V13, V13 == V24, V24 == V33, V8 == V14, V14 == V25, V25 == V34, V1 == V9, V9 == V15, V15 == V26, V26 == V35, V2 == V10, V10 == V16, V16 == V27, V27 == V36, V3 == V11, V11 == V17, V17 == V28, V28 == V37, V4 == V12, V12 == V18, V18 == V29, V29 == V38, V5 == V21, V6 == V19, V19 == V31, V21 == V22, V22 == V30, V30 == V39, V31 == V40, V39 == V41, V40 == V42; #122 ), references = 2, size of lhs = 14:
% 0.54/0.75 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_c-{F}(V6), P_g2-{F}(V7), P_d-{F}(V8), P_an_isomorphism-{F}(V0,V9), product-{F}(V7,V9,V9,V3), P_an_isomorphism-{F}(V4,V10), P_an_isomorphism-{F}(V5,V11), product-{F}(V7,V9,V10,V11) | P_d1-{T}(V4)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #187: mergings( V4 == V25, V5 == V7, V7 == V13, V13 == V19, V19 == V22, V22 == V26, V1 == V6, V6 == V8, V8 == V25, V2 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V17, V17 == V20, V20 == V21, V21 == V23, V23 == V27, V3 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V24, V24 == V28; #162 ), references = 1, size of lhs = 5:
% 0.54/0.75 P_a-{F}(V0), P_b-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2), P_g2-{F}(V3) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #207: mergings( V3 == V19, V4 == V6, V6 == V10, V10 == V14, V14 == V17, V17 == V20, V1 == V5, V5 == V7, V7 == V19, V2 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V21; #188 ), references = 1, size of lhs = 4:
% 0.54/0.75 P_a-{F}(V0), P_b-{F}(V0), P_g1-{F}(V1), P_c-{F}(V2) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #218: mergings( V2 == V10, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V10; #208 ), references = 1, size of lhs = 3:
% 0.54/0.75 P_a-{F}(V0), P_b-{F}(V0), P_g1-{F}(V1) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #220: exists( #40, #16 ), references = 1, size of lhs = 7:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), group_member-{F}(V5,V4), V5 == V3 | P_d-{T}(V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #230: exists( #33, #228 ), references = 1, size of lhs = 7:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), group_member-{F}(V2,V1), P_b-{F}(V3), P_c-{F}(V4), P_g2-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V1,V2,V0), P_inverse-{T}(V1,V2,V3)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #233: exists( #32, #231 ), references = 1, size of lhs = 6:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_identity_for-{T}(V4,V3), P_identity_for-{T}(V4,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #236: exists( #32, #234 ), references = 1, size of lhs = 6:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_identity_for-{T}(V1,V0), P_identity_for-{T}(V1,V2)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #239: disj( #235, #1+#8 ), references = 1, size of lhs = 8:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), product-{F}(V1,V2,V6,V7), V6 == V7 | P_identity_for-{T}(V1,V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #242: exists( #32, #240 ), references = 1, size of lhs = 6:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_identity_for-{T}(V4,V3), P_identity_for-{T}(V4,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #248: exists( #33, #246 ), references = 1, size of lhs = 7:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), group_member-{F}(V2,V1), P_b-{F}(V3), P_c-{F}(V4), P_g2-{F}(V5), P_d-{F}(V6) | P_inverse-{T}(V1,V2,V0), P_inverse-{T}(V1,V2,V3)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #251: disj( #247, #5+#8 ), references = 1, size of lhs = 10:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), group_member-{F}(V2,V1), P_b-{F}(V3), P_c-{F}(V4), P_g2-{F}(V5), P_d-{F}(V6), P_identity_for-{F}(V1,V7), product-{F}(V1,V2,V3,V8), V7 == V8 | P_inverse-{T}(V1,V2,V0)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #254: exists( #32, #252 ), references = 1, size of lhs = 6:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5) | P_identity_for-{T}(V4,V3), P_identity_for-{T}(V4,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #258: exists( #41, #26 ), references = 2, size of lhs = 7:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4), P_d-{F}(V5), P_an_isomorphism-{F}(V0,V6) | P_an_isomorphism-{T}(V2,V5)
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #320: mergings( V10 == V13, V13 == V16, V16 == V19, V19 == V38, V11 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V26, V26 == V29, V29 == V32, V32 == V35, V35 == V39, V1 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V40, V2 == V4, V4 == V6, V6 == V8, V8 == V24, V24 == V27, V27 == V30, V30 == V33, V33 == V36, V36 == V41, V3 == V5, V5 == V7, V7 == V9, V9 == V25, V25 == V28, V28 == V31, V31 == V34, V34 == V37, V37 == V42; #282 ), references = 1, size of lhs = 5:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_g2-{F}(V4) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #350: mergings( V6 == V9, V9 == V12, V12 == V15, V15 == V29, V7 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V1 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V31, V2 == V3, V3 == V4, V4 == V5, V5 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32; #321 ), references = 1, size of lhs = 4:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2), P_c-{F}(V3) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #371: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V20, V3 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V22; #351 ), references = 1, size of lhs = 3:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1), P_b-{F}(V2) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #386: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V14, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15; #372 ), references = 1, size of lhs = 2:
% 0.54/0.75 P_a-{F}(V0), P_g1-{F}(V1) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #392: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #387 ), references = 1, size of lhs = 1:
% 0.54/0.75 P_a-{F}(V0) | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 #394: exists( #35, #387 ), references = 1, size of lhs = 0:
% 0.54/0.75 FALSE | FALSE
% 0.54/0.75 (used 0 times, uses = {})
% 0.54/0.75
% 0.54/0.75 number of learnt formulas = 28
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.75
% 0.54/0.75 randbase = 1
%------------------------------------------------------------------------------