TSTP Solution File: FLD025-5 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:01:06 EDT 2022
% Result : Unsatisfiable 1.03s 1.22s
% Output : Refutation 1.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD025-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 10:02:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.03/1.22 GeoParameters:
% 1.03/1.22
% 1.03/1.22 tptp_input = 1
% 1.03/1.22 tptp_output = 0
% 1.03/1.22 nonempty = 1
% 1.03/1.22 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.22 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.03/1.22
% 1.03/1.22
% 1.03/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.22
% 1.03/1.22 RuleSystem INPUT:
% 1.03/1.22
% 1.03/1.22 Initial Rules:
% 1.03/1.22 #0: input, references = 3, size of lhs = 3:
% 1.03/1.22 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #1: input, references = 3, size of lhs = 3:
% 1.03/1.22 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #2: input, references = 3, size of lhs = 2:
% 1.03/1.22 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #3: input, references = 3, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #4: input, references = 3, size of lhs = 2:
% 1.03/1.22 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #5: input, references = 34, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #6: input, references = 17, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #7: input, references = 8, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #8: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #9: input, references = 32, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #10: input, references = 5, size of lhs = 6:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #11: input, references = 3, size of lhs = 6:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #12: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #13: input, references = 3, size of lhs = 2:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #14: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #15: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #16: input, references = 4, size of lhs = 2:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #17: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #18: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #19: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #20: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #21: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #22: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #23: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #24: input, references = 3, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #25: input, references = 5, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #26: input, references = 4, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #27: input, references = 3, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #28: input, references = 5, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | defined-{T}(V4)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #29: input, references = 4, size of lhs = 6:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | defined-{T}(V5)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #30: input, references = 3, size of lhs = 7:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6) | defined-{T}(V6)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #31: input, references = 3, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7) | defined-{T}(V7)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #32: input, references = 19, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7) | product-{T}(V1,V2,V3)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #33: input, references = 12, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7) | product-{T}(V1,V4,V5)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #34: input, references = 13, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7) | product-{T}(V2,V4,V6)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #35: input, references = 7, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7) | product-{T}(V5,V3,V7)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #36: input, references = 7, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), P_v-{F}(V7), product-{F}(V1,V6,V7) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #37: input, references = 4, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #38: input, references = 3, size of lhs = 1:
% 1.03/1.22 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #39: input, references = 4, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #40: input, references = 3, size of lhs = 1:
% 1.03/1.22 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #41: input, references = 3, size of lhs = 2:
% 1.03/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #42: input, references = 3, size of lhs = 2:
% 1.03/1.22 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #43: input, references = 4, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #44: input, references = 5, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #45: input, references = 8, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #46: input, references = 9, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #47: input, references = 13, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_u-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #48: input, references = 18, size of lhs = 0:
% 1.03/1.22 FALSE | EXISTS V0: P_v-{T}(V0)
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 number of initial rules = 49
% 1.03/1.22
% 1.03/1.22 Simplifiers:
% 1.03/1.22 #49: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #50: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #51: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #52: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #53: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #54: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #55: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #56: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #57: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #58: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #59: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #60: unsound, references = 3, size of lhs = 3:
% 1.03/1.22 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 number of simplifiers = 12
% 1.03/1.22
% 1.03/1.22 Learnt:
% 1.03/1.22 #104: mergings( V1 == V7, V7 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V28, V2 == V8, V8 == V15, V15 == V18, V18 == V23, V23 == V27, V27 == V29, V3 == V9, V4 == V10, V5 == V12, V6 == V13; #81 ), references = 4, size of lhs = 17:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V3,V0,V7), product-{F}(V7,V3,V6), product-{F}(V6,V6,V8), product-{F}(V8,V2,V9), sum-{F}(V9,V9,V10), product-{F}(V11,V0,V10), product-{F}(V12,V2,V11), product-{F}(V12,V13,V9), product-{F}(V3,V13,V14), product-{F}(V6,V14,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #127: mergings( V1 == V6, V6 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V2 == V7, V7 == V13, V13 == V16, V16 == V21, V21 == V25, V25 == V27, V3 == V8, V4 == V9, V5 == V11; #105 ), references = 4, size of lhs = 16:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V3,V0,V6), product-{F}(V6,V3,V5), product-{F}(V5,V5,V7), product-{F}(V7,V2,V8), sum-{F}(V8,V8,V9), product-{F}(V10,V0,V9), product-{F}(V11,V2,V10), product-{F}(V11,V12,V8), product-{F}(V3,V12,V13), product-{F}(V5,V13,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #146: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V12, V2 == V5, V5 == V8, V3 == V10, V4 == V11; #136 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_u-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V0,V0,V4), product-{F}(V4,V2,V5), sum-{F}(V5,V5,V2), product-{F}(V0,V0,V6), product-{F}(V6,V2,V2), product-{F}(V0,V7,V5), product-{F}(V0,V7,V8), product-{F}(V0,V8,V9), product-{F}(V0,V9,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #156: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V13, V2 == V5, V5 == V8, V3 == V10, V4 == V11, V8 == V12; #137 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V0,V0,V4), product-{F}(V4,V2,V5), sum-{F}(V5,V5,V2), product-{F}(V0,V0,V6), product-{F}(V6,V2,V2), product-{F}(V0,V7,V5), product-{F}(V0,V7,V8), product-{F}(V0,V8,V9), product-{F}(V0,V9,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #169: mergings( V1 == V8, V8 == V10, V2 == V4, V4 == V9, V3 == V11, V9 == V12, V5 == V13, V6 == V14, V14 == V7; #159 ), references = 1, size of lhs = 7:
% 1.03/1.22 P_u-{F}(V0), P_d-{F}(V0), P_multiplicative_identity-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #192: mergings( V1 == V7, V7 == V14, V14 == V15, V15 == V16, V2 == V8, V8 == V17, V3 == V9, V9 == V18, V4 == V10, V10 == V19, V5 == V11, V11 == V20, V6 == V12, V12 == V21, V13 == V22; #176 ), references = 3, size of lhs = 10:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), product-{F}(V7,V3,V4), product-{F}(V2,V7,V8), product-{F}(V1,V8,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #208: mergings( V1 == V7, V7 == V13, V13 == V14, V14 == V15, V2 == V8, V8 == V16, V3 == V9, V9 == V17, V4 == V10, V10 == V18, V5 == V11, V11 == V19, V6 == V12, V12 == V20; #193 ), references = 3, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V6,V3,V4), product-{F}(V2,V6,V7), product-{F}(V1,V7,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #219: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10; #213 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_u-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), product-{F}(V7,V4,V5), product-{F}(V3,V7,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #225: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V5 == V12; #214 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_u-{F}(V6), product-{F}(V7,V3,V4), product-{F}(V2,V7,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #232: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9; #226 ), references = 3, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V6,V3,V4), product-{F}(V2,V6,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #237: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9; #227 ), references = 3, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V6,V3,V4), product-{F}(V2,V6,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #244: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9; #238 ), references = 5, size of lhs = 7:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V5,V3,V4), product-{F}(V2,V5,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #261: mergings( V1 == V5, V5 == V7, V7 == V9, V2 == V6, V6 == V8, V8 == V10, V3 == V10, V4 == V10; #252 ), references = 1, size of lhs = 4:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #295: mergings( V1 == V8, V8 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V22, V2 == V14, V14 == V17, V17 == V19, V3 == V9, V9 == V19, V4 == V10, V10 == V20, V5 == V21, V20 == V6, V6 == V11, V7 == V12; #276 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_d-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0), P_u-{F}(V1), P_a-{F}(V2), P_multiplicative_identity-{F}(V2), product-{F}(V2,V2,V2), P_c-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V5,V3,V3), product-{F}(V5,V0,V0), product-{F}(V2,V2,V6), product-{F}(V6,V2,V2), product-{F}(V0,V2,V7), product-{F}(V7,V2,V8), product-{F}(V2,V8,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #314: mergings( V1 == V8, V8 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V23, V2 == V14, V14 == V17, V17 == V19, V3 == V9, V9 == V19, V4 == V10, V10 == V20, V5 == V21, V20 == V6, V6 == V11, V7 == V12, V12 == V22; #277 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_d-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0), P_a-{F}(V1), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), P_c-{F}(V2), P_u-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V5,V2,V2), product-{F}(V5,V0,V0), product-{F}(V1,V1,V6), product-{F}(V6,V1,V1), product-{F}(V0,V1,V7), product-{F}(V7,V1,V8), product-{F}(V1,V8,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #333: mergings( V1 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V20, V2 == V12, V12 == V15, V15 == V17, V3 == V8, V8 == V17, V4 == V9, V9 == V18, V5 == V19, V18 == V6, V6 == V10; #315 ), references = 1, size of lhs = 15:
% 1.03/1.22 P_d-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0), P_a-{F}(V1), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), P_c-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V4,V2,V2), product-{F}(V4,V0,V0), product-{F}(V1,V1,V5), product-{F}(V5,V1,V1), product-{F}(V0,V1,V6), product-{F}(V6,V1,V7), product-{F}(V1,V7,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #350: mergings( V1 == V7, V7 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V20, V2 == V12, V12 == V15, V15 == V17, V3 == V8, V8 == V17, V4 == V9, V9 == V18, V5 == V19, V18 == V6, V6 == V10; #316 ), references = 1, size of lhs = 15:
% 1.03/1.22 P_d-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0), P_a-{F}(V1), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), P_c-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V4,V2,V2), product-{F}(V4,V0,V0), product-{F}(V1,V1,V5), product-{F}(V5,V1,V1), product-{F}(V0,V1,V6), product-{F}(V6,V1,V7), product-{F}(V1,V7,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #387: mergings( V1 == V6, V6 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V20, V7 == V10, V10 == V12, V12 == V16, V2 == V8, V8 == V18, V3 == V19, V4 == V9, V9 == V19, V5 == V16; #369 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_u-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V0,V4,V1), product-{F}(V0,V4,V5), sum-{F}(V5,V5,V6), product-{F}(V5,V0,V6), product-{F}(V0,V1,V7), product-{F}(V0,V7,V3), product-{F}(V0,V0,V8), product-{F}(V8,V0,V9), product-{F}(V1,V9,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #405: mergings( V1 == V6, V6 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V21, V7 == V10, V10 == V12, V12 == V16, V2 == V8, V8 == V18, V3 == V19, V4 == V9, V9 == V19, V5 == V16, V16 == V20; #370 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_u-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V2), P_additive_identity-{F}(V3), product-{F}(V0,V4,V1), product-{F}(V0,V4,V5), sum-{F}(V5,V5,V6), product-{F}(V5,V0,V6), product-{F}(V0,V1,V7), product-{F}(V0,V7,V3), product-{F}(V0,V0,V8), product-{F}(V8,V0,V9), product-{F}(V1,V9,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #427: mergings( V1 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V2 == V10, V10 == V14, V14 == V16; #417 ), references = 1, size of lhs = 13:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V7,V7,V1), product-{F}(V6,V6,V8), product-{F}(V8,V0,V9), product-{F}(V9,V0,V6), product-{F}(V7,V6,V10), product-{F}(V10,V0,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #438: mergings( V1 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V2 == V9, V9 == V13, V13 == V15; #428 ), references = 2, size of lhs = 12:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V6,V6,V1), product-{F}(V5,V5,V7), product-{F}(V7,V0,V8), product-{F}(V8,V0,V5), product-{F}(V6,V5,V9), product-{F}(V9,V0,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #449: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V2 == V8, V8 == V12, V12 == V14; #439 ), references = 2, size of lhs = 11:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V5,V5,V1), product-{F}(V4,V4,V6), product-{F}(V6,V0,V7), product-{F}(V7,V0,V4), product-{F}(V5,V4,V8), product-{F}(V8,V0,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #460: mergings( V1 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V2 == V7, V7 == V11, V11 == V13; #450 ), references = 2, size of lhs = 10:
% 1.03/1.22 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V4,V4,V1), product-{F}(V3,V3,V5), product-{F}(V5,V0,V6), product-{F}(V6,V0,V3), product-{F}(V4,V3,V7), product-{F}(V7,V0,V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #472: mergings( V1 == V8, V2 == V9, V9 == V3, V4 == V10, V10 == V5; #464 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), product-{F}(V0,V1,V1), P_d-{F}(V2), P_u-{F}(V3), P_additive_identity-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #479: mergings( V1 == V8, V2 == V9, V9 == V3, V4 == V10, V10 == V5, V6 == V11; #465 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), product-{F}(V0,V1,V1), P_u-{F}(V2), P_additive_identity-{F}(V3), P_d-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #486: mergings( V1 == V8, V2 == V9, V9 == V3, V4 == V10, V10 == V5, V6 == V11; #466 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), product-{F}(V0,V1,V1), P_u-{F}(V2), P_additive_identity-{F}(V3), P_d-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #495: mergings( V1 == V7, V2 == V8, V8 == V3, V4 == V9, V9 == V5; #487 ), references = 1, size of lhs = 7:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), product-{F}(V0,V1,V1), P_d-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #512: mergings( V1 == V6, V2 == V7, V7 == V3, V4 == V8, V8 == V5; #504 ), references = 1, size of lhs = 6:
% 1.03/1.22 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_b-{F}(V1), product-{F}(V0,V1,V1), P_additive_identity-{F}(V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #535: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V4 == V12; #527 ), references = 1, size of lhs = 10:
% 1.03/1.22 P_d-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), product-{F}(V4,V7,V6), product-{F}(V7,V3,V8), product-{F}(V8,V4,V6) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #542: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V4 == V12, V5 == V13; #528 ), references = 1, size of lhs = 10:
% 1.03/1.22 P_u-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), product-{F}(V3,V7,V5), product-{F}(V7,V2,V8), product-{F}(V8,V3,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #549: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V4 == V12, V5 == V13; #529 ), references = 1, size of lhs = 10:
% 1.03/1.22 P_u-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), P_d-{F}(V6), product-{F}(V3,V7,V5), product-{F}(V7,V2,V8), product-{F}(V8,V3,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #558: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V11; #550 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_d-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), product-{F}(V3,V6,V5), product-{F}(V6,V2,V7), product-{F}(V7,V3,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #565: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V11, V5 == V12; #551 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V2,V6,V4), product-{F}(V6,V1,V7), product-{F}(V7,V2,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #572: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V11, V5 == V12; #552 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V2,V6,V4), product-{F}(V6,V1,V7), product-{F}(V7,V2,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #581: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V10; #573 ), references = 2, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V2,V5,V4), product-{F}(V5,V1,V6), product-{F}(V6,V2,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #587: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V10; #574 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V2,V5,V4), product-{F}(V5,V1,V6), product-{F}(V6,V2,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #593: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V4 == V10; #575 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), product-{F}(V2,V5,V4), product-{F}(V5,V1,V6), product-{F}(V6,V2,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #613: mergings( V1 == V5, V5 == V6, V6 == V8, V2 == V7, V7 == V9, V3 == V9, V4 == V10; #603 ), references = 1, size of lhs = 4:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #623: mergings( V1 == V4, V4 == V5, V5 == V7, V2 == V6, V6 == V8, V3 == V8; #614 ), references = 1, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V1) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #679: mergings( V1 == V7, V7 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V23, V2 == V5, V5 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V21, V4 == V10, V10 == V22, V17 == V12, V12 == V6; #658 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_u-{F}(V0), product-{F}(V0,V0,V0), P_d-{F}(V0), P_multiplicative_identity-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), product-{F}(V0,V2,V2), P_b-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V5,V5,V3), product-{F}(V5,V0,V2), product-{F}(V0,V6,V4), product-{F}(V0,V6,V7), product-{F}(V8,V7,V2), product-{F}(V8,V0,V9), product-{F}(V9,V1,V1) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #699: mergings( V1 == V7, V7 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V24, V2 == V5, V5 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V21, V4 == V10, V10 == V22, V11 == V23, V17 == V12, V12 == V6; #659 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_u-{F}(V0), product-{F}(V0,V0,V0), P_d-{F}(V0), P_multiplicative_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V1,V1), P_b-{F}(V2), P_c-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V5,V5,V2), product-{F}(V5,V0,V1), product-{F}(V0,V6,V4), product-{F}(V0,V6,V7), product-{F}(V8,V7,V1), product-{F}(V8,V0,V9), product-{F}(V9,V3,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #720: mergings( V1 == V7, V7 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V25, V2 == V5, V5 == V8, V8 == V14, V14 == V17, V3 == V9, V9 == V21, V4 == V10, V10 == V22, V11 == V23, V17 == V12, V12 == V24, V24 == V6; #660 ), references = 1, size of lhs = 16:
% 1.03/1.22 P_u-{F}(V0), product-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_d-{F}(V0), P_a-{F}(V1), product-{F}(V0,V1,V1), P_b-{F}(V2), P_c-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V5,V5,V2), product-{F}(V5,V0,V1), product-{F}(V0,V6,V4), product-{F}(V0,V6,V7), product-{F}(V8,V7,V1), product-{F}(V8,V0,V9), product-{F}(V9,V3,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #730: mergings( V1 == V8, V2 == V6, V3 == V9, V4 == V10, V5 == V11, V6 == V12, V10 == V7; #722 ), references = 1, size of lhs = 7:
% 1.03/1.22 P_multiplicative_identity-{F}(V0), P_d-{F}(V0), P_u-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #785: mergings( V1 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V27, V27 == V29, V29 == V30, V30 == V32, V2 == V8, V8 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V28, V28 == V31, V31 == V33, V3 == V9, V9 == V22, V22 == V34, V4 == V10, V10 == V23, V23 == V35, V11 == V24, V24 == V36, V5 == V12, V12 == V25, V25 == V37, V6 == V26, V26 == V38; #753 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V1,V3,V2), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V5,V1,V5), P_u-{F}(V6) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #816: mergings( V1 == V6, V6 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V25, V25 == V27, V27 == V28, V28 == V30, V2 == V7, V7 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V26, V26 == V29, V29 == V31, V3 == V8, V8 == V21, V21 == V32, V4 == V9, V9 == V22, V22 == V33, V10 == V23, V23 == V34, V5 == V11, V11 == V24, V24 == V35; #786 ), references = 2, size of lhs = 8:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V1,V3,V2), P_c-{F}(V4), P_d-{F}(V5), product-{F}(V5,V1,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #829: mergings( V1 == V6, V6 == V7, V7 == V9, V2 == V8, V8 == V10, V3 == V11, V4 == V12, V5 == V13; #820 ), references = 2, size of lhs = 6:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V1,V3,V2), P_c-{F}(V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #838: mergings( V1 == V5, V5 == V6, V6 == V8, V2 == V7, V7 == V9, V3 == V10, V4 == V11; #830 ), references = 2, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V1,V3,V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #848: mergings( V1 == V7, V2 == V9, V3 == V10, V4 == V11, V10 == V5; #841 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_d-{F}(V0), P_b-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), product-{F}(V6,V0,V5), product-{F}(V4,V6,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #855: mergings( V1 == V7, V2 == V9, V3 == V10, V4 == V11, V10 == V5, V6 == V12; #842 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_d-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), product-{F}(V6,V0,V4), product-{F}(V3,V6,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #863: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V9 == V5; #856 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_d-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), product-{F}(V5,V0,V4), product-{F}(V3,V5,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #869: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V9 == V5; #857 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_d-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), product-{F}(V5,V0,V4), product-{F}(V3,V5,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #884: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10; #877 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_c-{F}(V0), P_d-{F}(V1), P_u-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), product-{F}(V4,V4,V7), product-{F}(V7,V5,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #890: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V4 == V12; #878 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_d-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), product-{F}(V3,V3,V7), product-{F}(V7,V4,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #897: mergings( V1 == V8, V8 == V9, V2 == V10, V3 == V11, V4 == V12, V12 == V5; #879 ), references = 1, size of lhs = 10:
% 1.03/1.22 P_c-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_u-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), product-{F}(V6,V0,V0), product-{F}(V7,V6,V5), product-{F}(V4,V7,V5) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #905: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9; #898 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), product-{F}(V3,V3,V6), product-{F}(V6,V4,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #911: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V11; #899 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_d-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_c-{F}(V5), product-{F}(V2,V2,V6), product-{F}(V6,V3,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #918: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V4 == V11, V11 == V5; #900 ), references = 1, size of lhs = 9:
% 1.03/1.22 P_c-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), product-{F}(V5,V0,V0), product-{F}(V6,V5,V4), product-{F}(V3,V6,V4) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #926: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8; #919 ), references = 1, size of lhs = 7:
% 1.03/1.22 P_c-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), product-{F}(V2,V2,V5), product-{F}(V5,V3,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #937: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V10, V10 == V5; #921 ), references = 1, size of lhs = 8:
% 1.03/1.22 P_c-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), product-{F}(V4,V0,V0), product-{F}(V5,V4,V3), product-{F}(V2,V5,V3) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #944: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #938 ), references = 1, size of lhs = 6:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V1,V1,V4), product-{F}(V4,V2,V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #955: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #949 ), references = 2, size of lhs = 5:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), product-{F}(V1,V1,V3), product-{F}(V3,V2,V2) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #967: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #962 ), references = 1, size of lhs = 3:
% 1.03/1.22 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #975: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #970 ), references = 1, size of lhs = 1:
% 1.03/1.22 P_additive_identity-{F}(V0) | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 #977: exists( #37, #970 ), references = 1, size of lhs = 0:
% 1.03/1.22 FALSE | FALSE
% 1.03/1.22 (used 0 times, uses = {})
% 1.03/1.22
% 1.03/1.22 number of learnt formulas = 64
% 1.03/1.22
% 1.03/1.22
% 1.03/1.22 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.03/1.22
% 1.03/1.22 randbase = 1
%------------------------------------------------------------------------------