TSTP Solution File: FLD066-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:01:15 EDT 2022
% Result : Unsatisfiable 2.86s 3.06s
% Output : Refutation 2.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 10:11:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.86/3.06 GeoParameters:
% 2.86/3.06
% 2.86/3.06 tptp_input = 1
% 2.86/3.06 tptp_output = 0
% 2.86/3.06 nonempty = 1
% 2.86/3.06 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/3.06 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.86/3.06
% 2.86/3.06
% 2.86/3.06 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/3.06 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/3.06
% 2.86/3.06 RuleSystem INPUT:
% 2.86/3.06
% 2.86/3.06 Initial Rules:
% 2.86/3.06 #0: input, references = 23, size of lhs = 3:
% 2.86/3.06 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #1: input, references = 19, size of lhs = 3:
% 2.86/3.06 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #2: input, references = 11, size of lhs = 2:
% 2.86/3.06 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #3: input, references = 15, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #4: input, references = 27, size of lhs = 2:
% 2.86/3.06 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #5: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #6: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #7: input, references = 3, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #8: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #9: input, references = 3, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #10: input, references = 3, size of lhs = 6:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #11: input, references = 3, size of lhs = 6:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #12: input, references = 3, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #13: input, references = 3, size of lhs = 2:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #14: input, references = 7, size of lhs = 4:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #15: input, references = 3, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #16: input, references = 3, size of lhs = 2:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #17: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #18: input, references = 4, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #19: input, references = 3, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #20: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #21: input, references = 4, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #22: input, references = 3, size of lhs = 4:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #23: input, references = 10, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #24: input, references = 3, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #25: input, references = 5, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #26: input, references = 4, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #27: input, references = 4, size of lhs = 4:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #28: input, references = 4, size of lhs = 5:
% 2.86/3.06 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)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #29: input, references = 6, size of lhs = 6:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5) | defined-{T}(V5)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #30: input, references = 4, size of lhs = 7:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6) | defined-{T}(V6)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #31: input, references = 13, size of lhs = 7:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6) | sum-{T}(V2,V4,V5)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #32: input, references = 9, size of lhs = 7:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6) | sum-{T}(V3,V4,V6)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #33: input, references = 9, size of lhs = 7:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6) | less_or_equal-{T}(V5,V6)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #34: input, references = 9, size of lhs = 8:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6), less_or_equal-{F}(V2,V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #35: input, references = 4, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #36: input, references = 10, size of lhs = 1:
% 2.86/3.06 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #37: input, references = 4, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #38: input, references = 3, size of lhs = 1:
% 2.86/3.06 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #39: input, references = 4, size of lhs = 2:
% 2.86/3.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #40: input, references = 3, size of lhs = 2:
% 2.86/3.06 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #41: input, references = 4, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_a-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #42: input, references = 4, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_b-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #43: input, references = 6, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_c-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #44: input, references = 7, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_u-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #45: input, references = 13, size of lhs = 0:
% 2.86/3.06 FALSE | EXISTS V0: P_v-{T}(V0)
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 number of initial rules = 46
% 2.86/3.06
% 2.86/3.06 Simplifiers:
% 2.86/3.06 #46: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #47: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #48: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #49: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #50: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #51: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #52: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #53: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #54: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #55: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #56: unsound, references = 3, size of lhs = 3:
% 2.86/3.06 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 number of simplifiers = 11
% 2.86/3.06
% 2.86/3.06 Learnt:
% 2.86/3.06 #83: mergings( V1 == V7, V7 == V12, V12 == V13, V13 == V15, V15 == V17, V2 == V8, V8 == V14, V14 == V16, V16 == V18, V3 == V4, V4 == V9, V9 == V10, V10 == V19, V5 == V11, V11 == V20, V19 == V6, V6 == V21; #65 ), references = 2, size of lhs = 8:
% 2.86/3.06 P_a-{F}(V0), P_b-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3), sum-{F}(V3,V0,V4), sum-{F}(V4,V3,V0) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #89: mergings( V1 == V6, V2 == V7; #86 ), references = 1, size of lhs = 8:
% 2.86/3.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_u-{F}(V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V2,V3,V5), sum-{F}(V0,V5,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #128: mergings( V1 == V6, V6 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V21, V21 == V23, V2 == V7, V7 == V16, V16 == V22, V22 == V24, V3 == V8, V8 == V17, V17 == V25, V4 == V9, V9 == V18, V18 == V26, V5 == V10, V10 == V19, V19 == V27, V11 == V20, V20 == V28; #105 ), references = 3, size of lhs = 10:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), sum-{F}(V6,V3,V3), sum-{F}(V7,V4,V6), sum-{F}(V7,V2,V8), sum-{F}(V8,V4,V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #150: mergings( V1 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V19, V19 == V21, V2 == V7, V7 == V15, V15 == V20, V20 == V22, V3 == V8, V8 == V16, V16 == V23, V4 == V9, V9 == V17, V17 == V24, V5 == V10, V10 == V18, V18 == V25; #129 ), references = 3, size of lhs = 9:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V5,V3,V3), sum-{F}(V6,V4,V5), sum-{F}(V6,V2,V7), sum-{F}(V7,V4,V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #182: exists( #36, #180 ), references = 1, size of lhs = 6:
% 2.86/3.06 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V0,V3,V0), sum-{F}(V1,V1,V4), sum-{F}(V4,V3,V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #189: mergings( V1 == V6, V6 == V7, V2 == V8; #185 ), references = 1, size of lhs = 9:
% 2.86/3.06 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_u-{F}(V2), defined-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V3,V3,V5), sum-{F}(V5,V0,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #206: mergings( V1 == V4, V4 == V6, V2 == V7, V3 == V5; #199 ), references = 1, size of lhs = 6:
% 2.86/3.06 P_a-{F}(V0), P_b-{F}(V0), P_u-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_c-{F}(V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #227: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #222 ), references = 2, size of lhs = 11:
% 2.86/3.06 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6), sum-{F}(V1,V7,V3), sum-{F}(V0,V7,V8), less_or_equal-{F}(V8,V8) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #259: mergings( V1 == V7, V7 == V12, V12 == V13, V13 == V19, V19 == V21, V2 == V8, V8 == V14, V14 == V20, V20 == V22, V3 == V9, V9 == V15, V15 == V23, V4 == V16, V16 == V23, V5 == V10, V10 == V17, V17 == V24, V6 == V11, V11 == V18, V18 == V25; #238 ), references = 1, size of lhs = 12:
% 2.86/3.06 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_u-{F}(V4), sum-{F}(V4,V5,V4), sum-{F}(V0,V6,V0), sum-{F}(V6,V5,V7), sum-{F}(V4,V7,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #288: mergings( V1 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V17, V17 == V18, V18 == V23, V23 == V25, V2 == V9, V9 == V14, V14 == V19, V19 == V24, V24 == V26, V3 == V10, V10 == V15, V15 == V20, V20 == V27, V4 == V11, V11 == V21, V21 == V27, V5 == V12, V12 == V16, V16 == V22, V22 == V28; #263 ), references = 1, size of lhs = 9:
% 2.86/3.06 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), sum-{F}(V1,V3,V3), sum-{F}(V0,V4,V0), sum-{F}(V4,V1,V1) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #319: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V13, V13 == V17, V17 == V20, V20 == V21, V21 == V25, V25 == V27, V2 == V8, V8 == V14, V14 == V18, V18 == V22, V22 == V26, V26 == V28, V3 == V9, V9 == V15, V15 == V19, V19 == V23, V23 == V29, V4 == V10, V10 == V16, V16 == V24, V24 == V29; #292 ), references = 1, size of lhs = 6:
% 2.86/3.06 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), sum-{F}(V0,V2,V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #336: mergings( V2 == V3; #333 ), references = 2, size of lhs = 10:
% 2.86/3.06 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V1,V4,V4), sum-{F}(V0,V5,V3), sum-{F}(V1,V5,V6), sum-{F}(V6,V0,V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #338: mergings( V2 == V3; #334 ), references = 1, size of lhs = 11:
% 2.86/3.06 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V1,V4,V4), P_u-{F}(V5), sum-{F}(V0,V6,V3), sum-{F}(V1,V6,V7), sum-{F}(V7,V0,V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #351: mergings( V1 == V6, V6 == V7, V7 == V9, V2 == V10, V3 == V5, V4 == V11; #343 ), references = 1, size of lhs = 9:
% 2.86/3.06 P_u-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V0), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #359: mergings( V1 == V6, V6 == V7, V7 == V9, V2 == V10, V3 == V5, V4 == V11, V5 == V12; #344 ), references = 1, size of lhs = 9:
% 2.86/3.06 P_a-{F}(V0), P_u-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V0), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #397: mergings( V1 == V6, V6 == V12, V12 == V13, V13 == V14, V14 == V20, V20 == V22, V2 == V7, V7 == V15, V15 == V21, V21 == V23, V3 == V8, V8 == V16, V16 == V24, V4 == V9, V9 == V17, V17 == V25, V10 == V18, V18 == V26, V5 == V11, V11 == V19, V19 == V27; #375 ), references = 1, size of lhs = 8:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), sum-{F}(V5,V2,V2), sum-{F}(V5,V3,V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #434: mergings( V2 == V3, V3 == V4, V4 == V6, V5 == V7; #429 ), references = 2, size of lhs = 11:
% 2.86/3.06 P_b-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), P_v-{F}(V6), sum-{F}(V7,V0,V3), sum-{F}(V7,V1,V8), less_or_equal-{F}(V8,V1) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #473: mergings( V1 == V7, V7 == V12, V12 == V18, V18 == V19, V19 == V25, V2 == V8, V8 == V13, V13 == V20, V20 == V26, V3 == V9, V9 == V14, V14 == V21, V21 == V27, V4 == V10, V10 == V15, V15 == V22, V22 == V25, V5 == V16, V16 == V23, V23 == V28, V6 == V11, V11 == V17, V17 == V24, V24 == V29; #448 ), references = 1, size of lhs = 8:
% 2.86/3.06 P_b-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V2,V0,V2), P_c-{F}(V3), P_u-{F}(V4), sum-{F}(V4,V0,V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #504: mergings( V1 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V17, V17 == V21, V21 == V22, V22 == V27, V2 == V9, V9 == V14, V14 == V18, V18 == V23, V23 == V28, V3 == V10, V10 == V15, V15 == V19, V19 == V24, V24 == V29, V4 == V11, V11 == V16, V16 == V25, V25 == V27, V5 == V12, V12 == V20, V20 == V26, V26 == V30; #477 ), references = 1, size of lhs = 6:
% 2.86/3.06 P_b-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V2,V0,V2), P_c-{F}(V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #528: mergings( V1 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V15, V15 == V18, V18 == V19, V19 == V23, V2 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V3 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V4 == V10, V10 == V14, V14 == V22, V22 == V23; #505 ), references = 1, size of lhs = 5:
% 2.86/3.06 P_b-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V2,V0,V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #666: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #658 ), references = 1, size of lhs = 17:
% 2.86/3.06 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V1,V5,V4), sum-{F}(V0,V5,V6), sum-{F}(V4,V7,V6), sum-{F}(V8,V3,V3), sum-{F}(V1,V8,V9), sum-{F}(V9,V7,V0), sum-{F}(V10,V0,V11), sum-{F}(V10,V1,V12), sum-{F}(V13,V11,V1), sum-{F}(V12,V4,V14), sum-{F}(V13,V14,V8) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #672: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #659 ), references = 1, size of lhs = 18:
% 2.86/3.06 P_a-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_u-{F}(V5), sum-{F}(V1,V6,V4), sum-{F}(V0,V6,V7), sum-{F}(V4,V8,V7), sum-{F}(V9,V3,V3), sum-{F}(V1,V9,V10), sum-{F}(V10,V8,V0), sum-{F}(V11,V0,V12), sum-{F}(V11,V1,V13), sum-{F}(V14,V12,V1), sum-{F}(V13,V4,V15), sum-{F}(V14,V15,V9) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #678: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V4 == V9; #660 ), references = 1, size of lhs = 21:
% 2.86/3.06 defined-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), sum-{F}(V2,V5,V5), sum-{F}(V2,V6,V1), sum-{F}(V0,V6,V7), sum-{F}(V2,V8,V9), sum-{F}(V10,V8,V11), sum-{F}(V12,V10,V7), sum-{F}(V13,V10,V4), sum-{F}(V9,V14,V13), sum-{F}(V14,V11,V4), sum-{F}(V15,V0,V16), sum-{F}(V15,V2,V17), sum-{F}(V18,V16,V2), sum-{F}(V17,V12,V19), sum-{F}(V18,V19,V14) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #690: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V5 == V9; #682 ), references = 1, size of lhs = 16:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_c-{F}(V5), sum-{F}(V2,V6,V5), sum-{F}(V1,V6,V7), sum-{F}(V5,V8,V7), sum-{F}(V2,V2,V9), sum-{F}(V9,V8,V1), sum-{F}(V10,V1,V0), sum-{F}(V10,V2,V11), sum-{F}(V11,V5,V0) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #696: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V8, V5 == V9; #683 ), references = 1, size of lhs = 17:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_c-{F}(V5), P_u-{F}(V6), sum-{F}(V2,V7,V5), sum-{F}(V1,V7,V8), sum-{F}(V5,V9,V8), sum-{F}(V2,V2,V10), sum-{F}(V10,V9,V1), sum-{F}(V11,V1,V0), sum-{F}(V11,V2,V12), sum-{F}(V12,V5,V0) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #702: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V9, V4 == V10; #684 ), references = 1, size of lhs = 20:
% 2.86/3.06 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), sum-{F}(V3,V6,V6), sum-{F}(V3,V7,V2), sum-{F}(V1,V7,V8), sum-{F}(V9,V1,V0), sum-{F}(V9,V3,V10), sum-{F}(V10,V11,V0), sum-{F}(V11,V12,V8), sum-{F}(V13,V12,V5), sum-{F}(V14,V3,V13), sum-{F}(V3,V15,V14), sum-{F}(V12,V15,V16), sum-{F}(V3,V16,V5) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #872: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #866 ), references = 2, size of lhs = 16:
% 2.86/3.06 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_b-{F}(V5), P_c-{F}(V6), P_u-{F}(V7), P_v-{F}(V8), sum-{F}(V9,V0,V4), sum-{F}(V10,V1,V9), less_or_equal-{F}(V10,V11), sum-{F}(V12,V0,V13), sum-{F}(V13,V1,V14), sum-{F}(V15,V12,V11), sum-{F}(V15,V14,V5) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #884: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V8; #879 ), references = 1, size of lhs = 14:
% 2.86/3.06 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), sum-{F}(V2,V1,V4), P_b-{F}(V5), P_c-{F}(V6), P_u-{F}(V7), P_v-{F}(V8), sum-{F}(V9,V2,V5), less_or_equal-{F}(V0,V10), sum-{F}(V11,V1,V0), sum-{F}(V9,V11,V10) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #911: mergings( V1 == V5, V5 == V11, V11 == V12, V12 == V18, V18 == V19, V19 == V21, V21 == V22, V2 == V6, V6 == V13, V13 == V20, V20 == V23, V3 == V7, V7 == V14, V14 == V24, V4 == V8, V8 == V15, V15 == V25, V9 == V16, V16 == V26, V10 == V17, V17 == V27; #889 ), references = 1, size of lhs = 10:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_u-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V0), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), sum-{F}(V4,V2,V4), P_c-{F}(V5) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #938: mergings( V1 == V6, V6 == V10, V10 == V15, V15 == V16, V16 == V21, V21 == V22, V22 == V24, V24 == V25, V2 == V7, V7 == V11, V11 == V17, V17 == V23, V23 == V26, V3 == V8, V8 == V12, V12 == V18, V18 == V27, V4 == V9, V9 == V13, V13 == V19, V19 == V28, V5 == V14, V14 == V20, V20 == V29; #913 ), references = 1, size of lhs = 8:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), sum-{F}(V3,V1,V3), P_c-{F}(V4) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #961: mergings( V1 == V5, V5 == V9, V9 == V13, V13 == V14, V14 == V18, V18 == V19, V19 == V21, V21 == V22, V2 == V6, V6 == V10, V10 == V15, V15 == V20, V20 == V23, V3 == V7, V7 == V11, V11 == V16, V16 == V24, V4 == V8, V8 == V12, V12 == V17, V17 == V25; #939 ), references = 1, size of lhs = 7:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), sum-{F}(V3,V1,V3) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #987: mergings( V1 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V15, V15 == V18, V18 == V19, V19 == V21, V21 == V22, V2 == V6, V6 == V9, V9 == V12, V12 == V16, V16 == V20, V20 == V23, V3 == V7, V7 == V10, V10 == V13, V13 == V17, V17 == V24; #965 ), references = 2, size of lhs = 5:
% 2.86/3.06 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #993: mergings( V1 == V3, V2 == V4; #990 ), references = 1, size of lhs = 2:
% 2.86/3.06 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #996: mergings( V1 == V2; #994 ), references = 1, size of lhs = 1:
% 2.86/3.06 P_additive_identity-{F}(V0) | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 #998: exists( #35, #994 ), references = 1, size of lhs = 0:
% 2.86/3.06 FALSE | FALSE
% 2.86/3.06 (used 0 times, uses = {})
% 2.86/3.06
% 2.86/3.06 number of learnt formulas = 35
% 2.86/3.06
% 2.86/3.06
% 2.86/3.06 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.86/3.06
% 2.86/3.06 randbase = 1
%------------------------------------------------------------------------------