TSTP Solution File: FLD013-5 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:01:03 EDT 2022
% Result : Unsatisfiable 0.47s 0.70s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD013-5 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 10:17:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.70 GeoParameters:
% 0.47/0.70
% 0.47/0.70 tptp_input = 1
% 0.47/0.70 tptp_output = 0
% 0.47/0.70 nonempty = 1
% 0.47/0.70 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 RuleSystem INPUT:
% 0.47/0.70
% 0.47/0.70 Initial Rules:
% 0.47/0.70 #0: input, references = 9, size of lhs = 3:
% 0.47/0.70 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #1: input, references = 14, size of lhs = 3:
% 0.47/0.70 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #2: input, references = 9, size of lhs = 2:
% 0.47/0.70 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #3: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #4: input, references = 13, size of lhs = 2:
% 0.47/0.70 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #5: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #6: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #7: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #8: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #9: input, references = 3, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #10: input, references = 3, size of lhs = 6:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #11: input, references = 3, size of lhs = 6:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #12: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #13: input, references = 4, size of lhs = 2:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #14: input, references = 3, size of lhs = 4:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #15: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #16: input, references = 3, size of lhs = 2:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #17: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #18: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #19: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #20: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #21: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #22: input, references = 3, size of lhs = 4:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #23: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #24: input, references = 3, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #25: input, references = 7, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #26: input, references = 4, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #27: input, references = 3, size of lhs = 4:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #28: input, references = 5, size of lhs = 5:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #29: input, references = 5, size of lhs = 6:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #30: input, references = 3, size of lhs = 7:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #31: input, references = 3, size of lhs = 8:
% 0.47/0.70 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)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #32: input, references = 8, size of lhs = 8:
% 0.47/0.70 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) | sum-{T}(V0,V2,V3)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #33: input, references = 12, size of lhs = 8:
% 0.47/0.70 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) | sum-{T}(V0,V4,V5)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #34: input, references = 7, size of lhs = 8:
% 0.47/0.70 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) | sum-{T}(V2,V4,V6)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #35: input, references = 6, size of lhs = 8:
% 0.47/0.70 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) | sum-{T}(V5,V3,V7)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #36: input, references = 6, size of lhs = 9:
% 0.47/0.70 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), sum-{F}(V0,V6,V7) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #37: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #38: input, references = 3, size of lhs = 1:
% 0.47/0.70 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #39: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #40: input, references = 3, size of lhs = 1:
% 0.47/0.70 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #41: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #42: input, references = 3, size of lhs = 2:
% 0.47/0.70 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #43: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #44: input, references = 4, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #45: input, references = 6, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #46: input, references = 8, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #47: input, references = 12, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_u-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #48: input, references = 14, size of lhs = 0:
% 0.47/0.70 FALSE | EXISTS V0: P_v-{T}(V0)
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of initial rules = 49
% 0.47/0.70
% 0.47/0.70 Simplifiers:
% 0.47/0.70 #49: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #50: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #51: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #52: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #53: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #54: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #55: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #56: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #57: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #58: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #59: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #60: unsound, references = 3, size of lhs = 3:
% 0.47/0.70 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of simplifiers = 12
% 0.47/0.70
% 0.47/0.70 Learnt:
% 0.47/0.70 #66: mergings( V1 == V5; #64 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V3), P_u-{F}(V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #69: mergings( V1 == V5; #67 ), references = 1, size of lhs = 6:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #79: mergings( V1 == V6, V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12, V10 == V7; #71 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_additive_identity-{F}(V0), P_d-{F}(V0), P_u-{F}(V1), P_b-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #85: mergings( V1 == V7, V2 == V8; #82 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V4,V0,V6), sum-{F}(V6,V2,V5) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #110: mergings( V1 == V7, V7 == V13, V13 == V14, V14 == V15, V2 == V8, V8 == V16, V3 == V9, V9 == V17, V17 == V4, V4 == V18, V5 == V10, V10 == V19, V6 == V11, V11 == V20, V12 == V21; #94 ), references = 2, size of lhs = 8:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V3,V0,V4), P_d-{F}(V4), P_u-{F}(V5) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #126: mergings( V1 == V7, V7 == V12, V12 == V13, V13 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V16 == V4, V4 == V17, V5 == V10, V10 == V18, V6 == V11, V11 == V19; #111 ), references = 3, size of lhs = 7:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V3,V0,V4), P_d-{F}(V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #135: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V8; #129 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_c-{F}(V0), P_additive_identity-{F}(V0), P_u-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V3), P_d-{F}(V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #142: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V7; #136 ), references = 1, size of lhs = 6:
% 0.47/0.70 P_c-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_d-{F}(V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #149: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V7; #143 ), references = 1, size of lhs = 5:
% 0.47/0.70 P_c-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #161: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V9, V5 == V10; #154 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_u-{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_d-{F}(V5), sum-{F}(V6,V1,V4), sum-{F}(V1,V6,V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #168: mergings( V1 == V7, V2 == V8, V3 == V9, V4 == V9, V5 == V10, V6 == V12; #155 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), P_u-{F}(V5), sum-{F}(V6,V0,V3), sum-{F}(V0,V6,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #176: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V8, V5 == V9; #169 ), references = 1, size of lhs = 8:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V0,V3), sum-{F}(V0,V5,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #182: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V8, V5 == V9; #170 ), references = 1, size of lhs = 8:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V0,V3), sum-{F}(V0,V5,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #190: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V8, V5 == V9; #183 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V4,V0,V3), sum-{F}(V0,V4,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #212: mergings( V1 == V5, V5 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11, V4 == V8, V8 == V11; #202 ), references = 1, size of lhs = 4:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #218: mergings( V1 == V4, V2 == V8; #215 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_u-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V1,V1,V6), sum-{F}(V6,V0,V5) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #222: mergings( V1 == V4, V2 == V7; #219 ), references = 1, size of lhs = 8:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_d-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V1,V1,V5), sum-{F}(V5,V0,V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #226: mergings( V1 == V4, V2 == V6; #223 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V1,V1,V4), sum-{F}(V4,V0,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #230: mergings( V1 == V4, V2 == V5; #227 ), references = 1, size of lhs = 6:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), sum-{F}(V1,V1,V3), sum-{F}(V3,V0,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #257: mergings( V1 == V7, V7 == V13, V13 == V20, V20 == V21, V2 == V8, V8 == V14, V14 == V22, V9 == V15, V3 == V10, V10 == V16, V4 == V11, V11 == V17, V16 == V5, V5 == V18, V6 == V12, V12 == V19; #240 ), references = 1, size of lhs = 14:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V1), P_c-{F}(V2), P_u-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V4,V6,V2), sum-{F}(V0,V7,V5), sum-{F}(V2,V8,V7), sum-{F}(V9,V4,V8), sum-{F}(V6,V9,V10), sum-{F}(V2,V10,V11), sum-{F}(V4,V11,V4) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #273: mergings( V1 == V6, V6 == V11, V11 == V17, V17 == V18, V2 == V7, V7 == V12, V12 == V19, V8 == V13, V3 == V9, V9 == V14, V4 == V10, V10 == V15, V14 == V5, V5 == V16; #258 ), references = 1, size of lhs = 13:
% 0.47/0.70 P_a-{F}(V0), P_b-{F}(V1), P_d-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V3,V5,V2), sum-{F}(V0,V6,V4), sum-{F}(V2,V7,V6), sum-{F}(V8,V3,V7), sum-{F}(V5,V8,V9), sum-{F}(V2,V9,V10), sum-{F}(V3,V10,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #313: mergings( V1 == V7, V7 == V13, V13 == V20, V20 == V21, V21 == V22, V2 == V8, V8 == V14, V14 == V23, V3 == V9, V9 == V15, V15 == V24, V10 == V16, V16 == V25, V4 == V11, V11 == V17, V17 == V26, V5 == V12, V12 == V18, V18 == V27, V6 == V19, V19 == V28; #291 ), references = 3, size of lhs = 11:
% 0.47/0.70 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), sum-{F}(V7,V0,V5), sum-{F}(V8,V7,V4), sum-{F}(V9,V8,V2), sum-{F}(V0,V9,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #334: mergings( V1 == V6, V6 == V12, V12 == V18, V18 == V19, V19 == V20, V2 == V7, V7 == V13, V13 == V21, V3 == V8, V8 == V14, V14 == V22, V9 == V15, V15 == V23, V4 == V10, V10 == V16, V16 == V24, V5 == V11, V11 == V17, V17 == V25; #314 ), references = 3, size of lhs = 10:
% 0.47/0.70 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), sum-{F}(V6,V0,V5), sum-{F}(V7,V6,V4), sum-{F}(V8,V7,V2), sum-{F}(V0,V8,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #344: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #337 ), references = 1, size of lhs = 10:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_u-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_d-{F}(V5), sum-{F}(V6,V0,V0), sum-{F}(V7,V6,V3), sum-{F}(V0,V7,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #351: mergings( V1 == V5, V2 == V7, V3 == V8, V4 == V9, V5 == V10, V6 == V12; #338 ), references = 1, size of lhs = 10:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_u-{F}(V5), sum-{F}(V6,V0,V0), sum-{F}(V7,V6,V2), sum-{F}(V0,V7,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #359: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8, V5 == V9; #352 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V0,V0), sum-{F}(V6,V5,V2), sum-{F}(V0,V6,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #365: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8, V5 == V9; #353 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V0,V0), sum-{F}(V6,V5,V2), sum-{F}(V0,V6,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #373: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8, V5 == V9; #366 ), references = 1, size of lhs = 8:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V4,V0,V0), sum-{F}(V5,V4,V2), sum-{F}(V0,V5,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #379: mergings( V1 == V5, V2 == V6, V3 == V7, V4 == V8, V5 == V9; #367 ), references = 1, size of lhs = 8:
% 0.47/0.70 P_additive_identity-{F}(V0), P_c-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V4,V0,V0), sum-{F}(V5,V4,V2), sum-{F}(V0,V5,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #407: mergings( V1 == V8, V8 == V15, V15 == V16, V2 == V9, V9 == V17, V3 == V10, V10 == V18, V4 == V11, V11 == V19, V5 == V12, V12 == V20, V6 == V13, V13 == V21, V7 == V14; #391 ), references = 1, size of lhs = 12:
% 0.47/0.70 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), sum-{F}(V6,V1,V6), sum-{F}(V1,V1,V7), sum-{F}(V7,V5,V5), sum-{F}(V1,V1,V8), sum-{F}(V8,V3,V3) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #423: mergings( V1 == V8, V8 == V15, V15 == V16, V2 == V9, V9 == V17, V3 == V10, V10 == V18, V4 == V11, V11 == V19, V5 == V12, V12 == V20, V6 == V13, V13 == V21, V7 == V14, V14 == V22; #392 ), references = 1, size of lhs = 12:
% 0.47/0.70 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), sum-{F}(V5,V0,V5), P_u-{F}(V6), sum-{F}(V0,V0,V7), sum-{F}(V7,V4,V4), sum-{F}(V0,V0,V8), sum-{F}(V8,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #439: mergings( V1 == V7, V7 == V13, V13 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V5 == V11, V11 == V18, V6 == V12, V12 == V19; #424 ), references = 2, size of lhs = 11:
% 0.47/0.70 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), sum-{F}(V5,V0,V5), sum-{F}(V0,V0,V6), sum-{F}(V6,V4,V4), sum-{F}(V0,V0,V7), sum-{F}(V7,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #453: mergings( V1 == V7, V7 == V13, V13 == V14, V2 == V8, V8 == V15, V3 == V9, V9 == V16, V4 == V10, V10 == V17, V5 == V11, V11 == V18, V6 == V12, V12 == V19; #425 ), references = 2, size of lhs = 11:
% 0.47/0.70 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), sum-{F}(V5,V0,V5), sum-{F}(V0,V0,V6), sum-{F}(V6,V4,V4), sum-{F}(V0,V0,V7), sum-{F}(V7,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #468: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #460 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V0,V0,V5), sum-{F}(V5,V4,V4), sum-{F}(V0,V0,V6), sum-{F}(V6,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #475: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V10, V5 == V11; #461 ), references = 1, size of lhs = 9:
% 0.47/0.70 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V0,V0,V5), sum-{F}(V5,V4,V4), sum-{F}(V0,V0,V6), sum-{F}(V6,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #492: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V9, V9 == V14; #480 ), references = 1, size of lhs = 7:
% 0.47/0.70 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V0,V0,V4), sum-{F}(V4,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #507: mergings( V1 == V4, V4 == V5, V5 == V8, V8 == V9, V2 == V6, V6 == V10, V3 == V7, V7 == V11; #497 ), references = 2, size of lhs = 6:
% 0.47/0.70 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V0,V0,V3), sum-{F}(V3,V2,V2) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #518: mergings( V1 == V3, V3 == V4, V2 == V5; #514 ), references = 1, size of lhs = 3:
% 0.47/0.70 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #523: mergings( V1 == V2; #521 ), references = 1, size of lhs = 1:
% 0.47/0.70 P_additive_identity-{F}(V0) | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 #525: exists( #37, #521 ), references = 1, size of lhs = 0:
% 0.47/0.70 FALSE | FALSE
% 0.47/0.70 (used 0 times, uses = {})
% 0.47/0.70
% 0.47/0.70 number of learnt formulas = 40
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.70
% 0.47/0.70 randbase = 1
%------------------------------------------------------------------------------