TSTP Solution File: FLD013-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD013-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 10:17:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 GeoParameters:
% 0.18/0.47
% 0.18/0.47 tptp_input = 1
% 0.18/0.47 tptp_output = 0
% 0.18/0.47 nonempty = 1
% 0.18/0.47 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.47
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.47
% 0.18/0.47 RuleSystem INPUT:
% 0.18/0.47
% 0.18/0.47 Initial Rules:
% 0.18/0.47 #0: input, references = 11, size of lhs = 3:
% 0.18/0.47 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #1: input, references = 3, size of lhs = 3:
% 0.18/0.47 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #2: input, references = 5, size of lhs = 2:
% 0.18/0.47 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #3: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #4: input, references = 7, size of lhs = 2:
% 0.18/0.47 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #5: input, references = 3, size of lhs = 4:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #6: input, references = 3, size of lhs = 4:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #7: input, references = 3, size of lhs = 3:
% 0.18/0.47 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #8: input, references = 3, size of lhs = 4:
% 0.18/0.47 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)
% 0.18/0.47 (used 0 times, uses = {})
% 0.18/0.47
% 0.18/0.47 #9: input, references = 3, size of lhs = 3:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #10: input, references = 3, size of lhs = 6:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #11: input, references = 3, size of lhs = 6:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #12: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #13: input, references = 4, size of lhs = 2:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #14: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #15: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #16: input, references = 3, size of lhs = 2:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #17: input, references = 3, size of lhs = 4:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #18: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #19: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #20: input, references = 3, size of lhs = 4:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #21: input, references = 3, size of lhs = 4:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #22: input, references = 3, size of lhs = 4:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #23: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #24: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #25: input, references = 6, size of lhs = 3:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #26: input, references = 4, size of lhs = 3:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #27: input, references = 3, size of lhs = 4:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #28: input, references = 3, size of lhs = 5:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #29: input, references = 3, size of lhs = 6:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #30: input, references = 3, size of lhs = 7:
% 0.18/0.48 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)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #31: input, references = 9, size of lhs = 7:
% 0.18/0.48 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-{T}(V0,V2,V3)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #32: input, references = 6, size of lhs = 7:
% 0.18/0.48 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-{T}(V0,V4,V5)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #33: input, references = 5, size of lhs = 7:
% 0.18/0.48 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-{T}(V2,V4,V6)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #34: input, references = 5, size of lhs = 8:
% 0.18/0.48 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}(V5,V3,V6) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #35: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #36: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #37: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #38: input, references = 3, size of lhs = 1:
% 0.18/0.48 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #39: input, references = 3, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #40: input, references = 3, size of lhs = 2:
% 0.18/0.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #41: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #42: input, references = 4, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #43: input, references = 6, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #44: input, references = 6, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_d-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #45: input, references = 8, size of lhs = 0:
% 0.18/0.48 FALSE | EXISTS V0: P_u-{T}(V0)
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of initial rules = 46
% 0.18/0.48
% 0.18/0.48 Simplifiers:
% 0.18/0.48 #46: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #47: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #48: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #49: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #50: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #51: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #52: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #53: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #54: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #55: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #56: unsound, references = 3, size of lhs = 3:
% 0.18/0.48 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of simplifiers = 11
% 0.18/0.48
% 0.18/0.48 Learnt:
% 0.18/0.48 #62: mergings( V1 == V5; #60 ), references = 1, size of lhs = 6:
% 0.18/0.48 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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #75: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V10 == V4, V5 == V11, V11 == V6; #67 ), references = 1, size of lhs = 6:
% 0.18/0.48 P_b-{F}(V0), P_a-{F}(V0), P_d-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #94: mergings( V1 == V5, V5 == V11, V11 == V12, V2 == V6, V6 == V13, V3 == V7, V7 == V14, V4 == V8, V8 == V15, V9 == V16, V10 == V17; #82 ), references = 1, size of lhs = 7:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V3,V0,V2), P_c-{F}(V4), P_d-{F}(V5) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #106: mergings( V1 == V5, V5 == V10, V10 == V11, V2 == V6, V6 == V12, V3 == V7, V7 == V13, V4 == V8, V8 == V14, V9 == V15; #95 ), references = 3, size of lhs = 6:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V3,V0,V2), P_c-{F}(V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #117: mergings( V1 == V5, V5 == V9, V9 == V10, V2 == V6, V6 == V11, V3 == V7, V7 == V12, V4 == V8, V8 == V13; #107 ), references = 3, size of lhs = 5:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V3,V0,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #129: mergings( V1 == V4, V2 == V7; #124 ), references = 1, size of lhs = 8:
% 0.18/0.48 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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #134: mergings( V1 == V4, V2 == V7, V3 == V8, V4 == V9; #125 ), references = 1, size of lhs = 8:
% 0.18/0.48 P_additive_identity-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_d-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), sum-{F}(V0,V0,V5), sum-{F}(V5,V4,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #140: mergings( V1 == V4, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #126 ), references = 1, size of lhs = 8:
% 0.18/0.48 P_additive_identity-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), sum-{F}(V0,V0,V5), sum-{F}(V5,V3,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #146: mergings( V1 == V4, V2 == V6; #141 ), references = 1, size of lhs = 7:
% 0.18/0.48 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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #151: mergings( V1 == V4, V2 == V6, V3 == V7, V4 == V8; #142 ), references = 1, size of lhs = 7:
% 0.18/0.48 P_additive_identity-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), sum-{F}(V0,V0,V4), sum-{F}(V4,V3,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #161: mergings( V1 == V4, V2 == V5; #156 ), references = 1, size of lhs = 6:
% 0.18/0.48 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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #166: mergings( V1 == V4, V2 == V5, V3 == V6, V4 == V7; #157 ), references = 1, size of lhs = 6:
% 0.18/0.48 P_additive_identity-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V0,V0,V3), sum-{F}(V3,V2,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #189: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9; #182 ), references = 1, size of lhs = 8:
% 0.18/0.48 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), sum-{F}(V2,V2,V6), sum-{F}(V6,V4,V4) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #195: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V4 == V11; #183 ), references = 1, size of lhs = 8:
% 0.18/0.48 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), sum-{F}(V1,V1,V6), sum-{F}(V6,V3,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #204: mergings( V1 == V7, V7 == V11, V2 == V8, V8 == V12, V3 == V9, V4 == V10, V10 == V5, V6 == V11; #184 ), references = 1, size of lhs = 9:
% 0.18/0.48 P_c-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_d-{F}(V2), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V2,V4), sum-{F}(V4,V2,V5), sum-{F}(V5,V1,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #211: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8; #205 ), references = 1, size of lhs = 7:
% 0.18/0.48 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,V1,V5), sum-{F}(V5,V3,V3) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #222: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #216 ), references = 1, size of lhs = 6:
% 0.18/0.48 P_additive_identity-{F}(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
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #233: mergings( V1 == V4, V4 == V5, V2 == V6, V3 == V7; #227 ), references = 2, size of lhs = 5:
% 0.18/0.48 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V0,V0,V3), sum-{F}(V3,V2,V2) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #244: mergings( V1 == V3, V3 == V4, V2 == V5; #240 ), references = 1, size of lhs = 3:
% 0.18/0.48 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #249: mergings( V1 == V2; #247 ), references = 1, size of lhs = 1:
% 0.18/0.48 P_additive_identity-{F}(V0) | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 #251: exists( #35, #247 ), references = 1, size of lhs = 0:
% 0.18/0.48 FALSE | FALSE
% 0.18/0.48 (used 0 times, uses = {})
% 0.18/0.48
% 0.18/0.48 number of learnt formulas = 21
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48
% 0.18/0.48 randbase = 1
%------------------------------------------------------------------------------