TSTP Solution File: FLD025-3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 6.20s 6.35s
% Output : Refutation 6.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD025-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n016.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 10:36:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.20/6.35 GeoParameters:
% 6.20/6.35
% 6.20/6.35 tptp_input = 1
% 6.20/6.35 tptp_output = 0
% 6.20/6.35 nonempty = 1
% 6.20/6.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.20/6.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.20/6.35
% 6.20/6.35
% 6.20/6.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.20/6.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.20/6.35
% 6.20/6.35 RuleSystem INPUT:
% 6.20/6.35
% 6.20/6.35 Initial Rules:
% 6.20/6.35 #0: input, references = 3, size of lhs = 3:
% 6.20/6.35 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #1: input, references = 3, size of lhs = 3:
% 6.20/6.35 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #2: input, references = 3, size of lhs = 2:
% 6.20/6.35 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #3: input, references = 3, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #4: input, references = 3, size of lhs = 2:
% 6.20/6.35 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #5: input, references = 5, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #6: input, references = 4, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #7: input, references = 5, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #8: input, references = 3, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #9: input, references = 6, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #10: input, references = 3, size of lhs = 6:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #11: input, references = 3, size of lhs = 6:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #12: input, references = 3, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #13: input, references = 3, size of lhs = 2:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #14: input, references = 3, size of lhs = 4:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #15: input, references = 3, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #16: input, references = 4, size of lhs = 2:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #17: input, references = 3, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #18: input, references = 3, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #19: input, references = 5, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #20: input, references = 4, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #21: input, references = 3, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #22: input, references = 4, size of lhs = 4:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #23: input, references = 4, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #24: input, references = 4, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #25: input, references = 4, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #26: input, references = 4, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #27: input, references = 3, size of lhs = 4:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #28: input, references = 4, size of lhs = 5:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #29: input, references = 3, size of lhs = 6:
% 6.20/6.35 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)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #30: input, references = 5, size of lhs = 6:
% 6.20/6.35 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-{T}(V1,V2,V3)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #31: input, references = 4, size of lhs = 6:
% 6.20/6.35 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-{T}(V1,V4,V5)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #32: input, references = 5, size of lhs = 8:
% 6.20/6.35 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_multiply-{F}(V2,V4,V6), product-{F}(V5,V3,V6) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #33: input, references = 4, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #34: input, references = 3, size of lhs = 1:
% 6.20/6.35 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #35: input, references = 4, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #36: input, references = 3, size of lhs = 1:
% 6.20/6.35 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #37: input, references = 3, size of lhs = 2:
% 6.20/6.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #38: input, references = 5, size of lhs = 2:
% 6.20/6.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #39: input, references = 4, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #40: input, references = 4, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #41: input, references = 5, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_c-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #42: input, references = 5, size of lhs = 0:
% 6.20/6.35 FALSE | EXISTS V0: P_d-{T}(V0)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 number of initial rules = 43
% 6.20/6.35
% 6.20/6.35 Simplifiers:
% 6.20/6.35 #43: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #44: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #45: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #46: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #47: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #48: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #49: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #50: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #51: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #52: unsound, references = 3, size of lhs = 3:
% 6.20/6.35 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 number of simplifiers = 10
% 6.20/6.35
% 6.20/6.35 Learnt:
% 6.20/6.35 #105: mergings( V0 == V2, V2 == V4, V1 == V3, V3 == V5, V5 == V6, V6 == V7; #98 ), references = 1, size of lhs = 7:
% 6.20/6.35 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V3), product-{F}(V3,V3,V1) | less_or_equal-{T}(V0,V1)
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #137: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #132 ), references = 1, size of lhs = 8:
% 6.20/6.35 defined-{F}(V0), P_d-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #297: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6, V6 == V9; #291 ), references = 1, size of lhs = 10:
% 6.20/6.35 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), P_d-{F}(V5), product-{F}(V6,V4,V1), product-{F}(V0,V6,V5) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #312: mergings( V1 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V14, V2 == V6, V6 == V8, V8 == V12, V12 == V15, V3 == V10, V4 == V16; #300 ), references = 3, size of lhs = 8:
% 6.20/6.35 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), product-{F}(V3,V4,V1) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #319: mergings( V1 == V6, V2 == V7, V3 == V5, V4 == V8; #314 ), references = 2, size of lhs = 6:
% 6.20/6.35 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), product-{F}(V2,V3,V0) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #332: mergings( V1 == V5, V5 == V7, V2 == V8, V3 == V6; #326 ), references = 1, size of lhs = 8:
% 6.20/6.35 P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), product-{F}(V3,V3,V5), product-{F}(V5,V1,V1) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #338: mergings( V1 == V5, V5 == V8, V2 == V9, V3 == V7, V4 == V6; #327 ), references = 1, size of lhs = 9:
% 6.20/6.35 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_b-{F}(V4), product-{F}(V3,V3,V5), product-{F}(V5,V1,V1) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #346: mergings( V1 == V4, V4 == V6, V2 == V7, V3 == V5; #340 ), references = 1, size of lhs = 7:
% 6.20/6.35 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), product-{F}(V2,V2,V4), product-{F}(V4,V0,V0) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #360: mergings( V1 == V4, V4 == V6, V2 == V7, V3 == V5; #354 ), references = 2, size of lhs = 6:
% 6.20/6.35 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), product-{F}(V2,V2,V3), product-{F}(V3,V0,V0) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #375: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #370 ), references = 1, size of lhs = 3:
% 6.20/6.35 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #383: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #378 ), references = 1, size of lhs = 1:
% 6.20/6.35 P_additive_identity-{F}(V0) | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 #385: exists( #33, #378 ), references = 1, size of lhs = 0:
% 6.20/6.35 FALSE | FALSE
% 6.20/6.35 (used 0 times, uses = {})
% 6.20/6.35
% 6.20/6.35 number of learnt formulas = 12
% 6.20/6.35
% 6.20/6.35
% 6.20/6.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.20/6.35
% 6.20/6.35 randbase = 1
%------------------------------------------------------------------------------