%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD016-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:01:04 EDT 2022
% Result : Unsatisfiable 1.67s 1.86s
% Output : Refutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD016-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 10:13:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.67/1.86 GeoParameters:
% 1.67/1.86
% 1.67/1.86 tptp_input = 1
% 1.67/1.86 tptp_output = 0
% 1.67/1.86 nonempty = 1
% 1.67/1.86 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.86 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.67/1.86
% 1.67/1.86
% 1.67/1.86 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.86 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.86
% 1.67/1.86 RuleSystem INPUT:
% 1.67/1.86
% 1.67/1.86 Initial Rules:
% 1.67/1.86 #0: input, references = 17, size of lhs = 3:
% 1.67/1.86 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 1.67/1.86 (used 0 times, uses = {})
% 1.67/1.86
% 1.67/1.86 #1: input, references = 11, size of lhs = 3:
% 1.67/1.86 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 1.67/1.86 (used 0 times, uses = {})
% 1.67/1.86
% 1.67/1.86 #2: input, references = 13, size of lhs = 2:
% 1.67/1.86 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 1.67/1.86 (used 0 times, uses = {})
% 1.67/1.86
% 1.67/1.86 #3: input, references = 8, size of lhs = 3:
% 1.67/1.86 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 1.67/1.86 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #4: input, references = 7, size of lhs = 2:
% 1.67/1.87 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #5: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #6: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #7: input, references = 3, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #8: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #9: input, references = 3, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #10: input, references = 3, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #11: input, references = 3, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #12: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #13: input, references = 4, size of lhs = 2:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #14: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #15: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #16: input, references = 3, size of lhs = 2:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #17: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #18: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #19: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #20: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #21: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #22: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #23: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #24: input, references = 3, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #25: input, references = 5, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #26: input, references = 4, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #27: input, references = 3, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #28: input, references = 6, size of lhs = 5:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | defined-{T}(V4)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #29: input, references = 9, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_v-{F}(V5) | defined-{T}(V5)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #30: input, references = 10, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_v-{F}(V5) | sum-{T}(V2,V4,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #31: input, references = 9, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_v-{F}(V5) | sum-{T}(V2,V5,V3)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #32: input, references = 8, size of lhs = 7:
% 1.67/1.87 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_v-{F}(V5), sum-{F}(V0,V4,V5) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #33: input, references = 4, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #34: input, references = 7, size of lhs = 1:
% 1.67/1.87 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #35: input, references = 4, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #36: input, references = 3, size of lhs = 1:
% 1.67/1.87 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #37: input, references = 3, size of lhs = 2:
% 1.67/1.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #38: input, references = 3, size of lhs = 2:
% 1.67/1.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #39: input, references = 4, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #40: input, references = 4, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #41: input, references = 6, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_u-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #42: input, references = 9, size of lhs = 0:
% 1.67/1.87 FALSE | EXISTS V0: P_v-{T}(V0)
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 number of initial rules = 43
% 1.67/1.87
% 1.67/1.87 Simplifiers:
% 1.67/1.87 #43: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #44: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #45: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #46: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #47: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #48: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #49: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #50: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #51: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #52: unsound, references = 3, size of lhs = 3:
% 1.67/1.87 P_v-{F}(V0), P_v-{F}(V1), V0 == V1 | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 number of simplifiers = 10
% 1.67/1.87
% 1.67/1.87 Learnt:
% 1.67/1.87 #93: exists( #34, #89 ), references = 2, size of lhs = 6:
% 1.67/1.87 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
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #95: mergings( V2 == V3; #92 ), references = 3, size of lhs = 10:
% 1.67/1.87 P_u-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_v-{F}(V5), sum-{F}(V1,V6,V1), sum-{F}(V0,V0,V7), sum-{F}(V7,V6,V5) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #113: mergings( V1 == V6, V6 == V10, V10 == V11, V2 == V7, V7 == V12, V3 == V8, V8 == V13, V4 == V13, V13 == V14, V5 == V9, V9 == V11; #101 ), references = 1, size of lhs = 7:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_u-{F}(V1), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #135: exists( #34, #133 ), references = 1, size of lhs = 8:
% 1.67/1.87 defined-{F}(V0), P_additive_identity-{F}(V1), P_v-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_u-{F}(V5), sum-{F}(V0,V5,V0) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #152: mergings( V2 == V3, V3 == V4, V4 == V5; #148 ), references = 2, size of lhs = 15:
% 1.67/1.87 defined-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_u-{F}(V5), P_v-{F}(V6), sum-{F}(V1,V7,V5), sum-{F}(V0,V7,V8), sum-{F}(V8,V9,V0), sum-{F}(V0,V9,V0), sum-{F}(V1,V1,V10), sum-{F}(V10,V9,V11), sum-{F}(V1,V11,V6) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #174: mergings( V1 == V6, V6 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V2 == V7, V7 == V10, V10 == V17, V3 == V11, V11 == V18, V4 == V18, V18 == V19, V5 == V8, V8 == V12, V12 == V20; #157 ), references = 1, size of lhs = 8:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_u-{F}(V3), sum-{F}(V1,V3,V3) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #195: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V14, V14 == V15, V15 == V16, V16 == V17, V2 == V6, V6 == V10, V10 == V12, V12 == V18, V3 == V7, V7 == V13, V13 == V19, V4 == V8, V8 == V19, V19 == V20; #177 ), references = 1, size of lhs = 6:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #204: mergings( V1 == V4, V2 == V6; #200 ), references = 1, size of lhs = 7:
% 1.67/1.87 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_u-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V1,V0,V4), sum-{F}(V4,V2,V3) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #207: mergings( V1 == V7, V2 == V8; #201 ), references = 1, size of lhs = 10:
% 1.67/1.87 P_a-{F}(V0), P_b-{F}(V1), P_u-{F}(V2), defined-{F}(V3), sum-{F}(V3,V1,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V4,V4,V6), sum-{F}(V6,V0,V7), sum-{F}(V7,V2,V5) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #236: mergings( V1 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V16, V2 == V7, V7 == V11, V11 == V17, V3 == V12, V12 == V18, V4 == V16, V16 == V13, V13 == V19, V5 == V9, V9 == V14, V14 == V20; #219 ), references = 1, size of lhs = 6:
% 1.67/1.87 P_additive_identity-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_u-{F}(V3), sum-{F}(V0,V3,V3) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #257: mergings( V1 == V5, V5 == V6, V6 == V10, V10 == V12, V12 == V13, V13 == V16, V16 == V17, V2 == V7, V7 == V11, V11 == V14, V14 == V18, V3 == V8, V8 == V15, V15 == V19, V4 == V9, V9 == V17, V17 == V20; #239 ), references = 1, size of lhs = 4:
% 1.67/1.87 P_additive_identity-{F}(V0), P_b-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #287: mergings( V1 == V6, V6 == V10, V10 == V15, V15 == V16, V2 == V7, V7 == V11, V11 == V18, V3 == V8, V8 == V12, V12 == V19, V4 == V13, V13 == V20, V5 == V9, V9 == V14, V14 == V16; #270 ), references = 1, size of lhs = 10:
% 1.67/1.87 P_u-{F}(V0), P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), defined-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V3,V6), sum-{F}(V6,V0,V1) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #302: mergings( V1 == V6, V6 == V10, V10 == V16, V2 == V7, V7 == V11, V11 == V17, V3 == V8, V8 == V12, V12 == V18, V4 == V13, V13 == V19, V5 == V9, V9 == V14, V14 == V20; #271 ), references = 1, size of lhs = 12:
% 1.67/1.87 defined-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_u-{F}(V5), sum-{F}(V1,V6,V5), sum-{F}(V0,V6,V0), sum-{F}(V7,V3,V0), sum-{F}(V7,V3,V8), sum-{F}(V8,V5,V0) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #377: mergings( V2 == V3; #375 ), references = 2, size of lhs = 12:
% 1.67/1.87 defined-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_u-{F}(V5), P_v-{F}(V6), sum-{F}(V1,V7,V5), sum-{F}(V0,V7,V8), sum-{F}(V0,V9,V8), sum-{F}(V1,V1,V10), sum-{F}(V10,V9,V6) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #399: mergings( V1 == V6, V6 == V9, V9 == V14, V14 == V15, V2 == V7, V7 == V10, V10 == V16, V3 == V11, V11 == V17, V4 == V12, V12 == V18, V5 == V8, V8 == V13, V13 == V19; #384 ), references = 1, size of lhs = 8:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), sum-{F}(V1,V4,V4) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #418: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V15, V15 == V16, V2 == V6, V6 == V10, V10 == V12, V12 == V17, V3 == V7, V7 == V13, V13 == V18, V4 == V8, V8 == V14, V14 == V19; #402 ), references = 1, size of lhs = 6:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #432: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V13, V2 == V5, V5 == V8, V8 == V10, V10 == V14, V3 == V6, V6 == V11, V11 == V15; #419 ), references = 2, size of lhs = 5:
% 1.67/1.87 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #437: mergings( V1 == V3, V2 == V4; #434 ), references = 1, size of lhs = 3:
% 1.67/1.87 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #442: mergings( V1 == V2; #440 ), references = 1, size of lhs = 1:
% 1.67/1.87 P_additive_identity-{F}(V0) | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 #444: exists( #33, #440 ), references = 1, size of lhs = 0:
% 1.67/1.87 FALSE | FALSE
% 1.67/1.87 (used 0 times, uses = {})
% 1.67/1.87
% 1.67/1.87 number of learnt formulas = 20
% 1.67/1.87
% 1.67/1.87
% 1.67/1.87 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.67/1.87
% 1.67/1.87 randbase = 1
%------------------------------------------------------------------------------