TSTP Solution File: FLD017-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD017-1 : 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 06:01:04 EDT 2022
% Result : Unsatisfiable 1.31s 1.50s
% Output : Refutation 1.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : FLD017-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 10:11:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.31/1.50 GeoParameters:
% 1.31/1.50
% 1.31/1.50 tptp_input = 1
% 1.31/1.50 tptp_output = 0
% 1.31/1.50 nonempty = 1
% 1.31/1.50 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.31/1.50
% 1.31/1.50
% 1.31/1.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50
% 1.31/1.50 RuleSystem INPUT:
% 1.31/1.50
% 1.31/1.50 Initial Rules:
% 1.31/1.50 #0: input, references = 4, size of lhs = 7:
% 1.31/1.50 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #1: input, references = 8, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #2: input, references = 6, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #3: input, references = 8, size of lhs = 5:
% 1.31/1.50 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #4: input, references = 3, size of lhs = 8:
% 1.31/1.50 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #5: input, references = 3, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #6: input, references = 3, size of lhs = 5:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #7: input, references = 3, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #8: input, references = 3, size of lhs = 10:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #9: input, references = 3, size of lhs = 5:
% 1.31/1.50 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)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #10: input, references = 3, size of lhs = 2:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #11: input, references = 3, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #12: input, references = 3, size of lhs = 5:
% 1.31/1.50 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)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #13: input, references = 3, size of lhs = 2:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #14: input, references = 3, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #15: input, references = 7, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #16: input, references = 5, size of lhs = 4:
% 1.31/1.50 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)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #17: input, references = 7, size of lhs = 4:
% 1.31/1.50 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)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #18: input, references = 8, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #19: input, references = 4, size of lhs = 5:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #20: input, references = 3, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #21: input, references = 18, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #22: input, references = 21, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #23: input, references = 9, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #24: input, references = 3, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #25: input, references = 10, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #26: input, references = 6, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #27: input, references = 3, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #28: input, references = 4, size of lhs = 4:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #29: input, references = 3, size of lhs = 5:
% 1.31/1.50 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)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #30: input, references = 3, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_x-{F}(V5) | defined-{T}(V5)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #31: input, references = 5, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_x-{F}(V5) | equalish-{T}(V2,V5)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #32: input, references = 9, size of lhs = 7:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), P_add-{F}(V2,V3,V6) | equalish-{T}(V6,V4)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #33: input, references = 6, size of lhs = 9:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), P_add-{F}(V2,V3,V6), P_add-{F}(V5,V3,V7), equalish-{F}(V7,V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #34: input, references = 27, size of lhs = 2:
% 1.31/1.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #35: input, references = 4, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #36: input, references = 3, size of lhs = 1:
% 1.31/1.50 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #37: input, references = 3, size of lhs = 2:
% 1.31/1.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #38: input, references = 4, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #39: input, references = 3, size of lhs = 1:
% 1.31/1.50 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #40: input, references = 4, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #41: input, references = 4, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #42: input, references = 4, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_c-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #43: input, references = 5, size of lhs = 0:
% 1.31/1.50 FALSE | EXISTS V0: P_x-{T}(V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 number of initial rules = 44
% 1.31/1.50
% 1.31/1.50 Simplifiers:
% 1.31/1.50 #44: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #45: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #46: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #47: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #48: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #49: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #50: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #51: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #52: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #53: unsound, references = 3, size of lhs = 3:
% 1.31/1.50 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 number of simplifiers = 10
% 1.31/1.50
% 1.31/1.50 Learnt:
% 1.31/1.50 #72: mergings( V3 == V6, V4 == V7, V5 == V0; #68 ), references = 1, size of lhs = 6:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_x-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #126: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V1 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17; #110 ), references = 2, size of lhs = 11:
% 1.31/1.50 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V2,V3), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V1,V4), less_or_equal-{F}(V5,V6), P_add-{F}(V6,V1,V7), less_or_equal-{F}(V7,V2) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #128: exists( #34, #126 ), references = 2, size of lhs = 8:
% 1.31/1.50 P_multiplicative_identity-{F}(V0), defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V2,V3), P_add-{F}(V3,V0,V4), less_or_equal-{F}(V4,V1) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #142: mergings( V3 == V7, V7 == V9, V9 == V11, V4 == V1, V1 == V8, V8 == V10; #135 ), references = 1, size of lhs = 11:
% 1.31/1.50 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_c-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V1), less_or_equal-{F}(V2,V4), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V5,V0) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #154: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V10, V1 == V3, V3 == V5, V5 == V6, V6 == V9, V9 == V11; #144 ), references = 1, size of lhs = 9:
% 1.31/1.50 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), defined-{F}(V1), P_multiply-{F}(V0,V0,V1), P_multiplicative_identity-{F}(V1), P_x-{F}(V2) | less_or_equal-{T}(V0,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #161: mergings( V0 == V2, V1 == V3; #157 ), references = 2, size of lhs = 10:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), P_a-{F}(V1), P_b-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_c-{F}(V2), less_or_equal-{F}(V2,V0), P_x-{F}(V3) | less_or_equal-{T}(V1,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #207: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #189 ), references = 2, size of lhs = 9:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), P_multiplicative_identity-{F}(V2), equalish-{F}(V0,V3), equalish-{F}(V3,V2), less_or_equal-{F}(V4,V1), P_add-{F}(V4,V0,V5), equalish-{F}(V5,V1) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #212: mergings( V3 == V5, V4 == V7; #209 ), references = 2, size of lhs = 11:
% 1.31/1.50 P_a-{F}(V0), P_b-{F}(V1), defined-{F}(V1), P_c-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V0,V2), P_x-{F}(V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V1,V5), equalish-{F}(V5,V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #223: mergings( V0 == V3, V3 == V2, V2 == V7, V1 == V4, V4 == V5, V5 == V8, V8 == V10, V6 == V9; #214 ), references = 1, size of lhs = 10:
% 1.31/1.50 defined-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V1) | less_or_equal-{T}(V0,V0)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #241: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V14, V4 == V13; #228 ), references = 1, size of lhs = 7:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), P_b-{F}(V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #276: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #263 ), references = 2, size of lhs = 7:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #291: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #278 ), references = 1, size of lhs = 6:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V2), equalish-{F}(V1,V2) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #329: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20; #315 ), references = 4, size of lhs = 13:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_add-{F}(V4,V3,V5), equalish-{F}(V2,V5), P_multiplicative_identity-{F}(V6), equalish-{F}(V4,V6), equalish-{F}(V7,V0), P_add-{F}(V7,V1,V8), equalish-{F}(V8,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #338: mergings( V3 == V7, V4 == V9; #335 ), references = 4, size of lhs = 15:
% 1.31/1.50 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V1), defined-{F}(V1), P_c-{F}(V2), P_x-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V4,V2), P_multiplicative_identity-{F}(V6), equalish-{F}(V5,V6), equalish-{F}(V7,V1), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #361: mergings( V3 == V5, V5 == V11, V6 == V13; #357 ), references = 1, size of lhs = 18:
% 1.31/1.50 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_a-{F}(V3), defined-{F}(V3), P_b-{F}(V4), defined-{F}(V4), P_c-{F}(V5), P_x-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V7,V5), P_multiplicative_identity-{F}(V9), equalish-{F}(V8,V9), equalish-{F}(V10,V4), P_add-{F}(V10,V3,V2) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #366: mergings( V3 == V4, V4 == V9, V5 == V11; #362 ), references = 1, size of lhs = 15:
% 1.31/1.50 defined-{F}(V0), P_a-{F}(V1), P_additive_inverse-{F}(V1,V0), defined-{F}(V1), P_b-{F}(V2), defined-{F}(V2), equalish-{F}(V0,V2), P_c-{F}(V3), P_x-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V3), P_multiplicative_identity-{F}(V7), equalish-{F}(V6,V7) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #373: mergings( V7 == V12, V8 == V14; #370 ), references = 1, size of lhs = 20:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_a-{F}(V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_b-{F}(V6), defined-{F}(V6), equalish-{F}(V3,V6), P_c-{F}(V7), P_x-{F}(V8), defined-{F}(V9), P_additive_identity-{F}(V9), equalish-{F}(V5,V9), defined-{F}(V10), P_add-{F}(V10,V9,V7), P_multiplicative_identity-{F}(V11), equalish-{F}(V10,V11) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #402: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V21; #390 ), references = 1, size of lhs = 20:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_a-{F}(V3), defined-{F}(V3), P_b-{F}(V4), defined-{F}(V4), P_c-{F}(V5), P_x-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), P_add-{F}(V8,V7,V5), P_multiplicative_identity-{F}(V9), equalish-{F}(V8,V9), equalish-{F}(V10,V4), P_add-{F}(V10,V3,V2), equalish-{F}(V11,V0), P_add-{F}(V11,V1,V12), equalish-{F}(V12,V7) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #415: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19; #403 ), references = 1, size of lhs = 17:
% 1.31/1.50 defined-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_b-{F}(V2), defined-{F}(V2), equalish-{F}(V0,V2), P_c-{F}(V3), P_x-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V3), P_multiplicative_identity-{F}(V7), equalish-{F}(V6,V7), equalish-{F}(V8,V1), P_add-{F}(V8,V0,V9), equalish-{F}(V9,V5) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #421: mergings( V0 == V2, V1 == V4; #418 ), references = 2, size of lhs = 8:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V2), P_add-{F}(V1,V1,V4), equalish-{F}(V4,V0) | less_or_equal-{T}(V0,V1)
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #449: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V19; #437 ), references = 1, size of lhs = 17:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), less_or_equal-{F}(V3,V0), equalish-{F}(V0,V4), defined-{F}(V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V4), P_multiplicative_identity-{F}(V7), equalish-{F}(V6,V7), equalish-{F}(V8,V1), P_add-{F}(V8,V2,V9), equalish-{F}(V9,V5), less_or_equal-{F}(V5,V10), P_add-{F}(V10,V0,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #479: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V17; #469 ), references = 1, size of lhs = 17:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_identity-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V4,V6), equalish-{F}(V3,V6), P_multiplicative_identity-{F}(V7), equalish-{F}(V5,V7), P_add-{F}(V0,V2,V8), equalish-{F}(V8,V4), less_or_equal-{F}(V4,V9), P_add-{F}(V9,V0,V10), equalish-{F}(V10,V1), less_or_equal-{F}(V10,V0) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #493: mergings( V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V1, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15; #481 ), references = 1, size of lhs = 13:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V2), P_multiplicative_identity-{F}(V3), equalish-{F}(V2,V3), P_add-{F}(V0,V2,V4), equalish-{F}(V4,V1), less_or_equal-{F}(V1,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V1), less_or_equal-{F}(V6,V0) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #514: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19; #498 ), references = 1, size of lhs = 9:
% 1.31/1.50 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), equalish-{F}(V1,V1), equalish-{F}(V1,V2), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #522: exists( #34, #33 ), references = 3, size of lhs = 8:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), P_add-{F}(V5,V3,V6), equalish-{F}(V6,V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #553: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #543 ), references = 1, size of lhs = 12:
% 1.31/1.50 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_b-{F}(V6), P_c-{F}(V7), P_add-{F}(V8,V1,V7), equalish-{F}(V8,V0), P_x-{F}(V9), P_add-{F}(V9,V6,V2) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #564: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #554 ), references = 1, size of lhs = 10:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_x-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_c-{F}(V5), P_add-{F}(V6,V1,V5), equalish-{F}(V6,V0) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #592: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11, V5 == V13; #584 ), references = 1, size of lhs = 10:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), P_add-{F}(V5,V0,V6), P_add-{F}(V7,V0,V6), equalish-{F}(V7,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #602: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11, V0 == V12, V1 == V13, V5 == V15; #583 ), references = 1, size of lhs = 10:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), P_add-{F}(V5,V0,V6), P_add-{F}(V7,V0,V6), equalish-{F}(V7,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #612: mergings( V3 == V6, V6 == V8, V8 == V10, V4 == V7, V7 == V9, V9 == V11, V5 == V0; #603 ), references = 1, size of lhs = 8:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), equalish-{F}(V5,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #621: mergings( V3 == V7, V7 == V9, V9 == V11, V4 == V8, V8 == V10, V10 == V12, V5 == V13, V6 == V0; #604 ), references = 1, size of lhs = 8:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_x-{F}(V5), equalish-{F}(V5,V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #640: mergings( V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V2 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V3 == V11, V4 == V17; #626 ), references = 1, size of lhs = 6:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #654: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V3 == V10; #641 ), references = 2, size of lhs = 5:
% 1.31/1.50 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #660: mergings( V1 == V4, V2 == V5, V3 == V6; #656 ), references = 1, size of lhs = 3:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #664: mergings( V1 == V3, V2 == V4; #661 ), references = 1, size of lhs = 2:
% 1.31/1.50 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #667: mergings( V1 == V2; #665 ), references = 1, size of lhs = 1:
% 1.31/1.50 P_additive_identity-{F}(V0) | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 #669: exists( #35, #665 ), references = 1, size of lhs = 0:
% 1.31/1.50 FALSE | FALSE
% 1.31/1.50 (used 0 times, uses = {})
% 1.31/1.50
% 1.31/1.50 number of learnt formulas = 37
% 1.31/1.50
% 1.31/1.50
% 1.31/1.50 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50
% 1.31/1.50 randbase = 1
%------------------------------------------------------------------------------