TSTP Solution File: BOO014-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO014-3 : TPTP v8.1.0. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 05:58:38 EDT 2022
% Result : Unsatisfiable 55.82s 56.00s
% Output : Refutation 55.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : BOO014-3 : TPTP v8.1.0. Bugfixed v2.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 08:45:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 55.82/56.00 GeoParameters:
% 55.82/56.00
% 55.82/56.00 tptp_input = 1
% 55.82/56.00 tptp_output = 0
% 55.82/56.00 nonempty = 1
% 55.82/56.00 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.82/56.00 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 55.82/56.00
% 55.82/56.00
% 55.82/56.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.82/56.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.82/56.00
% 55.82/56.00 RuleSystem INPUT:
% 55.82/56.00
% 55.82/56.00 Initial Rules:
% 55.82/56.00 #0: input, references = 35, size of lhs = 1:
% 55.82/56.00 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1: input, references = 48, size of lhs = 1:
% 55.82/56.00 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #2: input, references = 21, size of lhs = 1:
% 55.82/56.00 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #3: input, references = 70, size of lhs = 1:
% 55.82/56.00 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #4: input, references = 7, size of lhs = 2:
% 55.82/56.00 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #5: input, references = 27, size of lhs = 2:
% 55.82/56.00 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #6: input, references = 42, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #7: input, references = 3, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #8: input, references = 15, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V6,V5,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #9: input, references = 11, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V6,V7,V3), product-{F}(V6,V8,V2), sum-{F}(V8,V7,V5) | product-{T}(V6,V5,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #10: input, references = 6, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | sum-{T}(V2,V3,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #11: input, references = 3, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), product-{F}(V8,V6,V2), sum-{F}(V8,V7,V5) | product-{T}(V5,V6,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #12: input, references = 14, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V6,V5,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #13: input, references = 5, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V6,V7,V3), sum-{F}(V6,V8,V2), product-{F}(V8,V7,V5) | sum-{T}(V6,V5,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #14: input, references = 3, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V6,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | product-{T}(V2,V3,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #15: input, references = 6, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4), sum-{F}(V7,V6,V3), sum-{F}(V8,V6,V2), product-{F}(V8,V7,V5) | sum-{T}(V5,V6,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #16: input, references = 25, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #17: input, references = 3, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #18: input, references = 34, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #19: input, references = 3, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #20: input, references = 11, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #21: input, references = 9, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #22: input, references = 4, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), V4 == V2 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #23: input, references = 5, size of lhs = 7:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), product-{F}(V2,V3,V0), sum-{F}(V2,V4,V1), product-{F}(V2,V4,V0), V4 == V3 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #24: input, references = 9, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4) | sum-{T}(V2,V3,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #25: input, references = 13, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_x_inverse_times_y_inverse-{F}(V7) | product-{T}(V5,V6,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #26: input, references = 9, size of lhs = 9:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_x_inverse_times_y_inverse-{F}(V7), P_inverse-{F}(V4,V7) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #27: input, references = 4, size of lhs = 2:
% 55.82/56.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #28: input, references = 5, size of lhs = 2:
% 55.82/56.00 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #29: input, references = 4, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #30: input, references = 4, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #31: input, references = 32, size of lhs = 1:
% 55.82/56.00 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #32: input, references = 4, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_x-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #33: input, references = 6, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_y-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #34: input, references = 7, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_x_plus_y-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #35: input, references = 6, size of lhs = 0:
% 55.82/56.00 FALSE | EXISTS V0: P_x_inverse_times_y_inverse-{T}(V0)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 number of initial rules = 36
% 55.82/56.00
% 55.82/56.00 Simplifiers:
% 55.82/56.00 #36: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #37: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #38: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #39: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #40: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #41: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #42: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #43: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_x_plus_y-{F}(V0), P_x_plus_y-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #44: unsound, references = 3, size of lhs = 3:
% 55.82/56.00 P_x_inverse_times_y_inverse-{F}(V0), P_x_inverse_times_y_inverse-{F}(V1), V0 == V1 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 number of simplifiers = 9
% 55.82/56.00
% 55.82/56.00 Learnt:
% 55.82/56.00 #59: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #52 ), references = 1, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), V4 == V0 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #65: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #53 ), references = 1, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V0,V3,V4), V0 == V4 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #86: mergings( V3 == V4, V4 == V6, V5 == V7; #82 ), references = 41, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V0), sum-{F}(V3,V4,V5), product-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #91: mergings( V1 == V5, V2 == V6; #88 ), references = 2, size of lhs = 5:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V1,V4) | P_x_plus_y-{T}(V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #115: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #109 ), references = 31, size of lhs = 7:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V3), product-{F}(V2,V4,V4), sum-{F}(V4,V5,V2), product-{F}(V3,V5,V6), sum-{F}(V4,V6,V7) | P_add-{T}(V4,V3,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #120: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #110 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V3), product-{F}(V2,V4,V4), sum-{F}(V4,V5,V2), product-{F}(V3,V5,V6), sum-{F}(V4,V6,V7) | P_add-{T}(V4,V3,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #132: mergings( V0 == V2, V2 == V4, V3 == V5; #128 ), references = 1, size of lhs = 2:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #152: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V13; #143 ), references = 1, size of lhs = 6:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V0), P_x_plus_y-{F}(V1), P_x_inverse_times_y_inverse-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | P_inverse-{T}(V0,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #166: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V10, V10 == V12, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V9 == V14; #154 ), references = 1, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V2), P_x_plus_y-{F}(V2) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #171: exists( #31, #22 ), references = 2, size of lhs = 3:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | P_inverse-{T}(V3,V2)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #178: mergings( V1 == V8, V2 == V9; #175 ), references = 11, size of lhs = 8:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_inverse-{F}(V1,V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V3,V4,V7) | P_x_inverse_times_y_inverse-{T}(V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #211: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #202 ), references = 4, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V2), sum-{F}(V4,V3,V5), sum-{F}(V4,V0,V6), product-{F}(V6,V5,V7), sum-{F}(V4,V0,V8), V8 == V7 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #219: mergings( V2 == V5, V5 == V7, V7 == V9, V3 == V4, V4 == V6, V6 == V8, V8 == V10; #203 ), references = 3, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V2), sum-{F}(V4,V0,V5), sum-{F}(V4,V3,V6), sum-{F}(V4,V0,V7), product-{F}(V6,V5,V8), V8 == V7 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #235: exists( #31, #26 ), references = 6, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V2,V5), P_x_inverse_times_y_inverse-{F}(V6), P_inverse-{F}(V4,V6) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #283: mergings( V3 == V8, V8 == V10, V2 == V4, V4 == V9, V9 == V11, V5 == V12, V7 == V14, V6 == V13; #274 ), references = 4, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V4,V0), P_inverse-{F}(V2,V5), sum-{F}(V3,V5,V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #293: mergings( V3 == V8, V8 == V10, V2 == V4, V4 == V9, V9 == V11, V5 == V12, V7 == V15, V0 == V13, V6 == V14; #273 ), references = 4, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V4,V0), P_inverse-{F}(V2,V5), sum-{F}(V3,V5,V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #305: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8; #299 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V0,V2,V3), P_multiplicative_identity-{F}(V3), sum-{F}(V4,V1,V4), sum-{F}(V0,V2,V5) | P_x_plus_y-{T}(V5)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #310: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8; #300 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V0,V2,V3), P_multiplicative_identity-{F}(V3), sum-{F}(V4,V1,V4), sum-{F}(V0,V2,V5) | P_x_plus_y-{T}(V5)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #335: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V10 == V16; #321 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V1,V1), P_x-{F}(V2), sum-{F}(V2,V0,V1), P_inverse-{F}(V2,V0), sum-{F}(V2,V0,V3), P_inverse-{F}(V3,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #348: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V10 == V16; #322 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V1,V1), P_x-{F}(V2), sum-{F}(V2,V0,V1), P_inverse-{F}(V2,V0), sum-{F}(V2,V0,V3), P_inverse-{F}(V3,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #362: mergings( V2 == V6, V6 == V8, V3 == V7, V7 == V9, V4 == V10, V9 == V11, V5 == V0; #354 ), references = 2, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_inverse-{F}(V2,V1), P_y-{F}(V3), P_x_plus_y-{F}(V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #372: mergings( V1 == V2, V2 == V4, V3 == V5, V4 == V6; #367 ), references = 1, size of lhs = 4:
% 55.82/56.00 P_additive_identity-{F}(V0), P_x-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V0,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #397: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8; #391 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V1,V2,V3), P_multiplicative_identity-{F}(V3), sum-{F}(V4,V0,V4), sum-{F}(V1,V2,V5) | P_x_plus_y-{T}(V5)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #402: mergings( V1 == V3, V3 == V7, V2 == V4, V4 == V8; #392 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V1,V2,V3), P_multiplicative_identity-{F}(V3), sum-{F}(V4,V0,V4), sum-{F}(V1,V2,V5) | P_x_plus_y-{T}(V5)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #409: exists( #31, #235 ), references = 4, size of lhs = 7:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_x_inverse_times_y_inverse-{F}(V5), P_inverse-{F}(V4,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #440: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #433 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_y-{F}(V0), product-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), product-{F}(V0,V2,V2), P_x_plus_y-{F}(V3), P_inverse-{F}(V3,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #446: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #434 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_y-{F}(V0), product-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), P_x-{F}(V2), product-{F}(V0,V2,V2), P_x_plus_y-{F}(V3), P_inverse-{F}(V3,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #479: mergings( V2 == V6, V6 == V8, V3 == V7, V7 == V9, V4 == V10, V5 == V0; #471 ), references = 1, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_x_plus_y-{F}(V2), P_y-{F}(V3), P_inverse-{F}(V3,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #518: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #506 ), references = 1, size of lhs = 11:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V4,V0), product-{F}(V1,V5,V5), product-{F}(V5,V2,V2), product-{F}(V5,V6,V3), product-{F}(V1,V6,V3), sum-{F}(V2,V6,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #529: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #507 ), references = 1, size of lhs = 11:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V4), P_inverse-{F}(V4,V0), product-{F}(V1,V5,V5), product-{F}(V5,V2,V2), product-{F}(V5,V6,V3), product-{F}(V1,V6,V3), sum-{F}(V2,V6,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #588: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V8 == V15, V0 == V16, V16 == V9; #574 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_x_plus_y-{F}(V0), P_y-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_inverse-{F}(V3,V4), sum-{F}(V5,V4,V2), sum-{F}(V0,V5,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #600: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V8 == V15, V10 == V16, V9 == V0; #576 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V3), P_inverse-{F}(V2,V4), sum-{F}(V5,V4,V1), sum-{F}(V3,V5,V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #613: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V8 == V15, V10 == V17, V0 == V16, V16 == V9; #575 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_x_plus_y-{F}(V0), P_y-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_x-{F}(V3), P_inverse-{F}(V3,V4), sum-{F}(V5,V4,V2), sum-{F}(V0,V5,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #633: mergings( V2 == V3, V3 == V7, V7 == V10, V10 == V12, V4 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V13, V9 == V14; #621 ), references = 1, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_plus_y-{F}(V3), sum-{F}(V3,V2,V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #654: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #649 ), references = 1, size of lhs = 7:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V2), sum-{F}(V4,V3,V0), sum-{F}(V4,V0,V5), sum-{F}(V4,V0,V6), V6 == V0 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #693: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V8 == V15, V9 == V0; #681 ), references = 2, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_x_plus_y-{F}(V2), P_y-{F}(V3), P_inverse-{F}(V3,V4), sum-{F}(V5,V4,V1), sum-{F}(V2,V5,V2) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #705: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V0 == V15, V8 == V16, V15 == V9; #680 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_x_plus_y-{F}(V0), P_x-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_inverse-{F}(V3,V4), sum-{F}(V5,V4,V2), sum-{F}(V0,V5,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #717: mergings( V2 == V6, V6 == V11, V11 == V13, V3 == V4, V4 == V5, V5 == V7, V7 == V12, V12 == V14, V8 == V15, V10 == V16, V9 == V0; #682 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_x_plus_y-{F}(V2), P_y-{F}(V3), P_inverse-{F}(V3,V4), sum-{F}(V5,V4,V1), sum-{F}(V2,V5,V2) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #734: mergings( V2 == V3; #730 ), references = 1, size of lhs = 6:
% 55.82/56.00 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_x_plus_y-{F}(V2), P_y-{F}(V3), sum-{F}(V2,V3,V2) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #772: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V14, V14 == V16; #762 ), references = 2, size of lhs = 13:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V7,V7), product-{F}(V7,V1,V1), product-{F}(V3,V7,V8), product-{F}(V3,V6,V9), sum-{F}(V8,V4,V10), V10 == V9 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #789: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17; #776 ), references = 1, size of lhs = 8:
% 55.82/56.00 P_x-{F}(V0), P_x_inverse_times_y_inverse-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V4,V1,V1) | P_inverse-{T}(V0,V4)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #822: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V15; #812 ), references = 1, size of lhs = 14:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V5,V5), product-{F}(V5,V1,V1), sum-{F}(V3,V4,V5), product-{F}(V5,V3,V3), sum-{F}(V3,V4,V6), product-{F}(V6,V3,V3), product-{F}(V6,V0,V0), sum-{F}(V3,V4,V7) | P_inverse-{T}(V0,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #864: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20; #849 ), references = 1, size of lhs = 12:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V3,V6,V5), sum-{F}(V1,V6,V7), product-{F}(V7,V1,V1), product-{F}(V7,V5,V8), V5 == V8 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #894: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26; #872 ), references = 1, size of lhs = 11:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V1,V0,V5), product-{F}(V5,V4,V6), V4 == V6, sum-{F}(V7,V3,V1), sum-{F}(V7,V0,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #936: mergings( V2 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18, V18 == V20, V20 == V22, V22 == V24; #918 ), references = 4, size of lhs = 21:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V1,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V6,V3,V6), sum-{F}(V4,V7,V6), product-{F}(V4,V7,V5), product-{F}(V8,V4,V4), sum-{F}(V4,V9,V8), sum-{F}(V10,V5,V9), sum-{F}(V10,V5,V11), sum-{F}(V4,V11,V6), sum-{F}(V10,V0,V12), V12 == V7, product-{F}(V8,V12,V12), sum-{F}(V0,V13,V12), product-{F}(V4,V13,V14), sum-{F}(V5,V14,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #991: mergings( V2 == V3, V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V29, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V30, V19 == V26, V20 == V27; #967 ), references = 1, size of lhs = 31:
% 55.82/56.00 P_x-{F}(V0), P_inverse-{F}(V0,V1), P_y-{F}(V2), P_x_plus_y-{F}(V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V5,V5,V5), P_multiplicative_identity-{F}(V6), sum-{F}(V6,V1,V6), product-{F}(V6,V4,V4), sum-{F}(V4,V0,V6), sum-{F}(V6,V5,V6), product-{F}(V6,V6,V6), sum-{F}(V4,V7,V6), product-{F}(V4,V7,V5), sum-{F}(V8,V5,V0), sum-{F}(V6,V5,V9), product-{F}(V9,V6,V6), product-{F}(V9,V2,V2), sum-{F}(V8,V5,V10), sum-{F}(V4,V10,V11), product-{F}(V11,V4,V4), sum-{F}(V8,V2,V12), product-{F}(V11,V12,V12), sum-{F}(V0,V2,V13), V13 == V7, product-{F}(V6,V13,V13), sum-{F}(V14,V5,V12), product-{F}(V12,V15,V14), sum-{F}(V15,V10,V16), product-{F}(V12,V16,V13) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1028: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V15, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16; #1017 ), references = 2, size of lhs = 24:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), sum-{F}(V3,V6,V5), product-{F}(V3,V6,V4), sum-{F}(V5,V4,V7), product-{F}(V7,V5,V5), product-{F}(V7,V1,V1), product-{F}(V8,V3,V3), sum-{F}(V3,V9,V8), sum-{F}(V10,V4,V9), sum-{F}(V10,V4,V11), sum-{F}(V3,V11,V5), sum-{F}(V10,V0,V12), V12 == V6, product-{F}(V8,V12,V12), sum-{F}(V0,V13,V12), product-{F}(V3,V13,V14), sum-{F}(V4,V14,V4) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1087: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V14, V14 == V16, V16 == V18; #1075 ), references = 1, size of lhs = 15:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V7,V7), product-{F}(V7,V1,V1), product-{F}(V3,V7,V8), product-{F}(V9,V8,V5), product-{F}(V3,V6,V10), product-{F}(V9,V10,V11), product-{F}(V9,V4,V12), V12 == V11 | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1102: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V15, V15 == V17, V17 == V19; #1090 ), references = 1, size of lhs = 13:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V7,V7), product-{F}(V7,V1,V1), product-{F}(V3,V7,V8), product-{F}(V9,V8,V5), product-{F}(V3,V6,V10), product-{F}(V9,V10,V11) | P_multiply-{T}(V4,V9,V11)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1259: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29; #1234 ), references = 1, size of lhs = 24:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V6,V3,V6), sum-{F}(V4,V7,V6), product-{F}(V4,V7,V5), product-{F}(V8,V3,V3), sum-{F}(V3,V9,V8), sum-{F}(V10,V5,V9), sum-{F}(V10,V5,V11), sum-{F}(V3,V11,V12), product-{F}(V12,V6,V6), sum-{F}(V10,V1,V13), V7 == V13, product-{F}(V8,V13,V13), product-{F}(V6,V13,V13), product-{F}(V13,V1,V1), sum-{F}(V1,V14,V13), product-{F}(V4,V14,V15), sum-{F}(V5,V15,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1285: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V31, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V32, V12 == V27, V0 == V28, V13 == V29; #1235 ), references = 1, size of lhs = 37:
% 55.82/56.00 P_x-{F}(V0), P_inverse-{F}(V0,V1), P_y-{F}(V2), P_x_plus_y-{F}(V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V6,V1,V6), sum-{F}(V6,V5,V6), product-{F}(V6,V6,V6), sum-{F}(V6,V5,V7), product-{F}(V7,V6,V6), product-{F}(V7,V2,V2), product-{F}(V8,V4,V4), sum-{F}(V4,V9,V8), sum-{F}(V10,V5,V9), sum-{F}(V10,V5,V11), sum-{F}(V4,V11,V6), sum-{F}(V10,V0,V12), product-{F}(V8,V12,V12), sum-{F}(V0,V13,V12), product-{F}(V4,V13,V14), sum-{F}(V5,V14,V5), product-{F}(V15,V1,V1), sum-{F}(V1,V16,V15), sum-{F}(V17,V5,V16), sum-{F}(V17,V5,V18), sum-{F}(V1,V18,V19), product-{F}(V19,V6,V6), sum-{F}(V17,V2,V20), V12 == V20, product-{F}(V15,V20,V20), product-{F}(V6,V20,V20), product-{F}(V20,V2,V2), sum-{F}(V2,V21,V20), product-{F}(V4,V21,V22), sum-{F}(V5,V22,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1314: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V34, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V35, V16 == V31, V17 == V32; #1236 ), references = 1, size of lhs = 37:
% 55.82/56.00 P_x-{F}(V0), P_inverse-{F}(V0,V1), P_y-{F}(V2), P_x_plus_y-{F}(V3), P_x_inverse_times_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V6,V1,V6), sum-{F}(V6,V5,V6), product-{F}(V6,V6,V6), sum-{F}(V6,V5,V7), product-{F}(V7,V6,V6), product-{F}(V7,V2,V2), product-{F}(V8,V4,V4), sum-{F}(V4,V9,V8), sum-{F}(V10,V5,V9), sum-{F}(V10,V5,V11), sum-{F}(V4,V11,V6), sum-{F}(V10,V0,V12), product-{F}(V8,V12,V12), sum-{F}(V0,V13,V12), product-{F}(V4,V13,V14), sum-{F}(V5,V14,V5), product-{F}(V15,V1,V1), sum-{F}(V1,V16,V15), sum-{F}(V17,V5,V16), sum-{F}(V17,V2,V18), V12 == V18, product-{F}(V15,V18,V18), product-{F}(V6,V18,V18), product-{F}(V18,V2,V2), sum-{F}(V17,V5,V19), sum-{F}(V1,V19,V20), product-{F}(V20,V6,V6), sum-{F}(V2,V21,V18), product-{F}(V4,V21,V22), sum-{F}(V5,V22,V5) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1419: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V30, V30 == V34, V34 == V36, V36 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V20 == V38, V21 == V39; #1368 ), references = 1, size of lhs = 22:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V1,V1), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), sum-{F}(V3,V6,V5), product-{F}(V3,V6,V4), sum-{F}(V5,V4,V7), product-{F}(V7,V5,V5), product-{F}(V7,V0,V0), sum-{F}(V1,V0,V8), V6 == V8, product-{F}(V5,V8,V8), sum-{F}(V9,V1,V8), sum-{F}(V9,V4,V0), sum-{F}(V10,V0,V8), sum-{F}(V10,V4,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1472: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V32, V32 == V36, V36 == V38, V38 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V57, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V58, V20 == V40, V40 == V54, V21 == V41, V41 == V55; #1369 ), references = 1, size of lhs = 35:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V1,V1), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), sum-{F}(V5,V4,V6), product-{F}(V6,V5,V5), product-{F}(V6,V1,V1), sum-{F}(V1,V0,V7), product-{F}(V5,V7,V7), sum-{F}(V8,V1,V7), sum-{F}(V8,V4,V0), sum-{F}(V5,V4,V9), product-{F}(V9,V5,V5), product-{F}(V9,V0,V0), sum-{F}(V10,V0,V7), sum-{F}(V10,V4,V1), product-{F}(V11,V0,V0), product-{F}(V11,V12,V12), sum-{F}(V12,V3,V11), sum-{F}(V12,V4,V13), V13 == V7, sum-{F}(V12,V4,V14), sum-{F}(V3,V14,V15), product-{F}(V15,V3,V3), product-{F}(V15,V13,V13), sum-{F}(V12,V4,V16), sum-{F}(V3,V16,V5), product-{F}(V3,V12,V17), sum-{F}(V4,V17,V4) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1528: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V32, V32 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V60, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V61, V20 == V57, V21 == V44, V44 == V58; #1370 ), references = 1, size of lhs = 35:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V1,V1), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), sum-{F}(V5,V4,V6), product-{F}(V6,V5,V5), product-{F}(V6,V1,V1), sum-{F}(V1,V0,V7), product-{F}(V5,V7,V7), sum-{F}(V8,V1,V7), sum-{F}(V8,V4,V0), sum-{F}(V5,V4,V9), product-{F}(V9,V5,V5), product-{F}(V9,V0,V0), sum-{F}(V10,V0,V7), sum-{F}(V10,V4,V1), product-{F}(V11,V0,V0), product-{F}(V11,V12,V12), sum-{F}(V12,V3,V11), sum-{F}(V12,V4,V13), V13 == V7, sum-{F}(V12,V4,V14), sum-{F}(V3,V14,V15), product-{F}(V15,V3,V3), product-{F}(V15,V13,V13), sum-{F}(V12,V4,V16), sum-{F}(V3,V16,V5), product-{F}(V3,V12,V17), sum-{F}(V4,V17,V4) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1598: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V32, V32 == V36, V36 == V38, V38 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V3 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V22 == V41, V23 == V42; #1545 ), references = 1, size of lhs = 19:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_multiplicative_identity-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V4,V4), P_additive_identity-{F}(V5), sum-{F}(V4,V5,V4), sum-{F}(V5,V5,V5), sum-{F}(V4,V5,V6), product-{F}(V6,V4,V4), product-{F}(V6,V0,V0), sum-{F}(V1,V0,V7), product-{F}(V4,V7,V7), sum-{F}(V8,V1,V7), sum-{F}(V8,V5,V0), sum-{F}(V9,V0,V7), sum-{F}(V9,V5,V1) | P_inverse-{T}(V3,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1654: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V35, V35 == V39, V39 == V41, V41 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V60, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V36, V36 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V61, V24 == V43, V43 == V58, V25 == V44, V44 == V59; #1546 ), references = 1, size of lhs = 24:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V1,V1), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), product-{F}(V5,V3,V3), product-{F}(V5,V0,V0), sum-{F}(V5,V4,V6), product-{F}(V6,V5,V5), product-{F}(V6,V1,V1), sum-{F}(V1,V0,V7), product-{F}(V5,V7,V7), sum-{F}(V8,V1,V7), sum-{F}(V8,V4,V0), sum-{F}(V5,V4,V9), product-{F}(V9,V5,V5), product-{F}(V9,V0,V0), sum-{F}(V10,V0,V7), sum-{F}(V10,V4,V1) | P_inverse-{T}(V3,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1713: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V35, V35 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V58 == V63, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V28, V28 == V30, V30 == V32, V32 == V36, V36 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V59 == V64, V24 == V61, V25 == V47, V47 == V62; #1547 ), references = 1, size of lhs = 24:
% 55.82/56.00 P_x-{F}(V0), P_y-{F}(V1), P_x_plus_y-{F}(V2), P_x_inverse_times_y_inverse-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V4,V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V1,V1), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), product-{F}(V5,V3,V3), product-{F}(V5,V0,V0), sum-{F}(V5,V4,V6), product-{F}(V6,V5,V5), product-{F}(V6,V1,V1), sum-{F}(V1,V0,V7), product-{F}(V5,V7,V7), sum-{F}(V8,V1,V7), sum-{F}(V8,V4,V0), sum-{F}(V5,V4,V9), product-{F}(V9,V5,V5), product-{F}(V9,V0,V0), sum-{F}(V10,V0,V7), sum-{F}(V10,V4,V1) | P_inverse-{T}(V3,V7)
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1774: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V31, V31 == V35, V35 == V37, V37 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V60, V60 == V62, V2 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V61, V61 == V63, V39 == V64, V21 == V40, V40 == V65, V22 == V41, V41 == V57; #1716 ), references = 1, size of lhs = 18:
% 55.82/56.00 P_x_plus_y-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V1,V1), P_multiplicative_identity-{F}(V2), sum-{F}(V2,V1,V2), product-{F}(V2,V2,V2), product-{F}(V2,V0,V0), sum-{F}(V2,V1,V3), product-{F}(V3,V2,V2), P_x-{F}(V4), product-{F}(V3,V4,V4), sum-{F}(V5,V1,V4), sum-{F}(V6,V4,V0), sum-{F}(V6,V1,V7), product-{F}(V2,V7,V7), sum-{F}(V7,V4,V0), sum-{F}(V5,V7,V0), P_y-{F}(V7) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1836: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V32, V32 == V36, V36 == V38, V38 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V3 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V58, V58 == V60, V40 == V61, V23 == V41, V41 == V62; #1778 ), references = 1, size of lhs = 13:
% 55.82/56.00 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V0,V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V2), product-{F}(V2,V1,V1), P_x-{F}(V3), sum-{F}(V3,V0,V3), product-{F}(V2,V3,V3), P_y-{F}(V4), product-{F}(V1,V4,V4), sum-{F}(V4,V0,V4) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1895: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V31, V31 == V35, V35 == V37, V37 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V56, V56 == V58, V39 == V59; #1839 ), references = 1, size of lhs = 10:
% 55.82/56.00 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V0,V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V2), product-{F}(V2,V1,V1), P_x-{F}(V3), sum-{F}(V3,V0,V3), product-{F}(V2,V3,V3) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1954: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V54, V54 == V56, V2 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V55, V55 == V57; #1898 ), references = 1, size of lhs = 5:
% 55.82/56.00 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V0,V1), product-{F}(V1,V1,V1) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1988: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31; #1957 ), references = 1, size of lhs = 2:
% 55.82/56.00 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 #1991: exists( #29, #1989 ), references = 1, size of lhs = 0:
% 55.82/56.00 FALSE | FALSE
% 55.82/56.00 (used 0 times, uses = {})
% 55.82/56.00
% 55.82/56.00 number of learnt formulas = 64
% 55.82/56.00
% 55.82/56.00
% 55.82/56.00 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.82/56.00
% 55.82/56.00 randbase = 1
%------------------------------------------------------------------------------