TSTP Solution File: BOO015-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO015-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 26.27s 26.45s
% Output : Refutation 26.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO015-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 08:39:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 26.27/26.45 GeoParameters:
% 26.27/26.45
% 26.27/26.45 tptp_input = 1
% 26.27/26.45 tptp_output = 0
% 26.27/26.45 nonempty = 1
% 26.27/26.45 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.27/26.45 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 26.27/26.45
% 26.27/26.45
% 26.27/26.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.27/26.45 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.27/26.45
% 26.27/26.45 RuleSystem INPUT:
% 26.27/26.45
% 26.27/26.45 Initial Rules:
% 26.27/26.45 #0: input, references = 36, size of lhs = 1:
% 26.27/26.45 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1: input, references = 42, size of lhs = 1:
% 26.27/26.45 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #2: input, references = 42, size of lhs = 1:
% 26.27/26.45 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #3: input, references = 53, size of lhs = 1:
% 26.27/26.45 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #4: input, references = 16, size of lhs = 2:
% 26.27/26.45 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #5: input, references = 16, size of lhs = 2:
% 26.27/26.45 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #6: input, references = 29, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #7: input, references = 4, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #8: input, references = 23, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #9: input, references = 6, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #10: input, references = 5, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #11: input, references = 6, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #12: input, references = 13, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #13: input, references = 4, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #14: input, references = 3, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #15: input, references = 6, size of lhs = 6:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #16: input, references = 24, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #17: input, references = 3, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #18: input, references = 24, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #19: input, references = 3, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #20: input, references = 13, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #21: input, references = 12, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #22: input, references = 8, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_times_y-{F}(V4) | product-{T}(V2,V3,V4)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #23: input, references = 15, size of lhs = 8:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_times_y-{F}(V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_x_inverse_plus_y_inverse-{F}(V7) | sum-{T}(V5,V6,V7)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #24: input, references = 8, size of lhs = 9:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_times_y-{F}(V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_x_inverse_plus_y_inverse-{F}(V7), P_inverse-{F}(V4,V7) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #25: input, references = 4, size of lhs = 2:
% 26.27/26.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #26: input, references = 4, size of lhs = 2:
% 26.27/26.45 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #27: input, references = 4, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #28: input, references = 4, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #29: input, references = 25, size of lhs = 1:
% 26.27/26.45 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #30: input, references = 4, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_x-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #31: input, references = 4, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_y-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #32: input, references = 6, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_x_times_y-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #33: input, references = 9, size of lhs = 0:
% 26.27/26.45 FALSE | EXISTS V0: P_x_inverse_plus_y_inverse-{T}(V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 number of initial rules = 34
% 26.27/26.45
% 26.27/26.45 Simplifiers:
% 26.27/26.45 #34: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #35: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #36: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #37: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #38: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #39: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #40: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #41: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_x_times_y-{F}(V0), P_x_times_y-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #42: unsound, references = 3, size of lhs = 3:
% 26.27/26.45 P_x_inverse_plus_y_inverse-{F}(V0), P_x_inverse_plus_y_inverse-{F}(V1), V0 == V1 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 number of simplifiers = 9
% 26.27/26.45
% 26.27/26.45 Learnt:
% 26.27/26.45 #57: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #50 ), references = 1, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), V4 == V0 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #63: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #51 ), references = 2, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V0,V3,V4), V0 == V4 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #70: mergings( V1 == V5, V2 == V6; #67 ), references = 1, size of lhs = 5:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V1,V4) | P_x_times_y-{T}(V4)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #88: mergings( V3 == V4, V4 == V6, V5 == V7; #84 ), references = 39, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V0), sum-{F}(V4,V3,V5), product-{F}(V2,V5,V6) | P_multiply-{T}(V2,V4,V6)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #112: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #106 ), references = 32, size of lhs = 7:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #117: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #107 ), references = 1, size of lhs = 7:
% 26.27/26.45 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)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #129: mergings( V0 == V2, V2 == V4, V3 == V5; #125 ), references = 1, size of lhs = 2:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V0,V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #142: mergings( V2 == V4, V4 == V6, V6 == V10, V3 == V5, V5 == V7, V7 == V11; #135 ), references = 1, size of lhs = 7:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V0), P_x_times_y-{F}(V1), P_x_inverse_plus_y_inverse-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V4,V4,V4) | P_inverse-{T}(V0,V2)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #154: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V7 == V12; #144 ), references = 1, size of lhs = 6:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V1,V1), P_x-{F}(V2), P_y-{F}(V2), P_x_times_y-{F}(V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #168: mergings( V2 == V3, V3 == V5, V0 == V4, V4 == V6; #163 ), references = 1, size of lhs = 2:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | P_inverse-{T}(V1,V0)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #171: exists( #29, #24 ), references = 4, size of lhs = 8:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_times_y-{F}(V4), P_inverse-{F}(V3,V5), P_x_inverse_plus_y_inverse-{F}(V6), P_inverse-{F}(V4,V6) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #186: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V13, V4 == V6, V6 == V8, V8 == V14; #178 ), references = 1, size of lhs = 10:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V1,V3), product-{F}(V3,V0,V0), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), V6 == V4, product-{F}(V6,V3,V3) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #195: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V12, V3 == V5, V5 == V7, V7 == V13; #187 ), references = 1, size of lhs = 8:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V1,V3), product-{F}(V3,V0,V0), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V3,V3) | P_x_inverse_plus_y_inverse-{T}(V5)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #202: mergings( V1 == V4, V2 == V5; #199 ), references = 1, size of lhs = 4:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | P_x_times_y-{T}(V1)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #226: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V16; #216 ), references = 2, size of lhs = 12:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V3,V3), sum-{F}(V3,V5,V7), V7 == V4, sum-{F}(V3,V8,V6), sum-{F}(V8,V1,V1) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #250: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V20, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21; #234 ), references = 3, size of lhs = 10:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_x_inverse_plus_y_inverse-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V5,V5), product-{F}(V5,V0,V0), product-{F}(V6,V5,V1), product-{F}(V6,V0,V0) | P_inverse-{T}(V0,V3)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #257: exists( #29, #171 ), references = 3, size of lhs = 7:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_x_times_y-{F}(V4), P_x_inverse_plus_y_inverse-{F}(V5), P_inverse-{F}(V4,V5) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #266: mergings( V3 == V6, V4 == V7, V1 == V9, V2 == V8; #260 ), references = 1, size of lhs = 9:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_x_times_y-{F}(V2), product-{F}(V3,V2,V2), product-{F}(V3,V1,V4), P_y-{F}(V4) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #272: mergings( V4 == V7, V5 == V8, V1 == V9, V2 == V10, V9 == V3; #261 ), references = 1, size of lhs = 9:
% 26.27/26.45 P_x_times_y-{F}(V0), P_x-{F}(V0), product-{F}(V1,V0,V0), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V3,V3,V3), product-{F}(V3,V0,V0), product-{F}(V1,V3,V4), P_y-{F}(V4) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #312: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23; #295 ), references = 1, size of lhs = 16:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V6,V6), product-{F}(V6,V1,V1), product-{F}(V7,V6,V3), sum-{F}(V6,V7,V6), product-{F}(V8,V1,V1), product-{F}(V8,V6,V9), product-{F}(V7,V9,V5), product-{F}(V8,V6,V10), product-{F}(V7,V10,V5) | P_inverse-{T}(V1,V4)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #373: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V23 == V28; #348 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V3), product-{F}(V4,V3,V3), product-{F}(V4,V1,V2), P_x_inverse_plus_y_inverse-{F}(V5) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #399: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V25 == V27, V0 == V28, V23 == V29; #346 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V3), product-{F}(V4,V3,V3), product-{F}(V4,V1,V2), P_x_inverse_plus_y_inverse-{F}(V5) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #426: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V28, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V29, V0 == V30, V23 == V31, V31 == V24; #347 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_x_times_y-{F}(V0), P_y-{F}(V0), product-{F}(V1,V0,V0), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V3,V3,V3), sum-{F}(V3,V2,V3), product-{F}(V3,V0,V0), product-{F}(V1,V3,V4), product-{F}(V3,V4,V4), P_x-{F}(V4), P_x_inverse_plus_y_inverse-{F}(V5) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #454: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V22 == V28; #427 ), references = 1, size of lhs = 11:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V3), product-{F}(V4,V3,V3), product-{F}(V4,V1,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #480: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V24, V24 == V26, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V22 == V28, V23 == V29; #428 ), references = 1, size of lhs = 11:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V3), product-{F}(V4,V3,V3), product-{F}(V4,V1,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #507: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V25, V25 == V28, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26, V26 == V29, V22 == V30, V23 == V31, V31 == V24; #429 ), references = 1, size of lhs = 11:
% 26.27/26.45 P_x_times_y-{F}(V0), P_y-{F}(V0), product-{F}(V1,V0,V0), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V3,V3,V3), sum-{F}(V3,V2,V3), product-{F}(V3,V0,V0), product-{F}(V1,V3,V4), product-{F}(V3,V4,V4), P_x-{F}(V4) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #536: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V15, V5 == V7, V7 == V9, V9 == V11, V11 == V16; #525 ), references = 2, size of lhs = 11:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_x_inverse_plus_y_inverse-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V5,V4,V5), product-{F}(V5,V5,V5), product-{F}(V5,V0,V0), product-{F}(V6,V0,V5), product-{F}(V6,V5,V1) | P_inverse-{T}(V0,V3)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #561: mergings( V1 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #548 ), references = 1, size of lhs = 17:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V4,V3,V4), product-{F}(V4,V0,V0), product-{F}(V4,V4,V4), product-{F}(V5,V0,V4), product-{F}(V5,V4,V1), product-{F}(V6,V0,V4), product-{F}(V6,V4,V7), product-{F}(V6,V4,V8), product-{F}(V7,V0,V9), sum-{F}(V4,V9,V10), product-{F}(V8,V4,V11), V11 == V10 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #625: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V20, V20 == V22, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V21, V21 == V23; #608 ), references = 1, size of lhs = 21:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V7,V1,V4), sum-{F}(V7,V5,V8), sum-{F}(V8,V1,V1), sum-{F}(V7,V5,V9), product-{F}(V10,V1,V8), product-{F}(V3,V11,V5), product-{F}(V12,V1,V1), product-{F}(V12,V13,V13), sum-{F}(V13,V5,V12), product-{F}(V10,V13,V11), sum-{F}(V13,V5,V14), product-{F}(V10,V14,V15), product-{F}(V3,V15,V16), V16 == V9 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #659: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30; #633 ), references = 1, size of lhs = 20:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_inverse_plus_y_inverse-{F}(V1), P_x_times_y-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V4,V0,V0), product-{F}(V5,V4,V1), product-{F}(V5,V0,V6), sum-{F}(V6,V3,V6), product-{F}(V7,V1,V6), sum-{F}(V6,V3,V8), V3 == V8, product-{F}(V9,V1,V1), product-{F}(V9,V10,V10), sum-{F}(V10,V3,V9), product-{F}(V7,V10,V0), sum-{F}(V10,V3,V11), product-{F}(V7,V11,V0) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #722: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V20, V20 == V22, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V21, V21 == V23; #705 ), references = 1, size of lhs = 21:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V3,V4,V7), product-{F}(V3,V8,V5), product-{F}(V9,V1,V1), product-{F}(V9,V10,V10), sum-{F}(V10,V5,V9), product-{F}(V11,V10,V8), product-{F}(V11,V1,V12), sum-{F}(V12,V1,V1), sum-{F}(V12,V13,V12), product-{F}(V8,V13,V14), sum-{F}(V12,V14,V15), V7 == V15, sum-{F}(V10,V5,V16), product-{F}(V11,V16,V4) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #762: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V29, V29 == V31, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V32; #734 ), references = 1, size of lhs = 20:
% 26.27/26.45 P_x-{F}(V0), P_x_inverse_plus_y_inverse-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), product-{F}(V4,V4,V4), product-{F}(V4,V0,V0), product-{F}(V5,V4,V1), product-{F}(V5,V0,V6), sum-{F}(V6,V3,V6), product-{F}(V7,V1,V6), sum-{F}(V6,V3,V8), V3 == V8, product-{F}(V9,V1,V1), product-{F}(V9,V10,V10), sum-{F}(V10,V3,V9), product-{F}(V7,V10,V0), sum-{F}(V10,V3,V11), product-{F}(V7,V11,V0) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #823: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V18, V18 == V20, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V19, V19 == V21; #808 ), references = 1, size of lhs = 19:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V3,V7,V5), sum-{F}(V8,V1,V1), product-{F}(V8,V4,V9), product-{F}(V10,V1,V8), product-{F}(V11,V1,V1), product-{F}(V11,V12,V12), product-{F}(V10,V12,V7), sum-{F}(V12,V5,V11), sum-{F}(V12,V5,V13), product-{F}(V10,V13,V14), product-{F}(V3,V14,V15), V15 == V9 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #855: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V26, V26 == V28, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V29; #831 ), references = 1, size of lhs = 19:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_x_inverse_plus_y_inverse-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V5,V5), product-{F}(V5,V0,V0), product-{F}(V6,V5,V1), product-{F}(V6,V0,V7), product-{F}(V8,V1,V7), product-{F}(V7,V3,V9), V4 == V9, product-{F}(V10,V1,V1), product-{F}(V10,V11,V11), sum-{F}(V11,V4,V10), product-{F}(V8,V11,V0), sum-{F}(V11,V4,V12), product-{F}(V8,V12,V0) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #884: mergings( V2 == V4, V4 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V11, V11 == V13, V13 == V15; #874 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V7,V3,V5), product-{F}(V7,V4,V5), product-{F}(V7,V6,V8), product-{F}(V7,V1,V9), V9 == V8 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #893: mergings( V2 == V4, V4 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V11, V11 == V13, V13 == V15; #875 ), references = 1, size of lhs = 13:
% 26.27/26.45 P_x-{F}(V0), P_y-{F}(V1), P_x_times_y-{F}(V2), P_inverse-{F}(V0,V3), P_x_inverse_plus_y_inverse-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V7,V3,V5), product-{F}(V7,V4,V8), product-{F}(V7,V1,V9), product-{F}(V7,V6,V10), sum-{F}(V8,V9,V11), V11 == V10 | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #995: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #983 ), references = 1, size of lhs = 5:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V1), product-{F}(V2,V3,V0), product-{F}(V2,V1,V4) | P_inverse-{T}(V3,V4)
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1148: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V19 == V49, V20 == V50, V22 == V51; #1102 ), references = 1, size of lhs = 31:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_inverse-{F}(V2,V3), product-{F}(V0,V3,V0), P_y-{F}(V4), product-{F}(V1,V4,V4), P_x_times_y-{F}(V5), sum-{F}(V5,V4,V4), P_x_inverse_plus_y_inverse-{F}(V6), product-{F}(V1,V6,V6), product-{F}(V6,V1,V6), sum-{F}(V3,V0,V7), product-{F}(V0,V1,V8), sum-{F}(V3,V8,V9), product-{F}(V10,V4,V5), product-{F}(V3,V11,V0), sum-{F}(V0,V12,V0), product-{F}(V3,V13,V12), product-{F}(V14,V6,V6), product-{F}(V14,V15,V15), sum-{F}(V15,V7,V14), product-{F}(V4,V15,V5), sum-{F}(V15,V9,V16), product-{F}(V1,V16,V1), product-{F}(V17,V4,V4), product-{F}(V17,V18,V18), sum-{F}(V18,V0,V17), product-{F}(V10,V18,V11), sum-{F}(V18,V0,V19), product-{F}(V10,V19,V13) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1194: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V19 == V49, V0 == V50, V20 == V51, V22 == V52; #1101 ), references = 1, size of lhs = 31:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_inverse-{F}(V2,V3), product-{F}(V0,V3,V0), P_y-{F}(V4), product-{F}(V1,V4,V4), P_x_times_y-{F}(V5), sum-{F}(V5,V4,V4), P_x_inverse_plus_y_inverse-{F}(V6), product-{F}(V1,V6,V6), product-{F}(V6,V1,V6), sum-{F}(V3,V0,V7), product-{F}(V0,V1,V8), sum-{F}(V3,V8,V9), product-{F}(V10,V4,V5), product-{F}(V3,V11,V0), sum-{F}(V0,V12,V0), product-{F}(V3,V13,V12), product-{F}(V14,V6,V6), product-{F}(V14,V15,V15), sum-{F}(V15,V7,V14), product-{F}(V4,V15,V5), sum-{F}(V15,V9,V16), product-{F}(V1,V16,V1), product-{F}(V17,V4,V4), product-{F}(V17,V18,V18), sum-{F}(V18,V0,V17), product-{F}(V10,V18,V11), sum-{F}(V18,V0,V19), product-{F}(V10,V19,V13) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1240: mergings( V2 == V3, V3 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V45, V45 == V47, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V19 == V49, V21 == V52, V20 == V50, V22 == V51; #1103 ), references = 1, size of lhs = 31:
% 26.27/26.45 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), sum-{F}(V4,V3,V3), P_x_inverse_plus_y_inverse-{F}(V5), product-{F}(V1,V5,V5), product-{F}(V5,V1,V5), P_inverse-{F}(V2,V6), product-{F}(V0,V6,V0), sum-{F}(V6,V0,V7), product-{F}(V0,V1,V8), sum-{F}(V6,V8,V9), product-{F}(V10,V3,V4), product-{F}(V6,V11,V0), sum-{F}(V0,V12,V0), product-{F}(V6,V13,V12), product-{F}(V14,V5,V5), product-{F}(V14,V15,V15), sum-{F}(V15,V7,V14), product-{F}(V3,V15,V4), sum-{F}(V15,V9,V16), product-{F}(V1,V16,V1), product-{F}(V17,V3,V3), product-{F}(V17,V18,V18), sum-{F}(V18,V0,V17), product-{F}(V10,V18,V11), sum-{F}(V18,V0,V19), product-{F}(V10,V19,V13) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1343: mergings( V2 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V50, V50 == V52, V52 == V54, V54 == V56, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V30 == V59, V31 == V60; #1288 ), references = 1, size of lhs = 23:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), P_x_inverse_plus_y_inverse-{F}(V5), product-{F}(V1,V5,V5), product-{F}(V5,V1,V5), product-{F}(V6,V3,V4), product-{F}(V7,V1,V3), product-{F}(V7,V2,V4), product-{F}(V8,V3,V3), product-{F}(V8,V9,V9), sum-{F}(V9,V0,V8), product-{F}(V6,V9,V2), sum-{F}(V9,V0,V10), product-{F}(V6,V10,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1399: mergings( V2 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V50, V50 == V52, V52 == V54, V54 == V56, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V0 == V58, V30 == V60, V31 == V61; #1286 ), references = 1, size of lhs = 23:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), P_x_inverse_plus_y_inverse-{F}(V5), product-{F}(V1,V5,V5), product-{F}(V5,V1,V5), product-{F}(V6,V3,V4), product-{F}(V7,V1,V3), product-{F}(V7,V2,V4), product-{F}(V8,V3,V3), product-{F}(V8,V9,V9), sum-{F}(V9,V0,V8), product-{F}(V6,V9,V2), sum-{F}(V9,V0,V10), product-{F}(V6,V10,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1456: mergings( V2 == V4, V4 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V51, V51 == V53, V53 == V55, V55 == V57, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V16, V16 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V0 == V59, V30 == V60, V31 == V61, V32 == V62; #1287 ), references = 1, size of lhs = 23:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), P_x_inverse_plus_y_inverse-{F}(V5), product-{F}(V1,V5,V5), product-{F}(V5,V1,V5), product-{F}(V6,V3,V4), product-{F}(V7,V1,V3), product-{F}(V7,V2,V4), product-{F}(V8,V3,V3), product-{F}(V8,V9,V9), sum-{F}(V9,V0,V8), product-{F}(V6,V9,V2), sum-{F}(V9,V0,V10), product-{F}(V6,V10,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1518: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V42, V42 == V44, V44 == V47, V47 == V49, V49 == V51, V51 == V53, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V43, V43 == V45, V45 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V28 == V57; #1463 ), references = 1, size of lhs = 20:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), product-{F}(V5,V3,V4), product-{F}(V6,V1,V3), product-{F}(V6,V2,V4), product-{F}(V7,V3,V3), product-{F}(V7,V8,V8), sum-{F}(V8,V0,V7), product-{F}(V5,V8,V2), sum-{F}(V8,V0,V9), product-{F}(V5,V9,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1572: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V48, V48 == V50, V50 == V52, V52 == V54, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V46, V46 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V28 == V56, V29 == V58; #1464 ), references = 1, size of lhs = 20:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), product-{F}(V5,V3,V4), product-{F}(V6,V1,V3), product-{F}(V6,V2,V4), product-{F}(V7,V3,V3), product-{F}(V7,V8,V8), sum-{F}(V8,V0,V7), product-{F}(V5,V8,V2), sum-{F}(V8,V0,V9), product-{F}(V5,V9,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1627: mergings( V1 == V2, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V28 == V57, V29 == V58, V30 == V59; #1465 ), references = 1, size of lhs = 20:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), P_x_times_y-{F}(V4), product-{F}(V3,V2,V4), product-{F}(V5,V3,V4), product-{F}(V6,V1,V3), product-{F}(V6,V2,V4), product-{F}(V7,V3,V3), product-{F}(V7,V8,V8), sum-{F}(V8,V0,V7), product-{F}(V5,V8,V2), sum-{F}(V8,V0,V9), product-{F}(V5,V9,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1690: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V48, V48 == V50, V50 == V52, V52 == V54, V2 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V46, V46 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55; #1634 ), references = 1, size of lhs = 16:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), product-{F}(V3,V1,V3), product-{F}(V4,V3,V3), product-{F}(V4,V5,V5), sum-{F}(V5,V0,V4), product-{F}(V2,V5,V2), sum-{F}(V5,V0,V6), product-{F}(V2,V6,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1745: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V2 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V30 == V57; #1635 ), references = 1, size of lhs = 16:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), product-{F}(V3,V1,V3), product-{F}(V4,V3,V3), product-{F}(V4,V5,V5), sum-{F}(V5,V0,V4), product-{F}(V2,V5,V2), sum-{F}(V5,V0,V6), product-{F}(V2,V6,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1801: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V50, V50 == V52, V52 == V54, V54 == V56, V2 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V30 == V58, V31 == V59; #1636 ), references = 1, size of lhs = 16:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), P_y-{F}(V3), product-{F}(V1,V3,V3), product-{F}(V3,V1,V3), product-{F}(V4,V3,V3), product-{F}(V4,V5,V5), sum-{F}(V5,V0,V4), product-{F}(V2,V5,V2), sum-{F}(V5,V0,V6), product-{F}(V2,V6,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1864: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V48, V48 == V50, V50 == V52, V52 == V54, V3 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V46, V46 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55; #1808 ), references = 2, size of lhs = 12:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), product-{F}(V1,V3,V3), sum-{F}(V3,V0,V1), product-{F}(V2,V3,V2), sum-{F}(V3,V0,V4), product-{F}(V2,V4,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1919: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V3 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V30 == V57; #1809 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), product-{F}(V1,V3,V3), sum-{F}(V3,V0,V1), product-{F}(V2,V3,V2), sum-{F}(V3,V0,V4), product-{F}(V2,V4,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1974: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V44 == V46, V46 == V49, V49 == V51, V51 == V53, V53 == V55, V3 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45, V45 == V47, V47 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V30 == V57; #1810 ), references = 1, size of lhs = 12:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), P_x-{F}(V2), product-{F}(V1,V2,V2), product-{F}(V1,V3,V3), sum-{F}(V3,V0,V1), product-{F}(V2,V3,V2), sum-{F}(V3,V0,V4), product-{F}(V2,V4,V2) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #1985: mergings( V1 == V2; #1981 ), references = 1, size of lhs = 6:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_multiplicative_identity-{F}(V1), product-{F}(V0,V1,V0), product-{F}(V1,V1,V1), sum-{F}(V1,V0,V1) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #2001: mergings( V1 == V2, V2 == V3, V3 == V4; #1995 ), references = 1, size of lhs = 2:
% 26.27/26.45 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 #2008: exists( #27, #2002 ), references = 1, size of lhs = 0:
% 26.27/26.45 FALSE | FALSE
% 26.27/26.45 (used 0 times, uses = {})
% 26.27/26.45
% 26.27/26.45 number of learnt formulas = 55
% 26.27/26.45
% 26.27/26.45
% 26.27/26.45 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 26.27/26.45
% 26.27/26.45 randbase = 1
%------------------------------------------------------------------------------