%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : BOO007-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 05:58:35 EDT 2022
% Result : Unsatisfiable 94.14s 94.31s
% Output : Refutation 94.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : BOO007-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n021.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 08:37:18 EDT 2022
% 0.11/0.33 % CPUTime :
% 94.14/94.31 GeoParameters:
% 94.14/94.31
% 94.14/94.31 tptp_input = 1
% 94.14/94.31 tptp_output = 0
% 94.14/94.31 nonempty = 1
% 94.14/94.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.14/94.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 94.14/94.31
% 94.14/94.31
% 94.14/94.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.14/94.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.14/94.31
% 94.14/94.31 RuleSystem INPUT:
% 94.14/94.31
% 94.14/94.31 Initial Rules:
% 94.14/94.31 #0: input, references = 19, size of lhs = 1:
% 94.14/94.31 P_add-{F}(V0,V1,V2) | sum-{T}(V0,V1,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1: input, references = 16, size of lhs = 1:
% 94.14/94.31 P_multiply-{F}(V0,V1,V2) | product-{T}(V0,V1,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2: input, references = 21, size of lhs = 1:
% 94.14/94.31 sum-{F}(V0,V1,V2) | sum-{T}(V1,V0,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #3: input, references = 59, size of lhs = 1:
% 94.14/94.31 product-{F}(V0,V1,V2) | product-{T}(V1,V0,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #4: input, references = 12, size of lhs = 2:
% 94.14/94.31 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #5: input, references = 25, size of lhs = 2:
% 94.14/94.31 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #6: input, references = 22, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V1,V2,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #7: input, references = 3, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | product-{T}(V2,V1,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #8: input, references = 44, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #9: input, references = 10, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #10: input, references = 8, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #11: input, references = 4, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #12: input, references = 18, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #13: input, references = 5, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #14: input, references = 4, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #15: input, references = 4, size of lhs = 6:
% 94.14/94.31 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)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #16: input, references = 6, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V3,V2,V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #17: input, references = 3, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | sum-{T}(V2,V3,V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #18: input, references = 8, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V3,V2,V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #19: input, references = 3, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_inverse-{F}(V2,V3) | product-{T}(V2,V3,V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #20: input, references = 13, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V5,V4,V2), sum-{F}(V5,V4,V3), V2 == V3 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #21: input, references = 16, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V4,V2), product-{F}(V5,V4,V3), V2 == V3 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #22: input, references = 8, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4) | product-{T}(V2,V3,V4)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #23: input, references = 17, size of lhs = 7:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), P_x-{F}(V5), P_x_times__y_times_z-{F}(V6) | product-{T}(V5,V4,V6)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #24: input, references = 15, size of lhs = 8:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), P_x-{F}(V5), P_x_times__y_times_z-{F}(V6), P_x_times_y-{F}(V7) | product-{T}(V5,V2,V7)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #25: input, references = 16, size of lhs = 9:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), P_x-{F}(V5), P_x_times__y_times_z-{F}(V6), P_x_times_y-{F}(V7), P_x_times_y__times_z-{F}(V8) | product-{T}(V7,V3,V8)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #26: input, references = 17, size of lhs = 9:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), P_x-{F}(V5), P_x_times__y_times_z-{F}(V8), P_x_times_y-{F}(V7), P_x_times_y__times_z-{F}(V8) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #27: input, references = 6, size of lhs = 2:
% 94.14/94.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #28: input, references = 6, size of lhs = 2:
% 94.14/94.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #29: input, references = 4, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #30: input, references = 4, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #31: input, references = 7, size of lhs = 1:
% 94.14/94.31 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #32: input, references = 4, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_y-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #33: input, references = 6, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_z-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #34: input, references = 7, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_y_times_z-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #35: input, references = 13, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_x-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #36: input, references = 15, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_x_times__y_times_z-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #37: input, references = 16, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_x_times_y-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #38: input, references = 14, size of lhs = 0:
% 94.14/94.31 FALSE | EXISTS V0: P_x_times_y__times_z-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 number of initial rules = 39
% 94.14/94.31
% 94.14/94.31 Simplifiers:
% 94.14/94.31 #39: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #40: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #41: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #42: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #43: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #44: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #45: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #46: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_y_times_z-{F}(V0), P_y_times_z-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #47: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #48: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_x_times__y_times_z-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #49: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_x_times_y-{F}(V0), P_x_times_y-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #50: unsound, references = 3, size of lhs = 3:
% 94.14/94.31 P_x_times_y__times_z-{F}(V0), P_x_times_y__times_z-{F}(V1), V0 == V1 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 number of simplifiers = 12
% 94.14/94.31
% 94.14/94.31 Learnt:
% 94.14/94.31 #55: mergings( V1 == V7, V2 == V8; #52 ), references = 1, size of lhs = 7:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V3,V2,V6) | P_x_times__y_times_z-{T}(V6)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #60: mergings( V1 == V8, V2 == V9; #57 ), references = 7, size of lhs = 8:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V3,V0,V7) | P_x_times_y-{T}(V7)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #65: mergings( V1 == V9, V2 == V10; #62 ), references = 6, size of lhs = 9:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), product-{F}(V5,V1,V8) | P_x_times_y__times_z-{T}(V8)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #107: mergings( V1 == V3, V3 == V8, V8 == V10, V10 == V15, V15 == V21, V21 == V23, V2 == V4, V4 == V9, V9 == V11, V11 == V16, V16 == V22, V22 == V24, V5 == V7, V7 == V17, V17 == V25, V6 == V12, V12 == V18, V18 == V26, V25 == V13, V13 == V19, V19 == V27, V14 == V20, V20 == V28; #83 ), references = 1, size of lhs = 9:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), P_x-{F}(V4), sum-{F}(V5,V4,V4), product-{F}(V5,V2,V6), sum-{F}(V6,V1,V3) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #132: mergings( V1 == V2, V2 == V4, V4 == V9, V9 == V11, V11 == V15, V15 == V20, V20 == V22, V3 == V5, V5 == V10, V10 == V12, V12 == V16, V16 == V21, V21 == V23, V6 == V8, V8 == V17, V17 == V24, V7 == V13, V13 == V18, V18 == V25, V24 == V14, V14 == V19, V19 == V26; #109 ), references = 1, size of lhs = 7:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), product-{F}(V0,V2,V4), sum-{F}(V4,V1,V3) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #137: mergings( V1 == V5, V2 == V6; #134 ), references = 2, size of lhs = 5:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), product-{F}(V0,V1,V4) | P_y_times_z-{T}(V4)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #154: mergings( V1 == V9, V9 == V11, V11 == V13, V2 == V10, V10 == V12, V12 == V14; #147 ), references = 3, size of lhs = 13:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V1,V1), product-{F}(V5,V8,V9), product-{F}(V5,V10,V9), sum-{F}(V10,V1,V11), product-{F}(V5,V11,V12) | P_x_times_y__times_z-{T}(V12)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #195: mergings( V1 == V3, V3 == V8, V8 == V13, V13 == V15, V15 == V21, V21 == V23, V2 == V4, V4 == V9, V9 == V14, V14 == V16, V16 == V22, V22 == V24, V5 == V7, V7 == V17, V17 == V25, V6 == V10, V10 == V18, V18 == V26, V25 == V11, V11 == V19, V19 == V27, V12 == V20, V20 == V28; #171 ), references = 1, size of lhs = 11:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), sum-{F}(V1,V3,V3), P_x-{F}(V4), sum-{F}(V5,V4,V4), product-{F}(V5,V2,V6), sum-{F}(V1,V6,V7), sum-{F}(V7,V3,V7) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #220: mergings( V1 == V2, V2 == V4, V4 == V9, V9 == V13, V13 == V15, V15 == V20, V20 == V22, V3 == V5, V5 == V10, V10 == V14, V14 == V16, V16 == V21, V21 == V23, V6 == V8, V8 == V17, V17 == V24, V7 == V11, V11 == V18, V18 == V25, V24 == V12, V12 == V19, V19 == V26; #197 ), references = 1, size of lhs = 9:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), sum-{F}(V1,V3,V3), product-{F}(V0,V2,V4), sum-{F}(V1,V4,V5), sum-{F}(V5,V3,V5) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #248: mergings( V1 == V8, V8 == V10, V10 == V12, V2 == V9, V9 == V11, V11 == V13; #241 ), references = 1, size of lhs = 12:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V7,V0,V0), product-{F}(V3,V7,V8), product-{F}(V3,V9,V8), sum-{F}(V9,V0,V10), product-{F}(V3,V10,V11) | P_x_times_y-{T}(V11)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #275: mergings( V1 == V9, V9 == V11, V11 == V13, V2 == V10, V10 == V12, V12 == V14; #267 ), references = 2, size of lhs = 13:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V5,V5), product-{F}(V1,V8,V9), product-{F}(V5,V10,V9), sum-{F}(V1,V10,V11), product-{F}(V5,V11,V12) | P_x_times_y__times_z-{T}(V12)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #282: mergings( V1 == V9, V9 == V11, V11 == V13, V2 == V10, V10 == V12, V12 == V14; #268 ), references = 1, size of lhs = 13:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V5,V8,V5), product-{F}(V1,V8,V9), product-{F}(V5,V10,V9), sum-{F}(V1,V10,V11), product-{F}(V5,V11,V12) | P_x_times_y__times_z-{T}(V12)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #318: mergings( V1 == V2, V2 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V24, V24 == V26, V26 == V29, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V23, V23 == V25, V25 == V27, V27 == V30, V4 == V17, V17 == V31, V5 == V18, V18 == V32, V6 == V19, V19 == V33, V7 == V20, V20 == V34, V8 == V21, V21 == V28; #290 ), references = 2, size of lhs = 15:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), sum-{F}(V4,V0,V0), P_y_times_z-{F}(V5), P_x-{F}(V6), sum-{F}(V7,V3,V3), product-{F}(V6,V7,V8), product-{F}(V4,V8,V0), product-{F}(V6,V9,V0), sum-{F}(V3,V10,V9), product-{F}(V6,V10,V11), product-{F}(V11,V1,V11) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #359: mergings( V1 == V2, V2 == V3, V3 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V4, V4 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28, V28 == V30, V30 == V32, V32 == V34, V5 == V12, V12 == V24, V24 == V35, V6 == V7, V7 == V13, V13 == V36, V36 == V14, V14 == V25, V25 == V37, V15 == V26, V26 == V38; #324 ), references = 1, size of lhs = 11:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), sum-{F}(V1,V2,V2), P_y_times_z-{F}(V2), P_x-{F}(V3), sum-{F}(V4,V1,V1), product-{F}(V3,V4,V3), product-{F}(V5,V2,V2), sum-{F}(V5,V3,V3) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #399: mergings( V1 == V2, V2 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V13, V13 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V3 == V34, V34 == V7, V7 == V12, V12 == V14, V14 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V29, V29 == V31, V31 == V33, V33 == V35, V8 == V15, V15 == V26, V26 == V36, V9 == V10, V10 == V16, V16 == V37, V37 == V17, V17 == V27, V27 == V38; #363 ), references = 1, size of lhs = 8:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V0), P_y-{F}(V1), sum-{F}(V0,V1,V1), P_z-{F}(V2), product-{F}(V0,V2,V2), sum-{F}(V1,V2,V2), P_y_times_z-{F}(V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #441: mergings( V1 == V2, V2 == V9, V9 == V11, V11 == V13, V13 == V20, V20 == V23, V3 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V24, V4 == V15, V15 == V25, V5 == V16, V16 == V26, V6 == V17, V17 == V27, V7 == V18, V18 == V28, V8 == V19, V19 == V22; #419 ), references = 1, size of lhs = 15:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), sum-{F}(V4,V0,V0), P_y_times_z-{F}(V5), P_x-{F}(V6), sum-{F}(V7,V6,V6), product-{F}(V7,V3,V8), product-{F}(V4,V8,V0), product-{F}(V3,V9,V0), sum-{F}(V10,V6,V9), product-{F}(V3,V10,V11), product-{F}(V11,V1,V11) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #500: mergings( V1 == V3, V3 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V2 == V4, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #484 ), references = 1, size of lhs = 17:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V5,V5), product-{F}(V1,V8,V9), sum-{F}(V10,V1,V1), product-{F}(V5,V10,V11), sum-{F}(V11,V7,V12), product-{F}(V12,V9,V13), product-{F}(V5,V14,V13), sum-{F}(V1,V14,V15), product-{F}(V5,V15,V16) | P_x_times_y__times_z-{T}(V16)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #515: mergings( V1 == V3, V3 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V2 == V4, V4 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #485 ), references = 1, size of lhs = 17:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V5,V5), product-{F}(V1,V8,V9), sum-{F}(V10,V1,V1), product-{F}(V5,V10,V11), sum-{F}(V11,V7,V12), product-{F}(V12,V9,V13), product-{F}(V5,V14,V13), sum-{F}(V1,V14,V15), product-{F}(V5,V15,V16) | P_x_times_y__times_z-{T}(V16)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #553: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #546 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V2,V2) | P_inverse-{T}(V2,V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #578: mergings( V1 == V2, V2 == V8, V8 == V10, V3 == V9, V9 == V11; #571 ), references = 1, size of lhs = 9:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V3,V6,V4), sum-{F}(V2,V6,V7), product-{F}(V3,V7,V8) | P_x_times__y_times_z-{T}(V8)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #584: mergings( V1 == V2, V2 == V8, V8 == V10, V3 == V9, V9 == V11; #572 ), references = 1, size of lhs = 9:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V3,V6,V4), sum-{F}(V6,V2,V7), product-{F}(V3,V7,V8) | P_x_times__y_times_z-{T}(V8)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #603: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #596 ), references = 4, size of lhs = 6:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V2,V3), product-{F}(V1,V2,V4), sum-{F}(V0,V3,V5), V5 == V4 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #615: mergings( V1 == V7, V7 == V9, V9 == V11, V11 == V13, V2 == V8, V8 == V10, V10 == V12, V12 == V14; #606 ), references = 1, size of lhs = 8:
% 94.14/94.31 P_y-{F}(V0), P_x-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x_times__y_times_z-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), product-{F}(V5,V0,V6) | P_x_times_y-{T}(V6)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #625: mergings( V1 == V8, V2 == V9; #622 ), references = 1, size of lhs = 9:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_x_times_y-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), product-{F}(V6,V1,V7) | P_x_times_y__times_z-{T}(V7)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #633: exists( #27, #631 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4) | P_add-{T}(V2,V3,V4)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #665: mergings( V1 == V3, V3 == V11, V11 == V16, V16 == V18, V2 == V4, V4 == V12, V12 == V17, V17 == V19, V5 == V7, V7 == V13, V13 == V20, V19 == V6, V6 == V8, V8 == V21, V20 == V9, V9 == V14, V14 == V22, V10 == V15, V15 == V23; #645 ), references = 1, size of lhs = 6:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_z-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_x-{F}(V3) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #684: mergings( V1 == V3, V3 == V10, V10 == V14, V14 == V16, V2 == V4, V4 == V11, V11 == V15, V15 == V17, V5 == V7, V7 == V12, V12 == V18, V17 == V6, V6 == V8, V8 == V19, V18 == V9, V9 == V13, V13 == V20; #666 ), references = 1, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_z-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #726: exists( #28, #724 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | P_multiply-{T}(V2,V3,V4)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #767: mergings( V1 == V2, V2 == V8, V8 == V10, V10 == V13, V3 == V9, V9 == V11, V11 == V14, V4 == V15, V5 == V12, V6 == V16, V7 == V12; #755 ), references = 1, size of lhs = 17:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_z-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), sum-{F}(V3,V3,V3), P_y_times_z-{F}(V4), P_x-{F}(V5), product-{F}(V5,V6,V0), sum-{F}(V3,V7,V6), product-{F}(V5,V7,V8), product-{F}(V8,V1,V8), product-{F}(V5,V9,V0), sum-{F}(V3,V10,V9), product-{F}(V5,V10,V11), product-{F}(V11,V1,V11) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #801: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #795 ), references = 9, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V0,V3), sum-{F}(V3,V0,V4), V4 == V0 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #810: mergings( V1 == V3, V2 == V5; #807 ), references = 1, size of lhs = 4:
% 94.14/94.31 P_y-{F}(V0), P_additive_identity-{F}(V0), P_z-{F}(V1), P_multiplicative_identity-{F}(V2) | P_y_times_z-{T}(V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #828: mergings( V1 == V5, V2 == V7; #825 ), references = 2, size of lhs = 6:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_additive_identity-{F}(V2), P_x-{F}(V3), P_multiplicative_identity-{F}(V4) | P_x_times__y_times_z-{T}(V2)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #856: mergings( V1 == V5, V5 == V7, V7 == V14, V14 == V19, V19 == V21, V2 == V6, V6 == V8, V8 == V15, V15 == V20, V20 == V22, V3 == V9, V9 == V11, V11 == V16, V16 == V23, V4 == V10, V10 == V12, V12 == V17, V17 == V24, V21 == V23, V23 == V13, V13 == V18, V18 == V25; #833 ), references = 1, size of lhs = 6:
% 94.14/94.31 P_additive_identity-{F}(V0), P_y-{F}(V0), P_y_times_z-{F}(V0), P_multiplicative_identity-{F}(V1), P_z-{F}(V2), product-{F}(V0,V2,V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #879: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V11, V11 == V14, V14 == V17, V17 == V19, V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18, V18 == V20, V19 == V9, V9 == V13, V13 == V16, V16 == V21; #859 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_y-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #887: mergings( V1 == V4, V2 == V5; #884 ), references = 1, size of lhs = 4:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | P_y_times_z-{T}(V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #905: mergings( V1 == V4, V2 == V9; #902 ), references = 1, size of lhs = 8:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_additive_identity-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_multiplicative_identity-{F}(V6) | P_x_times_y__times_z-{T}(V1)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #917: mergings( V1 == V4, V4 == V9, V2 == V8, V8 == V10, V3 == V11, V9 == V12, V5 == V13, V6 == V14, V12 == V7; #907 ), references = 1, size of lhs = 7:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V0), P_z-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V3), P_x-{F}(V4) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #931: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V9, V9 == V11, V1 == V7, V7 == V12, V2 == V10, V10 == V13, V13 == V8, V8 == V14; #919 ), references = 1, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_z-{F}(V0), P_y_times_z-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #944: mergings( V1 == V6, V2 == V8; #941 ), references = 1, size of lhs = 7:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V3), P_x_times__y_times_z-{F}(V4), P_multiplicative_identity-{F}(V5) | P_x_times_y-{T}(V3)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #953: mergings( V1 == V8, V2 == V9; #950 ), references = 1, size of lhs = 8:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6) | P_x_times_y__times_z-{T}(V5)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #975: exists( #28, #973 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V1,V2,V3) | P_multiply-{T}(V2,V2,V3)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #999: mergings( V1 == V6, V2 == V7; #996 ), references = 1, size of lhs = 6:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | P_x_times__y_times_z-{T}(V3)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1045: exists( #28, #1043 ), references = 11, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), #-{F} V2 | P_multiply-{T}(V0,V2,V0)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1072: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1067 ), references = 14, size of lhs = 7:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V2), product-{F}(V4,V3,V4), sum-{F}(V4,V5,V3), product-{F}(V2,V5,V6), sum-{F}(V4,V6,V7) | P_add-{T}(V4,V2,V7)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1104: mergings( V1 == V11, V11 == V16, V16 == V18, V2 == V12, V12 == V17, V17 == V19, V3 == V7, V7 == V13, V13 == V20, V4 == V5, V5 == V8, V8 == V21, V21 == V9, V9 == V14, V14 == V22, V6 == V10, V10 == V15, V15 == V23; #1085 ), references = 1, size of lhs = 7:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V3), P_x-{F}(V4), product-{F}(V4,V2,V4) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1125: mergings( V1 == V3, V3 == V10, V10 == V14, V14 == V16, V2 == V4, V4 == V11, V11 == V15, V15 == V17, V17 == V5, V5 == V12, V12 == V18, V6 == V7, V7 == V8, V8 == V19, V19 == V9, V9 == V13, V13 == V20; #1107 ), references = 2, size of lhs = 5:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V1), P_z-{F}(V2), P_y_times_z-{F}(V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1134: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #1129 ), references = 1, size of lhs = 3:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V1) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1169: mergings( V1 == V3, V3 == V10, V10 == V12, V12 == V19, V19 == V22, V2 == V4, V4 == V11, V11 == V13, V13 == V20, V20 == V23, V5 == V14, V14 == V24, V6 == V15, V15 == V25, V7 == V16, V16 == V26, V8 == V17, V17 == V27, V9 == V18, V18 == V21; #1148 ), references = 1, size of lhs = 11:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_y_times_z-{F}(V5), P_x-{F}(V6), sum-{F}(V7,V3,V3), product-{F}(V6,V7,V8), sum-{F}(V8,V1,V4), sum-{F}(V8,V1,V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1211: mergings( V1 == V2, V2 == V10, V10 == V12, V3 == V11, V11 == V13; #1205 ), references = 1, size of lhs = 11:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), product-{F}(V1,V8,V6), sum-{F}(V8,V5,V9), product-{F}(V1,V9,V10) | P_x_times_y__times_z-{T}(V10)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1237: mergings( V1 == V8, V8 == V10, V10 == V11, V11 == V18, V18 == V20, V20 == V23, V2 == V9, V9 == V12, V12 == V19, V19 == V21, V21 == V24, V3 == V13, V13 == V25, V4 == V14, V14 == V26, V5 == V15, V15 == V27, V6 == V16, V16 == V28, V7 == V17, V17 == V22; #1215 ), references = 1, size of lhs = 12:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_y_times_z-{F}(V5), P_x-{F}(V6), product-{F}(V4,V7,V1), product-{F}(V6,V8,V7), sum-{F}(V8,V3,V9), product-{F}(V6,V9,V10), product-{F}(V4,V10,V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1268: mergings( V1 == V9, V9 == V11, V11 == V13, V2 == V10, V10 == V12, V12 == V14; #1261 ), references = 2, size of lhs = 13:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V1,V1), product-{F}(V5,V8,V9), product-{F}(V1,V10,V9), sum-{F}(V10,V5,V11), product-{F}(V1,V11,V12) | P_x_times_y__times_z-{T}(V12)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1307: mergings( V1 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V23, V23 == V25, V25 == V27, V27 == V30, V2 == V4, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V24, V24 == V26, V26 == V28, V28 == V31, V5 == V18, V18 == V32, V6 == V19, V19 == V33, V7 == V20, V20 == V34, V8 == V21, V21 == V35, V9 == V22, V22 == V29; #1278 ), references = 1, size of lhs = 17:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_y_times_z-{F}(V5), P_x-{F}(V6), sum-{F}(V3,V7,V3), product-{F}(V6,V7,V8), sum-{F}(V8,V1,V9), sum-{F}(V9,V4,V4), sum-{F}(V8,V1,V10), product-{F}(V4,V11,V0), product-{F}(V6,V12,V11), sum-{F}(V13,V3,V12), product-{F}(V6,V13,V14), product-{F}(V4,V14,V10) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1346: mergings( V1 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V27 == V29, V29 == V31, V31 == V33, V2 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V28, V28 == V30, V30 == V32, V32 == V34, V3 == V12, V12 == V24, V24 == V35, V4 == V5, V5 == V13, V13 == V36, V36 == V14, V14 == V25, V25 == V37, V15 == V26, V26 == V38; #1312 ), references = 1, size of lhs = 13:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), sum-{F}(V2,V3,V2), P_y_times_z-{F}(V3), P_x-{F}(V4), product-{F}(V3,V5,V3), sum-{F}(V4,V5,V6), product-{F}(V3,V6,V3), product-{F}(V4,V7,V4), sum-{F}(V7,V2,V8), product-{F}(V4,V8,V4) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1393: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V2 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V9 == V18, V18 == V29, V29 == V39, V10 == V11, V11 == V19, V19 == V40, V40 == V20, V20 == V30, V30 == V41; #1355 ), references = 1, size of lhs = 12:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), sum-{F}(V1,V2,V1), P_z-{F}(V3), sum-{F}(V2,V3,V2), P_y_times_z-{F}(V3), product-{F}(V4,V1,V4), product-{F}(V3,V4,V3), sum-{F}(V4,V0,V1), sum-{F}(V4,V0,V5), product-{F}(V3,V5,V3) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1441: mergings( V1 == V2, V2 == V4, V4 == V9, V9 == V11, V11 == V16, V16 == V22, V22 == V24, V3 == V5, V5 == V10, V10 == V12, V12 == V17, V17 == V23, V23 == V25, V6 == V8, V8 == V18, V18 == V26, V7 == V13, V13 == V19, V19 == V27, V26 == V14, V14 == V20, V20 == V28, V15 == V21, V21 == V29; #1416 ), references = 1, size of lhs = 12:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), sum-{F}(V1,V3,V1), P_x-{F}(V4), sum-{F}(V5,V3,V3), product-{F}(V2,V6,V5), sum-{F}(V7,V4,V6), product-{F}(V2,V7,V8), product-{F}(V0,V8,V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1478: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V21, V21 == V26, V26 == V28, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V16, V16 == V18, V18 == V22, V22 == V27, V27 == V29, V12 == V14, V14 == V23, V23 == V30, V13 == V19, V19 == V24, V24 == V31, V30 == V20, V20 == V25, V25 == V32; #1449 ), references = 1, size of lhs = 13:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_y_times_z-{F}(V2), P_z-{F}(V3), sum-{F}(V1,V3,V1), product-{F}(V4,V1,V4), sum-{F}(V4,V0,V1), sum-{F}(V4,V0,V5), product-{F}(V2,V5,V6), sum-{F}(V6,V3,V3), product-{F}(V2,V4,V7), product-{F}(V0,V7,V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1542: mergings( V1 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V21, V21 == V24, V2 == V4, V4 == V11, V11 == V13, V13 == V15, V15 == V22, V22 == V25, V5 == V16, V16 == V26, V6 == V17, V17 == V27, V7 == V18, V18 == V28, V8 == V19, V19 == V29, V9 == V20, V20 == V23; #1519 ), references = 1, size of lhs = 17:
% 94.14/94.31 P_x_times__y_times_z-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_y-{F}(V3), P_z-{F}(V4), P_y_times_z-{F}(V5), P_x-{F}(V6), sum-{F}(V3,V7,V3), product-{F}(V6,V7,V8), sum-{F}(V8,V1,V9), sum-{F}(V9,V4,V4), sum-{F}(V8,V1,V10), product-{F}(V4,V11,V0), product-{F}(V3,V12,V11), sum-{F}(V6,V13,V12), product-{F}(V3,V13,V14), product-{F}(V4,V14,V10) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1587: mergings( V1 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V2 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #1576 ), references = 1, size of lhs = 18:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V1,V1), product-{F}(V5,V8,V9), product-{F}(V5,V10,V11), sum-{F}(V10,V1,V12), product-{F}(V5,V12,V13), product-{F}(V11,V14,V9), product-{F}(V1,V15,V14), sum-{F}(V5,V15,V16), product-{F}(V1,V16,V17), product-{F}(V13,V17,V18) | P_x_times_y__times_z-{T}(V18)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1715: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1697 ), references = 1, size of lhs = 13:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V1,V2), product-{F}(V3,V1,V3), product-{F}(V4,V1,V4), product-{F}(V4,V3,V5), product-{F}(V5,V1,V5), product-{F}(V5,V2,V0), product-{F}(V2,V6,V6), product-{F}(V3,V6,V6), product-{F}(V6,V4,V7), sum-{F}(V0,V7,V8), V8 == V0 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1731: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #1698 ), references = 1, size of lhs = 14:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V1,V2), product-{F}(V3,V1,V3), product-{F}(V4,V1,V4), product-{F}(V4,V3,V5), product-{F}(V5,V1,V5), product-{F}(V5,V2,V0), product-{F}(V2,V6,V6), product-{F}(V3,V6,V6), product-{F}(V6,V4,V7), product-{F}(V8,V8,V7), product-{F}(V1,V8,V9), V0 == V9 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1821: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1808 ), references = 1, size of lhs = 19:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), sum-{F}(V5,V2,V4), product-{F}(V3,V6,V7), sum-{F}(V2,V7,V8), product-{F}(V5,V6,V9), product-{F}(V10,V2,V11), product-{F}(V10,V9,V12), product-{F}(V10,V8,V13), product-{F}(V14,V6,V12), product-{F}(V14,V15,V11), product-{F}(V16,V2,V15), sum-{F}(V6,V16,V17), sum-{F}(V6,V18,V17), product-{F}(V2,V18,V19), sum-{F}(V6,V19,V20), product-{F}(V14,V20,V21), V21 == V13 | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1849: mergings( V1 == V2, V2 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V3 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27; #1829 ), references = 1, size of lhs = 24:
% 94.14/94.31 P_y-{F}(V0), P_z-{F}(V1), P_y_times_z-{F}(V2), P_x-{F}(V3), P_x_times__y_times_z-{F}(V4), P_x_times_y-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), product-{F}(V6,V8,V6), product-{F}(V1,V9,V8), sum-{F}(V9,V5,V10), product-{F}(V1,V10,V11), sum-{F}(V1,V12,V1), sum-{F}(V5,V13,V14), sum-{F}(V13,V15,V14), product-{F}(V15,V1,V16), sum-{F}(V13,V16,V17), product-{F}(V11,V13,V18), product-{F}(V11,V17,V19), product-{F}(V13,V20,V12), sum-{F}(V1,V20,V21), sum-{F}(V1,V22,V21), product-{F}(V22,V13,V23), product-{F}(V5,V23,V18) | P_x_times_y__times_z-{T}(V19)
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1906: mergings( V1 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V2 == V4, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V5 == V21, V21 == V46, V6 == V22, V22 == V47, V7 == V23, V23 == V48, V8 == V24, V24 == V49, V9 == V25, V25 == V50; #1862 ), references = 1, size of lhs = 30:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), P_x-{F}(V5), P_x_times__y_times_z-{F}(V6), sum-{F}(V2,V7,V2), product-{F}(V5,V7,V8), sum-{F}(V8,V0,V9), sum-{F}(V8,V0,V10), product-{F}(V0,V11,V0), product-{F}(V3,V12,V11), product-{F}(V2,V13,V12), sum-{F}(V13,V5,V14), product-{F}(V2,V14,V15), product-{F}(V3,V15,V16), sum-{F}(V3,V17,V3), product-{F}(V16,V18,V6), product-{F}(V16,V19,V10), product-{F}(V5,V20,V19), sum-{F}(V20,V2,V21), product-{F}(V5,V21,V22), sum-{F}(V19,V23,V22), product-{F}(V23,V3,V24), sum-{F}(V19,V24,V18), product-{F}(V19,V25,V17), sum-{F}(V3,V25,V26), sum-{F}(V3,V27,V26), product-{F}(V27,V19,V9) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #1957: mergings( V1 == V6, V6 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V2 == V7, V7 == V9, V9 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V3 == V10, V10 == V25, V25 == V49, V4 == V11, V11 == V26, V26 == V50, V5 == V12, V12 == V27, V27 == V51, V13 == V28, V28 == V52; #1910 ), references = 1, size of lhs = 23:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_y_times_z-{F}(V4), sum-{F}(V2,V4,V2), P_x-{F}(V5), sum-{F}(V3,V4,V6), sum-{F}(V3,V7,V6), product-{F}(V5,V7,V8), sum-{F}(V3,V8,V3), product-{F}(V5,V9,V5), sum-{F}(V9,V2,V10), product-{F}(V5,V10,V11), sum-{F}(V5,V12,V11), product-{F}(V12,V3,V13), sum-{F}(V5,V13,V5), product-{F}(V0,V14,V0), product-{F}(V3,V15,V14), product-{F}(V2,V16,V15), sum-{F}(V16,V5,V17), product-{F}(V2,V17,V18), product-{F}(V3,V18,V4) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2018: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V3 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V10 == V17, V17 == V31, V31 == V54, V11 == V18, V18 == V32, V32 == V55, V12 == V19, V19 == V33, V33 == V56; #1966 ), references = 1, size of lhs = 19:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), sum-{F}(V1,V2,V1), P_z-{F}(V3), sum-{F}(V3,V0,V3), product-{F}(V0,V3,V0), P_y_times_z-{F}(V4), sum-{F}(V2,V4,V2), sum-{F}(V3,V4,V5), sum-{F}(V3,V0,V5), product-{F}(V6,V1,V6), sum-{F}(V6,V0,V1), sum-{F}(V6,V0,V7), product-{F}(V2,V6,V8), product-{F}(V3,V8,V9), product-{F}(V0,V9,V0), product-{F}(V2,V7,V10), product-{F}(V3,V10,V4) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2083: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V35, V35 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V56, V56 == V58, V1 == V3, V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V57, V57 == V59, V4 == V18, V18 == V24, V24 == V37, V37 == V60, V19 == V25, V25 == V38, V38 == V61; #2026 ), references = 2, size of lhs = 19:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), sum-{F}(V1,V2,V1), P_z-{F}(V3), sum-{F}(V3,V0,V3), product-{F}(V0,V3,V0), sum-{F}(V3,V0,V4), product-{F}(V5,V1,V5), sum-{F}(V5,V0,V1), product-{F}(V2,V5,V2), sum-{F}(V5,V0,V6), product-{F}(V2,V6,V2), product-{F}(V3,V7,V3), sum-{F}(V2,V7,V8), product-{F}(V3,V8,V4), product-{F}(V2,V9,V2), sum-{F}(V9,V3,V10), product-{F}(V2,V10,V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2098: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #2092 ), references = 1, size of lhs = 15:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_y-{F}(V2), sum-{F}(V1,V2,V1), sum-{F}(V2,V1,V1), product-{F}(V3,V1,V3), sum-{F}(V3,V0,V1), product-{F}(V2,V3,V2), sum-{F}(V3,V0,V4), product-{F}(V2,V4,V2), product-{F}(V5,V1,V5), product-{F}(V2,V5,V2), sum-{F}(V5,V0,V1), sum-{F}(V5,V0,V6), product-{F}(V2,V6,V2) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2118: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #2107 ), references = 1, size of lhs = 4:
% 94.14/94.31 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V0,V1), product-{F}(V1,V1,V1) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2127: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #2121 ), references = 1, size of lhs = 1:
% 94.14/94.31 P_additive_identity-{F}(V0) | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 #2129: exists( #29, #2121 ), references = 1, size of lhs = 0:
% 94.14/94.31 FALSE | FALSE
% 94.14/94.31 (used 0 times, uses = {})
% 94.14/94.31
% 94.14/94.31 number of learnt formulas = 70
% 94.14/94.31
% 94.14/94.31
% 94.14/94.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 94.14/94.31
% 94.14/94.31 randbase = 1
%------------------------------------------------------------------------------