%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP776+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:04:33 EDT 2022
% Result : Theorem 30.07s 30.23s
% Output : Refutation 30.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP776+1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 13:58:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 30.07/30.23 GeoParameters:
% 30.07/30.23
% 30.07/30.23 tptp_input = 1
% 30.07/30.23 tptp_output = 0
% 30.07/30.23 nonempty = 1
% 30.07/30.23 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/30.23 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 30.07/30.23
% 30.07/30.23
% 30.07/30.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/30.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/30.23
% 30.07/30.23 RuleSystem INPUT:
% 30.07/30.23
% 30.07/30.23 Initial Rules:
% 30.07/30.23 #0: input, references = 7, size of lhs = 3:
% 30.07/30.23 g-{F}(V0), P_product-{F}(V0,V1,V2), g-{F}(V1) | g-{T}(V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #1: input, references = 24, size of lhs = 2:
% 30.07/30.23 P_inv-{F}(V0,V1), g-{F}(V0) | g-{T}(V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #2: input, references = 4, size of lhs = 1:
% 30.07/30.23 P_eh-{F}(V0) | g-{T}(V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #3: input, references = 11, size of lhs = 9:
% 30.07/30.23 P_eh-{F}(V0), g-{F}(V1), P_product-{F}(V1,V2,V3), g-{F}(V2), P_product-{F}(V3,V4,V5), P_product-{F}(V2,V4,V6), P_product-{F}(V1,V6,V7), g-{F}(V4), V5 == V7 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #4: input, references = 7, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), P_product-{F}(V0,V1,V2), g-{F}(V1), V2 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #5: input, references = 6, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), P_product-{F}(V1,V0,V2), g-{F}(V1), V2 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #6: input, references = 7, size of lhs = 5:
% 30.07/30.23 P_eh-{F}(V0), P_inv-{F}(V1,V2), P_product-{F}(V1,V2,V3), g-{F}(V1), V3 == V0 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #7: input, references = 8, size of lhs = 5:
% 30.07/30.23 P_eh-{F}(V0), P_inv-{F}(V1,V2), P_product-{F}(V2,V1,V3), g-{F}(V1), V3 == V0 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #8: input, references = 3, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), h-{F}(V1), P_sum-{F}(V1,V2,V3), h-{F}(V2) | h-{T}(V3)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #9: input, references = 8, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), P_opp-{F}(V1,V2), h-{F}(V3) | h-{T}(V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #10: input, references = 4, size of lhs = 2:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1) | h-{T}(V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #11: input, references = 13, size of lhs = 10:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2), P_sum-{F}(V2,V3,V4), h-{F}(V3), P_sum-{F}(V4,V5,V6), P_sum-{F}(V3,V5,V7), P_sum-{F}(V2,V7,V8), h-{F}(V5), V6 == V8 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #12: input, references = 5, size of lhs = 5:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_sum-{F}(V1,V2,V3), h-{F}(V2), V3 == V2 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #13: input, references = 4, size of lhs = 5:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_sum-{F}(V2,V1,V3), h-{F}(V2), V3 == V2 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #14: input, references = 6, size of lhs = 6:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_opp-{F}(V2,V3), P_sum-{F}(V2,V3,V4), h-{F}(V2), V4 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #15: input, references = 7, size of lhs = 6:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_opp-{F}(V2,V3), P_sum-{F}(V3,V2,V4), h-{F}(V2), V4 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #16: input, references = 28, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_f-{F}(V2,V3), g-{F}(V2) | h-{T}(V3)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #17: input, references = 11, size of lhs = 8:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_product-{F}(V3,V2,V4), P_f-{F}(V4,V5), P_f-{F}(V3,V6), P_f-{F}(V2,V7), P_sum-{F}(V6,V7,V8), V5 == V8 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #18: input, references = 4, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_f-{F}(V0,V1) | EXISTS V3: pppp0-{T}(V3)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #19: input, references = 7, size of lhs = 5:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V4), P_f-{F}(V0,V3), P_opp-{F}(V3,V4) | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #20: input, references = 49, size of lhs = 5:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_opp-{F}(V3,V4) | g-{T}(V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #21: input, references = 19, size of lhs = 2:
% 30.07/30.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_product-{T}(V0,V1,V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #22: input, references = 7, size of lhs = 1:
% 30.07/30.23 #-{F} V0 | EXISTS V1: P_inv-{T}(V0,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #23: input, references = 4, size of lhs = 0:
% 30.07/30.23 FALSE | EXISTS V0: P_eh-{T}(V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #24: input, references = 14, size of lhs = 2:
% 30.07/30.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_sum-{T}(V0,V1,V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #25: input, references = 27, size of lhs = 1:
% 30.07/30.23 #-{F} V0 | EXISTS V1: P_opp-{T}(V0,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #26: input, references = 4, size of lhs = 0:
% 30.07/30.23 FALSE | EXISTS V0: P_eg-{T}(V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #27: input, references = 34, size of lhs = 1:
% 30.07/30.23 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 number of initial rules = 28
% 30.07/30.23
% 30.07/30.23 Simplifiers:
% 30.07/30.23 #28: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_product-{F}(V0,V1,V2), P_product-{F}(V0,V1,V5), V2 == V5 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #29: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_inv-{F}(V0,V1), P_inv-{F}(V0,V3), V1 == V3 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #30: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), P_eh-{F}(V1), V0 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #31: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_sum-{F}(V0,V1,V2), P_sum-{F}(V0,V1,V5), V2 == V5 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #32: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_opp-{F}(V0,V1), P_opp-{F}(V0,V3), V1 == V3 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #33: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_eg-{F}(V0), P_eg-{F}(V1), V0 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #34: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #35: unsound, references = 3, size of lhs = 3:
% 30.07/30.23 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 number of simplifiers = 8
% 30.07/30.23
% 30.07/30.23 Learnt:
% 30.07/30.23 #38: exists( #24, #14 ), references = 5, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2), P_opp-{F}(V2,V3) | P_sum-{T}(V2,V3,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #39: exists( #24, #15 ), references = 2, size of lhs = 4:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2), P_opp-{F}(V2,V3) | P_sum-{T}(V3,V2,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #53: mergings( V2 == V4, V4 == V6, V5 == V0; #48 ), references = 1, size of lhs = 4:
% 30.07/30.23 h-{F}(V0), h-{F}(V1), P_eg-{F}(V1), P_eh-{F}(V2) | P_opp-{T}(V1,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #58: exists( #24, #13 ), references = 4, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2) | P_sum-{T}(V2,V1,V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #60: exists( #21, #5 ), references = 3, size of lhs = 2:
% 30.07/30.23 P_eh-{F}(V0), g-{F}(V1) | P_product-{T}(V1,V0,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #67: mergings( V0 == V2; #65 ), references = 1, size of lhs = 2:
% 30.07/30.23 g-{F}(V0), P_eh-{F}(V0) | P_inv-{T}(V0,V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #70: exists( #24, #12 ), references = 5, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2) | P_sum-{T}(V1,V2,V2)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #71: exists( #24, #11 ), references = 1, size of lhs = 8:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2), h-{F}(V3), P_sum-{F}(V2,V3,V4), h-{F}(V5), P_sum-{F}(V3,V5,V6), P_sum-{F}(V2,V6,V7) | P_sum-{T}(V4,V5,V7)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #73: exists( #27, #17 ), references = 9, size of lhs = 6:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_f-{F}(V2,V3), P_product-{F}(V2,V4,V5), P_f-{F}(V4,V6), P_sum-{F}(V3,V6,V7) | P_f-{T}(V5,V7)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #85: exists( #21, #4 ), references = 2, size of lhs = 2:
% 30.07/30.23 P_eh-{F}(V0), g-{F}(V1) | P_product-{T}(V0,V1,V1)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #88: exists( #24, #11 ), references = 1, size of lhs = 8:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), h-{F}(V2), h-{F}(V3), P_sum-{F}(V2,V3,V4), h-{F}(V5), P_sum-{F}(V4,V5,V6), P_sum-{F}(V3,V5,V7) | P_sum-{T}(V2,V7,V6)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #107: mergings( V2 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #101 ), references = 4, size of lhs = 7:
% 30.07/30.23 h-{F}(V0), P_eh-{F}(V1), P_eg-{F}(V2), h-{F}(V3), h-{F}(V4), P_sum-{F}(V3,V4,V2), P_sum-{F}(V2,V4,V5) | P_opp-{T}(V3,V5)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #116: exists( #27, #114 ), references = 2, size of lhs = 7:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V0,V4,V5), V5 == V0 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #118: exists( #21, #115 ), references = 2, size of lhs = 5:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4) | P_product-{T}(V0,V4,V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #124: exists( #21, #6 ), references = 7, size of lhs = 3:
% 30.07/30.23 P_eh-{F}(V0), g-{F}(V1), P_inv-{F}(V1,V2) | P_product-{T}(V1,V2,V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #153: mergings( V0 == V8, V5 == V6, V6 == V7, V9 == V2; #146 ), references = 2, size of lhs = 8:
% 30.07/30.23 pppp0-{F}(V0), P_f-{F}(V0,V1), P_opp-{F}(V1,V2), P_product-{F}(V0,V0,V3), P_eh-{F}(V3), P_product-{F}(V0,V3,V0), P_inv-{F}(V0,V4), V4 == V0 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #164: mergings( V0 == V7, V5 == V6, V8 == V2; #160 ), references = 1, size of lhs = 8:
% 30.07/30.23 pppp0-{F}(V0), P_product-{F}(V0,V0,V0), P_f-{F}(V0,V1), P_opp-{F}(V1,V2), P_eh-{F}(V3), V3 == V0, P_product-{F}(V0,V3,V0), P_inv-{F}(V0,V4) | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #179: mergings( V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11, V3 == V11; #172 ), references = 1, size of lhs = 7:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eg-{F}(V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_f-{F}(V4,V5) | P_f-{T}(V1,V5)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #190: mergings( V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10, V10 == V2, V2 == V12, V3 == V11; #181 ), references = 1, size of lhs = 6:
% 30.07/30.23 P_eh-{F}(V0), P_eg-{F}(V1), P_f-{F}(V0,V2), P_opp-{F}(V1,V2), pppp0-{F}(V3), P_f-{F}(V3,V1) | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #200: exists( #27, #196 ), references = 2, size of lhs = 7:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V4,V0,V5), V5 == V0 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #201: exists( #27, #197 ), references = 3, size of lhs = 12:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V5,V0,V6), g-{F}(V7), P_product-{F}(V6,V7,V8), P_product-{F}(V0,V7,V9), P_product-{F}(V5,V9,V10), V8 == V10 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #203: exists( #21, #198 ), references = 1, size of lhs = 5:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4) | P_product-{T}(V4,V0,V0)
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #224: exists( #27, #218 ), references = 2, size of lhs = 9:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_product-{F}(V0,V0,V4), P_inv-{F}(V4,V5), P_eh-{F}(V6), P_product-{F}(V6,V5,V7), V7 == V5 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #226: mergings( V6 == V8; #222 ), references = 2, size of lhs = 13:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_product-{F}(V0,V0,V4), P_inv-{F}(V4,V5), P_eh-{F}(V6), P_eg-{F}(V7), P_f-{F}(V6,V8), P_f-{F}(V4,V9), P_f-{F}(V5,V10), P_sum-{F}(V9,V10,V11), V8 == V11 | FALSE
% 30.07/30.23 (used 0 times, uses = {})
% 30.07/30.23
% 30.07/30.23 #227: exists( #27, #220 ), references = 2, size of lhs = 10:
% 30.07/30.23 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_product-{F}(V0,V0,V4), P_inv-{F}(V4,V5), P_eh-{F}(V6), P_inv-{F}(V5,V7), P_product-{F}(V7,V5,V8), V8 == V6 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #239: exists( #27, #237 ), references = 3, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_product-{F}(V0,V0,V4), P_eh-{F}(V5), P_inv-{F}(V4,V6), P_product-{F}(V6,V4,V7), V7 == V5 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #241: exists( #21, #238 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_product-{F}(V0,V0,V4), P_eh-{F}(V5), P_inv-{F}(V4,V6) | P_product-{T}(V6,V4,V5)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #246: exists( #27, #242 ), references = 2, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V5,V0,V6), P_product-{F}(V6,V0,V7), P_product-{F}(V0,V0,V8), P_product-{F}(V5,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #251: mergings( V2 == V5, V0 == V6, V3 == V7, V4 == V8; #245 ), references = 2, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V5,V0,V6), P_product-{F}(V6,V0,V7), P_product-{F}(V0,V0,V8), P_product-{F}(V5,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #256: exists( #21, #246 ), references = 3, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V5,V0,V6), P_product-{F}(V6,V0,V7), P_product-{F}(V0,V0,V8) | P_product-{T}(V5,V8,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #257: exists( #21, #251 ), references = 1, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V5,V0,V6), P_product-{F}(V6,V0,V7), P_product-{F}(V0,V0,V8) | P_product-{T}(V5,V8,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #271: mergings( V0 == V5, V6 == V7; #267 ), references = 2, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_opp-{F}(V1,V2), P_inv-{F}(V0,V3), P_inv-{F}(V3,V4), V3 == V4, P_eh-{F}(V4) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #278: exists( #27, #274 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V0,V0,V5), g-{F}(V6), P_product-{F}(V5,V6,V7), P_product-{F}(V0,V6,V8), P_product-{F}(V0,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #283: mergings( V2 == V5, V0 == V6, V3 == V7, V4 == V8; #277 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V0,V0,V5), g-{F}(V6), P_product-{F}(V5,V6,V7), P_product-{F}(V0,V6,V8), P_product-{F}(V0,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #286: exists( #21, #276 ), references = 2, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V0,V0,V5), g-{F}(V6), P_product-{F}(V0,V6,V7), P_product-{F}(V0,V7,V8) | P_product-{T}(V5,V6,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #291: mergings( V3 == V7, V4 == V8, V5 == V9, V6 == V10; #285 ), references = 1, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V0,V0,V5), g-{F}(V6), P_product-{F}(V0,V6,V7), P_product-{F}(V0,V7,V8) | P_product-{T}(V5,V6,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #316: mergings( V0 == V10, V2 == V6, V6 == V8, V8 == V13, V13 == V16, V7 == V9, V9 == V17, V4 == V11, V5 == V12, V15 == V3, V11 == V18; #304 ), references = 2, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_product-{F}(V0,V0,V2), P_f-{F}(V2,V3), P_eg-{F}(V3), P_eh-{F}(V4), P_product-{F}(V0,V4,V0), P_f-{F}(V0,V5), P_opp-{F}(V5,V6) | P_f-{T}(V1,V5)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #328: mergings( V2 == V6, V3 == V5, V7 == V11, V11 == V12, V0 == V9, V10 == V12, V8 == V12; #320 ), references = 2, size of lhs = 8:
% 30.07/30.24 P_eg-{F}(V0), P_eh-{F}(V1), pppp0-{F}(V2), P_product-{F}(V2,V1,V2), P_inv-{F}(V2,V3), P_f-{F}(V2,V4), P_opp-{F}(V4,V4), P_sum-{F}(V4,V4,V0) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #339: mergings( V2 == V7, V3 == V6, V4 == V8, V5 == V9, V8 == V10, V9 == V10, V10 == V11, V11 == V12; #330 ), references = 2, size of lhs = 6:
% 30.07/30.24 P_eg-{F}(V0), P_eh-{F}(V1), pppp0-{F}(V2), P_f-{F}(V2,V3), P_opp-{F}(V3,V3), P_sum-{F}(V3,V3,V0) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #345: exists( #25, #200 ), references = 1, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_product-{F}(V3,V0,V4), V4 == V0 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #346: exists( #25, #116 ), references = 2, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_product-{F}(V0,V3,V4), V4 == V0 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #348: exists( #21, #342 ), references = 3, size of lhs = 4:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3) | P_product-{T}(V3,V0,V0)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #350: exists( #21, #346 ), references = 1, size of lhs = 4:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3) | P_product-{T}(V0,V3,V0)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #354: exists( #25, #224 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_product-{F}(V0,V0,V3), P_inv-{F}(V3,V4), P_eh-{F}(V5), P_product-{F}(V5,V4,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #355: exists( #25, #227 ), references = 1, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_product-{F}(V0,V0,V3), P_inv-{F}(V3,V4), P_eh-{F}(V5), P_inv-{F}(V4,V6), P_product-{F}(V6,V4,V7), V7 == V5 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #356: exists( #25, #239 ), references = 2, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_product-{F}(V0,V0,V3), P_eh-{F}(V4), P_inv-{F}(V3,V5), P_product-{F}(V5,V3,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #358: exists( #25, #153 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_product-{F}(V0,V0,V2), P_eh-{F}(V2), P_product-{F}(V0,V2,V0), P_inv-{F}(V0,V3), V3 == V0 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #372: mergings( V3 == V6, V5 == V7, V7 == V10, V10 == V12, V8 == V11, V11 == V13, V4 == V13, V0 == V9; #363 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V1,V3), P_eg-{F}(V3), P_eh-{F}(V4), P_f-{F}(V4,V5), V5 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #381: mergings( V2 == V5, V4 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11, V3 == V11; #373 ), references = 1, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_eg-{F}(V2), P_eh-{F}(V3), P_f-{F}(V3,V4) | P_f-{T}(V0,V4)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #399: exists( #24, #17 ), references = 37, size of lhs = 6:
% 30.07/30.24 P_eh-{F}(V0), P_eg-{F}(V1), P_f-{F}(V2,V3), P_product-{F}(V2,V4,V5), P_f-{F}(V5,V6), P_f-{F}(V4,V7) | P_sum-{T}(V3,V7,V6)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #401: exists( #25, #226 ), references = 1, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_product-{F}(V0,V0,V3), P_inv-{F}(V3,V4), P_eh-{F}(V5), P_eg-{F}(V6), P_f-{F}(V5,V7), P_f-{F}(V3,V8), P_f-{F}(V4,V9), P_sum-{F}(V8,V9,V10), V7 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #412: mergings( V3 == V6; #408 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_eh-{F}(V2), P_inv-{F}(V0,V3), P_f-{F}(V3,V4), P_product-{F}(V0,V3,V5), V5 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #414: mergings( V3 == V6; #409 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_eh-{F}(V2), P_inv-{F}(V0,V3), P_f-{F}(V3,V4), P_product-{F}(V3,V0,V5), V5 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #418: mergings( V3 == V1; #415 ), references = 2, size of lhs = 5:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_eh-{F}(V2), P_inv-{F}(V0,V3), P_f-{F}(V3,V4) | P_product-{T}(V0,V3,V2)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #420: mergings( V3 == V0; #416 ), references = 13, size of lhs = 5:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_eh-{F}(V2), P_inv-{F}(V0,V3), P_f-{F}(V3,V4) | P_product-{T}(V3,V0,V2)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #427: mergings( V5 == V8, V6 == V9, V0 == V7; #423 ), references = 5, size of lhs = 13:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V8,V3,V9), P_sum-{F}(V7,V3,V10), P_sum-{F}(V6,V10,V11), V9 == V11 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #442: mergings( V5 == V8, V6 == V9, V0 == V7; #438 ), references = 3, size of lhs = 13:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), P_sum-{F}(V3,V6,V7), h-{F}(V8), P_sum-{F}(V7,V8,V9), P_sum-{F}(V6,V8,V10), P_sum-{F}(V3,V10,V11), V9 == V11 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #460: mergings( V5 == V8, V6 == V9, V0 == V7; #454 ), references = 2, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), P_sum-{F}(V3,V3,V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V3,V7,V9), P_sum-{F}(V3,V9,V10), V8 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #468: mergings( V5 == V12, V6 == V13, V0 == V7, V2 == V8, V3 == V9, V4 == V10, V7 == V11; #455 ), references = 2, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), P_sum-{F}(V3,V3,V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V3,V7,V9), P_sum-{F}(V3,V9,V10), V8 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #476: mergings( V5 == V12, V6 == V13, V0 == V7, V2 == V8, V3 == V9, V4 == V10, V7 == V11; #456 ), references = 5, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), P_sum-{F}(V6,V3,V7), P_sum-{F}(V7,V3,V8), P_sum-{F}(V3,V3,V9), P_sum-{F}(V6,V9,V10), V8 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #502: mergings( V5 == V9, V6 == V10, V0 == V7, V2 == V12, V3 == V13, V4 == V11; #493 ), references = 1, size of lhs = 9:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_eg-{F}(V2), pppp0-{F}(V3), P_f-{F}(V3,V4), P_sum-{F}(V4,V4,V2), P_sum-{F}(V2,V4,V5), P_inv-{F}(V3,V6), P_f-{F}(V6,V5) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #509: mergings( V5 == V9, V9 == V12, V10 == V11, V6 == V11, V0 == V7, V2 == V13; #494 ), references = 2, size of lhs = 9:
% 30.07/30.24 h-{F}(V0), P_eg-{F}(V1), P_eh-{F}(V2), pppp0-{F}(V3), P_inv-{F}(V3,V4), P_f-{F}(V4,V5), P_f-{F}(V3,V6), P_sum-{F}(V1,V6,V6), P_sum-{F}(V6,V6,V1) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #517: mergings( V5 == V9, V9 == V12, V10 == V11, V6 == V11, V0 == V7, V2 == V13, V3 == V14; #495 ), references = 2, size of lhs = 10:
% 30.07/30.24 h-{F}(V0), P_eg-{F}(V1), P_eh-{F}(V2), pppp0-{F}(V3), P_product-{F}(V3,V2,V3), P_f-{F}(V3,V4), P_sum-{F}(V1,V4,V4), P_sum-{F}(V4,V4,V1), P_inv-{F}(V3,V5), P_f-{F}(V5,V6) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #543: mergings( V0 == V2, V3 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V13, V5 == V8, V8 == V10, V10 == V11; #532 ), references = 1, size of lhs = 6:
% 30.07/30.24 P_eg-{F}(V0), h-{F}(V1), P_eh-{F}(V2), P_f-{F}(V2,V0), pppp0-{F}(V3), P_inv-{F}(V3,V3) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #560: mergings( V2 == V5, V5 == V11, V3 == V4, V4 == V7, V7 == V9, V9 == V13, V8 == V10, V10 == V14, V6 == V12, V12 == V16, V17 == V18; #548 ), references = 1, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_eh-{F}(V2), P_eg-{F}(V3), h-{F}(V4), h-{F}(V5), P_f-{F}(V1,V5), P_sum-{F}(V4,V5,V6), P_f-{F}(V2,V6), P_sum-{F}(V4,V6,V7) | P_f-{T}(V0,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #593: mergings( V3 == V9, V9 == V12, V4 == V10, V10 == V13, V7 == V11, V8 == V14; #584 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_opp-{F}(V2,V5), P_sum-{F}(V2,V5,V6), V6 == V4, P_f-{F}(V7,V8), P_product-{F}(V7,V9,V1), P_f-{F}(V9,V10) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #600: mergings( V3 == V9, V9 == V12, V4 == V10, V10 == V13, V7 == V11, V8 == V14; #585 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_opp-{F}(V2,V5), P_sum-{F}(V5,V2,V6), V6 == V4, P_f-{F}(V7,V8), P_product-{F}(V7,V9,V1), P_f-{F}(V9,V10) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #613: mergings( V3 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V20, V4 == V13, V13 == V15, V15 == V17, V17 == V21, V6 == V18, V10 == V18, V5 == V9; #586 ), references = 2, size of lhs = 14:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_opp-{F}(V2,V3), P_eh-{F}(V4), P_f-{F}(V4,V5), P_eg-{F}(V6), h-{F}(V7), P_sum-{F}(V7,V2,V2), P_sum-{F}(V7,V5,V8), V5 == V8, P_f-{F}(V9,V10), P_product-{F}(V9,V11,V1), P_f-{F}(V11,V12) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #623: exists( #27, #476 ), references = 5, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), P_sum-{F}(V5,V2,V6), P_sum-{F}(V6,V2,V7), P_sum-{F}(V2,V2,V8), P_sum-{F}(V5,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #624: exists( #27, #460 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_sum-{F}(V2,V2,V5), h-{F}(V6), P_sum-{F}(V5,V6,V7), P_sum-{F}(V2,V6,V8), P_sum-{F}(V2,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #625: exists( #27, #468 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_sum-{F}(V2,V2,V5), h-{F}(V6), P_sum-{F}(V5,V6,V7), P_sum-{F}(V2,V6,V8), P_sum-{F}(V2,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #628: exists( #27, #442 ), references = 2, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), P_sum-{F}(V2,V5,V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V5,V7,V9), P_sum-{F}(V2,V9,V10), V8 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #630: exists( #24, #628 ), references = 1, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), P_sum-{F}(V2,V5,V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V5,V7,V9) | P_sum-{T}(V2,V9,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #632: exists( #27, #427 ), references = 3, size of lhs = 12:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), h-{F}(V6), P_sum-{F}(V5,V6,V7), P_sum-{F}(V7,V2,V8), P_sum-{F}(V6,V2,V9), P_sum-{F}(V5,V9,V10), V8 == V10 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #634: exists( #24, #631 ), references = 1, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), h-{F}(V6), P_sum-{F}(V5,V6,V7), P_sum-{F}(V6,V2,V8), P_sum-{F}(V5,V8,V9) | P_sum-{T}(V7,V2,V9)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #646: mergings( V5 == V8, V6 == V9, V3 == V7, V4 == V10; #640 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_opp-{F}(V2,V5), P_sum-{F}(V2,V5,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #651: mergings( V5 == V8, V6 == V9, V3 == V7, V4 == V10; #641 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), P_opp-{F}(V2,V5), P_sum-{F}(V5,V2,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #685: exists( #24, #632 ), references = 6, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), h-{F}(V6), P_sum-{F}(V5,V6,V7), P_sum-{F}(V7,V2,V8), P_sum-{F}(V6,V2,V9) | P_sum-{T}(V5,V9,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #686: exists( #24, #427 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), h-{F}(V7), P_sum-{F}(V6,V7,V8), P_sum-{F}(V8,V3,V9), P_sum-{F}(V7,V3,V10) | P_sum-{T}(V6,V10,V9)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #687: exists( #24, #623 ), references = 4, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_eg-{F}(V4), h-{F}(V5), P_sum-{F}(V5,V2,V6), P_sum-{F}(V6,V2,V7), P_sum-{F}(V2,V2,V8) | P_sum-{T}(V5,V8,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #720: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V15, V15 == V21, V6 == V8, V8 == V10, V10 == V16, V16 == V22, V3 == V13, V2 == V11, V0 == V12, V11 == V17, V12 == V18; #703 ), references = 1, size of lhs = 16:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1), P_inv-{F}(V0,V3), P_f-{F}(V4,V1), P_f-{F}(V5,V1), P_product-{F}(V4,V5,V3), P_eh-{F}(V6), P_eg-{F}(V7), h-{F}(V8), P_f-{F}(V9,V8), P_product-{F}(V9,V2,V3), P_sum-{F}(V8,V8,V10), P_sum-{F}(V10,V1,V11), P_f-{F}(V6,V12), V12 == V11 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #735: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V17, V17 == V21, V6 == V8, V8 == V10, V10 == V18, V18 == V22, V3 == V13, V2 == V11, V0 == V12, V11 == V19, V12 == V20; #704 ), references = 1, size of lhs = 16:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1), P_f-{F}(V3,V1), P_f-{F}(V4,V1), P_product-{F}(V3,V4,V5), P_inv-{F}(V0,V5), P_eh-{F}(V6), P_eg-{F}(V7), P_f-{F}(V6,V8), h-{F}(V9), P_f-{F}(V10,V9), P_product-{F}(V10,V2,V5), P_sum-{F}(V9,V9,V11), P_sum-{F}(V11,V1,V12), V12 == V8 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #749: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V15, V15 == V20, V6 == V8, V8 == V10, V10 == V16, V16 == V21, V3 == V13, V2 == V11, V0 == V12, V11 == V17; #705 ), references = 1, size of lhs = 16:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1), P_inv-{F}(V0,V3), P_f-{F}(V4,V1), P_f-{F}(V5,V1), P_product-{F}(V4,V5,V3), P_eh-{F}(V6), P_eg-{F}(V7), h-{F}(V8), P_f-{F}(V9,V8), P_product-{F}(V9,V2,V3), P_sum-{F}(V8,V8,V10), P_sum-{F}(V10,V1,V11), P_f-{F}(V6,V12), V12 == V11 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #826: mergings( V4 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V26, V6 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V27, V3 == V11, V2 == V9, V0 == V10, V9 == V21, V10 == V22; #806 ), references = 1, size of lhs = 22:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1), P_inv-{F}(V0,V3), P_f-{F}(V4,V1), P_f-{F}(V5,V1), P_product-{F}(V4,V5,V6), P_eh-{F}(V7), P_eg-{F}(V8), h-{F}(V9), P_f-{F}(V10,V9), P_product-{F}(V10,V2,V3), P_sum-{F}(V9,V9,V11), P_sum-{F}(V11,V1,V12), P_f-{F}(V7,V13), V13 == V12, P_f-{F}(V14,V15), P_f-{F}(V16,V15), P_product-{F}(V16,V17,V6), P_f-{F}(V17,V18), P_f-{F}(V19,V18), P_product-{F}(V14,V19,V3) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #844: mergings( V4 == V5, V5 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V25, V6 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V26, V3 == V11, V2 == V9, V0 == V10, V9 == V21; #807 ), references = 1, size of lhs = 22:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1), P_inv-{F}(V0,V3), P_f-{F}(V4,V1), P_f-{F}(V5,V1), P_product-{F}(V4,V5,V6), P_eh-{F}(V7), P_eg-{F}(V8), h-{F}(V9), P_f-{F}(V10,V9), P_product-{F}(V10,V2,V3), P_sum-{F}(V9,V9,V11), P_sum-{F}(V11,V1,V12), P_f-{F}(V7,V13), V13 == V12, P_f-{F}(V14,V15), P_f-{F}(V16,V15), P_product-{F}(V16,V17,V6), P_f-{F}(V17,V18), P_f-{F}(V19,V18), P_product-{F}(V14,V19,V3) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #890: exists( #25, #271 ), references = 1, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_inv-{F}(V2,V3), V2 == V3, P_eh-{F}(V3) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #931: mergings( V4 == V5, V5 == V7, V7 == V13, V6 == V8, V8 == V14, V3 == V11, V2 == V9, V0 == V10; #921 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_sum-{F}(V2,V2,V2), P_f-{F}(V3,V2), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), P_f-{F}(V7,V6), P_product-{F}(V7,V3,V1), P_f-{F}(V4,V8) | P_f-{T}(V1,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #939: mergings( V4 == V5, V5 == V7, V7 == V12, V6 == V8, V8 == V13, V3 == V10, V2 == V9; #922 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_sum-{F}(V2,V2,V2), P_f-{F}(V3,V2), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), P_f-{F}(V7,V6), P_product-{F}(V7,V3,V1), P_f-{F}(V4,V8) | P_f-{T}(V1,V8)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #995: mergings( V3 == V5; #991 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V2,V4,V5), V5 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #999: mergings( V5 == V8, V6 == V9, V0 == V7; #992 ), references = 4, size of lhs = 13:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), P_eg-{F}(V5), h-{F}(V6), P_sum-{F}(V6,V3,V7), h-{F}(V8), P_sum-{F}(V7,V8,V9), P_sum-{F}(V3,V8,V10), P_sum-{F}(V6,V10,V11), V9 == V11 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1001: mergings( V3 == V5; #993 ), references = 3, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), g-{F}(V5), P_product-{F}(V2,V5,V6), P_product-{F}(V6,V0,V7), P_product-{F}(V5,V0,V8), P_product-{F}(V2,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1005: mergings( V4 == V0; #1003 ), references = 3, size of lhs = 5:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4) | P_product-{T}(V2,V4,V2)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1015: exists( #25, #613 ), references = 1, size of lhs = 13:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_f-{F}(V3,V4), P_eg-{F}(V5), h-{F}(V6), P_sum-{F}(V6,V2,V2), P_sum-{F}(V6,V4,V7), V4 == V7, P_f-{F}(V8,V9), P_product-{F}(V8,V10,V1), P_f-{F}(V10,V11) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1047: mergings( V3 == V5, V9 == V6, V10 == V5; #1041 ), references = 2, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V2,V0,V4), P_product-{F}(V2,V4,V2), P_product-{F}(V2,V2,V5), P_product-{F}(V5,V0,V6), V6 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1055: mergings( V3 == V5, V2 == V6, V5 == V8, V4 == V9, V0 == V7, V13 == V10, V14 == V8; #1042 ), references = 1, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V2,V0,V4), P_product-{F}(V2,V4,V2), P_product-{F}(V2,V2,V5), P_product-{F}(V5,V0,V6), V6 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1057: mergings( V3 == V5; #1043 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_inv-{F}(V2,V5), P_product-{F}(V2,V5,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1060: mergings( V4 == V0; #1058 ), references = 3, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_inv-{F}(V2,V5) | P_product-{T}(V2,V5,V4)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1076: mergings( V6 == V10, V8 == V9, V2 == V4, V3 == V5, V4 == V7, V5 == V9, V11 == V7; #1067 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), V0 == V1, P_inv-{F}(V1,V1), P_f-{F}(V0,V2), P_eh-{F}(V3), P_product-{F}(V3,V0,V0) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1138: mergings( V3 == V5; #1135 ), references = 1, size of lhs = 11:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V2,V2,V5), g-{F}(V6), P_product-{F}(V5,V6,V7), P_product-{F}(V2,V6,V8), P_product-{F}(V2,V8,V9), V7 == V9 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1156: mergings( V4 == V12, V2 == V9, V3 == V10, V0 == V11; #1150 ), references = 1, size of lhs = 10:
% 30.07/30.24 g-{F}(V0), pppp0-{F}(V1), P_product-{F}(V0,V1,V2), P_product-{F}(V2,V1,V3), P_product-{F}(V1,V1,V4), P_inv-{F}(V4,V0), P_inv-{F}(V1,V5), P_f-{F}(V1,V6), P_eh-{F}(V7), V3 == V7 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1160: mergings( V4 == V11, V2 == V9, V3 == V10; #1151 ), references = 1, size of lhs = 10:
% 30.07/30.24 g-{F}(V0), pppp0-{F}(V1), P_product-{F}(V0,V1,V2), P_product-{F}(V2,V1,V3), P_product-{F}(V1,V1,V4), P_inv-{F}(V4,V0), P_f-{F}(V1,V5), P_inv-{F}(V1,V6), P_eh-{F}(V7), V3 == V7 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1184: mergings( V3 == V5; #1182 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_inv-{F}(V2,V5), P_product-{F}(V5,V2,V6), V6 == V4 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1187: mergings( V4 == V1; #1185 ), references = 1, size of lhs = 6:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_inv-{F}(V2,V5) | P_product-{T}(V5,V2,V4)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1200: mergings( V2 == V8, V8 == V17, V17 == V19, V3 == V9, V9 == V20, V4 == V15, V5 == V0, V6 == V16; #1191 ), references = 1, size of lhs = 16:
% 30.07/30.24 h-{F}(V0), h-{F}(V1), P_f-{F}(V2,V1), P_sum-{F}(V0,V1,V3), pppp0-{F}(V4), P_inv-{F}(V4,V5), P_product-{F}(V2,V6,V5), P_f-{F}(V6,V7), P_f-{F}(V4,V7), P_sum-{F}(V3,V7,V8), P_inv-{F}(V5,V9), P_f-{F}(V9,V0), P_eh-{F}(V10), P_eg-{F}(V11), P_f-{F}(V10,V12), V12 == V8 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1227: mergings( V2 == V5, V3 == V7, V4 == V8, V0 == V6, V10 == V9, V11 == V5; #1220 ), references = 1, size of lhs = 10:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V2,V0,V4), P_product-{F}(V4,V0,V0), P_product-{F}(V0,V0,V5), P_product-{F}(V2,V5,V6), V0 == V6 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1239: mergings( V2 == V5, V5 == V12, V8 == V9, V3 == V7, V4 == V9, V7 == V10, V9 == V11, V13 == V10; #1230 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_inv-{F}(V1,V2), P_product-{F}(V0,V0,V2), P_f-{F}(V0,V3), P_eh-{F}(V4), V0 == V4, P_product-{F}(V4,V0,V0) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1286: mergings( V3 == V5, V5 == V7, V7 == V15, V15 == V22, V4 == V6, V6 == V8, V8 == V16, V16 == V23, V9 == V17, V10 == V18, V11 == V20, V25 == V0; #1273 ), references = 1, size of lhs = 19:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_product-{F}(V4,V5,V6), P_f-{F}(V7,V3), P_eh-{F}(V8), P_eg-{F}(V9), h-{F}(V10), P_sum-{F}(V10,V3,V11), P_sum-{F}(V11,V3,V12), h-{F}(V13), P_f-{F}(V14,V13), P_product-{F}(V7,V14,V6), P_f-{F}(V15,V11), P_product-{F}(V15,V16,V6), P_f-{F}(V16,V13) | P_sum-{T}(V11,V13,V12)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1325: mergings( V3 == V5, V5 == V7, V7 == V15, V15 == V22, V4 == V6, V6 == V8, V8 == V16, V16 == V23, V9 == V17, V10 == V18, V11 == V20, V25 == V27; #1312 ), references = 2, size of lhs = 21:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_product-{F}(V4,V5,V6), P_f-{F}(V7,V3), P_eh-{F}(V8), P_eg-{F}(V9), h-{F}(V10), P_sum-{F}(V10,V3,V11), P_sum-{F}(V11,V3,V12), h-{F}(V13), P_f-{F}(V14,V13), P_product-{F}(V7,V14,V6), P_sum-{F}(V11,V13,V15), V15 == V12, P_f-{F}(V16,V17), P_product-{F}(V16,V18,V6), P_f-{F}(V18,V19) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1374: mergings( V3 == V5, V6 == V17, V7 == V18, V4 == V8, V2 == V9, V5 == V10, V0 == V12, V8 == V11; #1363 ), references = 1, size of lhs = 20:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V0,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_product-{F}(V4,V5,V6), P_f-{F}(V7,V3), P_eh-{F}(V8), P_eg-{F}(V9), P_sum-{F}(V2,V3,V10), P_sum-{F}(V10,V3,V11), h-{F}(V12), P_f-{F}(V13,V12), P_product-{F}(V7,V13,V6), P_sum-{F}(V10,V12,V14), V14 == V11, P_f-{F}(V15,V16), P_product-{F}(V15,V17,V6), P_f-{F}(V17,V18) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1379: mergings( V3 == V5, V6 == V9, V7 == V10, V4 == V8; #1364 ), references = 1, size of lhs = 9:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_eg-{F}(V5), P_opp-{F}(V3,V6), P_sum-{F}(V6,V3,V7), V7 == V5 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1394: mergings( V4 == V5, V5 == V9, V9 == V18, V6 == V10, V10 == V19, V3 == V12, V2 == V7, V8 == V12, V7 == V11; #1384 ), references = 1, size of lhs = 19:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_product-{F}(V3,V4,V5), P_f-{F}(V6,V2), P_eh-{F}(V7), P_f-{F}(V7,V8), P_eg-{F}(V9), P_sum-{F}(V8,V2,V10), h-{F}(V11), P_f-{F}(V12,V11), P_product-{F}(V6,V12,V5), P_sum-{F}(V8,V11,V13), V13 == V10, P_f-{F}(V14,V15), P_product-{F}(V14,V16,V5), P_f-{F}(V16,V17) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1400: exists( #27, #509 ), references = 1, size of lhs = 8:
% 30.07/30.24 h-{F}(V0), P_eg-{F}(V1), P_eh-{F}(V2), pppp0-{F}(V3), P_inv-{F}(V3,V4), P_f-{F}(V3,V5), P_sum-{F}(V1,V5,V5), P_sum-{F}(V5,V5,V1) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1401: exists( #27, #517 ), references = 1, size of lhs = 9:
% 30.07/30.24 h-{F}(V0), P_eg-{F}(V1), P_eh-{F}(V2), pppp0-{F}(V3), P_product-{F}(V3,V2,V3), P_f-{F}(V3,V4), P_sum-{F}(V1,V4,V4), P_sum-{F}(V4,V4,V1), P_inv-{F}(V3,V5) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1445: mergings( V4 == V5, V5 == V9, V9 == V11, V6 == V12, V13 == V14, V2 == V7, V3 == V8; #1437 ), references = 1, size of lhs = 8:
% 30.07/30.24 pppp0-{F}(V0), P_inv-{F}(V0,V1), P_f-{F}(V0,V2), P_inv-{F}(V1,V3), P_eh-{F}(V4), P_eg-{F}(V5), P_f-{F}(V3,V6), P_f-{F}(V4,V6) | P_f-{T}(V1,V6)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1482: mergings( V3 == V5; #1478 ), references = 1, size of lhs = 7:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4), P_product-{F}(V4,V2,V5), V5 == V2 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1497: mergings( V4 == V1; #1493 ), references = 1, size of lhs = 5:
% 30.07/30.24 pppp0-{F}(V0), P_f-{F}(V0,V1), P_inv-{F}(V0,V2), P_f-{F}(V2,V3), P_eh-{F}(V4) | P_product-{T}(V4,V2,V2)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1565: mergings( V7 == V9, V2 == V4, V4 == V10, V10 == V12, V12 == V15, V15 == V17, V5 == V11, V11 == V13, V13 == V16, V16 == V18, V8 == V14; #1552 ), references = 1, size of lhs = 9:
% 30.07/30.24 h-{F}(V0), pppp0-{F}(V1), P_inv-{F}(V1,V2), P_f-{F}(V1,V3), P_f-{F}(V2,V4), P_sum-{F}(V4,V3,V5), P_eg-{F}(V5), P_eh-{F}(V6), P_sum-{F}(V4,V5,V7) | P_opp-{T}(V3,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1580: mergings( V7 == V9, V2 == V4, V4 == V10, V10 == V12, V12 == V15, V15 == V20, V5 == V11, V11 == V13, V13 == V16, V16 == V21, V8 == V14, V6 == V17, V9 == V18, V14 == V19; #1553 ), references = 1, size of lhs = 9:
% 30.07/30.24 h-{F}(V0), pppp0-{F}(V1), P_f-{F}(V1,V2), P_inv-{F}(V1,V3), P_f-{F}(V3,V4), P_sum-{F}(V4,V2,V5), P_eg-{F}(V5), P_eh-{F}(V6), P_sum-{F}(V4,V5,V7) | P_opp-{T}(V2,V7)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1607: mergings( V4 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V20, V20 == V22, V22 == V24, V9 == V11, V11 == V15, V15 == V18, V18 == V21, V21 == V23, V23 == V25, V3 == V19, V2 == V5, V6 == V19, V5 == V16, V16 == V26; #1586 ), references = 1, size of lhs = 7:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_f-{F}(V1,V2), P_eg-{F}(V2), pppp0-{F}(V3), P_f-{F}(V3,V4), P_inv-{F}(V3,V5) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1624: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #1608 ), references = 1, size of lhs = 6:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_f-{F}(V1,V2), P_eg-{F}(V2), pppp0-{F}(V3), P_inv-{F}(V3,V4) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1641: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1625 ), references = 1, size of lhs = 5:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_f-{F}(V1,V2), P_eg-{F}(V2), pppp0-{F}(V3) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1660: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V1 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #1642 ), references = 2, size of lhs = 4:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_f-{F}(V1,V2), P_eg-{F}(V2) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1677: mergings( V2 == V4, V4 == V6, V5 == V7; #1673 ), references = 1, size of lhs = 8:
% 30.07/30.24 h-{F}(V0), P_eh-{F}(V1), P_eg-{F}(V2), h-{F}(V3), h-{F}(V4), P_sum-{F}(V3,V4,V4), P_sum-{F}(V3,V2,V5), V2 == V5 | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1690: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V3 == V5, V5 == V10, V10 == V12; #1681 ), references = 1, size of lhs = 5:
% 30.07/30.24 g-{F}(V0), P_product-{F}(V0,V0,V0), h-{F}(V1), P_eh-{F}(V2), P_eg-{F}(V3) | P_f-{T}(V0,V3)
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1701: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1693 ), references = 1, size of lhs = 3:
% 30.07/30.24 g-{F}(V0), P_product-{F}(V0,V0,V0), P_eh-{F}(V0) | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 #1705: exists( #23, #1703 ), references = 1, size of lhs = 0:
% 30.07/30.24 FALSE | FALSE
% 30.07/30.24 (used 0 times, uses = {})
% 30.07/30.24
% 30.07/30.24 number of learnt formulas = 126
% 30.07/30.24
% 30.07/30.24
% 30.07/30.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.07/30.24
% 30.07/30.24 randbase = 1
%------------------------------------------------------------------------------