TSTP Solution File: KLE011+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE011+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:06:55 EDT 2022
% Result : Theorem 56.21s 56.42s
% Output : Refutation 56.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE011+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n015.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 16:56:36 EDT 2022
% 0.11/0.33 % CPUTime :
% 56.21/56.42 GeoParameters:
% 56.21/56.42
% 56.21/56.42 tptp_input = 1
% 56.21/56.42 tptp_output = 0
% 56.21/56.42 nonempty = 1
% 56.21/56.42 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.21/56.42 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 56.21/56.42
% 56.21/56.42
% 56.21/56.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.21/56.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.21/56.42
% 56.21/56.42 RuleSystem INPUT:
% 56.21/56.42
% 56.21/56.42 Initial Rules:
% 56.21/56.42 #0: input, references = 4, size of lhs = 3:
% 56.21/56.42 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #1: input, references = 5, size of lhs = 5:
% 56.21/56.42 P_addition-{F}(V1,V0,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V2,V1,V5), P_addition-{F}(V5,V0,V6), V4 == V6 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #2: input, references = 4, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #3: input, references = 4, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #4: input, references = 3, size of lhs = 6:
% 56.21/56.42 P_zero-{F}(V0), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V1,V2,V6), P_multiplication-{F}(V6,V3,V7), V5 == V7 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #5: input, references = 4, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #6: input, references = 4, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #7: input, references = 5, size of lhs = 8:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V2,V3,V7), P_multiplication-{F}(V2,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #8: input, references = 8, size of lhs = 8:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V2,V4,V7), P_multiplication-{F}(V3,V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #9: input, references = 4, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #10: input, references = 4, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #11: input, references = 3, size of lhs = 5:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #12: input, references = 3, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #13: input, references = 6, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #14: input, references = 8, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #15: input, references = 5, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #16: input, references = 8, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #17: input, references = 8, size of lhs = 1:
% 56.21/56.42 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #18: input, references = 21, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #19: input, references = 5, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #20: input, references = 6, size of lhs = 7:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V4 == V0 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #21: input, references = 6, size of lhs = 7:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V5 == V0 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #22: input, references = 9, size of lhs = 7:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_addition-{F}(V2,V3,V6), pppp1-{F}(V2,V3), V6 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #23: input, references = 5, size of lhs = 5:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0), P_addition-{F}(V2,V3,V1) | pppp1-{T}(V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #24: input, references = 19, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #25: input, references = 6, size of lhs = 6:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #26: input, references = 14, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #27: input, references = 6, size of lhs = 10:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_multiplication-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #28: input, references = 5, size of lhs = 10:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_addition-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #29: input, references = 4, size of lhs = 2:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #30: input, references = 5, size of lhs = 3:
% 56.21/56.42 pppp4-{F}(V0,V1), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #31: input, references = 5, size of lhs = 3:
% 56.21/56.42 pppp4-{F}(V0,V1), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | test-{T}(V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #32: input, references = 7, size of lhs = 8:
% 56.21/56.42 pppp3-{F}(V0,V1,V11,V3,V4), P_multiplication-{F}(V4,V0,V5), P_c-{F}(V0,V6), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V1,V8), P_addition-{F}(V5,V8,V9), P_multiplication-{F}(V6,V3,V10), P_addition-{F}(V9,V10,V11) | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #33: input, references = 9, size of lhs = 8:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V4,V0,V5), P_c-{F}(V0,V6), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V1,V8), P_addition-{F}(V5,V8,V9), P_multiplication-{F}(V6,V3,V10), P_addition-{F}(V9,V10,V11) | test-{T}(V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #34: input, references = 12, size of lhs = 2:
% 56.21/56.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #35: input, references = 4, size of lhs = 0:
% 56.21/56.42 FALSE | EXISTS V0: P_zero-{T}(V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #36: input, references = 18, size of lhs = 2:
% 56.21/56.42 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #37: input, references = 4, size of lhs = 0:
% 56.21/56.42 FALSE | EXISTS V0: P_one-{T}(V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #38: input, references = 11, size of lhs = 1:
% 56.21/56.42 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 number of initial rules = 39
% 56.21/56.42
% 56.21/56.42 Simplifiers:
% 56.21/56.42 #39: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #40: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #41: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #42: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #43: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #44: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #45: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #46: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V8,V9), V1 == V6 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #47: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #48: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #49: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V3,V9), V4 == V9 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #50: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #51: unsound, references = 3, size of lhs = 3:
% 56.21/56.42 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 number of simplifiers = 13
% 56.21/56.42
% 56.21/56.42 Learnt:
% 56.21/56.42 #53: exists( #34, #3 ), references = 4, size of lhs = 2:
% 56.21/56.42 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #56: exists( #36, #5 ), references = 15, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #57: exists( #36, #6 ), references = 15, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #60: exists( #36, #9 ), references = 7, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #61: exists( #36, #10 ), references = 6, size of lhs = 3:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #63: exists( #34, #2 ), references = 15, size of lhs = 2:
% 56.21/56.42 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #69: exists( #36, #22 ), references = 1, size of lhs = 5:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #71: mergings( V4 == V3; #66 ), references = 1, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #77: exists( #34, #0 ), references = 30, size of lhs = 1:
% 56.21/56.42 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #81: exists( #38, #25 ), references = 5, size of lhs = 4:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #89: exists( #34, #85 ), references = 5, size of lhs = 6:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0, P_multiplication-{F}(V3,V2,V5) | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #91: mergings( V5 == V3; #88 ), references = 1, size of lhs = 6:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #99: exists( #38, #28 ), references = 5, size of lhs = 8:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #104: exists( #38, #27 ), references = 2, size of lhs = 8:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_multiplication-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 56.21/56.42 (used 0 times, uses = {})
% 56.21/56.42
% 56.21/56.42 #121: exists( #34, #28 ), references = 3, size of lhs = 8:
% 56.21/56.42 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_addition-{T}(V7,V3,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #125: exists( #36, #27 ), references = 2, size of lhs = 8:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #147: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #139 ), references = 1, size of lhs = 3:
% 56.21/56.43 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #171: exists( #34, #1 ), references = 5, size of lhs = 3:
% 56.21/56.43 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #186: exists( #36, #89 ), references = 1, size of lhs = 4:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #191: mergings( V3 == V5, V4 == V6; #188 ), references = 5, size of lhs = 5:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #196: mergings( V3 == V5, V4 == V6; #193 ), references = 7, size of lhs = 3:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #203: exists( #36, #27 ), references = 1, size of lhs = 8:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #210: mergings( V2 == V4, V3 == V5; #207 ), references = 1, size of lhs = 3:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #216: mergings( V3 == V4; #213 ), references = 3, size of lhs = 5:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V2,V5,V6) | P_multiplication-{T}(V2,V4,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #218: mergings( V3 == V4; #214 ), references = 3, size of lhs = 5:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #226: exists( #34, #7 ), references = 7, size of lhs = 6:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_multiplication-{F}(V5,V3,V8) | P_addition-{T}(V7,V8,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #227: exists( #34, #8 ), references = 5, size of lhs = 6:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V2,V5,V7), P_multiplication-{F}(V3,V5,V8) | P_addition-{T}(V7,V8,V6)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #270: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #256 ), references = 1, size of lhs = 8:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5 | P_multiplication-{T}(V2,V0,V5)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #284: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #257 ), references = 1, size of lhs = 13:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #298: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #258 ), references = 1, size of lhs = 13:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #321: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #301 ), references = 1, size of lhs = 13:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V1,V4,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V6,V5,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #325: exists( #36, #89 ), references = 1, size of lhs = 5:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #328: mergings( V6 == V4, V5 == V3; #323 ), references = 1, size of lhs = 5:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V2,V3,V1) | P_multiplication-{T}(V3,V2,V0)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #330: exists( #36, #324 ), references = 4, size of lhs = 3:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #351: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16; #337 ), references = 4, size of lhs = 7:
% 56.21/56.43 pppp0-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_addition-{F}(V0,V3,V2), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | pppp2-{T}(V0,V5)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #382: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #373 ), references = 1, size of lhs = 6:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), pppp3-{F}(V4,V2,V1,V1,V5), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V6,V3,V4) | P_c-{T}(V4,V0)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #419: mergings( V5 == V7, V7 == V0, V0 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V3 == V6, V6 == V2, V2 == V1, V1 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19; #400 ), references = 1, size of lhs = 7:
% 56.21/56.43 P_zero-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V0,V1,V0), pppp4-{F}(V0,V1), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1) | pppp3-{T}(V1,V0,V1,V1,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #438: mergings( V5 == V8, V8 == V0, V0 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V19, V3 == V6, V6 == V7, V7 == V2, V2 == V1, V1 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20; #401 ), references = 1, size of lhs = 7:
% 56.21/56.43 P_zero-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V0,V1,V0), pppp4-{F}(V0,V1), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1) | pppp3-{T}(V1,V0,V1,V1,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #485: exists( #36, #8 ), references = 3, size of lhs = 6:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V5,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V4,V5,V8)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #509: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22; #496 ), references = 2, size of lhs = 24:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_c-{F}(V6,V2), P_addition-{F}(V6,V5,V7), P_zero-{F}(V8), V4 == V8, P_one-{F}(V9), test-{F}(V10), P_c-{F}(V10,V11), test-{F}(V12), P_addition-{F}(V12,V10,V7), P_c-{F}(V12,V13), P_c-{F}(V14,V13), P_addition-{F}(V14,V13,V15), P_multiplication-{F}(V15,V16,V17), pppp3-{F}(V14,V16,V9,V11,V18), P_multiplication-{F}(V18,V14,V19), P_addition-{F}(V19,V17,V4) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #526: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V20, V6 == V19; #511 ), references = 1, size of lhs = 15:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V3), P_c-{F}(V3,V2), P_zero-{F}(V4), P_one-{F}(V5), P_c-{F}(V6,V0), P_addition-{F}(V6,V0,V7), P_multiplication-{F}(V7,V8,V3), pppp3-{F}(V6,V8,V5,V2,V9), P_multiplication-{F}(V9,V6,V1) | P_addition-{T}(V3,V1,V4)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #575: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V23 == V37; #542 ), references = 1, size of lhs = 12:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_zero-{F}(V2), P_one-{F}(V3), P_multiplication-{F}(V3,V4,V1), P_addition-{F}(V2,V5,V6), V2 == V6, P_addition-{F}(V7,V5,V7), pppp3-{F}(V7,V4,V3,V0,V8), P_multiplication-{F}(V8,V7,V7) | P_c-{T}(V7,V2)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #636: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V25 == V27; #614 ), references = 1, size of lhs = 23:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), V5 == V1, P_multiplication-{F}(V3,V6,V7), P_addition-{F}(V8,V9,V1), P_multiplication-{F}(V10,V9,V0), P_multiplication-{F}(V11,V9,V0), P_multiplication-{F}(V12,V8,V0), P_multiplication-{F}(V13,V14,V10), P_multiplication-{F}(V13,V15,V11), P_addition-{F}(V14,V16,V15), P_multiplication-{F}(V17,V16,V12), P_addition-{F}(V13,V17,V18), P_multiplication-{F}(V18,V16,V4), P_addition-{F}(V13,V19,V20), P_multiplication-{F}(V20,V16,V21), P_multiplication-{F}(V19,V16,V22), P_addition-{F}(V21,V7,V23), P_multiplication-{F}(V24,V2,V22), pppp3-{F}(V2,V8,V25,V6,V24) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #657: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V25 == V27; #615 ), references = 1, size of lhs = 25:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_multiplication-{F}(V2,V3,V6), P_addition-{F}(V3,V2,V7), V7 == V1, P_multiplication-{F}(V3,V8,V9), P_addition-{F}(V10,V11,V1), P_multiplication-{F}(V12,V11,V0), P_multiplication-{F}(V13,V11,V0), P_multiplication-{F}(V14,V10,V0), P_multiplication-{F}(V15,V16,V12), P_multiplication-{F}(V15,V17,V13), P_addition-{F}(V16,V18,V17), P_multiplication-{F}(V19,V18,V14), P_addition-{F}(V15,V19,V20), P_multiplication-{F}(V20,V18,V4), P_addition-{F}(V15,V21,V22), P_multiplication-{F}(V22,V18,V23), P_multiplication-{F}(V21,V18,V24), P_addition-{F}(V23,V9,V25), P_multiplication-{F}(V26,V2,V24), pppp3-{F}(V2,V10,V27,V8,V26) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #691: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V13; #682 ), references = 1, size of lhs = 13:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), V5 == V1, P_multiplication-{F}(V4,V6,V7), P_multiplication-{F}(V8,V2,V7), P_addition-{F}(V9,V6,V10), P_multiplication-{F}(V4,V10,V11), P_multiplication-{F}(V3,V12,V13), pppp3-{F}(V2,V9,V14,V12,V8), P_addition-{F}(V11,V13,V15) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #699: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V13; #683 ), references = 1, size of lhs = 15:
% 56.21/56.43 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_multiplication-{F}(V2,V3,V6), P_addition-{F}(V3,V2,V7), V7 == V1, P_multiplication-{F}(V4,V8,V9), P_multiplication-{F}(V10,V2,V9), P_addition-{F}(V11,V8,V12), P_multiplication-{F}(V4,V12,V13), P_multiplication-{F}(V3,V14,V15), pppp3-{F}(V2,V11,V16,V14,V10), P_addition-{F}(V13,V15,V17) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #760: mergings( V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V7 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V1, V1 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V29 == V2; #714 ), references = 1, size of lhs = 12:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), pppp4-{F}(V2,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V2,V0,V3), P_one-{F}(V3), P_zero-{F}(V4), P_multiplication-{F}(V4,V0,V4) | pppp3-{T}(V4,V2,V3,V0,V3), pppp3-{T}(V3,V2,V3,V0,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #807: mergings( V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V7 == V3, V3 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V34, V34 == V36, V36 == V38, V38 == V1, V1 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V31 == V2; #715 ), references = 1, size of lhs = 12:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), pppp4-{F}(V2,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V2,V0,V3), P_one-{F}(V3), P_zero-{F}(V4), P_multiplication-{F}(V4,V0,V4) | pppp3-{T}(V4,V2,V3,V0,V3), pppp3-{T}(V3,V2,V3,V0,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #854: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V25 == V36; #808 ), references = 4, size of lhs = 19:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), pppp4-{F}(V2,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V2,V0,V3), P_one-{F}(V3), P_zero-{F}(V4), P_multiplication-{F}(V4,V0,V4), P_multiplication-{F}(V3,V4,V5), P_c-{F}(V4,V6), P_addition-{F}(V4,V6,V7), P_multiplication-{F}(V7,V2,V8), P_addition-{F}(V5,V8,V9), P_multiplication-{F}(V6,V0,V10), P_addition-{F}(V9,V10,V3) | pppp3-{T}(V3,V2,V3,V0,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #900: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V57, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V25 == V36; #809 ), references = 1, size of lhs = 33:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), pppp4-{F}(V2,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V2,V0,V3), P_one-{F}(V3), test-{F}(V4), P_c-{F}(V4,V5), test-{F}(V6), P_c-{F}(V6,V7), P_addition-{F}(V7,V5,V8), test-{F}(V9), P_c-{F}(V9,V4), test-{F}(V10), P_c-{F}(V10,V6), P_addition-{F}(V10,V9,V11), P_zero-{F}(V12), V8 == V12, P_multiplication-{F}(V12,V0,V12), test-{F}(V13), P_c-{F}(V13,V0), test-{F}(V14), P_addition-{F}(V14,V13,V11), P_c-{F}(V14,V15), P_c-{F}(V12,V15), P_addition-{F}(V12,V15,V16), P_multiplication-{F}(V16,V2,V17), P_multiplication-{F}(V3,V12,V18), P_addition-{F}(V18,V17,V8) | pppp3-{T}(V3,V2,V3,V0,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #987: mergings( V16 == V31, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V31, V31 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27; #961 ), references = 1, size of lhs = 17:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V2,V2), P_addition-{F}(V2,V1,V2), P_zero-{F}(V3), P_c-{F}(V2,V3), P_c-{F}(V3,V2), P_addition-{F}(V2,V3,V2), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), P_c-{F}(V6,V2), P_multiplication-{F}(V2,V7,V7), P_multiplication-{F}(V7,V0,V6), pppp4-{F}(V7,V2), P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V4,V8,V7) | P_c-{T}(V7,V3)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #1012: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V37, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27; #962 ), references = 1, size of lhs = 30:
% 56.21/56.43 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_multiplication-{F}(V2,V2,V2), P_addition-{F}(V2,V1,V2), P_one-{F}(V2), test-{F}(V3), P_c-{F}(V3,V4), test-{F}(V5), P_c-{F}(V5,V6), P_addition-{F}(V6,V4,V2), test-{F}(V7), P_c-{F}(V7,V3), test-{F}(V8), P_c-{F}(V8,V5), P_addition-{F}(V8,V7,V2), P_zero-{F}(V9), V2 == V9, P_c-{F}(V9,V2), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V9,V2,V11), P_c-{F}(V2,V12), P_addition-{F}(V2,V12,V13), P_c-{F}(V14,V2), P_multiplication-{F}(V2,V15,V15), P_multiplication-{F}(V15,V0,V14), pppp4-{F}(V15,V2), P_multiplication-{F}(V13,V15,V15), P_multiplication-{F}(V11,V15,V16), P_addition-{F}(V10,V16,V15) | P_c-{T}(V15,V9)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #1066: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V1, V1 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V34, V34 == V36, V18 == V36; #1030 ), references = 1, size of lhs = 10:
% 56.21/56.43 test-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_multiplication-{F}(V1,V1,V1), P_addition-{F}(V1,V1,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V1), P_addition-{F}(V1,V0,V1), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1) | pppp4-{T}(V1,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #1101: mergings( V0 == V3, V3 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V1, V1 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V34, V34 == V36, V18 == V36; #1031 ), references = 1, size of lhs = 10:
% 56.21/56.43 test-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_multiplication-{F}(V1,V1,V1), P_addition-{F}(V1,V1,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V1), P_addition-{F}(V1,V0,V1), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1) | pppp4-{T}(V1,V1)
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #1170: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29; #1140 ), references = 1, size of lhs = 1:
% 56.21/56.43 P_zero-{F}(V0) | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 #1172: exists( #35, #1140 ), references = 1, size of lhs = 0:
% 56.21/56.43 FALSE | FALSE
% 56.21/56.43 (used 0 times, uses = {})
% 56.21/56.43
% 56.21/56.43 number of learnt formulas = 56
% 56.21/56.43
% 56.21/56.43
% 56.21/56.43 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.21/56.43
% 56.21/56.43 randbase = 1
%------------------------------------------------------------------------------