TSTP Solution File: KLE027+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:06:58 EDT 2022
% Result : Theorem 65.97s 66.13s
% Output : Refutation 65.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 17:05:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 65.97/66.13 GeoParameters:
% 65.97/66.13
% 65.97/66.13 tptp_input = 1
% 65.97/66.13 tptp_output = 0
% 65.97/66.13 nonempty = 1
% 65.97/66.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.97/66.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 65.97/66.13
% 65.97/66.13
% 65.97/66.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.97/66.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.97/66.13
% 65.97/66.13 RuleSystem INPUT:
% 65.97/66.13
% 65.97/66.13 Initial Rules:
% 65.97/66.13 #0: input, references = 4, size of lhs = 3:
% 65.97/66.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #1: input, references = 5, size of lhs = 5:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #2: input, references = 4, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #3: input, references = 4, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #4: input, references = 5, size of lhs = 6:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #5: input, references = 4, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #6: input, references = 4, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #7: input, references = 7, size of lhs = 8:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #8: input, references = 8, size of lhs = 8:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #9: input, references = 4, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #10: input, references = 4, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #11: input, references = 3, size of lhs = 5:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #12: input, references = 3, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #13: input, references = 3, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #14: input, references = 8, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #15: input, references = 5, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #16: input, references = 8, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #17: input, references = 5, size of lhs = 1:
% 65.97/66.13 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #18: input, references = 8, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #19: input, references = 5, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #20: input, references = 5, size of lhs = 7:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #21: input, references = 4, size of lhs = 7:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #22: input, references = 6, size of lhs = 7:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #23: input, references = 5, size of lhs = 5:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #24: input, references = 8, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #25: input, references = 4, size of lhs = 6:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #26: input, references = 6, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #27: input, references = 5, size of lhs = 10:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #28: input, references = 5, size of lhs = 10:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #29: input, references = 3, size of lhs = 2:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #30: input, references = 4, size of lhs = 2:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #31: input, references = 4, size of lhs = 2:
% 65.97/66.13 pppp7-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #32: input, references = 4, size of lhs = 2:
% 65.97/66.13 pppp7-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #33: input, references = 4, size of lhs = 1:
% 65.97/66.13 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V2,V1,V3)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #34: input, references = 6, size of lhs = 1:
% 65.97/66.13 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V3,V0,V1,V2,V4)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #35: input, references = 11, size of lhs = 8:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V3,V0,V6), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V1,V7,V8), P_multiplication-{F}(V3,V2,V9), P_addition-{F}(V8,V9,V11), P_addition-{F}(V5,V9,V11) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #36: input, references = 3, size of lhs = 1:
% 65.97/66.13 pppp3-{F}(V0) | test-{T}(V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #37: input, references = 17, size of lhs = 2:
% 65.97/66.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #38: input, references = 4, size of lhs = 0:
% 65.97/66.13 FALSE | EXISTS V0: P_zero-{T}(V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #39: input, references = 27, size of lhs = 2:
% 65.97/66.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #40: input, references = 4, size of lhs = 0:
% 65.97/66.13 FALSE | EXISTS V0: P_one-{T}(V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #41: input, references = 9, size of lhs = 1:
% 65.97/66.13 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 number of initial rules = 42
% 65.97/66.13
% 65.97/66.13 Simplifiers:
% 65.97/66.13 #42: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #43: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #44: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #45: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #46: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #47: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #48: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #49: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #50: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #51: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V3,V9), V2 == V7 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #52: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #53: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #54: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #55: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V7), V1 == V5 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #56: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #57: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #58: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #59: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #60: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #61: unsound, references = 3, size of lhs = 3:
% 65.97/66.13 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 number of simplifiers = 20
% 65.97/66.13
% 65.97/66.13 Learnt:
% 65.97/66.13 #63: exists( #37, #3 ), references = 3, size of lhs = 2:
% 65.97/66.13 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #66: exists( #39, #5 ), references = 5, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #67: exists( #39, #6 ), references = 5, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #70: exists( #39, #9 ), references = 2, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #71: exists( #39, #10 ), references = 3, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #73: exists( #37, #2 ), references = 17, size of lhs = 2:
% 65.97/66.13 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #79: exists( #39, #22 ), references = 1, size of lhs = 5:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #81: mergings( V4 == V3; #76 ), references = 1, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #87: exists( #37, #0 ), references = 28, size of lhs = 1:
% 65.97/66.13 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #91: exists( #41, #25 ), references = 2, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #99: exists( #37, #95 ), references = 3, size of lhs = 6:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #101: mergings( V5 == V3; #98 ), references = 1, size of lhs = 6:
% 65.97/66.13 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
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #114: exists( #41, #28 ), references = 3, size of lhs = 8:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #122: exists( #41, #27 ), references = 3, size of lhs = 8:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #144: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #136 ), references = 1, size of lhs = 3:
% 65.97/66.13 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #148: exists( #37, #1 ), references = 7, size of lhs = 3:
% 65.97/66.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #166: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #158 ), references = 1, size of lhs = 3:
% 65.97/66.13 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #182: exists( #37, #28 ), references = 2, size of lhs = 8:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #195: exists( #39, #27 ), references = 4, size of lhs = 8:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #208: exists( #39, #99 ), references = 2, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #213: mergings( V3 == V5, V4 == V6; #210 ), references = 1, size of lhs = 5:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #218: mergings( V3 == V5, V4 == V6; #215 ), references = 4, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #226: mergings( V3 == V4; #224 ), references = 4, size of lhs = 5:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #233: exists( #37, #8 ), references = 5, size of lhs = 6:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #236: exists( #39, #234 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_addition-{F}(V4,V5,V2), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V7,V8,V6), pppp4-{F}(V8,V4,V9,V7,V3), P_multiplication-{F}(V7,V9,V6) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #278: mergings( V3 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #263 ), references = 3, size of lhs = 25:
% 65.97/66.13 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), test-{F}(V2), P_addition-{F}(V2,V0,V3), P_c-{F}(V2,V4), test-{F}(V4), P_c-{F}(V1,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V5,V7), P_zero-{F}(V8), P_one-{F}(V9), test-{F}(V10), P_c-{F}(V10,V11), P_multiplication-{F}(V12,V1,V10), P_addition-{F}(V4,V12,V13), P_multiplication-{F}(V13,V1,V14), P_c-{F}(V14,V15), P_multiplication-{F}(V11,V16,V17), P_addition-{F}(V17,V18,V7), P_multiplication-{F}(V19,V20,V18), pppp4-{F}(V20,V11,V21,V19,V16), P_multiplication-{F}(V19,V21,V22), P_addition-{F}(V15,V22,V23), P_addition-{F}(V17,V22,V23) | P_multiplication-{T}(V4,V1,V8)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #286: mergings( V3 == V5, V4 == V6; #283 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V4,V3,V7), P_addition-{F}(V0,V7,V8), V6 == V8 | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #310: mergings( V2 == V4, V4 == V6, V6 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V19, V3 == V5, V5 == V7, V7 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20; #295 ), references = 2, size of lhs = 10:
% 65.97/66.13 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_addition-{F}(V2,V0,V3), P_c-{F}(V3,V4), P_zero-{F}(V4), P_one-{F}(V5), pppp1-{F}(V2,V6), P_addition-{F}(V6,V1,V5), P_multiplication-{F}(V5,V6,V7) | P_c-{T}(V2,V7)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #324: mergings( V5 == V12, V6 == V13; #319 ), references = 2, size of lhs = 25:
% 65.97/66.13 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), test-{F}(V4), P_c-{F}(V4,V5), P_multiplication-{F}(V6,V1,V4), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V7,V1,V8), P_c-{F}(V8,V0), P_zero-{F}(V9), P_one-{F}(V10), P_multiplication-{F}(V5,V11,V0), P_addition-{F}(V1,V12,V13), P_multiplication-{F}(V3,V13,V14), P_multiplication-{F}(V3,V12,V15), P_addition-{F}(V9,V15,V16), V14 == V16, P_multiplication-{F}(V17,V18,V2), pppp4-{F}(V18,V5,V19,V17,V11), P_multiplication-{F}(V17,V19,V2) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #327: mergings( V5 == V12, V6 == V13; #320 ), references = 1, size of lhs = 25:
% 65.97/66.13 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), test-{F}(V4), P_c-{F}(V4,V5), P_multiplication-{F}(V6,V1,V4), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V7,V1,V8), P_c-{F}(V8,V0), P_zero-{F}(V9), P_one-{F}(V10), P_multiplication-{F}(V5,V11,V0), P_addition-{F}(V3,V12,V13), P_multiplication-{F}(V13,V1,V14), P_multiplication-{F}(V12,V1,V15), P_addition-{F}(V9,V15,V16), V14 == V16, P_multiplication-{F}(V17,V18,V2), pppp4-{F}(V18,V5,V19,V17,V11), P_multiplication-{F}(V17,V19,V2) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #392: mergings( V3 == V4, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V29, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V30; #374 ), references = 1, size of lhs = 35:
% 65.97/66.13 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), test-{F}(V2), P_multiplication-{F}(V2,V0,V3), P_c-{F}(V2,V4), test-{F}(V4), P_addition-{F}(V4,V4,V4), P_c-{F}(V1,V5), P_c-{F}(V4,V6), P_multiplication-{F}(V6,V5,V3), test-{F}(V7), P_c-{F}(V7,V8), test-{F}(V8), P_c-{F}(V8,V7), test-{F}(V9), P_c-{F}(V9,V10), P_zero-{F}(V11), P_one-{F}(V12), P_addition-{F}(V8,V13,V12), P_multiplication-{F}(V13,V14,V11), P_addition-{F}(V14,V4,V15), P_addition-{F}(V15,V1,V16), P_multiplication-{F}(V13,V16,V9), P_multiplication-{F}(V10,V17,V3), P_multiplication-{F}(V8,V18,V19), P_addition-{F}(V11,V19,V20), P_addition-{F}(V18,V1,V21), P_addition-{F}(V21,V1,V22), P_addition-{F}(V22,V4,V23), P_multiplication-{F}(V8,V23,V24), V24 == V20, P_multiplication-{F}(V25,V26,V7), pppp4-{F}(V26,V10,V27,V25,V17), P_multiplication-{F}(V25,V27,V7) | P_addition-{T}(V4,V1,V11)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #419: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V24, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V9 == V22; #399 ), references = 1, size of lhs = 28:
% 65.97/66.13 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), test-{F}(V2), test-{F}(V3), P_addition-{F}(V3,V3,V3), P_c-{F}(V3,V2), P_c-{F}(V2,V3), test-{F}(V4), P_c-{F}(V4,V2), P_zero-{F}(V5), P_one-{F}(V6), P_addition-{F}(V2,V7,V6), P_multiplication-{F}(V7,V8,V5), P_addition-{F}(V8,V3,V9), P_addition-{F}(V9,V1,V10), P_multiplication-{F}(V7,V10,V4), P_addition-{F}(V1,V11,V1), P_addition-{F}(V5,V11,V12), V5 == V12, P_addition-{F}(V0,V1,V13), P_addition-{F}(V13,V1,V14), P_addition-{F}(V14,V3,V15), P_multiplication-{F}(V2,V15,V16), P_multiplication-{F}(V17,V18,V3), pppp4-{F}(V18,V2,V19,V17,V0), P_multiplication-{F}(V17,V19,V3) | P_multiplication-{T}(V2,V0,V16)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #489: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V54, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V55, V38 == V52, V62 == V68, V64 == V70, V52 == V71, V63 == V69, V71 == V65, V66 == V72; #434 ), references = 1, size of lhs = 27:
% 65.97/66.13 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), P_c-{F}(V1,V2), P_zero-{F}(V2), test-{F}(V3), test-{F}(V4), P_addition-{F}(V4,V4,V4), P_c-{F}(V4,V3), P_c-{F}(V3,V4), test-{F}(V5), P_c-{F}(V5,V3), P_addition-{F}(V3,V6,V1), P_multiplication-{F}(V6,V7,V2), P_addition-{F}(V7,V4,V1), P_multiplication-{F}(V6,V8,V5), P_addition-{F}(V8,V4,V9), P_multiplication-{F}(V3,V9,V10), P_addition-{F}(V10,V4,V11), P_multiplication-{F}(V3,V11,V12), P_addition-{F}(V12,V4,V11), P_c-{F}(V13,V8), P_multiplication-{F}(V1,V14,V14), P_multiplication-{F}(V14,V0,V13), P_multiplication-{F}(V15,V16,V4), pppp4-{F}(V16,V3,V17,V15,V14), P_multiplication-{F}(V15,V17,V4) | P_c-{T}(V14,V2)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #500: exists( #39, #7 ), references = 4, size of lhs = 6:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | P_multiplication-{T}(V5,V4,V8)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #505: mergings( V3 == V4; #503 ), references = 1, size of lhs = 5:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #509: exists( #37, #507 ), references = 2, size of lhs = 9:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V6,V4,V7), pppp4-{F}(V3,V6,V5,V2,V8), P_multiplication-{F}(V6,V8,V9), P_multiplication-{F}(V6,V9,V10), P_addition-{F}(V7,V10,V9) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #522: exists( #37, #7 ), references = 2, size of lhs = 6:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #534: exists( #39, #4 ), references = 7, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V4,V3,V6)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #541: mergings( V3 == V4, V4 == V5; #538 ), references = 1, size of lhs = 7:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V4,V6,V3), pppp4-{F}(V5,V2,V6,V4,V7) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #545: mergings( V5 == V6, V6 == V7; #542 ), references = 1, size of lhs = 7:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V3), pppp5-{F}(V2,V5,V4,V6), P_multiplication-{F}(V4,V6,V3) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #563: exists( #39, #4 ), references = 1, size of lhs = 4:
% 65.97/66.13 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V4,V1,V6) | P_multiplication-{T}(V6,V2,V5)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #586: exists( #37, #584 ), references = 4, size of lhs = 8:
% 65.97/66.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_multiplication-{F}(V5,V6,V3), P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V2,V8,V9), P_multiplication-{F}(V10,V9,V2), pppp4-{F}(V7,V10,V6,V5,V11), P_multiplication-{F}(V10,V11,V2) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #593: mergings( V3 == V4, V4 == V5; #590 ), references = 1, size of lhs = 9:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V3,V5,V6), pppp4-{F}(V4,V2,V5,V3,V7), P_addition-{F}(V8,V7,V7), P_multiplication-{F}(V2,V8,V9), P_addition-{F}(V6,V9,V10) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #600: mergings( V5 == V6, V6 == V7, V7 == V8; #596 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V0,V3), P_multiplication-{F}(V4,V5,V0), pppp5-{F}(V2,V6,V4,V5), P_multiplication-{F}(V4,V6,V7), P_addition-{F}(V7,V3,V8) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #631: mergings( V3 == V4; #628 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V0), P_multiplication-{F}(V1,V3,V4), P_multiplication-{F}(V4,V5,V6), pppp4-{F}(V5,V1,V7,V3,V2), P_multiplication-{F}(V3,V7,V8), P_addition-{F}(V6,V8,V9), P_addition-{F}(V0,V8,V9) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #633: mergings( V3 == V4; #629 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_addition-{F}(V1,V2,V0), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V5,V6,V3), P_multiplication-{F}(V5,V7,V0), pppp4-{F}(V4,V5,V8,V6,V7), P_multiplication-{F}(V6,V8,V9), P_addition-{F}(V9,V1,V10) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #658: exists( #39, #654 ), references = 1, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V3,V5,V7), P_multiplication-{F}(V2,V8,V9), P_addition-{F}(V7,V9,V10), P_addition-{F}(V11,V9,V10), P_multiplication-{F}(V12,V6,V11), pppp4-{F}(V5,V12,V8,V2,V13), P_multiplication-{F}(V12,V13,V7) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #659: exists( #39, #655 ), references = 2, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V3,V5,V7), P_multiplication-{F}(V8,V6,V7), P_multiplication-{F}(V8,V9,V7), pppp4-{F}(V5,V8,V10,V2,V9), P_multiplication-{F}(V2,V10,V11), P_addition-{F}(V12,V13,V7), P_addition-{F}(V11,V12,V14) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #669: exists( #39, #8 ), references = 1, size of lhs = 6:
% 65.97/66.13 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)
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #676: exists( #37, #672 ), references = 1, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), pppp4-{F}(V3,V5,V7,V2,V8), P_multiplication-{F}(V5,V8,V9), P_multiplication-{F}(V5,V9,V10), P_addition-{F}(V10,V6,V11), P_multiplication-{F}(V2,V7,V12), P_addition-{F}(V11,V12,V13), P_addition-{F}(V9,V12,V13) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #677: exists( #37, #673 ), references = 1, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V6,V7,V4), P_multiplication-{F}(V5,V8,V7), P_multiplication-{F}(V5,V9,V4), P_multiplication-{F}(V10,V11,V8), pppp4-{F}(V11,V5,V12,V10,V9), P_multiplication-{F}(V10,V12,V13), P_addition-{F}(V13,V2,V14) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #683: mergings( V3 == V4; #680 ), references = 1, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), pppp4-{F}(V5,V2,V7,V3,V8), P_multiplication-{F}(V2,V8,V9), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V10,V6,V11), P_multiplication-{F}(V3,V7,V12), P_addition-{F}(V11,V12,V13), P_addition-{F}(V9,V12,V13) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #685: mergings( V3 == V4; #681 ), references = 2, size of lhs = 11:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), pppp4-{F}(V5,V2,V7,V3,V8), P_multiplication-{F}(V2,V8,V9), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V10,V6,V9), P_multiplication-{F}(V3,V7,V11), P_addition-{F}(V12,V13,V9), P_addition-{F}(V11,V12,V14) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #728: mergings( V3 == V4; #726 ), references = 1, size of lhs = 7:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V4,V6,V7), P_multiplication-{F}(V7,V8,V8), pppp4-{F}(V8,V6,V5,V4,V8) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #769: mergings( V3 == V4, V4 == V5; #765 ), references = 1, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V0), pppp4-{F}(V5,V2,V6,V3,V7), P_multiplication-{F}(V3,V6,V8), P_addition-{F}(V8,V0,V9) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #773: mergings( V5 == V6, V6 == V7; #770 ), references = 2, size of lhs = 8:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V0), pppp5-{F}(V2,V6,V3,V5), P_multiplication-{F}(V3,V6,V7), P_addition-{F}(V7,V0,V8) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #779: mergings( V5 == V6, V6 == V7, V4 == V8; #775 ), references = 2, size of lhs = 7:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V5,V0,V6) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #804: exists( #39, #800 ), references = 1, size of lhs = 5:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), pppp6-{F}(V2,V3,V4) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #805: exists( #39, #801 ), references = 1, size of lhs = 6:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V0), pppp5-{F}(V2,V6,V3,V5) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #807: exists( #31, #802 ), references = 2, size of lhs = 6:
% 65.97/66.13 pppp7-{F}(V0), P_multiplication-{F}(V0,V0,V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_multiplication-{F}(V0,V1,V2), P_one-{F}(V3) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #845: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V17; #830 ), references = 1, size of lhs = 6:
% 65.97/66.13 pppp7-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0), P_multiplication-{F}(V0,V2,V0), P_c-{F}(V2,V1) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #867: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V20; #848 ), references = 1, size of lhs = 3:
% 65.97/66.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V1,V0) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #896: 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; #879 ), references = 1, size of lhs = 1:
% 65.97/66.13 P_zero-{F}(V0) | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 #898: exists( #38, #879 ), references = 1, size of lhs = 0:
% 65.97/66.13 FALSE | FALSE
% 65.97/66.13 (used 0 times, uses = {})
% 65.97/66.13
% 65.97/66.13 number of learnt formulas = 64
% 65.97/66.13
% 65.97/66.13
% 65.97/66.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.97/66.13
% 65.97/66.13 randbase = 1
%------------------------------------------------------------------------------