TSTP Solution File: KLE027+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE027+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 4.89s 5.07s
% Output : Refutation 4.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE027+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 16:57:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.89/5.07 GeoParameters:
% 4.89/5.07
% 4.89/5.07 tptp_input = 1
% 4.89/5.07 tptp_output = 0
% 4.89/5.07 nonempty = 1
% 4.89/5.07 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/5.07 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.89/5.07
% 4.89/5.07
% 4.89/5.07 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/5.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/5.07
% 4.89/5.07 RuleSystem INPUT:
% 4.89/5.07
% 4.89/5.07 Initial Rules:
% 4.89/5.07 #0: input, references = 4, size of lhs = 3:
% 4.89/5.07 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #1: input, references = 4, size of lhs = 5:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #2: input, references = 4, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #3: input, references = 4, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #4: input, references = 4, size of lhs = 6:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #5: input, references = 4, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #6: input, references = 4, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #7: input, references = 6, size of lhs = 8:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #8: input, references = 6, size of lhs = 8:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #9: input, references = 4, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #10: input, references = 4, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #11: input, references = 3, size of lhs = 5:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #12: input, references = 7, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #13: input, references = 4, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #14: input, references = 3, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #15: input, references = 6, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #16: input, references = 3, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #17: input, references = 7, size of lhs = 1:
% 4.89/5.07 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #18: input, references = 8, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #19: input, references = 4, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #20: input, references = 5, size of lhs = 7:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #21: input, references = 4, size of lhs = 7:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #22: input, references = 7, size of lhs = 7:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #23: input, references = 4, size of lhs = 5:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #24: input, references = 4, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #25: input, references = 5, size of lhs = 6:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #26: input, references = 3, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #27: input, references = 3, size of lhs = 2:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp3-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #28: input, references = 4, size of lhs = 2:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp7-{T}(V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #29: input, references = 6, size of lhs = 2:
% 4.89/5.07 pppp7-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #30: input, references = 4, size of lhs = 2:
% 4.89/5.07 pppp7-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #31: input, references = 6, size of lhs = 1:
% 4.89/5.07 pppp6-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V2,V1,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #32: input, references = 7, size of lhs = 1:
% 4.89/5.07 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V3,V0,V1,V2,V4)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #33: input, references = 7, size of lhs = 10:
% 4.89/5.07 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,V10), P_addition-{F}(V5,V9,V11), leq-{F}(V10,V11), leq-{F}(V11,V10) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #34: input, references = 3, size of lhs = 1:
% 4.89/5.07 pppp3-{F}(V0) | test-{T}(V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #35: input, references = 11, size of lhs = 2:
% 4.89/5.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #36: input, references = 4, size of lhs = 0:
% 4.89/5.07 FALSE | EXISTS V0: P_zero-{T}(V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #37: input, references = 17, size of lhs = 2:
% 4.89/5.07 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #38: input, references = 4, size of lhs = 0:
% 4.89/5.07 FALSE | EXISTS V0: P_one-{T}(V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #39: input, references = 5, size of lhs = 1:
% 4.89/5.07 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 number of initial rules = 40
% 4.89/5.07
% 4.89/5.07 Simplifiers:
% 4.89/5.07 #40: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #41: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #42: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #43: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #44: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #45: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #46: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #47: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #48: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V2,V3,V9), V0 == V5 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #49: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V3,V9), V2 == V7 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #50: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V6,V7,V8,V9), V1 == V6 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #51: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp4-{F}(V0,V1,V2,V3,V4), pppp4-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #52: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #53: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V2,V7), V1 == V5 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #54: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #55: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #56: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #57: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #58: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #59: unsound, references = 3, size of lhs = 3:
% 4.89/5.07 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 number of simplifiers = 20
% 4.89/5.07
% 4.89/5.07 Learnt:
% 4.89/5.07 #61: exists( #35, #3 ), references = 5, size of lhs = 2:
% 4.89/5.07 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #64: exists( #37, #5 ), references = 3, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #65: exists( #37, #6 ), references = 6, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #68: exists( #37, #9 ), references = 2, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #69: exists( #37, #10 ), references = 7, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #71: exists( #35, #2 ), references = 10, size of lhs = 2:
% 4.89/5.07 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #77: exists( #37, #22 ), references = 1, size of lhs = 5:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #79: mergings( V4 == V3; #74 ), references = 1, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #85: exists( #35, #0 ), references = 12, size of lhs = 1:
% 4.89/5.07 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #89: exists( #39, #25 ), references = 1, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #99: exists( #35, #93 ), references = 3, size of lhs = 6:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #101: mergings( V5 == V3; #97 ), references = 2, size of lhs = 6:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #104: mergings( V5 == V3, V6 == V3; #98 ), references = 3, size of lhs = 5:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0) | P_addition-{T}(V3,V2,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #128: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #120 ), references = 1, size of lhs = 3:
% 4.89/5.07 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #137: exists( #35, #1 ), references = 1, size of lhs = 3:
% 4.89/5.07 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #156: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #148 ), references = 1, size of lhs = 3:
% 4.89/5.07 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #174: exists( #37, #7 ), references = 3, size of lhs = 6:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #178: exists( #37, #8 ), references = 1, size of lhs = 6:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #200: exists( #37, #99 ), references = 3, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #208: mergings( V3 == V5; #204 ), references = 3, size of lhs = 3:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #211: mergings( V3 == V5, V4 == V6; #206 ), references = 1, size of lhs = 5:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #223: mergings( V5 == V6, V6 == V7, V7 == V9, V8 == V0; #218 ), references = 2, size of lhs = 5:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), pppp5-{F}(V1,V3,V2,V4), P_multiplication-{F}(V2,V4,V0) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #227: mergings( V4 == V0; #225 ), references = 2, size of lhs = 4:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp6-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V0) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #231: mergings( V0 == V3; #229 ), references = 1, size of lhs = 4:
% 4.89/5.07 pppp7-{F}(V0), P_one-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V1) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #235: exists( #32, #233 ), references = 2, size of lhs = 11:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V2,V3), P_multiplication-{F}(V0,V3,V4), P_multiplication-{F}(V5,V6,V2), pppp5-{F}(V0,V7,V5,V6), P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V4,V8,V9), P_addition-{F}(V0,V8,V10), leq-{F}(V9,V10), leq-{F}(V10,V9) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #245: mergings( V8 == V9, V4 == V0, V1 == V5, V5 == V6; #240 ), references = 2, size of lhs = 6:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), pppp6-{F}(V0,V1,V2), P_multiplication-{F}(V1,V2,V3), P_addition-{F}(V0,V3,V4), leq-{F}(V4,V4) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #256: mergings( V0 == V3, V3 == V4, V4 == V6, V1 == V5; #251 ), references = 1, size of lhs = 4:
% 4.89/5.07 pppp7-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #276: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V12, V1 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #265 ), references = 2, size of lhs = 5:
% 4.89/5.07 pppp0-{F}(V0), test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_c-{F}(V0,V3) | pppp2-{T}(V0,V3)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #282: mergings( V3 == V4; #279 ), references = 3, size of lhs = 5:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #284: mergings( V3 == V4; #280 ), references = 2, size of lhs = 5:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #290: mergings( V3 == V4; #288 ), references = 4, size of lhs = 8:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V6), pppp4-{F}(V5,V7,V3,V2,V8), P_multiplication-{F}(V7,V8,V9), P_addition-{F}(V9,V6,V10), P_multiplication-{F}(V7,V10,V9) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #296: exists( #35, #7 ), references = 2, size of lhs = 6:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #297: exists( #35, #8 ), references = 1, size of lhs = 6:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #313: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #303 ), references = 1, size of lhs = 11:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V2,V5,V4), P_multiplication-{F}(V3,V6,V0), P_multiplication-{F}(V2,V7,V6), P_addition-{F}(V8,V5,V7), P_multiplication-{F}(V9,V10,V0), pppp4-{F}(V10,V2,V11,V9,V8), P_multiplication-{F}(V9,V11,V12) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #317: exists( #37, #4 ), references = 3, size of lhs = 4:
% 4.89/5.07 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)
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #323: mergings( V3 == V4, V4 == V5; #320 ), references = 1, size of lhs = 6:
% 4.89/5.07 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) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #327: mergings( V5 == V6, V6 == V7; #324 ), references = 1, size of lhs = 6:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V2,V2), P_multiplication-{F}(V3,V4,V0), pppp5-{F}(V2,V5,V3,V4), P_multiplication-{F}(V3,V5,V6) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #344: mergings( V3 == V5, V4 == V6; #340 ), references = 2, size of lhs = 9:
% 4.89/5.07 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}(V6,V10,V9), P_multiplication-{F}(V2,V7,V11) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #348: mergings( V3 == V4, V4 == V6, V5 == V7; #341 ), references = 1, size of lhs = 9:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V2,V5,V4), pppp4-{F}(V5,V6,V3,V2,V7), P_multiplication-{F}(V6,V7,V8), P_multiplication-{F}(V6,V4,V9), P_multiplication-{F}(V6,V8,V10), P_addition-{F}(V9,V10,V8) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #365: mergings( V3 == V4, V4 == V5; #361 ), references = 1, size of lhs = 7:
% 4.89/5.07 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), pppp4-{F}(V5,V2,V6,V4,V7), P_multiplication-{F}(V4,V6,V8) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #370: mergings( V5 == V6, V6 == V7; #366 ), references = 3, size of lhs = 7:
% 4.89/5.07 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,V6,V4,V5), P_multiplication-{F}(V4,V6,V7) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #392: mergings( V3 == V4; #388 ), references = 2, size of lhs = 7:
% 4.89/5.07 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) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #397: mergings( V5 == V6, V4 == V7; #394 ), references = 2, size of lhs = 6:
% 4.89/5.07 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) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #416: exists( #37, #397 ), references = 1, size of lhs = 5:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #417: exists( #37, #370 ), references = 1, size of lhs = 6:
% 4.89/5.07 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,V6,V4,V5) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #418: exists( #37, #392 ), references = 1, size of lhs = 6:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #420: exists( #29, #413 ), references = 2, size of lhs = 6:
% 4.89/5.07 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
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #458: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V16, V3 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V17; #443 ), references = 1, size of lhs = 4:
% 4.89/5.07 pppp7-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V0,V2,V0) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #478: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V18, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V19; #460 ), references = 1, size of lhs = 2:
% 4.89/5.07 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #487: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #479 ), references = 1, size of lhs = 1:
% 4.89/5.07 P_zero-{F}(V0) | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 #489: exists( #36, #479 ), references = 1, size of lhs = 0:
% 4.89/5.07 FALSE | FALSE
% 4.89/5.07 (used 0 times, uses = {})
% 4.89/5.07
% 4.89/5.07 number of learnt formulas = 51
% 4.89/5.07
% 4.89/5.07
% 4.89/5.07 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.89/5.07
% 4.89/5.07 randbase = 1
%------------------------------------------------------------------------------