TSTP Solution File: KLE008+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE008+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:06:54 EDT 2022
% Result : Theorem 51.28s 51.51s
% Output : Refutation 51.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE008+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 16:53:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 51.28/51.51 GeoParameters:
% 51.28/51.51
% 51.28/51.51 tptp_input = 1
% 51.28/51.51 tptp_output = 0
% 51.28/51.51 nonempty = 1
% 51.28/51.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.28/51.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 51.28/51.51
% 51.28/51.51
% 51.28/51.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.28/51.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.28/51.51
% 51.28/51.51 RuleSystem INPUT:
% 51.28/51.51
% 51.28/51.51 Initial Rules:
% 51.28/51.51 #0: input, references = 4, size of lhs = 3:
% 51.28/51.51 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #1: input, references = 4, size of lhs = 5:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #2: input, references = 4, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #3: input, references = 4, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #4: input, references = 5, size of lhs = 6:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #5: input, references = 4, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #6: input, references = 4, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #7: input, references = 8, size of lhs = 8:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #8: input, references = 6, size of lhs = 8:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #9: input, references = 4, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #10: input, references = 4, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #11: input, references = 7, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #12: input, references = 7, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #13: input, references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #14: input, references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #15: input, references = 4, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp3-{T}(V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #16: input, references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #17: input, references = 4, size of lhs = 1:
% 51.28/51.51 pppp3-{F}(V0,V1) | complement-{T}(V1,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #18: input, references = 7, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #19: input, references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #20: input, references = 5, size of lhs = 7:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #21: input, references = 4, size of lhs = 7:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #22: input, references = 6, size of lhs = 7:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #23: input, references = 3, size of lhs = 5:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #24: input, references = 6, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #25: input, references = 4, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #26: input, references = 3, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #27: input, references = 4, size of lhs = 2:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp6-{T}(V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #28: input, references = 5, size of lhs = 1:
% 51.28/51.51 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #29: input, references = 4, size of lhs = 1:
% 51.28/51.51 pppp6-{F}(V0) | test-{T}(V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #30: input, references = 6, size of lhs = 1:
% 51.28/51.51 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V1,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #31: input, references = 9, size of lhs = 4:
% 51.28/51.51 pppp4-{F}(V0,V1,V2), P_multiplication-{F}(V2,V1,V3), pppp2-{F}(V0,V1,V2), leq-{F}(V0,V3) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #32: input, references = 7, size of lhs = 2:
% 51.28/51.51 pppp4-{F}(V0,V1,V2), P_multiplication-{F}(V2,V1,V3) | leq-{T}(V0,V3), pppp2-{T}(V0,V1,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #33: input, references = 5, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V4,V5), P_multiplication-{F}(V5,V2,V6), pppp2-{F}(V2,V3,V4) | leq-{T}(V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #34: input, references = 5, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V4,V5), P_multiplication-{F}(V5,V2,V6), pppp2-{F}(V2,V3,V4) | leq-{T}(V6,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #35: input, references = 6, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V4,V5), P_multiplication-{F}(V5,V2,V6), leq-{F}(V2,V3), leq-{F}(V6,V0) | pppp2-{T}(V2,V3,V4)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #36: input, references = 12, size of lhs = 2:
% 51.28/51.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #37: input, references = 4, size of lhs = 0:
% 51.28/51.51 FALSE | EXISTS V0: P_zero-{T}(V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #38: input, references = 18, size of lhs = 2:
% 51.28/51.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #39: input, references = 4, size of lhs = 0:
% 51.28/51.51 FALSE | EXISTS V0: P_one-{T}(V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #40: input, references = 8, size of lhs = 1:
% 51.28/51.51 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 number of initial rules = 41
% 51.28/51.51
% 51.28/51.51 Simplifiers:
% 51.28/51.51 #41: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #42: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #43: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #44: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #45: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #46: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #47: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #48: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V2), V1 == V4 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #49: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V2 == V5 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #50: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #51: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #52: unsound, references = 3, size of lhs = 3:
% 51.28/51.51 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 number of simplifiers = 12
% 51.28/51.51
% 51.28/51.51 Learnt:
% 51.28/51.51 #54: exists( #36, #3 ), references = 3, size of lhs = 2:
% 51.28/51.51 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #57: exists( #38, #5 ), references = 2, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #58: exists( #38, #6 ), references = 5, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #61: exists( #38, #9 ), references = 2, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #62: exists( #38, #10 ), references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #64: exists( #36, #2 ), references = 4, size of lhs = 2:
% 51.28/51.51 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #70: exists( #38, #22 ), references = 1, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #72: mergings( V4 == V3; #67 ), references = 1, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #78: exists( #36, #0 ), references = 9, size of lhs = 1:
% 51.28/51.51 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #82: exists( #40, #25 ), references = 1, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #92: exists( #36, #86 ), references = 3, size of lhs = 6:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #94: mergings( V5 == V3; #90 ), references = 2, size of lhs = 6:
% 51.28/51.51 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
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #97: mergings( V5 == V3, V6 == V3; #91 ), references = 4, size of lhs = 5:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #107: exists( #36, #1 ), references = 4, size of lhs = 3:
% 51.28/51.51 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #112: exists( #38, #7 ), references = 1, size of lhs = 6:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #122: exists( #38, #8 ), references = 1, size of lhs = 6:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #157: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #149 ), references = 1, size of lhs = 3:
% 51.28/51.51 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp3-{T}(V0,V1)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #164: mergings( V1 == V3; #162 ), references = 3, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V2,V4,V4), pppp4-{F}(V5,V4,V2), P_multiplication-{F}(V3,V5,V6) | leq-{T}(V5,V4)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #173: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #168 ), references = 2, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), P_c-{F}(V2,V0), pppp5-{F}(V2,V3), P_multiplication-{F}(V2,V3,V3) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #178: mergings( V2 == V3, V0 == V4; #175 ), references = 1, size of lhs = 5:
% 51.28/51.51 pppp6-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1), leq-{F}(V1,V1), P_c-{F}(V0,V1) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #203: exists( #38, #92 ), references = 6, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #226: mergings( V3 == V5; #222 ), references = 3, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #229: mergings( V3 == V5, V4 == V6; #224 ), references = 1, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #235: mergings( V3 == V4; #232 ), references = 3, size of lhs = 5:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #237: mergings( V3 == V4; #233 ), references = 2, size of lhs = 5:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #240: disj( #32, input ), references = 1, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V2,V3,V4), P_multiplication-{F}(V4,V3,V5), P_addition-{F}(V2,V5,V6), V6 == V5 | pppp2-{T}(V2,V3,V4)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #247: mergings( V5 == V8, V6 == V7; #243 ), references = 1, size of lhs = 6:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V2,V4,V4), pppp4-{F}(V5,V4,V2), pppp2-{F}(V5,V4,V2) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #250: mergings( V3 == V5, V4 == V6; #244 ), references = 2, size of lhs = 7:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V2,V4,V4), pppp4-{F}(V5,V4,V2), P_addition-{F}(V5,V4,V6), V6 == V4 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #256: exists( #38, #4 ), references = 3, size of lhs = 4:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #258: exists( #36, #7 ), references = 3, size of lhs = 6:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #305: exists( #36, #303 ), references = 1, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V2,V4,V4), pppp4-{F}(V5,V4,V2) | P_addition-{T}(V4,V5,V4)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #326: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V12 == V13; #316 ), references = 2, size of lhs = 7:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), pppp5-{F}(V2,V3), P_multiplication-{F}(V2,V3,V3), P_c-{F}(V2,V4), P_multiplication-{F}(V4,V3,V0) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #362: mergings( V2 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #344 ), references = 1, size of lhs = 6:
% 51.28/51.51 test-{F}(V0), pppp5-{F}(V0,V0), P_zero-{F}(V1), leq-{F}(V1,V1), P_one-{F}(V2), P_multiplication-{F}(V0,V2,V0) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #380: exists( #38, #4 ), references = 1, size of lhs = 4:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #418: exists( #36, #416 ), references = 4, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V3,V2,V3)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #465: mergings( V4 == V6, V5 == V7; #462 ), references = 2, size of lhs = 8:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), pppp4-{F}(V4,V5,V2), P_multiplication-{F}(V2,V5,V6), P_multiplication-{F}(V3,V4,V7), P_addition-{F}(V7,V0,V8), V8 == V0 | leq-{T}(V4,V6)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #547: mergings( V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V14 == V2, V15 == V1; #537 ), references = 1, size of lhs = 8:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V2,V5,V4), P_addition-{F}(V4,V6,V5), pppp4-{F}(V7,V5,V2) | pppp2-{T}(V7,V5,V2)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #579: mergings( V3 == V5, V4 == V6; #576 ), references = 1, size of lhs = 4:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), pppp2-{F}(V4,V5,V2) | P_multiplication-{T}(V3,V4,V0)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #614: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V28 == V32, V24 == V26, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V27 == V30; #589 ), references = 2, size of lhs = 10:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), pppp5-{F}(V2,V3), P_c-{F}(V2,V4), P_addition-{F}(V5,V4,V1), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V4,V6,V0), P_multiplication-{F}(V2,V3,V6), P_addition-{F}(V6,V7,V3) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #650: mergings( V2 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V0 == V31, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30; #621 ), references = 1, size of lhs = 7:
% 51.28/51.51 test-{F}(V0), P_addition-{F}(V0,V0,V0), pppp5-{F}(V0,V1), P_one-{F}(V1), P_multiplication-{F}(V0,V1,V0), P_zero-{F}(V2), leq-{F}(V2,V2) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #654: mergings( V2 == V4; #652 ), references = 1, size of lhs = 5:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), pppp5-{F}(V2,V0), P_multiplication-{F}(V2,V0,V0) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #678: mergings( V3 == V5, V4 == V6; #675 ), references = 1, size of lhs = 7:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V2,V8) | P_multiplication-{T}(V6,V3,V7)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #694: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9; #687 ), references = 1, size of lhs = 12:
% 51.28/51.51 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), pppp4-{F}(V4,V5,V2), P_multiplication-{F}(V3,V4,V6), P_addition-{F}(V6,V0,V7), V7 == V0, P_multiplication-{F}(V8,V2,V9), P_multiplication-{F}(V9,V5,V10), P_multiplication-{F}(V8,V4,V11), P_addition-{F}(V10,V11,V12), V10 == V12 | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #710: exists( #36, #8 ), references = 2, size of lhs = 6:
% 51.28/51.51 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)
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #718: mergings( V3 == V4, V4 == V6, V5 == V7; #714 ), references = 1, size of lhs = 11:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1), pppp5-{F}(V2,V3), P_c-{F}(V2,V4), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V6,V3,V3), P_addition-{F}(V2,V7,V6), P_multiplication-{F}(V7,V3,V8) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #737: mergings( V2 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V12, V14 == V15, V3 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V13; #725 ), references = 1, size of lhs = 8:
% 51.28/51.51 test-{F}(V0), P_addition-{F}(V0,V0,V0), P_zero-{F}(V1), leq-{F}(V1,V1), P_one-{F}(V2), pppp5-{F}(V0,V3), P_multiplication-{F}(V1,V3,V1), P_multiplication-{F}(V2,V3,V3) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #752: mergings( V2 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V14; #740 ), references = 1, size of lhs = 6:
% 51.28/51.51 pppp6-{F}(V0), test-{F}(V0), P_addition-{F}(V0,V0,V0), P_zero-{F}(V1), leq-{F}(V1,V1), P_one-{F}(V2) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #770: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V13, V13 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V14, V14 == V16; #755 ), references = 1, size of lhs = 3:
% 51.28/51.51 P_zero-{F}(V0), leq-{F}(V0,V0), P_one-{F}(V1) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #781: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #772 ), references = 1, size of lhs = 2:
% 51.28/51.51 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0) | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 #784: exists( #37, #782 ), references = 1, size of lhs = 0:
% 51.28/51.51 FALSE | FALSE
% 51.28/51.51 (used 0 times, uses = {})
% 51.28/51.51
% 51.28/51.51 number of learnt formulas = 50
% 51.28/51.51
% 51.28/51.51
% 51.28/51.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.28/51.51
% 51.28/51.51 randbase = 1
%------------------------------------------------------------------------------