TSTP Solution File: KLE048+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE048+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:07:01 EDT 2022
% Result : Theorem 4.29s 4.47s
% Output : Refutation 4.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jul 22 16:49:21 EDT 2022
% 0.11/0.33 % CPUTime :
% 4.29/4.47 GeoParameters:
% 4.29/4.47
% 4.29/4.47 tptp_input = 1
% 4.29/4.47 tptp_output = 0
% 4.29/4.47 nonempty = 1
% 4.29/4.47 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/4.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.29/4.47
% 4.29/4.47
% 4.29/4.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/4.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/4.47
% 4.29/4.47 RuleSystem INPUT:
% 4.29/4.47
% 4.29/4.47 Initial Rules:
% 4.29/4.47 #0: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #1: input, references = 5, size of lhs = 5:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #2: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #3: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #4: input, references = 4, size of lhs = 6:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #5: input, references = 4, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #6: input, references = 4, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #7: input, references = 5, size of lhs = 8:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #8: input, references = 5, size of lhs = 8:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #9: input, references = 4, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #10: input, references = 4, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #11: input, references = 7, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #12: input, references = 4, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #13: input, references = 4, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #14: input, references = 5, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | leq-{T}(V5,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #15: input, references = 6, size of lhs = 7:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V4,V8), leq-{F}(V6,V3) | leq-{T}(V8,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #16: input, references = 3, size of lhs = 7:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V3,V7), P_multiplication-{F}(V4,V7,V8), leq-{F}(V6,V2) | leq-{T}(V8,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #17: input, references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #18: input, references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #19: input, references = 5, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #20: input, references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #21: input, references = 5, size of lhs = 1:
% 4.29/4.47 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #22: input, references = 6, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #23: input, references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #24: input, references = 5, size of lhs = 7:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #25: input, references = 4, size of lhs = 7:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #26: input, references = 7, size of lhs = 7:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #27: input, references = 3, size of lhs = 5:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #28: input, references = 4, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #29: input, references = 4, size of lhs = 6:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #30: input, references = 3, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #31: input, references = 4, size of lhs = 2:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp3-{T}(V2,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #32: input, references = 4, size of lhs = 2:
% 4.29/4.47 pppp3-{F}(V0,V1), P_star-{F}(V0,V1) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #33: input, references = 4, size of lhs = 2:
% 4.29/4.47 pppp3-{F}(V0,V1), P_star-{F}(V0,V2) | test-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #34: input, references = 12, size of lhs = 2:
% 4.29/4.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #35: input, references = 4, size of lhs = 0:
% 4.29/4.47 FALSE | EXISTS V0: P_zero-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #36: input, references = 13, size of lhs = 2:
% 4.29/4.47 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #37: input, references = 4, size of lhs = 0:
% 4.29/4.47 FALSE | EXISTS V0: P_one-{T}(V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #38: input, references = 6, size of lhs = 1:
% 4.29/4.47 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #39: input, references = 5, size of lhs = 1:
% 4.29/4.47 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of initial rules = 40
% 4.29/4.47
% 4.29/4.47 Simplifiers:
% 4.29/4.47 #40: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #41: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #42: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #43: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #44: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #45: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #46: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #47: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #48: unsound, references = 3, size of lhs = 3:
% 4.29/4.47 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of simplifiers = 9
% 4.29/4.47
% 4.29/4.47 Learnt:
% 4.29/4.47 #50: exists( #34, #2 ), references = 4, size of lhs = 2:
% 4.29/4.47 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #52: exists( #34, #3 ), references = 4, size of lhs = 2:
% 4.29/4.47 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #54: exists( #34, #0 ), references = 10, size of lhs = 1:
% 4.29/4.47 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #56: exists( #36, #9 ), references = 2, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #60: exists( #36, #10 ), references = 3, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #61: exists( #36, #4 ), references = 1, size of lhs = 4:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #63: exists( #39, #29 ), references = 1, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #67: exists( #34, #65 ), references = 4, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V3,V2,V3)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #69: exists( #36, #5 ), references = 6, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #92: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V0 == V4, V4 == V6, V6 == V8, V8 == V10; #83 ), references = 1, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V2), P_addition-{F}(V2,V1,V3), leq-{F}(V3,V1) | P_star-{T}(V1,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #106: exists( #36, #6 ), references = 2, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #111: exists( #36, #26 ), references = 1, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #113: mergings( V4 == V3; #108 ), references = 1, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #133: exists( #34, #127 ), references = 3, size of lhs = 6:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #135: mergings( V5 == V3; #131 ), references = 1, size of lhs = 6:
% 4.29/4.47 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
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #138: mergings( V5 == V3, V6 == V3; #132 ), references = 1, size of lhs = 5:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #175: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #164 ), references = 1, size of lhs = 6:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V0,V2), P_multiplication-{F}(V0,V2,V3), P_addition-{F}(V3,V1,V4), leq-{F}(V4,V2) | P_star-{T}(V0,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #198: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #190 ), references = 1, size of lhs = 3:
% 4.29/4.47 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #217: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #209 ), references = 1, size of lhs = 3:
% 4.29/4.47 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #245: exists( #34, #1 ), references = 5, size of lhs = 3:
% 4.29/4.47 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #265: mergings( V3 == V5, V4 == V6; #262 ), references = 2, size of lhs = 8:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V3), P_addition-{F}(V3,V4,V3), P_addition-{F}(V4,V5,V4), P_star-{F}(V6,V5), P_multiplication-{F}(V5,V6,V7), P_addition-{F}(V8,V2,V7) | P_addition-{T}(V3,V8,V5)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #272: mergings( V3 == V4; #270 ), references = 2, size of lhs = 9:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V2), P_addition-{F}(V2,V4,V2), P_addition-{F}(V4,V5,V4), P_star-{F}(V6,V5), P_addition-{F}(V3,V5,V7), V7 == V5 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #280: exists( #36, #7 ), references = 1, size of lhs = 6:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #283: exists( #36, #8 ), references = 1, size of lhs = 6:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #299: exists( #36, #26 ), references = 1, size of lhs = 6:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V3,V5), V5 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #300: exists( #36, #133 ), references = 1, size of lhs = 4:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #302: exists( #36, #298 ), references = 2, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #308: exists( #34, #8 ), references = 1, size of lhs = 6:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #309: exists( #34, #7 ), references = 1, size of lhs = 6:
% 4.29/4.47 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)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #316: exists( #34, #302 ), references = 2, size of lhs = 3:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V2,V3,V1)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #366: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #355 ), references = 1, size of lhs = 13:
% 4.29/4.47 test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_addition-{F}(V1,V2,V3), P_addition-{F}(V3,V3,V3), leq-{F}(V2,V3), P_addition-{F}(V0,V4,V0), P_multiplication-{F}(V5,V3,V4), P_star-{F}(V5,V6), P_multiplication-{F}(V6,V2,V7), V3 == V7, P_addition-{F}(V7,V7,V7), P_star-{F}(V8,V7) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #383: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #370 ), references = 1, size of lhs = 8:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V2), P_addition-{F}(V2,V2,V2), leq-{F}(V1,V2), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V3,V4,V3), pppp3-{F}(V3,V5) | P_star-{T}(V3,V2)
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #404: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #387 ), references = 1, size of lhs = 5:
% 4.29/4.47 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), leq-{F}(V1,V1), P_addition-{F}(V0,V1,V1) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #422: 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; #409 ), references = 1, size of lhs = 1:
% 4.29/4.47 P_zero-{F}(V0) | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 #424: exists( #35, #409 ), references = 1, size of lhs = 0:
% 4.29/4.47 FALSE | FALSE
% 4.29/4.47 (used 0 times, uses = {})
% 4.29/4.47
% 4.29/4.47 number of learnt formulas = 35
% 4.29/4.47
% 4.29/4.47
% 4.29/4.47 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.29/4.47
% 4.29/4.47 randbase = 1
%------------------------------------------------------------------------------