TSTP Solution File: KLE022+3 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:06:57 EDT 2022
% Result : Theorem 6.35s 6.55s
% Output : Refutation 6.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 16:38:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.35/6.55 GeoParameters:
% 6.35/6.55
% 6.35/6.55 tptp_input = 1
% 6.35/6.55 tptp_output = 0
% 6.35/6.55 nonempty = 1
% 6.35/6.55 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.35/6.55 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.35/6.55
% 6.35/6.55
% 6.35/6.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.35/6.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.35/6.55
% 6.35/6.55 RuleSystem INPUT:
% 6.35/6.55
% 6.35/6.55 Initial Rules:
% 6.35/6.55 #0: input, references = 4, size of lhs = 3:
% 6.35/6.55 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #1: input, references = 4, size of lhs = 5:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #2: input, references = 4, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #3: input, references = 4, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #4: input, references = 4, size of lhs = 6:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #5: input, references = 4, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #6: input, references = 4, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #7: input, references = 5, size of lhs = 8:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #8: input, references = 8, size of lhs = 8:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #9: input, references = 4, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #10: input, references = 4, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #11: input, references = 3, size of lhs = 5:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #12: input, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #13: input, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #14: input, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #15: input, references = 6, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #16: input, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #17: input, references = 6, size of lhs = 1:
% 6.35/6.55 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #18: input, references = 10, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #19: input, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #20: input, references = 6, size of lhs = 7:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #21: input, references = 5, size of lhs = 7:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #22: input, references = 5, size of lhs = 7:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #23: input, references = 3, size of lhs = 5:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #24: input, references = 7, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #25: input, references = 6, size of lhs = 6:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #26: input, references = 9, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #27: input, references = 7, size of lhs = 10:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #28: input, references = 5, size of lhs = 10:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #29: input, references = 4, size of lhs = 2:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #30: input, references = 6, size of lhs = 2:
% 6.35/6.55 pppp4-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #31: input, references = 4, size of lhs = 2:
% 6.35/6.55 pppp4-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #32: input, references = 7, size of lhs = 4:
% 6.35/6.55 pppp3-{F}(V0,V1,V5), P_multiplication-{F}(V5,V0,V3), P_multiplication-{F}(V5,V1,V4), P_addition-{F}(V3,V4,V5) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #33: input, references = 12, size of lhs = 2:
% 6.35/6.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #34: input, references = 4, size of lhs = 0:
% 6.35/6.55 FALSE | EXISTS V0: P_zero-{T}(V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #35: input, references = 21, size of lhs = 2:
% 6.35/6.55 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #36: input, references = 4, size of lhs = 0:
% 6.35/6.55 FALSE | EXISTS V0: P_one-{T}(V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #37: input, references = 9, size of lhs = 1:
% 6.35/6.55 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 number of initial rules = 38
% 6.35/6.55
% 6.35/6.55 Simplifiers:
% 6.35/6.55 #38: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #39: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #40: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #41: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #42: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #43: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #44: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #45: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #46: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #47: unsound, references = 3, size of lhs = 3:
% 6.35/6.55 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 number of simplifiers = 10
% 6.35/6.55
% 6.35/6.55 Learnt:
% 6.35/6.55 #49: exists( #33, #3 ), references = 1, size of lhs = 2:
% 6.35/6.55 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #52: exists( #35, #5 ), references = 9, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #53: exists( #35, #6 ), references = 6, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #56: exists( #35, #9 ), references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #57: exists( #35, #10 ), references = 1, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #59: exists( #33, #2 ), references = 7, size of lhs = 2:
% 6.35/6.55 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #65: exists( #35, #22 ), references = 1, size of lhs = 5:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #67: mergings( V4 == V3; #62 ), references = 1, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #73: exists( #33, #0 ), references = 10, size of lhs = 1:
% 6.35/6.55 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #77: exists( #37, #25 ), references = 1, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #85: exists( #33, #81 ), references = 5, size of lhs = 6:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #87: mergings( V5 == V3; #84 ), references = 1, size of lhs = 6:
% 6.35/6.55 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
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #95: exists( #37, #28 ), references = 4, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #100: exists( #37, #27 ), references = 1, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #117: exists( #33, #28 ), references = 1, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #121: exists( #35, #27 ), references = 1, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #143: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #135 ), references = 1, size of lhs = 3:
% 6.35/6.55 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #167: exists( #33, #1 ), references = 3, size of lhs = 3:
% 6.35/6.55 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #182: exists( #35, #85 ), references = 1, size of lhs = 4:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #187: mergings( V3 == V5, V4 == V6; #184 ), references = 2, size of lhs = 5:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #192: mergings( V3 == V5, V4 == V6; #189 ), references = 3, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #199: exists( #35, #27 ), references = 1, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #209: mergings( V0 == V3, V1 == V4; #206 ), references = 1, size of lhs = 4:
% 6.35/6.55 pppp4-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #225: mergings( V0 == V2, V2 == V4, V4 == V6, V1 == V5, V5 == V7; #219 ), references = 1, size of lhs = 3:
% 6.35/6.55 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #236: exists( #35, #27 ), references = 1, size of lhs = 8:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #245: mergings( V1 == V3, V0 == V4; #242 ), references = 1, size of lhs = 4:
% 6.35/6.55 pppp4-{F}(V0), P_one-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V1) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #257: mergings( V2 == V4, V3 == V5; #254 ), references = 1, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #262: mergings( V3 == V4; #260 ), references = 2, size of lhs = 5:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #268: exists( #33, #8 ), references = 4, size of lhs = 6:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #315: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #301 ), references = 1, size of lhs = 8:
% 6.35/6.55 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5 | P_multiplication-{T}(V2,V0,V5)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #329: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #302 ), references = 1, size of lhs = 13:
% 6.35/6.55 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #343: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #303 ), references = 1, size of lhs = 13:
% 6.35/6.55 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #366: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #346 ), references = 1, size of lhs = 13:
% 6.35/6.55 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V1,V4,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V6,V5,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #371: exists( #33, #7 ), references = 3, size of lhs = 6:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #382: exists( #35, #85 ), references = 1, size of lhs = 5:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #384: exists( #35, #381 ), references = 1, size of lhs = 3:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #405: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16; #391 ), references = 1, size of lhs = 7:
% 6.35/6.55 pppp0-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_addition-{F}(V0,V3,V2), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | pppp2-{T}(V0,V5)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #421: mergings( V3 == V4; #419 ), references = 2, size of lhs = 5:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #427: exists( #35, #8 ), references = 1, size of lhs = 6:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #449: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #437 ), references = 1, size of lhs = 14:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_multiplication-{F}(V4,V3,V0), P_multiplication-{F}(V5,V3,V0), P_multiplication-{F}(V6,V2,V0), P_multiplication-{F}(V7,V8,V4), P_multiplication-{F}(V7,V9,V5), P_addition-{F}(V10,V8,V9), P_multiplication-{F}(V11,V10,V6), P_addition-{F}(V7,V11,V12), P_multiplication-{F}(V12,V10,V13), P_multiplication-{F}(V13,V14,V6), pppp3-{F}(V2,V14,V13) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #455: exists( #35, #4 ), references = 1, size of lhs = 4:
% 6.35/6.55 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)
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #459: exists( #35, #457 ), references = 1, size of lhs = 7:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V2), P_addition-{F}(V4,V5,V3), P_multiplication-{F}(V2,V5,V6), pppp3-{F}(V4,V7,V2), P_multiplication-{F}(V2,V7,V6) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #461: exists( #35, #458 ), references = 1, size of lhs = 5:
% 6.35/6.55 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V2), P_addition-{F}(V4,V5,V3), pppp3-{F}(V4,V5,V2) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #466: mergings( V3 == V5, V4 == V6; #463 ), references = 2, size of lhs = 5:
% 6.35/6.55 pppp4-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V2), P_one-{F}(V2), P_zero-{F}(V3) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #495: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7; #489 ), references = 1, size of lhs = 3:
% 6.35/6.55 pppp4-{F}(V0), P_one-{F}(V1), P_zero-{F}(V2) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #504: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #496 ), references = 1, size of lhs = 2:
% 6.35/6.55 P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #510: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #505 ), references = 1, size of lhs = 1:
% 6.35/6.55 P_zero-{F}(V0) | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 #512: exists( #34, #505 ), references = 1, size of lhs = 0:
% 6.35/6.55 FALSE | FALSE
% 6.35/6.55 (used 0 times, uses = {})
% 6.35/6.55
% 6.35/6.55 number of learnt formulas = 48
% 6.35/6.55
% 6.35/6.55
% 6.35/6.55 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.35/6.55
% 6.35/6.55 randbase = 1
%------------------------------------------------------------------------------