TSTP Solution File: KLE025+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE025+1 : 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 06:06:57 EDT 2022
% Result : Theorem 119.89s 120.10s
% Output : Refutation 119.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE025+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 17:07:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 119.89/120.10 GeoParameters:
% 119.89/120.10
% 119.89/120.10 tptp_input = 1
% 119.89/120.10 tptp_output = 0
% 119.89/120.10 nonempty = 1
% 119.89/120.10 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.89/120.10 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 119.89/120.10
% 119.89/120.10
% 119.89/120.10 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.89/120.10 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.89/120.10
% 119.89/120.10 RuleSystem INPUT:
% 119.89/120.10
% 119.89/120.10 Initial Rules:
% 119.89/120.10 #0: input, references = 4, size of lhs = 3:
% 119.89/120.10 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #1: input, references = 4, size of lhs = 5:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #2: input, references = 4, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #3: input, references = 4, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #4: input, references = 5, size of lhs = 6:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #5: input, references = 4, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #6: input, references = 4, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #7: input, references = 7, size of lhs = 8:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #8: input, references = 9, size of lhs = 8:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #9: input, references = 4, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #10: input, references = 4, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #11: input, references = 3, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #12: input, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #13: input, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #14: input, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #15: input, references = 4, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #16: input, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #17: input, references = 4, size of lhs = 1:
% 119.89/120.10 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #18: input, references = 6, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #19: input, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #20: input, references = 5, size of lhs = 7:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #21: input, references = 5, size of lhs = 7:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #22: input, references = 7, size of lhs = 7:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #23: input, references = 3, size of lhs = 5:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #24: input, references = 5, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #25: input, references = 4, size of lhs = 6:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #26: input, references = 4, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #27: input, references = 4, size of lhs = 2:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp5-{T}(V2,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #28: input, references = 6, size of lhs = 2:
% 119.89/120.10 pppp5-{F}(V0,V1), P_c-{F}(V0,V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #29: input, references = 4, size of lhs = 2:
% 119.89/120.10 pppp5-{F}(V0,V1), P_c-{F}(V0,V2) | test-{T}(V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #30: input, references = 9, size of lhs = 1:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2,V3)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #31: input, references = 3, size of lhs = 1:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3) | test-{T}(V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #32: input, references = 8, size of lhs = 4:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V0,V7), P_multiplication-{F}(V7,V4,V6), P_multiplication-{F}(V7,V2,V7) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #33: input, references = 6, size of lhs = 5:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V1,V0,V5), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), V6 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #34: input, references = 16, size of lhs = 2:
% 119.89/120.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #35: input, references = 4, size of lhs = 0:
% 119.89/120.10 FALSE | EXISTS V0: P_zero-{T}(V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #36: input, references = 23, size of lhs = 2:
% 119.89/120.10 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #37: input, references = 4, size of lhs = 0:
% 119.89/120.10 FALSE | EXISTS V0: P_one-{T}(V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #38: input, references = 6, size of lhs = 1:
% 119.89/120.10 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 number of initial rules = 39
% 119.89/120.10
% 119.89/120.10 Simplifiers:
% 119.89/120.10 #39: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #40: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #41: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #42: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #43: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #44: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #45: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #46: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #47: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V3,V9), V2 == V7 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #48: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #49: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V8,V9), V4 == V9 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #50: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #51: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #52: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #53: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #54: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #55: unsound, references = 3, size of lhs = 3:
% 119.89/120.10 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V1 == V3 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 number of simplifiers = 17
% 119.89/120.10
% 119.89/120.10 Learnt:
% 119.89/120.10 #57: exists( #34, #3 ), references = 1, size of lhs = 2:
% 119.89/120.10 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #60: exists( #36, #5 ), references = 7, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #61: exists( #36, #6 ), references = 6, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #64: exists( #36, #9 ), references = 5, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #65: exists( #36, #10 ), references = 2, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #67: exists( #34, #2 ), references = 5, size of lhs = 2:
% 119.89/120.10 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #73: exists( #36, #22 ), references = 1, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #75: mergings( V4 == V3; #70 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #81: exists( #34, #0 ), references = 11, size of lhs = 1:
% 119.89/120.10 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #85: exists( #38, #25 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #95: exists( #34, #89 ), references = 3, size of lhs = 6:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #97: mergings( V5 == V3; #93 ), references = 1, size of lhs = 6:
% 119.89/120.10 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
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #100: mergings( V5 == V3, V6 == V3; #94 ), references = 1, size of lhs = 5:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #110: exists( #34, #1 ), references = 4, size of lhs = 3:
% 119.89/120.10 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #115: exists( #36, #7 ), references = 2, size of lhs = 6:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #125: exists( #36, #8 ), references = 1, size of lhs = 6:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #160: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #152 ), references = 1, size of lhs = 3:
% 119.89/120.10 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #181: mergings( V5 == V6, V6 == V1, V3 == V0, V0 == V7; #176 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V1,V0,V2,V1) | pppp3-{T}(V2,V1,V0,V2,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #199: mergings( V3 == V5, V4 == V6; #196 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V3,V0,V4,V1) | P_multiplication-{T}(V3,V2,V4)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #204: mergings( V5 == V1, V3 == V6; #201 ), references = 1, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V2), pppp4-{F}(V3,V0,V2,V1), P_multiplication-{F}(V2,V1,V4) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #208: mergings( V4 == V0, V2 == V5; #205 ), references = 1, size of lhs = 6:
% 119.89/120.10 P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), pppp5-{F}(V0,V2), P_multiplication-{F}(V2,V0,V2), P_multiplication-{F}(V2,V1,V3) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #232: mergings( V3 == V4; #230 ), references = 3, size of lhs = 5:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #236: exists( #36, #21 ), references = 2, size of lhs = 6:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0, P_addition-{F}(V2,V3,V5) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #237: exists( #36, #95 ), references = 2, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #248: exists( #36, #236 ), references = 6, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4) | P_multiplication-{T}(V3,V2,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #256: mergings( V3 == V5, V4 == V6; #253 ), references = 1, size of lhs = 7:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), pppp1-{F}(V2,V4), P_multiplication-{F}(V4,V3,V5), P_addition-{F}(V0,V5,V6), V0 == V6 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #280: mergings( V3 == V5, V4 == V6; #277 ), references = 1, size of lhs = 7:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V4,V3,V3), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V5,V0,V6), V0 == V6 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #297: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #286 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2) | P_c-{T}(V2,V0)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #308: mergings( V5 == V6, V6 == V3, V1 == V0, V0 == V7; #303 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V1,V1,V2,V0) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #311: exists( #30, #309 ), references = 1, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V0), pppp4-{F}(V0,V2,V3,V4), P_multiplication-{F}(V0,V4,V5) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #340: mergings( V3 == V5, V4 == V6; #337 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V3,V1,V4,V0) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #344: mergings( V5 == V3, V1 == V6; #341 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V2,V1,V3,V0) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #348: mergings( V4 == V2, V0 == V5; #345 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V1,V0), pppp5-{F}(V1,V2) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #400: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #395 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), pppp1-{F}(V3,V2) | P_addition-{T}(V3,V2,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #414: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #409 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #479: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #474 ), references = 1, size of lhs = 9:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V2,V7,V8), P_addition-{F}(V8,V4,V9), P_addition-{F}(V9,V6,V10) | P_addition-{T}(V4,V6,V10)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #488: mergings( V3 == V4; #486 ), references = 2, size of lhs = 5:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #495: exists( #36, #33 ), references = 4, size of lhs = 4:
% 119.89/120.10 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V2,V3,V4), pppp3-{F}(V1,V0,V5,V6,V3), V4 == V6 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #501: exists( #34, #8 ), references = 1, size of lhs = 6:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #505: exists( #36, #4 ), references = 3, size of lhs = 4:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #508: exists( #36, #506 ), references = 2, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V4,V3,V5), pppp3-{F}(V1,V4,V6,V7,V2), V5 == V7 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #528: mergings( V3 == V4, V4 == V6; #525 ), references = 1, size of lhs = 8:
% 119.89/120.10 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V3,V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V2,V7,V8), pppp3-{F}(V4,V2,V9,V10,V6), V8 == V10 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #537: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7; #532 ), references = 1, size of lhs = 10:
% 119.89/120.10 P_one-{F}(V0), P_zero-{F}(V1), P_multiplication-{F}(V2,V3,V1), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V4,V6,V1), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V8,V6,V9), P_multiplication-{F}(V2,V9,V10), pppp3-{F}(V7,V2,V11,V12,V6), V10 == V12 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #540: exists( #34, #7 ), references = 2, size of lhs = 6:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #542: exists( #36, #4 ), references = 1, size of lhs = 4:
% 119.89/120.10 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)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #544: exists( #36, #495 ), references = 2, size of lhs = 2:
% 119.89/120.10 P_multiplication-{F}(V0,V1,V2), pppp3-{F}(V1,V0,V3,V4,V5) | P_multiplication-{T}(V2,V5,V4)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #550: mergings( V3 == V5, V4 == V6; #547 ), references = 1, size of lhs = 8:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V5,V6,V7), pppp3-{F}(V3,V4,V8,V9,V6), P_addition-{F}(V7,V9,V10), V9 == V10 | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #552: exists( #36, #508 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), P_multiplication-{F}(V1,V2,V3), pppp3-{F}(V1,V4,V5,V6,V2) | P_multiplication-{T}(V4,V3,V6)
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #580: mergings( V3 == V5, V4 == V6, V5 == V10, V9 == V7; #574 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), pppp3-{F}(V4,V5,V2,V0,V3) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #584: mergings( V5 == V2, V6 == V7; #581 ), references = 1, size of lhs = 4:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), pppp4-{F}(V4,V2,V0,V3) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #588: mergings( V4 == V1, V5 == V6; #585 ), references = 1, size of lhs = 5:
% 119.89/120.10 P_zero-{F}(V0), pppp5-{F}(V1,V0), P_c-{F}(V1,V2), P_addition-{F}(V1,V2,V3), P_one-{F}(V3) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #606: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V15, V13 == V14; #593 ), references = 1, size of lhs = 3:
% 119.89/120.10 P_zero-{F}(V0), pppp5-{F}(V1,V0), P_one-{F}(V2) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #620: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V0, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14; #607 ), references = 1, size of lhs = 2:
% 119.89/120.10 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #628: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #621 ), references = 1, size of lhs = 1:
% 119.89/120.10 P_zero-{F}(V0) | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 #630: exists( #35, #621 ), references = 1, size of lhs = 0:
% 119.89/120.10 FALSE | FALSE
% 119.89/120.10 (used 0 times, uses = {})
% 119.89/120.10
% 119.89/120.10 number of learnt formulas = 55
% 119.89/120.10
% 119.89/120.10
% 119.89/120.10 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.89/120.10
% 119.89/120.10 randbase = 1
%------------------------------------------------------------------------------