TSTP Solution File: KLE012+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE012+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 06:06:55 EDT 2022
% Result : Theorem 35.88s 36.11s
% Output : Refutation 35.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % 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 16:54:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 35.88/36.11 GeoParameters:
% 35.88/36.11
% 35.88/36.11 tptp_input = 1
% 35.88/36.11 tptp_output = 0
% 35.88/36.11 nonempty = 1
% 35.88/36.11 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.88/36.11 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 35.88/36.11
% 35.88/36.11
% 35.88/36.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.88/36.11 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.88/36.11
% 35.88/36.11 RuleSystem INPUT:
% 35.88/36.11
% 35.88/36.11 Initial Rules:
% 35.88/36.11 #0: input, references = 4, size of lhs = 3:
% 35.88/36.11 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #1: input, references = 4, size of lhs = 5:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #2: input, references = 4, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #3: input, references = 4, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #4: input, references = 6, size of lhs = 6:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #5: input, references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #6: input, references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #7: input, references = 7, size of lhs = 8:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #8: input, references = 7, size of lhs = 8:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #9: input, references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #10: input, references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #11: input, references = 3, size of lhs = 5:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #12: input, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #13: input, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #14: input, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #15: input, references = 5, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #16: input, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #17: input, references = 5, size of lhs = 1:
% 35.88/36.11 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #18: input, references = 9, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #19: input, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #20: input, references = 5, size of lhs = 7:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #21: input, references = 4, size of lhs = 7:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #22: input, references = 7, size of lhs = 7:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #23: input, references = 3, size of lhs = 5:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #24: input, references = 7, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #25: input, references = 4, size of lhs = 6:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #26: input, references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #27: input, references = 4, size of lhs = 2:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #28: input, references = 6, size of lhs = 1:
% 35.88/36.11 pppp4-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #29: input, references = 4, size of lhs = 1:
% 35.88/36.11 pppp4-{F}(V0) | test-{T}(V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #30: input, references = 10, size of lhs = 3:
% 35.88/36.11 pppp3-{F}(V0,V1), P_multiplication-{F}(V0,V1,V3), P_multiplication-{F}(V1,V0,V3) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #31: input, references = 4, size of lhs = 3:
% 35.88/36.11 pppp3-{F}(V0,V1), P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V1,V0,V3) | test-{T}(V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #32: input, references = 10, size of lhs = 2:
% 35.88/36.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #33: input, references = 4, size of lhs = 0:
% 35.88/36.11 FALSE | EXISTS V0: P_zero-{T}(V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #34: input, references = 23, size of lhs = 2:
% 35.88/36.11 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #35: input, references = 4, size of lhs = 0:
% 35.88/36.11 FALSE | EXISTS V0: P_one-{T}(V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #36: input, references = 7, size of lhs = 1:
% 35.88/36.11 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 number of initial rules = 37
% 35.88/36.11
% 35.88/36.11 Simplifiers:
% 35.88/36.11 #37: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #38: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #39: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #40: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #41: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #42: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #43: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #44: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #45: unsound, references = 3, size of lhs = 3:
% 35.88/36.11 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 number of simplifiers = 9
% 35.88/36.11
% 35.88/36.11 Learnt:
% 35.88/36.11 #47: exists( #32, #3 ), references = 2, size of lhs = 2:
% 35.88/36.11 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #50: exists( #34, #5 ), references = 9, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #51: exists( #34, #6 ), references = 7, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #54: exists( #34, #9 ), references = 4, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #55: exists( #34, #10 ), references = 8, size of lhs = 3:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #57: exists( #32, #2 ), references = 7, size of lhs = 2:
% 35.88/36.11 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #63: exists( #34, #22 ), references = 1, size of lhs = 5:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #65: mergings( V4 == V3; #60 ), references = 1, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #71: exists( #32, #0 ), references = 7, size of lhs = 1:
% 35.88/36.11 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #75: exists( #36, #25 ), references = 1, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #85: exists( #32, #79 ), references = 4, size of lhs = 6:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #87: mergings( V5 == V3; #83 ), references = 2, size of lhs = 6:
% 35.88/36.11 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
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #90: mergings( V5 == V3, V6 == V3; #84 ), references = 4, size of lhs = 5:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #100: exists( #32, #1 ), references = 2, size of lhs = 3:
% 35.88/36.11 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #105: exists( #34, #7 ), references = 2, size of lhs = 6:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #115: exists( #34, #8 ), references = 1, size of lhs = 6:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #150: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #142 ), references = 1, size of lhs = 3:
% 35.88/36.11 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #164: mergings( V2 == V3; #162 ), references = 1, size of lhs = 3:
% 35.88/36.11 pppp4-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #185: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #177 ), references = 1, size of lhs = 3:
% 35.88/36.11 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #190: mergings( V2 == V3; #188 ), references = 1, size of lhs = 3:
% 35.88/36.11 pppp4-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #208: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #203 ), references = 1, size of lhs = 9:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_c-{F}(V2,V5), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V2,V5,V7), P_addition-{F}(V5,V2,V8), V8 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #214: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #209 ), references = 2, size of lhs = 8:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp3-{F}(V2,V3), P_c-{F}(V2,V4), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V2,V4,V6), P_addition-{F}(V4,V2,V7), V7 == V1 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #223: exists( #34, #30 ), references = 1, size of lhs = 1:
% 35.88/36.11 pppp3-{F}(V0,V0) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #226: exists( #32, #8 ), references = 4, size of lhs = 6:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #228: exists( #34, #4 ), references = 2, size of lhs = 4:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #236: exists( #34, #4 ), references = 3, size of lhs = 4:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #250: exists( #34, #244 ), references = 1, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), pppp3-{F}(V1,V2), P_multiplication-{F}(V3,V2,V1), P_multiplication-{F}(V2,V3,V1) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #252: mergings( V3 == V4; #248 ), references = 1, size of lhs = 5:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V4,V3,V2), P_multiplication-{F}(V3,V4,V2) | P_multiplication-{T}(V3,V2,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #260: exists( #34, #85 ), references = 2, size of lhs = 5:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #278: mergings( V3 == V5, V4 == V6; #275 ), references = 5, size of lhs = 7:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V3,V6,V8) | P_multiplication-{T}(V2,V6,V7)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #291: mergings( V3 == V4; #287 ), references = 4, size of lhs = 5:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V2,V4,V6) | P_multiplication-{T}(V6,V5,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #299: mergings( V3 == V4, V4 == V6, V5 == V7; #294 ), references = 1, size of lhs = 10:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V4,V5,V3), P_multiplication-{F}(V2,V4,V6), P_addition-{F}(V6,V7,V8), P_multiplication-{F}(V8,V5,V9), P_multiplication-{F}(V7,V5,V10), P_addition-{F}(V0,V10,V11), V9 == V11 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #337: exists( #34, #87 ), references = 4, size of lhs = 4:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0) | P_multiplication-{T}(V3,V2,V0)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #373: exists( #32, #7 ), references = 3, size of lhs = 6:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #402: mergings( V2 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16; #388 ), references = 2, size of lhs = 10:
% 35.88/36.11 test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V3,V1,V3), P_addition-{F}(V3,V0,V0), P_multiplication-{F}(V3,V2,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V5,V1,V6), V4 == V6 | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #437: mergings( V3 == V4; #434 ), references = 4, size of lhs = 5:
% 35.88/36.11 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)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #438: exists( #34, #433 ), references = 1, size of lhs = 7:
% 35.88/36.11 test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V3,V1,V3), P_addition-{F}(V3,V0,V0), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V3,V0,V4)
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #462: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #448 ), references = 1, size of lhs = 14:
% 35.88/36.11 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V0,V2), pppp3-{F}(V2,V3), P_addition-{F}(V2,V4,V1), P_multiplication-{F}(V4,V5,V0), P_multiplication-{F}(V6,V2,V5), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V4,V8,V0), P_multiplication-{F}(V2,V9,V0), P_multiplication-{F}(V3,V10,V9), P_addition-{F}(V10,V2,V11), P_multiplication-{F}(V3,V11,V3) | FALSE
% 35.88/36.11 (used 0 times, uses = {})
% 35.88/36.11
% 35.88/36.11 #491: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11; #482 ), references = 1, size of lhs = 11:
% 35.88/36.11 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V2,V3,V0), P_multiplication-{F}(V1,V3,V4), P_multiplication-{F}(V5,V3,V1), P_multiplication-{F}(V6,V3,V4), P_multiplication-{F}(V7,V8,V6), P_multiplication-{F}(V7,V9,V5), P_addition-{F}(V10,V8,V9), P_multiplication-{F}(V10,V2,V11), P_multiplication-{F}(V7,V11,V12) | P_multiplication-{T}(V7,V10,V12)
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #517: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21; #498 ), references = 1, size of lhs = 17:
% 35.88/36.12 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V2,V1,V2), pppp3-{F}(V2,V3), P_addition-{F}(V2,V4,V0), P_addition-{F}(V2,V5,V0), P_multiplication-{F}(V1,V5,V6), P_multiplication-{F}(V4,V7,V1), P_multiplication-{F}(V8,V2,V7), P_addition-{F}(V3,V8,V9), P_multiplication-{F}(V9,V2,V10), P_multiplication-{F}(V4,V10,V1), P_multiplication-{F}(V11,V5,V1), P_multiplication-{F}(V12,V5,V6), P_multiplication-{F}(V2,V13,V12), P_addition-{F}(V3,V13,V14), P_multiplication-{F}(V2,V14,V11) | FALSE
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #552: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27; #526 ), references = 1, size of lhs = 11:
% 35.88/36.12 P_one-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V2,V1,V2), P_multiplication-{F}(V0,V2,V2), pppp3-{F}(V2,V3), P_multiplication-{F}(V2,V4,V2), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V2,V5,V2), P_multiplication-{F}(V6,V2,V2), P_addition-{F}(V3,V6,V7), P_multiplication-{F}(V7,V2,V2) | P_c-{T}(V2,V1)
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #600: mergings( V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V40, V41 == V43; #561 ), references = 1, size of lhs = 13:
% 35.88/36.12 test-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V2,V0,V0), P_addition-{F}(V3,V0,V0), P_addition-{F}(V4,V1,V4), P_multiplication-{F}(V4,V2,V4), P_multiplication-{F}(V2,V4,V4), pppp3-{F}(V4,V3), P_multiplication-{F}(V1,V4,V5), P_multiplication-{F}(V4,V1,V6), P_addition-{F}(V1,V4,V7), V7 == V2 | FALSE
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #647: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V11, V11 == V15, V15 == V16, V16 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V42, V4 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V43; #607 ), references = 1, size of lhs = 6:
% 35.88/36.12 pppp4-{F}(V0), test-{F}(V1), P_addition-{F}(V0,V1,V1), P_zero-{F}(V2), P_one-{F}(V3), P_multiplication-{F}(V3,V1,V1) | pppp3-{T}(V3,V0)
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #714: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V13, V13 == V17, V17 == V18, V18 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V44, V1 == V8, V8 == V9, V9 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V45; #668 ), references = 1, size of lhs = 2:
% 35.88/36.12 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #745: 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, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22; #721 ), references = 1, size of lhs = 1:
% 35.88/36.12 P_zero-{F}(V0) | FALSE
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 #749: exists( #33, #721 ), references = 1, size of lhs = 0:
% 35.88/36.12 FALSE | FALSE
% 35.88/36.12 (used 0 times, uses = {})
% 35.88/36.12
% 35.88/36.12 number of learnt formulas = 46
% 35.88/36.12
% 35.88/36.12
% 35.88/36.12 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.88/36.12
% 35.88/36.12 randbase = 1
%------------------------------------------------------------------------------