TSTP Solution File: KLE022+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 13.96s 14.13s
% Output : Refutation 13.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 17:17:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 13.96/14.13 GeoParameters:
% 13.96/14.13
% 13.96/14.13 tptp_input = 1
% 13.96/14.13 tptp_output = 0
% 13.96/14.13 nonempty = 1
% 13.96/14.13 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.13 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.96/14.13
% 13.96/14.13
% 13.96/14.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.13 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.13
% 13.96/14.13 RuleSystem INPUT:
% 13.96/14.13
% 13.96/14.13 Initial Rules:
% 13.96/14.13 #0: input, references = 4, size of lhs = 3:
% 13.96/14.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #1: input, references = 4, size of lhs = 5:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #2: input, references = 4, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #3: input, references = 4, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #4: input, references = 4, size of lhs = 6:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #5: input, references = 4, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #6: input, references = 4, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #7: input, references = 6, size of lhs = 8:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #8: input, references = 6, size of lhs = 8:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #9: input, references = 4, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #10: input, references = 4, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #11: input, references = 3, size of lhs = 5:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #12: input, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #13: input, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #14: input, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #15: input, references = 5, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #16: input, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #17: input, references = 5, size of lhs = 1:
% 13.96/14.13 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #18: input, references = 7, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #19: input, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #20: input, references = 5, size of lhs = 7:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #21: input, references = 4, size of lhs = 7:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #22: input, references = 7, size of lhs = 7:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #23: input, references = 3, size of lhs = 5:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #24: input, references = 5, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #25: input, references = 4, size of lhs = 6:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #26: input, references = 4, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #27: input, references = 4, size of lhs = 2:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #28: input, references = 5, size of lhs = 2:
% 13.96/14.13 pppp4-{F}(V0), P_c-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #29: input, references = 4, size of lhs = 2:
% 13.96/14.13 pppp4-{F}(V0), P_c-{F}(V0,V1) | test-{T}(V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #30: input, references = 8, size of lhs = 4:
% 13.96/14.13 pppp3-{F}(V0,V1,V5), P_multiplication-{F}(V5,V0,V3), P_multiplication-{F}(V5,V1,V4), P_addition-{F}(V3,V4,V5) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #31: input, references = 10, size of lhs = 2:
% 13.96/14.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #32: input, references = 4, size of lhs = 0:
% 13.96/14.13 FALSE | EXISTS V0: P_zero-{T}(V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #33: input, references = 19, size of lhs = 2:
% 13.96/14.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #34: input, references = 4, size of lhs = 0:
% 13.96/14.13 FALSE | EXISTS V0: P_one-{T}(V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #35: input, references = 6, size of lhs = 1:
% 13.96/14.13 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 number of initial rules = 36
% 13.96/14.13
% 13.96/14.13 Simplifiers:
% 13.96/14.13 #36: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #37: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #38: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #39: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #40: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #41: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #42: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #43: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #44: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V1 == V4 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #45: unsound, references = 3, size of lhs = 3:
% 13.96/14.13 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 number of simplifiers = 10
% 13.96/14.13
% 13.96/14.13 Learnt:
% 13.96/14.13 #47: exists( #31, #3 ), references = 2, size of lhs = 2:
% 13.96/14.13 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #50: exists( #33, #5 ), references = 7, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #51: exists( #33, #6 ), references = 6, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #54: exists( #33, #9 ), references = 4, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #55: exists( #33, #10 ), references = 2, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #57: exists( #31, #2 ), references = 10, size of lhs = 2:
% 13.96/14.13 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #63: exists( #33, #22 ), references = 1, size of lhs = 5:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #65: mergings( V4 == V3; #60 ), references = 1, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #71: exists( #31, #0 ), references = 23, size of lhs = 1:
% 13.96/14.13 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #75: exists( #35, #25 ), references = 1, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #85: exists( #31, #79 ), references = 3, size of lhs = 6:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #87: mergings( V5 == V3; #83 ), references = 2, size of lhs = 6:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #90: mergings( V5 == V3, V6 == V3; #84 ), references = 3, size of lhs = 5:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #100: exists( #31, #1 ), references = 7, size of lhs = 3:
% 13.96/14.13 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #105: exists( #33, #7 ), references = 6, size of lhs = 6:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #115: exists( #33, #8 ), references = 3, size of lhs = 6:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #150: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #142 ), references = 1, size of lhs = 3:
% 13.96/14.13 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #167: mergings( V0 == V3, V1 == V4; #164 ), references = 1, size of lhs = 4:
% 13.96/14.13 pppp4-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #188: mergings( V0 == V2, V2 == V4, V4 == V8, V1 == V5, V5 == V6, V6 == V7, V7 == V9; #180 ), references = 1, size of lhs = 3:
% 13.96/14.13 pppp0-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | pppp2-{T}(V0,V1)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #210: exists( #33, #85 ), references = 3, size of lhs = 4:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #218: mergings( V3 == V5; #214 ), references = 3, size of lhs = 3:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #221: mergings( V3 == V5, V4 == V6; #216 ), references = 1, size of lhs = 5:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #243: mergings( V3 == V4; #240 ), references = 8, size of lhs = 5:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #245: mergings( V3 == V4; #241 ), references = 11, size of lhs = 5:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #251: exists( #31, #7 ), references = 9, size of lhs = 6:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #252: exists( #31, #8 ), references = 12, size of lhs = 6:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #276: 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; #262 ), references = 2, size of lhs = 17:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V4,V0), P_addition-{F}(V5,V2,V1), P_multiplication-{F}(V5,V6,V5), P_multiplication-{F}(V5,V7,V0), P_multiplication-{F}(V8,V9,V3), P_multiplication-{F}(V10,V9,V4), P_addition-{F}(V11,V8,V10), P_multiplication-{F}(V11,V12,V7), P_addition-{F}(V9,V12,V13), P_multiplication-{F}(V11,V13,V14), P_addition-{F}(V14,V15,V6), P_multiplication-{F}(V5,V15,V16), P_multiplication-{F}(V5,V17,V16), pppp3-{F}(V17,V14,V5) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #318: 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; #303 ), references = 1, size of lhs = 17:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V4,V0), P_addition-{F}(V5,V2,V1), P_multiplication-{F}(V5,V6,V0), P_multiplication-{F}(V7,V8,V3), P_multiplication-{F}(V9,V8,V4), P_addition-{F}(V10,V7,V9), P_multiplication-{F}(V10,V11,V6), P_addition-{F}(V8,V11,V12), P_multiplication-{F}(V10,V12,V13), pppp3-{F}(V13,V14,V5), P_multiplication-{F}(V5,V14,V15), P_multiplication-{F}(V16,V8,V15), P_addition-{F}(V10,V16,V17), P_multiplication-{F}(V17,V8,V5) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #334: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #304 ), references = 1, size of lhs = 27:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V2,V4,V0), P_addition-{F}(V5,V2,V1), P_addition-{F}(V5,V6,V1), P_multiplication-{F}(V5,V7,V5), P_multiplication-{F}(V6,V8,V0), P_multiplication-{F}(V6,V9,V0), P_multiplication-{F}(V5,V10,V0), P_multiplication-{F}(V5,V11,V0), P_multiplication-{F}(V12,V13,V3), P_multiplication-{F}(V14,V13,V4), P_addition-{F}(V15,V12,V14), P_multiplication-{F}(V15,V16,V11), P_addition-{F}(V13,V16,V17), P_multiplication-{F}(V15,V17,V18), P_multiplication-{F}(V19,V13,V7), P_addition-{F}(V15,V20,V19), P_multiplication-{F}(V20,V13,V21), pppp3-{F}(V18,V21,V5), P_multiplication-{F}(V22,V23,V8), P_multiplication-{F}(V24,V23,V9), P_addition-{F}(V25,V22,V24), P_multiplication-{F}(V25,V26,V10), P_addition-{F}(V23,V26,V27), P_multiplication-{F}(V25,V27,V21) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #385: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #367 ), references = 1, size of lhs = 21:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V1), P_multiplication-{F}(V5,V4,V0), P_multiplication-{F}(V6,V4,V0), P_multiplication-{F}(V7,V3,V0), P_multiplication-{F}(V8,V9,V5), P_multiplication-{F}(V8,V10,V0), P_multiplication-{F}(V8,V11,V6), P_addition-{F}(V9,V12,V11), P_addition-{F}(V10,V12,V13), P_multiplication-{F}(V14,V13,V7), P_addition-{F}(V14,V8,V15), P_multiplication-{F}(V15,V13,V16), P_addition-{F}(V17,V2,V16), pppp3-{F}(V18,V3,V17), P_multiplication-{F}(V17,V18,V19), P_multiplication-{F}(V20,V12,V19), P_addition-{F}(V20,V8,V21), P_multiplication-{F}(V21,V12,V17) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #440: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42; #401 ), references = 2, size of lhs = 34:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V1), P_addition-{F}(V4,V2,V1), pppp3-{F}(V4,V2,V5), P_multiplication-{F}(V5,V6,V0), P_multiplication-{F}(V7,V4,V0), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V8,V9,V5), P_addition-{F}(V9,V6,V1), P_multiplication-{F}(V10,V2,V0), P_multiplication-{F}(V11,V2,V0), P_multiplication-{F}(V12,V3,V0), P_multiplication-{F}(V13,V3,V0), P_multiplication-{F}(V14,V4,V0), P_multiplication-{F}(V14,V15,V12), P_addition-{F}(V15,V9,V16), P_multiplication-{F}(V14,V16,V13), P_multiplication-{F}(V14,V17,V0), P_addition-{F}(V17,V9,V18), P_multiplication-{F}(V19,V18,V5), P_multiplication-{F}(V20,V6,V0), P_multiplication-{F}(V21,V18,V20), P_addition-{F}(V22,V14,V21), P_multiplication-{F}(V22,V23,V10), P_addition-{F}(V18,V23,V24), P_multiplication-{F}(V22,V24,V11), P_addition-{F}(V19,V22,V25), P_multiplication-{F}(V25,V18,V20), P_multiplication-{F}(V22,V26,V0), P_addition-{F}(V26,V18,V27), P_multiplication-{F}(V28,V27,V14), P_addition-{F}(V22,V28,V29), P_multiplication-{F}(V29,V27,V8) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #501: mergings( V5 == V62, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V62 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49; #454 ), references = 1, size of lhs = 34:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V1), pppp3-{F}(V3,V4,V5), P_multiplication-{F}(V6,V5,V0), P_addition-{F}(V5,V7,V1), P_multiplication-{F}(V5,V7,V0), P_addition-{F}(V6,V5,V8), P_addition-{F}(V4,V9,V1), P_addition-{F}(V10,V5,V5), P_multiplication-{F}(V11,V5,V5), P_multiplication-{F}(V12,V2,V0), P_addition-{F}(V11,V12,V13), P_multiplication-{F}(V13,V5,V14), P_multiplication-{F}(V14,V7,V0), P_multiplication-{F}(V1,V5,V14), P_addition-{F}(V8,V2,V15), P_addition-{F}(V15,V5,V16), P_multiplication-{F}(V16,V5,V5), P_multiplication-{F}(V17,V9,V0), P_multiplication-{F}(V17,V3,V0), P_multiplication-{F}(V17,V10,V0), P_addition-{F}(V12,V17,V1), P_multiplication-{F}(V17,V18,V0), P_addition-{F}(V18,V2,V19), P_addition-{F}(V19,V5,V20), P_multiplication-{F}(V17,V20,V17), P_multiplication-{F}(V21,V4,V0), P_multiplication-{F}(V12,V22,V21), P_addition-{F}(V5,V22,V23), P_multiplication-{F}(V12,V23,V24), P_multiplication-{F}(V24,V4,V0) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #565: mergings( V12 == V66, V2 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V13 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V64 == V67, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V66, V66 == V14, V14 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54; #511 ), references = 1, size of lhs = 24:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V2), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V1), pppp3-{F}(V3,V4,V5), P_addition-{F}(V5,V5,V5), P_multiplication-{F}(V1,V5,V5), P_addition-{F}(V4,V6,V1), P_addition-{F}(V7,V5,V5), P_multiplication-{F}(V8,V5,V5), P_multiplication-{F}(V9,V2,V0), P_addition-{F}(V8,V9,V10), P_multiplication-{F}(V10,V5,V5), P_addition-{F}(V11,V2,V1), P_multiplication-{F}(V12,V1,V12), P_multiplication-{F}(V12,V6,V0), P_multiplication-{F}(V12,V3,V0), P_multiplication-{F}(V12,V7,V0), P_multiplication-{F}(V12,V11,V0), P_addition-{F}(V9,V12,V1), P_multiplication-{F}(V9,V1,V13), P_multiplication-{F}(V13,V4,V0) | P_c-{T}(V5,V0)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #587: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #574 ), references = 1, size of lhs = 38:
% 13.96/14.13 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V3,V1), P_addition-{F}(V4,V2,V1), pppp3-{F}(V4,V2,V5), P_multiplication-{F}(V5,V6,V0), P_multiplication-{F}(V7,V4,V0), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V8,V9,V5), P_addition-{F}(V9,V6,V1), P_multiplication-{F}(V10,V2,V0), P_multiplication-{F}(V11,V2,V0), P_multiplication-{F}(V12,V3,V0), P_multiplication-{F}(V13,V3,V0), P_addition-{F}(V14,V0,V1), P_addition-{F}(V15,V9,V14), P_addition-{F}(V2,V14,V16), P_multiplication-{F}(V17,V16,V17), P_multiplication-{F}(V17,V4,V0), P_multiplication-{F}(V17,V15,V0), P_multiplication-{F}(V17,V18,V12), P_addition-{F}(V18,V9,V19), P_multiplication-{F}(V17,V19,V13), P_multiplication-{F}(V20,V14,V5), P_multiplication-{F}(V21,V16,V8), P_multiplication-{F}(V21,V14,V22), P_multiplication-{F}(V22,V6,V0), P_multiplication-{F}(V23,V14,V22), P_multiplication-{F}(V24,V25,V20), P_multiplication-{F}(V26,V25,V17), P_multiplication-{F}(V27,V25,V23), P_addition-{F}(V24,V28,V27), P_multiplication-{F}(V28,V29,V10), P_addition-{F}(V25,V29,V30), P_multiplication-{F}(V28,V30,V11), P_addition-{F}(V28,V26,V31), P_multiplication-{F}(V31,V25,V21) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #599: exists( #33, #4 ), references = 1, size of lhs = 4:
% 13.96/14.13 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)
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #606: exists( #33, #604 ), references = 1, size of lhs = 7:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #608: exists( #33, #605 ), references = 1, size of lhs = 5:
% 13.96/14.13 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
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #613: mergings( V3 == V5, V4 == V6; #610 ), references = 2, size of lhs = 5:
% 13.96/14.13 pppp4-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V2), P_one-{F}(V2), P_zero-{F}(V3) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #666: mergings( V2 == V4, V4 == V8, V8 == V10, V3 == V5, V5 == V6, V6 == V7, V7 == V9; #658 ), references = 1, size of lhs = 3:
% 13.96/14.13 pppp4-{F}(V0), P_one-{F}(V1), P_zero-{F}(V2) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #677: mergings( V0 == V3, V3 == V5, V5 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10; #667 ), references = 1, size of lhs = 2:
% 13.96/14.13 P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #683: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #678 ), references = 1, size of lhs = 1:
% 13.96/14.13 P_zero-{F}(V0) | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 #685: exists( #32, #678 ), references = 1, size of lhs = 0:
% 13.96/14.13 FALSE | FALSE
% 13.96/14.13 (used 0 times, uses = {})
% 13.96/14.13
% 13.96/14.13 number of learnt formulas = 42
% 13.96/14.13
% 13.96/14.13
% 13.96/14.13 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.96/14.13
% 13.96/14.13 randbase = 1
%------------------------------------------------------------------------------