TSTP Solution File: KLE072+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:04 EDT 2022
% Result : Theorem 35.03s 35.26s
% Output : Refutation 35.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 16:43:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 35.03/35.26 GeoParameters:
% 35.03/35.26
% 35.03/35.26 tptp_input = 1
% 35.03/35.26 tptp_output = 0
% 35.03/35.26 nonempty = 1
% 35.03/35.26 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.03/35.26 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 35.03/35.26
% 35.03/35.26
% 35.03/35.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.03/35.26 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.03/35.26
% 35.03/35.26 RuleSystem INPUT:
% 35.03/35.26
% 35.03/35.26 Initial Rules:
% 35.03/35.26 #0: input, references = 5, size of lhs = 3:
% 35.03/35.26 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #1: input, references = 4, size of lhs = 5:
% 35.03/35.26 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
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #2: input, references = 3, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #3: input, references = 4, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #4: input, references = 4, size of lhs = 6:
% 35.03/35.26 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
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #5: input, references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #6: input, references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #7: input, references = 7, size of lhs = 8:
% 35.03/35.26 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
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #8: input, references = 7, size of lhs = 8:
% 35.03/35.26 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
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #9: input, references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #10: input, references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #11: input, references = 3, size of lhs = 5:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #12: input, references = 3, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #13: input, references = 5, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #14: input, references = 5, size of lhs = 8:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #15: input, references = 4, size of lhs = 5:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #16: input, references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #17: input, references = 5, size of lhs = 9:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #18: input, references = 4, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp2-{T}(V3)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #19: input, references = 5, size of lhs = 1:
% 35.03/35.26 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #20: input, references = 8, size of lhs = 1:
% 35.03/35.26 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #21: input, references = 10, size of lhs = 10:
% 35.03/35.26 pppp0-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V3), P_domain-{F}(V2,V4), P_multiplication-{F}(V3,V4,V5), P_domain-{F}(V5,V11), P_multiplication-{F}(V0,V4,V7), P_domain-{F}(V7,V8), P_multiplication-{F}(V1,V4,V9), P_domain-{F}(V9,V10), P_addition-{F}(V8,V10,V11) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #22: input, references = 15, size of lhs = 2:
% 35.03/35.26 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #23: input, references = 4, size of lhs = 0:
% 35.03/35.26 FALSE | EXISTS V0: P_zero-{T}(V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #24: input, references = 29, size of lhs = 2:
% 35.03/35.26 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #25: input, references = 4, size of lhs = 0:
% 35.03/35.26 FALSE | EXISTS V0: P_one-{T}(V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #26: input, references = 21, size of lhs = 1:
% 35.03/35.26 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 number of initial rules = 27
% 35.03/35.26
% 35.03/35.26 Simplifiers:
% 35.03/35.26 #27: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #28: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #29: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #30: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #31: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #32: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #33: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #34: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #35: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #36: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #37: unsound, references = 3, size of lhs = 3:
% 35.03/35.26 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 number of simplifiers = 11
% 35.03/35.26
% 35.03/35.26 Learnt:
% 35.03/35.26 #39: exists( #22, #3 ), references = 5, size of lhs = 2:
% 35.03/35.26 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #42: exists( #24, #5 ), references = 3, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #43: exists( #24, #6 ), references = 9, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #45: exists( #22, #13 ), references = 4, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V2,V4,V4)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #48: exists( #26, #16 ), references = 1, size of lhs = 2:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #53: exists( #22, #15 ), references = 2, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #54: exists( #22, #0 ), references = 9, size of lhs = 1:
% 35.03/35.26 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #62: mergings( V2 == V3, V3 == V4, V0 == V5; #58 ), references = 1, size of lhs = 2:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #64: exists( #24, #10 ), references = 8, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #66: exists( #22, #8 ), references = 12, size of lhs = 6:
% 35.03/35.26 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)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #68: exists( #26, #14 ), references = 13, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #80: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #73 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), pppp0-{F}(V0,V1,V2), P_multiplication-{F}(V1,V2,V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #90: mergings( V3 == V4, V4 == V0, V0 == V6, V6 == V8, V1 == V5, V5 == V7, V7 == V9; #82 ), references = 1, size of lhs = 5:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), pppp1-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_one-{F}(V1) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #99: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #94 ), references = 2, size of lhs = 10:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V2), pppp0-{F}(V5,V6,V3), P_multiplication-{F}(V6,V4,V7), P_addition-{F}(V5,V6,V8), P_multiplication-{F}(V8,V4,V7) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #101: exists( #24, #99 ), references = 1, size of lhs = 8:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_addition-{F}(V3,V4,V4), pppp0-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V3,V6,V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #106: mergings( V2 == V4, V3 == V5; #103 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V0,V2,V2), pppp0-{F}(V0,V2,V3) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #110: mergings( V0 == V4, V3 == V5; #107 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), pppp1-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_one-{F}(V2), P_addition-{F}(V0,V2,V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #122: mergings( V0 == V2, V2 == V5, V5 == V8, V3 == V4, V4 == V6, V6 == V7, V7 == V9; #114 ), references = 1, size of lhs = 5:
% 35.03/35.26 pppp2-{F}(V0), P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #124: exists( #24, #9 ), references = 1, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #131: mergings( V3 == V5, V4 == V6; #127 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #134: mergings( V3 == V5, V4 == V6; #128 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #137: exists( #26, #135 ), references = 1, size of lhs = 7:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V1,V2), pppp0-{F}(V3,V4,V1), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V5,V2,V6), P_multiplication-{F}(V3,V2,V6), P_multiplication-{F}(V4,V2,V6) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #139: exists( #24, #136 ), references = 1, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_addition-{F}(V1,V1,V1), pppp0-{F}(V1,V1,V2), P_domain-{F}(V2,V3) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #141: exists( #26, #138 ), references = 1, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_addition-{F}(V1,V1,V1), pppp0-{F}(V1,V1,V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #143: exists( #20, #140 ), references = 1, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), pppp1-{F}(V1,V1), P_addition-{F}(V1,V1,V1) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #145: exists( #26, #14 ), references = 3, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V6,V7) | P_domain-{T}(V5,V7)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #156: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #151 ), references = 3, size of lhs = 10:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V2), pppp0-{F}(V6,V5,V3), P_multiplication-{F}(V6,V4,V7), P_addition-{F}(V6,V5,V8), P_multiplication-{F}(V8,V4,V7) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #162: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #157 ), references = 3, size of lhs = 8:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_addition-{F}(V3,V4,V3), pppp0-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V6,V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #167: mergings( V2 == V4, V3 == V5; #164 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V2,V0,V2), pppp0-{F}(V2,V0,V3) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #171: mergings( V1 == V4, V3 == V5; #168 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_addition-{F}(V2,V0,V2), pppp1-{F}(V2,V0) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #176: exists( #26, #17 ), references = 3, size of lhs = 7:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #182: mergings( V3 == V5, V4 == V6; #179 ), references = 2, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V1), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6,V3), P_domain-{F}(V6,V7), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V4,V1,V9), P_domain-{F}(V9,V10), P_multiplication-{F}(V6,V1,V11), P_domain-{F}(V11,V12), P_addition-{F}(V10,V12,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #184: exists( #22, #182 ), references = 1, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V1), P_domain-{F}(V4,V5), pppp0-{F}(V4,V6,V3), P_domain-{F}(V6,V7), P_multiplication-{F}(V4,V1,V8), P_domain-{F}(V8,V5), P_multiplication-{F}(V6,V1,V9), P_domain-{F}(V9,V7) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #186: exists( #26, #183 ), references = 1, size of lhs = 9:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_multiplication-{F}(V3,V1,V3), P_domain-{F}(V4,V1), pppp0-{F}(V5,V3,V4), P_domain-{F}(V5,V6), P_multiplication-{F}(V5,V1,V7), P_domain-{F}(V7,V6) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #188: exists( #22, #7 ), references = 4, size of lhs = 6:
% 35.03/35.26 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)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #197: mergings( V3 == V5, V4 == V6; #192 ), references = 1, size of lhs = 9:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V2), P_addition-{F}(V6,V5,V6), pppp0-{F}(V6,V5,V7), P_domain-{F}(V7,V4) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #198: exists( #24, #190 ), references = 3, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain-{F}(V4,V3), P_multiplication-{F}(V5,V2,V6), P_domain-{F}(V6,V7), pppp0-{F}(V8,V5,V4), P_addition-{F}(V8,V5,V9), P_multiplication-{F}(V9,V3,V10), P_domain-{F}(V10,V11), P_multiplication-{F}(V8,V3,V12), P_domain-{F}(V12,V13), P_addition-{F}(V13,V7,V11) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #201: mergings( V3 == V5, V4 == V6; #194 ), references = 2, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V2), P_domain-{F}(V6,V4), pppp0-{F}(V7,V5,V6), P_multiplication-{F}(V7,V4,V8), P_addition-{F}(V7,V5,V9), P_multiplication-{F}(V9,V4,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #203: exists( #22, #1 ), references = 3, size of lhs = 3:
% 35.03/35.26 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V2,V4), P_addition-{F}(V3,V0,V5) | P_addition-{T}(V5,V1,V4)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #205: exists( #22, #17 ), references = 1, size of lhs = 7:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8) | P_addition-{T}(V4,V8,V7)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #212: mergings( V2 == V5, V3 == V6; #208 ), references = 2, size of lhs = 15:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V7), P_multiplication-{F}(V8,V7,V5), P_domain-{F}(V9,V7), pppp0-{F}(V8,V10,V9), P_multiplication-{F}(V10,V6,V11), P_addition-{F}(V3,V11,V12), P_domain-{F}(V12,V13), P_addition-{F}(V8,V10,V14), P_multiplication-{F}(V14,V7,V15), P_domain-{F}(V15,V13) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #219: mergings( V3 == V5, V5 == V8, V4 == V6, V6 == V9; #214 ), references = 2, size of lhs = 16:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_addition-{F}(V6,V9,V10), P_multiplication-{F}(V10,V4,V11), P_domain-{F}(V11,V12), P_domain-{F}(V13,V8), P_multiplication-{F}(V14,V3,V13), P_addition-{F}(V14,V9,V15), P_multiplication-{F}(V15,V3,V16), P_domain-{F}(V16,V12) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #227: exists( #24, #221 ), references = 1, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain-{F}(V4,V3), P_multiplication-{F}(V5,V3,V6), P_domain-{F}(V6,V7), P_addition-{F}(V5,V8,V8), pppp0-{F}(V5,V8,V4), P_multiplication-{F}(V8,V2,V9), P_domain-{F}(V9,V10), P_addition-{F}(V7,V10,V10) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #230: mergings( V3 == V5, V4 == V6; #225 ), references = 2, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain-{F}(V4,V3), P_domain-{F}(V5,V3), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V9,V6,V5), P_addition-{F}(V9,V6,V10), P_multiplication-{F}(V10,V2,V11), P_domain-{F}(V11,V12), P_multiplication-{F}(V9,V3,V13), P_domain-{F}(V13,V14), P_addition-{F}(V14,V8,V12) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #233: mergings( V3 == V5, V4 == V7; #226 ), references = 4, size of lhs = 16:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_domain-{F}(V7,V8), P_domain-{F}(V9,V8), P_multiplication-{F}(V10,V4,V9), pppp0-{F}(V10,V11,V6), P_multiplication-{F}(V11,V5,V12), P_addition-{F}(V7,V12,V13), P_domain-{F}(V13,V14), P_addition-{F}(V10,V11,V15), P_multiplication-{F}(V15,V3,V16), P_domain-{F}(V16,V14) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #235: exists( #26, #233 ), references = 3, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_domain-{F}(V7,V8), P_domain-{F}(V9,V8), P_multiplication-{F}(V10,V4,V9), pppp0-{F}(V10,V11,V6), P_multiplication-{F}(V11,V5,V12), P_addition-{F}(V7,V12,V13), P_addition-{F}(V10,V11,V14), P_multiplication-{F}(V14,V3,V13) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #241: mergings( V3 == V5, V4 == V7; #238 ), references = 1, size of lhs = 12:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), P_addition-{F}(V6,V9,V9), pppp0-{F}(V6,V9,V5), P_addition-{F}(V9,V10,V9), P_multiplication-{F}(V10,V3,V11), P_domain-{F}(V11,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #244: exists( #24, #4 ), references = 2, size of lhs = 4:
% 35.03/35.26 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)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #246: exists( #24, #7 ), references = 1, size of lhs = 6:
% 35.03/35.26 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)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #248: exists( #24, #8 ), references = 5, size of lhs = 6:
% 35.03/35.26 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)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #291: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #283 ), references = 1, size of lhs = 21:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_multiplication-{F}(V7,V4,V8), P_domain-{F}(V8,V9), pppp0-{F}(V7,V10,V6), P_addition-{F}(V7,V10,V11), P_multiplication-{F}(V10,V5,V12), P_domain-{F}(V13,V9), P_addition-{F}(V14,V12,V14), P_multiplication-{F}(V15,V3,V14), P_addition-{F}(V16,V15,V11), P_multiplication-{F}(V16,V3,V17), P_multiplication-{F}(V18,V19,V17), P_multiplication-{F}(V18,V20,V14), P_addition-{F}(V20,V19,V21), P_domain-{F}(V21,V22), P_multiplication-{F}(V18,V22,V13) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #298: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V11; #284 ), references = 1, size of lhs = 21:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_multiplication-{F}(V7,V4,V8), P_domain-{F}(V8,V9), pppp0-{F}(V7,V10,V6), P_addition-{F}(V7,V10,V11), P_multiplication-{F}(V10,V5,V12), P_domain-{F}(V13,V9), P_addition-{F}(V14,V12,V14), P_multiplication-{F}(V15,V3,V14), P_addition-{F}(V16,V15,V11), P_multiplication-{F}(V16,V3,V17), P_multiplication-{F}(V18,V19,V17), P_multiplication-{F}(V18,V20,V14), P_addition-{F}(V20,V19,V21), P_domain-{F}(V21,V22), P_multiplication-{F}(V18,V22,V13) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #310: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V12; #301 ), references = 1, size of lhs = 16:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_addition-{F}(V6,V9,V10), P_addition-{F}(V11,V9,V10), P_multiplication-{F}(V11,V3,V12), P_multiplication-{F}(V9,V13,V12), P_addition-{F}(V3,V13,V14), P_domain-{F}(V14,V15), P_multiplication-{F}(V9,V15,V16), P_domain-{F}(V16,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #318: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V12; #302 ), references = 1, size of lhs = 16:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_addition-{F}(V6,V9,V10), P_addition-{F}(V11,V9,V10), P_multiplication-{F}(V11,V3,V12), P_multiplication-{F}(V9,V13,V12), P_addition-{F}(V3,V13,V14), P_domain-{F}(V14,V15), P_multiplication-{F}(V9,V15,V16), P_domain-{F}(V16,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #328: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V12; #319 ), references = 1, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_multiplication-{F}(V6,V3,V10), P_multiplication-{F}(V9,V11,V10), P_addition-{F}(V3,V11,V12), P_domain-{F}(V12,V13), P_multiplication-{F}(V9,V13,V14), P_domain-{F}(V14,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #336: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V12; #320 ), references = 1, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_multiplication-{F}(V6,V3,V10), P_multiplication-{F}(V9,V11,V10), P_addition-{F}(V3,V11,V12), P_domain-{F}(V12,V13), P_multiplication-{F}(V9,V13,V14), P_domain-{F}(V14,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #354: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V15, V5 == V14, V17 == V19; #341 ), references = 1, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6), P_addition-{F}(V4,V6,V7), P_domain-{F}(V8,V6), P_multiplication-{F}(V9,V6,V10), P_domain-{F}(V10,V11), pppp0-{F}(V9,V12,V8), P_multiplication-{F}(V9,V5,V13), P_multiplication-{F}(V12,V3,V13), P_multiplication-{F}(V12,V7,V14), P_domain-{F}(V14,V11) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #366: mergings( V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V8, V8 == V10, V10 == V12, V12 == V15, V5 == V14, V17 == V19; #342 ), references = 1, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V6), P_addition-{F}(V4,V6,V7), P_domain-{F}(V8,V6), P_multiplication-{F}(V9,V6,V10), P_domain-{F}(V10,V11), pppp0-{F}(V9,V12,V8), P_multiplication-{F}(V9,V5,V13), P_multiplication-{F}(V12,V3,V13), P_multiplication-{F}(V12,V7,V14), P_domain-{F}(V14,V11) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #383: mergings( V13 == V16, V3 == V5, V14 == V17, V4 == V7; #377 ), references = 2, size of lhs = 12:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V3), P_domain-{F}(V4,V3), P_domain-{F}(V5,V3), P_multiplication-{F}(V6,V4,V7), P_domain-{F}(V7,V8), pppp0-{F}(V6,V9,V5), P_addition-{F}(V6,V9,V10), P_multiplication-{F}(V10,V3,V11), P_domain-{F}(V11,V12) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #388: mergings( V3 == V5, V4 == V6; #385 ), references = 1, size of lhs = 7:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V6,V5,V7), P_multiplication-{F}(V6,V4,V8), P_multiplication-{F}(V6,V3,V8) | P_multiplication-{T}(V6,V2,V7)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #390: exists( #26, #383 ), references = 1, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V3), P_domain-{F}(V4,V3), P_domain-{F}(V5,V3), P_multiplication-{F}(V6,V4,V7), pppp0-{F}(V6,V8,V5), P_addition-{F}(V6,V8,V9), P_multiplication-{F}(V9,V3,V10), P_domain-{F}(V10,V11) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #392: exists( #24, #389 ), references = 1, size of lhs = 10:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V3), P_domain-{F}(V4,V3), P_domain-{F}(V5,V3), pppp0-{F}(V6,V7,V5), P_addition-{F}(V6,V7,V8), P_multiplication-{F}(V8,V3,V9), P_domain-{F}(V9,V10) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #402: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6, V6 == V9; #396 ), references = 1, size of lhs = 8:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V4,V5,V6), P_multiplication-{F}(V7,V5,V6), P_addition-{F}(V3,V7,V8), P_multiplication-{F}(V8,V5,V9) | P_multiplication-{T}(V3,V5,V9)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #435: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #428 ), references = 1, size of lhs = 7:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V0), P_addition-{F}(V6,V5,V6), P_multiplication-{F}(V6,V3,V2) | P_multiplication-{T}(V6,V4,V0)
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #453: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #447 ), references = 1, size of lhs = 12:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_addition-{F}(V3,V4,V4), pppp0-{F}(V4,V5,V6), P_domain-{F}(V6,V7), P_multiplication-{F}(V5,V7,V2), P_addition-{F}(V4,V5,V8), P_addition-{F}(V9,V4,V8), P_multiplication-{F}(V9,V7,V10), P_multiplication-{F}(V3,V7,V10) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #458: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #448 ), references = 1, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V2), P_domain-{F}(V6,V4), pppp0-{F}(V7,V5,V6), P_addition-{F}(V7,V5,V8), P_addition-{F}(V9,V7,V8), P_multiplication-{F}(V9,V4,V10), P_multiplication-{F}(V11,V4,V10), P_addition-{F}(V11,V7,V7) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #483: mergings( V2 == V3, V3 == V5, V4 == V6; #477 ), references = 1, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V7,V8), P_domain-{F}(V9,V8), P_multiplication-{F}(V10,V8,V6), P_multiplication-{F}(V11,V9,V5), pppp0-{F}(V10,V11,V12), P_domain-{F}(V12,V8), P_addition-{F}(V10,V11,V13), P_multiplication-{F}(V13,V7,V5) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #486: mergings( V2 == V4, V3 == V6; #478 ), references = 1, size of lhs = 15:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V5,V4,V7), P_domain-{F}(V8,V9), P_domain-{F}(V10,V9), P_multiplication-{F}(V11,V9,V7), P_domain-{F}(V12,V9), pppp0-{F}(V11,V13,V12), P_multiplication-{F}(V13,V10,V14), P_addition-{F}(V6,V14,V15), P_addition-{F}(V11,V13,V16), P_multiplication-{F}(V16,V8,V15) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #489: mergings( V2 == V4, V3 == V6; #479 ), references = 1, size of lhs = 15:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V3,V6), P_multiplication-{F}(V5,V4,V7), P_addition-{F}(V6,V8,V6), P_domain-{F}(V9,V10), P_domain-{F}(V11,V10), P_multiplication-{F}(V12,V10,V7), P_multiplication-{F}(V13,V11,V8), pppp0-{F}(V12,V13,V14), P_domain-{F}(V14,V10), P_addition-{F}(V12,V13,V15), P_multiplication-{F}(V15,V9,V6) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #496: mergings( V3 == V4, V4 == V6, V5 == V7; #490 ), references = 1, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_domain-{F}(V4,V3), P_domain-{F}(V5,V3), P_domain-{F}(V6,V3), P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V9,V5,V8), pppp0-{F}(V7,V9,V6), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V10,V4,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #499: mergings( V3 == V5, V4 == V7; #491 ), references = 2, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_domain-{F}(V7,V4), P_multiplication-{F}(V8,V3,V9), pppp0-{F}(V8,V10,V7), P_multiplication-{F}(V10,V6,V11), P_addition-{F}(V9,V11,V12), P_addition-{F}(V8,V10,V13), P_multiplication-{F}(V13,V5,V12) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #502: mergings( V3 == V5, V4 == V7; #492 ), references = 1, size of lhs = 13:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_domain-{F}(V7,V4), P_multiplication-{F}(V8,V3,V9), pppp0-{F}(V8,V10,V7), P_multiplication-{F}(V10,V6,V11), P_addition-{F}(V9,V11,V9), P_addition-{F}(V8,V10,V12), P_multiplication-{F}(V12,V5,V9) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #520: mergings( V3 == V5, V4 == V7; #515 ), references = 1, size of lhs = 14:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_domain-{F}(V7,V4), P_multiplication-{F}(V8,V3,V9), pppp0-{F}(V8,V10,V7), P_multiplication-{F}(V10,V6,V11), P_addition-{F}(V8,V10,V12), P_multiplication-{F}(V13,V5,V11), P_multiplication-{F}(V14,V5,V9), P_addition-{F}(V13,V14,V12) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #524: mergings( V3 == V5, V4 == V7; #521 ), references = 1, size of lhs = 11:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), P_domain-{F}(V6,V4), P_multiplication-{F}(V7,V3,V8), pppp0-{F}(V7,V9,V6), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V11,V5,V8), P_addition-{F}(V9,V11,V10) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #528: mergings( V3 == V5, V4 == V7; #525 ), references = 1, size of lhs = 8:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), pppp0-{F}(V6,V7,V5), P_addition-{F}(V6,V7,V8), P_addition-{F}(V7,V6,V8) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #533: mergings( V3 == V5, V4 == V7; #530 ), references = 1, size of lhs = 6:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_domain-{F}(V3,V4), P_domain-{F}(V5,V4), pppp0-{F}(V6,V7,V5) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #543: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V10; #536 ), references = 2, size of lhs = 5:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V4,V5,V3) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #547: mergings( V3 == V4; #545 ), references = 1, size of lhs = 4:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), pppp1-{F}(V3,V4) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #550: mergings( V2 == V3; #548 ), references = 1, size of lhs = 4:
% 35.03/35.26 pppp2-{F}(V0), P_zero-{F}(V1), P_domain-{F}(V1,V2), P_one-{F}(V3) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #556: mergings( V0 == V4, V4 == V5, V1 == V7, V2 == V6; #551 ), references = 1, size of lhs = 3:
% 35.03/35.26 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #560: mergings( V1 == V2; #558 ), references = 1, size of lhs = 1:
% 35.03/35.26 P_zero-{F}(V0) | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 #562: exists( #23, #558 ), references = 1, size of lhs = 0:
% 35.03/35.26 FALSE | FALSE
% 35.03/35.26 (used 0 times, uses = {})
% 35.03/35.26
% 35.03/35.26 number of learnt formulas = 82
% 35.03/35.26
% 35.03/35.26
% 35.03/35.26 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 35.03/35.26
% 35.03/35.26 randbase = 1
%------------------------------------------------------------------------------