TSTP Solution File: KLE035+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE035+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:06:59 EDT 2022
% Result : Theorem 219.26s 219.41s
% Output : Refutation 219.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE035+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 16:29:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 219.26/219.41 GeoParameters:
% 219.26/219.41
% 219.26/219.41 tptp_input = 1
% 219.26/219.41 tptp_output = 0
% 219.26/219.41 nonempty = 1
% 219.26/219.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.26/219.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 219.26/219.41
% 219.26/219.41
% 219.26/219.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.26/219.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.26/219.41
% 219.26/219.41 RuleSystem INPUT:
% 219.26/219.41
% 219.26/219.41 Initial Rules:
% 219.26/219.41 #0: input, references = 4, size of lhs = 3:
% 219.26/219.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1: input, references = 5, size of lhs = 5:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #2: input, references = 4, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #3: input, references = 4, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #4: input, references = 5, size of lhs = 6:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #5: input, references = 4, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #6: input, references = 4, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #7: input, references = 7, size of lhs = 8:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #8: input, references = 7, size of lhs = 8:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #9: input, references = 4, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #10: input, references = 4, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #11: input, references = 5, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #12: input, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #13: input, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #14: input, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #15: input, references = 5, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #16: input, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #17: input, references = 5, size of lhs = 1:
% 219.26/219.41 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #18: input, references = 9, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #19: input, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #20: input, references = 6, size of lhs = 7:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #21: input, references = 5, size of lhs = 7:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #22: input, references = 5, size of lhs = 7:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #23: input, references = 3, size of lhs = 5:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #24: input, references = 7, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #25: input, references = 5, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #26: input, references = 10, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #27: input, references = 7, size of lhs = 10:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_multiplication-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #28: input, references = 5, size of lhs = 10:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7), P_addition-{F}(V7,V3,V8), test-{F}(V4), V6 == V8 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #29: input, references = 4, size of lhs = 2:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp6-{T}(V2,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #30: input, references = 6, size of lhs = 2:
% 219.26/219.41 pppp6-{F}(V0,V1), P_c-{F}(V0,V2) | EXISTS V3: pppp5-{T}(V3,V1,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #31: input, references = 3, size of lhs = 2:
% 219.26/219.41 pppp6-{F}(V0,V1), P_c-{F}(V0,V2) | test-{T}(V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #32: input, references = 7, size of lhs = 1:
% 219.26/219.41 pppp5-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V3,V0,V1,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #33: input, references = 3, size of lhs = 1:
% 219.26/219.41 pppp5-{F}(V0,V1,V2) | test-{T}(V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #34: input, references = 8, size of lhs = 3:
% 219.26/219.41 pppp4-{F}(V0,V1,V2,V3), P_multiplication-{F}(V1,V0,V4), P_multiplication-{F}(V4,V3,V5) | EXISTS V6: pppp3-{T}(V6,V0,V1,V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #35: input, references = 5, size of lhs = 3:
% 219.26/219.41 pppp4-{F}(V0,V1,V2,V3), P_multiplication-{F}(V1,V0,V4), P_multiplication-{F}(V4,V3,V5) | leq-{T}(V5,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #36: input, references = 12, size of lhs = 7:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V2,V0,V5), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V0,V1,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V4,V9), leq-{F}(V9,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #37: input, references = 7, size of lhs = 6:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V2,V0,V5), P_multiplication-{F}(V5,V4,V6), P_addition-{F}(V0,V1,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V4,V9) | leq-{T}(V6,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #38: input, references = 20, size of lhs = 2:
% 219.26/219.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #39: input, references = 4, size of lhs = 0:
% 219.26/219.41 FALSE | EXISTS V0: P_zero-{T}(V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #40: input, references = 35, size of lhs = 2:
% 219.26/219.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #41: input, references = 4, size of lhs = 0:
% 219.26/219.41 FALSE | EXISTS V0: P_one-{T}(V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #42: input, references = 10, size of lhs = 1:
% 219.26/219.41 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 number of initial rules = 43
% 219.26/219.41
% 219.26/219.41 Simplifiers:
% 219.26/219.41 #43: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #44: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #45: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #46: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #47: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #48: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #49: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #50: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V3,V4), V1 == V6 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #51: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V3,V4), V2 == V7 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #52: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #53: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #54: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V2,V3), V1 == V5 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #55: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #56: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #57: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V1 == V4 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #58: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #59: unsound, references = 3, size of lhs = 3:
% 219.26/219.41 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 number of simplifiers = 17
% 219.26/219.41
% 219.26/219.41 Learnt:
% 219.26/219.41 #61: exists( #38, #3 ), references = 2, size of lhs = 2:
% 219.26/219.41 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #64: exists( #40, #5 ), references = 7, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #65: exists( #40, #6 ), references = 6, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #68: exists( #40, #9 ), references = 10, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #69: exists( #40, #10 ), references = 4, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #71: exists( #38, #2 ), references = 13, size of lhs = 2:
% 219.26/219.41 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #77: exists( #40, #22 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #79: mergings( V4 == V3; #74 ), references = 1, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #85: exists( #38, #0 ), references = 22, size of lhs = 1:
% 219.26/219.41 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #89: exists( #42, #25 ), references = 1, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #97: exists( #38, #93 ), references = 5, size of lhs = 6:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #99: mergings( V5 == V3; #96 ), references = 1, size of lhs = 6:
% 219.26/219.41 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
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #107: exists( #42, #28 ), references = 4, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #112: exists( #42, #27 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V4,V6), P_multiplication-{F}(V6,V3,V7) | P_c-{T}(V5,V7)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #129: exists( #38, #28 ), references = 2, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_multiplication-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_addition-{T}(V7,V3,V6)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #133: exists( #40, #27 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #155: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #147 ), references = 1, size of lhs = 3:
% 219.26/219.41 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #179: exists( #38, #1 ), references = 11, size of lhs = 3:
% 219.26/219.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #194: exists( #40, #97 ), references = 1, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #199: mergings( V3 == V5, V4 == V6; #196 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #204: mergings( V3 == V5, V4 == V6; #201 ), references = 3, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #211: exists( #40, #27 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V4), P_addition-{F}(V4,V2,V5), P_c-{F}(V5,V6), P_c-{F}(V4,V7) | P_multiplication-{T}(V7,V3,V6)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #220: mergings( V3 == V4; #217 ), references = 5, size of lhs = 5:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #222: mergings( V3 == V4; #218 ), references = 3, size of lhs = 5:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #225: exists( #38, #7 ), references = 7, size of lhs = 6:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #226: exists( #38, #8 ), references = 6, size of lhs = 6:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #265: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #251 ), references = 2, size of lhs = 8:
% 219.26/219.41 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5 | P_multiplication-{T}(V2,V0,V5)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #279: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #252 ), references = 1, size of lhs = 13:
% 219.26/219.41 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #293: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19; #253 ), references = 1, size of lhs = 13:
% 219.26/219.41 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), P_one-{F}(V4), P_zero-{F}(V5), V4 == V5, P_addition-{F}(V2,V6,V7), P_multiplication-{F}(V7,V0,V8), P_multiplication-{F}(V6,V0,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #303: mergings( V2 == V4, V3 == V5; #300 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #315: mergings( V0 == V2, V2 == V6, V6 == V11, V11 == V12, V1 == V3, V3 == V7, V7 == V10, V10 == V13; #306 ), references = 1, size of lhs = 13:
% 219.26/219.41 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V4,V1,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V5,V7,V8), P_multiplication-{F}(V5,V6,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #319: exists( #40, #97 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #320: exists( #40, #8 ), references = 3, size of lhs = 6:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #322: exists( #40, #317 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #343: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V15, V1 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16; #329 ), references = 1, size of lhs = 7:
% 219.26/219.41 pppp0-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_multiplication-{F}(V3,V0,V1), P_addition-{F}(V0,V3,V2), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5) | pppp2-{T}(V0,V5)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #381: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #376 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), P_c-{F}(V2,V0), P_addition-{F}(V3,V2,V3) | P_c-{T}(V3,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #383: exists( #40, #7 ), references = 5, size of lhs = 6:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #404: mergings( V3 == V4, V4 == V6, V5 == V7, V10 == V12; #399 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V6,V5), pppp3-{F}(V4,V6,V2,V7,V1) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #411: mergings( V3 == V4, V4 == V6, V5 == V7; #407 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V6,V7), pppp3-{F}(V7,V3,V2,V8,V1) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #421: mergings( V7 == V8, V8 == V9, V9 == V10, V10 == V4, V3 == V11; #415 ), references = 2, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V3,V4,V0), pppp4-{F}(V4,V3,V5,V1), P_addition-{F}(V4,V0,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #447: mergings( V3 == V4, V4 == V6, V5 == V7; #443 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V2,V3,V0,V1) | P_multiplication-{T}(V3,V2,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #454: mergings( V4 == V5, V5 == V1, V6 == V2; #450 ), references = 1, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp5-{F}(V2,V0,V1), P_multiplication-{F}(V0,V1,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #459: mergings( V4 == V5, V5 == V1, V6 == V2; #455 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), pppp6-{F}(V1,V0), P_c-{F}(V1,V2), P_one-{F}(V2), P_multiplication-{F}(V0,V2,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #486: exists( #40, #484 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_addition-{F}(V3,V4,V3), pppp3-{F}(V3,V4,V5,V2,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #503: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #497 ), references = 2, size of lhs = 13:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V6,V5), P_multiplication-{F}(V2,V6,V7), P_addition-{F}(V2,V8,V9), P_multiplication-{F}(V9,V4,V10), P_multiplication-{F}(V8,V4,V11), P_addition-{F}(V7,V11,V12), P_addition-{F}(V11,V13,V12), P_addition-{F}(V10,V13,V14), V14 == V10 | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #506: exists( #38, #504 ), references = 1, size of lhs = 9:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V6,V5), P_multiplication-{F}(V2,V6,V7), P_addition-{F}(V2,V8,V9), P_multiplication-{F}(V9,V4,V10), P_multiplication-{F}(V8,V4,V10) | P_addition-{T}(V7,V10,V10)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #508: exists( #40, #4 ), references = 3, size of lhs = 4:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #522: mergings( V3 == V4, V4 == V6, V5 == V7; #518 ), references = 1, size of lhs = 7:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V4,V0), pppp3-{F}(V5,V6,V3,V2,V0), P_addition-{F}(V5,V6,V7), P_addition-{F}(V4,V5,V7) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #528: mergings( V3 == V4, V4 == V6, V5 == V7; #524 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V4,V0), pppp3-{F}(V5,V4,V3,V2,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #534: mergings( V7 == V3, V3 == V9, V9 == V4, V8 == V10; #529 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V0,V0,V3), pppp4-{F}(V4,V5,V2,V0), P_multiplication-{F}(V5,V4,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #576: exists( #38, #574 ), references = 5, size of lhs = 11:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), pppp3-{F}(V6,V4,V2,V10,V11), P_multiplication-{F}(V9,V11,V12), P_multiplication-{F}(V8,V11,V13), leq-{F}(V13,V10) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #588: mergings( V3 == V5, V4 == V6; #584 ), references = 2, size of lhs = 9:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V8,V0,V9), leq-{F}(V9,V10), pppp3-{F}(V6,V4,V2,V10,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #589: exists( #40, #583 ), references = 2, size of lhs = 7:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), leq-{F}(V3,V4), P_multiplication-{F}(V5,V6,V2), pppp3-{F}(V7,V8,V5,V4,V0), P_addition-{F}(V7,V8,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #610: mergings( V2 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #597 ), references = 1, size of lhs = 13:
% 219.26/219.41 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), P_addition-{F}(V3,V1,V4), P_multiplication-{F}(V5,V0,V6), P_c-{F}(V6,V7), P_multiplication-{F}(V8,V9,V2), P_addition-{F}(V9,V10,V7), P_multiplication-{F}(V8,V4,V11), P_multiplication-{F}(V11,V2,V12), leq-{F}(V12,V13), pppp3-{F}(V5,V10,V8,V13,V2) | P_c-{T}(V5,V2)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #629: mergings( V3 == V5; #625 ), references = 1, size of lhs = 7:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V4,V0), P_addition-{F}(V4,V5,V6), pppp3-{F}(V7,V5,V3,V2,V0), P_addition-{F}(V6,V7,V8) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #631: mergings( V3 == V5; #626 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), pppp3-{F}(V3,V4,V5,V2,V0), P_addition-{F}(V3,V4,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #637: mergings( V3 == V5; #634 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V4,V0), P_addition-{F}(V4,V5,V6), pppp3-{F}(V7,V5,V3,V2,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #639: mergings( V3 == V5; #635 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_addition-{F}(V6,V3,V7), pppp3-{F}(V5,V6,V8,V2,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #642: mergings( V7 == V8; #640 ), references = 2, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), pppp4-{F}(V3,V4,V2,V0), P_multiplication-{F}(V4,V3,V5), P_multiplication-{F}(V5,V0,V6), P_multiplication-{F}(V4,V7,V0), P_addition-{F}(V7,V3,V8) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #652: mergings( V3 == V5; #650 ), references = 1, size of lhs = 6:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), pppp4-{F}(V3,V4,V2,V0), P_multiplication-{F}(V4,V5,V0), P_addition-{F}(V5,V3,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #658: mergings( V4 == V2, V5 == V6; #655 ), references = 2, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), pppp5-{F}(V3,V2,V0), P_multiplication-{F}(V3,V0,V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #662: mergings( V4 == V5; #660 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_c-{F}(V1,V0), pppp6-{F}(V1,V2), leq-{F}(V0,V2), P_one-{F}(V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #685: mergings( V3 == V5, V4 == V6; #682 ), references = 1, size of lhs = 9:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V0), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V0,V5,V6), pppp3-{F}(V5,V3,V0,V7,V8), P_multiplication-{F}(V6,V8,V9), P_multiplication-{F}(V0,V8,V10), leq-{F}(V10,V7) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #692: mergings( V1 == V9, V13 == V14, V7 == V8, V8 == V10; #687 ), references = 2, size of lhs = 9:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V0), P_multiplication-{F}(V0,V3,V4), P_addition-{F}(V2,V3,V5), pppp4-{F}(V3,V0,V6,V7), P_multiplication-{F}(V4,V7,V8), P_multiplication-{F}(V0,V7,V9), leq-{F}(V9,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #699: mergings( V4 == V0, V7 == V8, V5 == V6; #695 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp5-{F}(V0,V2,V3), P_multiplication-{F}(V0,V3,V4), leq-{F}(V4,V2) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #746: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #739 ), references = 2, size of lhs = 17:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V4,V6,V7), P_multiplication-{F}(V5,V6,V8), P_addition-{F}(V7,V9,V10), P_multiplication-{F}(V2,V10,V11), P_addition-{F}(V8,V9,V12), P_multiplication-{F}(V2,V12,V13), P_multiplication-{F}(V11,V14,V0), P_multiplication-{F}(V13,V14,V15), P_addition-{F}(V6,V16,V17), P_multiplication-{F}(V3,V17,V18), P_multiplication-{F}(V18,V14,V19), leq-{F}(V19,V20), pppp3-{F}(V6,V16,V3,V20,V14) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #754: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V5 == V7, V7 == V9, V9 == V11; #740 ), references = 2, size of lhs = 19:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_multiplication-{F}(V3,V4,V0), P_addition-{F}(V4,V5,V6), P_addition-{F}(V6,V7,V8), P_multiplication-{F}(V3,V8,V9), P_addition-{F}(V3,V10,V11), P_multiplication-{F}(V11,V7,V12), P_multiplication-{F}(V10,V7,V13), P_addition-{F}(V13,V14,V15), P_addition-{F}(V12,V14,V16), P_multiplication-{F}(V2,V16,V17), P_multiplication-{F}(V2,V15,V18), P_multiplication-{F}(V18,V19,V0), P_multiplication-{F}(V17,V19,V20), P_multiplication-{F}(V9,V19,V21), leq-{F}(V21,V22), pppp3-{F}(V7,V5,V3,V22,V19) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #767: exists( #40, #4 ), references = 4, size of lhs = 4:
% 219.26/219.41 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)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #800: mergings( V3 == V8, V5 == V10, V4 == V9, V6 == V11; #794 ), references = 2, size of lhs = 4:
% 219.26/219.41 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V3,V2), P_addition-{F}(V1,V4,V3), pppp3-{F}(V1,V4,V0,V5,V6) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #804: mergings( V3 == V6; #801 ), references = 1, size of lhs = 2:
% 219.26/219.41 P_addition-{F}(V0,V1,V0), pppp3-{F}(V0,V1,V2,V3,V4) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #815: mergings( V3 == V5, V4 == V6; #812 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V6,V5), P_addition-{F}(V6,V3,V7), P_addition-{F}(V3,V8,V7), pppp3-{F}(V3,V8,V4,V9,V10) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #821: mergings( V3 == V5, V4 == V6; #818 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V3), P_addition-{F}(V5,V4,V6), P_multiplication-{F}(V7,V2,V8), P_multiplication-{F}(V7,V5,V8), pppp3-{F}(V3,V6,V7,V9,V10) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #840: mergings( V3 == V5, V4 == V6; #835 ), references = 1, size of lhs = 14:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V3,V3), P_multiplication-{F}(V3,V4,V0), P_addition-{F}(V3,V5,V6), P_multiplication-{F}(V5,V7,V8), P_multiplication-{F}(V6,V7,V9), P_addition-{F}(V8,V10,V11), P_addition-{F}(V9,V10,V11), P_addition-{F}(V7,V12,V11), pppp3-{F}(V7,V12,V3,V2,V13), P_addition-{F}(V13,V14,V14), P_multiplication-{F}(V11,V14,V4) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #843: mergings( V3 == V5, V4 == V6; #836 ), references = 1, size of lhs = 16:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V3,V3), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V3,V5,V0), P_addition-{F}(V4,V6,V7), P_addition-{F}(V7,V8,V9), pppp3-{F}(V8,V6,V3,V2,V10), P_addition-{F}(V10,V11,V11), P_multiplication-{F}(V9,V11,V5), P_addition-{F}(V3,V12,V13), P_multiplication-{F}(V13,V8,V14), P_multiplication-{F}(V12,V8,V15), P_addition-{F}(V15,V16,V9), P_addition-{F}(V14,V16,V9) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #845: mergings( V3 == V4; #837 ), references = 1, size of lhs = 10:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V0,V2), P_multiplication-{F}(V3,V4,V0), P_multiplication-{F}(V3,V5,V6), pppp3-{F}(V5,V7,V3,V2,V8), P_addition-{F}(V8,V9,V9), P_multiplication-{F}(V6,V8,V10), P_addition-{F}(V5,V7,V11), P_multiplication-{F}(V11,V9,V4) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #954: mergings( V3 == V4, V8 == V13, V11 == V15, V9 == V14, V10 == V16; #947 ), references = 1, size of lhs = 8:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V6,V7,V4), P_multiplication-{F}(V6,V8,V5), P_addition-{F}(V7,V9,V8), pppp3-{F}(V7,V9,V6,V10,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #961: mergings( V3 == V4, V4 == V6, V5 == V7, V8 == V17, V10 == V19, V12 == V18; #948 ), references = 1, size of lhs = 12:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V8), P_addition-{F}(V6,V4,V11), P_multiplication-{F}(V2,V11,V8), P_multiplication-{F}(V10,V12,V0), pppp3-{F}(V6,V4,V2,V13,V12) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #973: mergings( V3 == V5, V5 == V6, V4 == V7, V14 == V17, V13 == V16; #966 ), references = 1, size of lhs = 9:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V4,V9,V8), P_addition-{F}(V9,V10,V7), pppp3-{F}(V9,V10,V4,V11,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #981: mergings( V3 == V5, V5 == V6, V6 == V8, V4 == V7, V7 == V9, V11 == V21, V13 == V20; #967 ), references = 1, size of lhs = 12:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V3,V4,V5), P_addition-{F}(V5,V6,V7), P_addition-{F}(V6,V4,V7), P_multiplication-{F}(V2,V6,V8), P_multiplication-{F}(V2,V9,V8), P_addition-{F}(V10,V9,V7), P_multiplication-{F}(V2,V10,V11), P_multiplication-{F}(V11,V12,V0), pppp3-{F}(V6,V4,V2,V13,V12) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #988: mergings( V3 == V5, V5 == V6, V4 == V7, V12 == V14; #982 ), references = 1, size of lhs = 7:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V2), P_addition-{F}(V5,V6,V7), P_addition-{F}(V6,V8,V7), pppp3-{F}(V6,V8,V4,V9,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #996: mergings( V3 == V5, V5 == V6, V4 == V7; #991 ), references = 1, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V2), pppp3-{F}(V6,V5,V4,V7,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1004: mergings( V7 == V9, V9 == V10, V12 == V4, V10 == V5, V8 == V11; #997 ), references = 2, size of lhs = 5:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V4,V5,V2), pppp4-{F}(V5,V4,V6,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1031: mergings( V3 == V4; #1029 ), references = 1, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), pppp4-{F}(V3,V2,V0,V5) | P_multiplication-{T}(V4,V5,V0)
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1037: mergings( V3 == V5, V4 == V6, V5 == V8; #1033 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp4-{F}(V2,V3,V0,V4) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1041: mergings( V4 == V1, V5 == V6; #1038 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1), pppp5-{F}(V2,V0,V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1045: mergings( V4 == V1, V5 == V6; #1042 ), references = 2, size of lhs = 4:
% 219.26/219.41 P_zero-{F}(V0), pppp6-{F}(V1,V0), P_c-{F}(V1,V2), P_one-{F}(V3) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1047: exists( #42, #1045 ), references = 1, size of lhs = 3:
% 219.26/219.41 P_zero-{F}(V0), pppp6-{F}(V1,V0), P_one-{F}(V2) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1050: mergings( V1 == V3; #1048 ), references = 1, size of lhs = 2:
% 219.26/219.41 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1052: exists( #41, #1048 ), references = 1, size of lhs = 1:
% 219.26/219.41 P_zero-{F}(V0) | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 #1054: exists( #39, #1051 ), references = 1, size of lhs = 0:
% 219.26/219.41 FALSE | FALSE
% 219.26/219.41 (used 0 times, uses = {})
% 219.26/219.41
% 219.26/219.41 number of learnt formulas = 90
% 219.26/219.41
% 219.26/219.41
% 219.26/219.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 219.26/219.41
% 219.26/219.41 randbase = 1
%------------------------------------------------------------------------------