%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE011+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:06:55 EDT 2022
% Result : Theorem 57.07s 57.25s
% Output : Refutation 57.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE011+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 16:49:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 57.07/57.25 GeoParameters:
% 57.07/57.25
% 57.07/57.25 tptp_input = 1
% 57.07/57.25 tptp_output = 0
% 57.07/57.25 nonempty = 1
% 57.07/57.25 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.07/57.25 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 57.07/57.25
% 57.07/57.25
% 57.07/57.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.07/57.25 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.07/57.25
% 57.07/57.25 RuleSystem INPUT:
% 57.07/57.25
% 57.07/57.25 Initial Rules:
% 57.07/57.25 #0: input, references = 4, size of lhs = 3:
% 57.07/57.25 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #1: input, references = 5, size of lhs = 5:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #2: input, references = 4, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #3: input, references = 4, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #4: input, references = 3, size of lhs = 6:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #5: input, references = 4, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #6: input, references = 4, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #7: input, references = 5, size of lhs = 8:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #8: input, references = 8, size of lhs = 8:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #9: input, references = 4, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #10: input, references = 4, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #11: input, references = 3, size of lhs = 5:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #12: input, references = 4, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #13: input, references = 6, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #14: input, references = 8, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #15: input, references = 5, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #16: input, references = 8, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #17: input, references = 8, size of lhs = 1:
% 57.07/57.25 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #18: input, references = 21, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #19: input, references = 5, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #20: input, references = 6, size of lhs = 7:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #21: input, references = 6, size of lhs = 7:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #22: input, references = 9, size of lhs = 7:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #23: input, references = 5, size of lhs = 5:
% 57.07/57.25 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)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #24: input, references = 19, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #25: input, references = 6, size of lhs = 6:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #26: input, references = 14, size of lhs = 4:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #27: input, references = 6, size of lhs = 10:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #28: input, references = 5, size of lhs = 10:
% 57.07/57.25 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
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #29: input, references = 4, size of lhs = 2:
% 57.07/57.25 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #30: input, references = 5, size of lhs = 3:
% 57.07/57.25 pppp4-{F}(V0,V1), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | EXISTS V4: pppp3-{T}(V4,V0,V1,V2,V3)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #31: input, references = 5, size of lhs = 3:
% 57.07/57.25 pppp4-{F}(V0,V1), P_c-{F}(V0,V2), P_addition-{F}(V0,V2,V3) | test-{T}(V0)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #32: input, references = 7, size of lhs = 10:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V4,V0,V5), P_c-{F}(V0,V6), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V1,V8), P_addition-{F}(V5,V8,V9), P_multiplication-{F}(V6,V3,V10), P_addition-{F}(V9,V10,V11), leq-{F}(V2,V11), leq-{F}(V11,V2) | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #33: input, references = 9, size of lhs = 8:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), P_multiplication-{F}(V4,V0,V5), P_c-{F}(V0,V6), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V1,V8), P_addition-{F}(V5,V8,V9), P_multiplication-{F}(V6,V3,V10), P_addition-{F}(V9,V10,V11) | test-{T}(V0)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #34: input, references = 12, size of lhs = 2:
% 57.07/57.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #35: input, references = 4, size of lhs = 0:
% 57.07/57.25 FALSE | EXISTS V0: P_zero-{T}(V0)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #36: input, references = 18, size of lhs = 2:
% 57.07/57.25 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #37: input, references = 4, size of lhs = 0:
% 57.07/57.25 FALSE | EXISTS V0: P_one-{T}(V0)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #38: input, references = 11, size of lhs = 1:
% 57.07/57.25 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 number of initial rules = 39
% 57.07/57.25
% 57.07/57.25 Simplifiers:
% 57.07/57.25 #39: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #40: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #41: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #42: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #43: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #44: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #45: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #46: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V2,V8,V9), V1 == V6 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #47: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #48: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V8,V9), V3 == V8 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #49: unsound, references = 3, size of lhs = 3:
% 57.07/57.25 pppp3-{F}(V0,V1,V2,V3,V4), pppp3-{F}(V5,V1,V7,V3,V9), V4 == V9 | FALSE
% 57.07/57.25 (used 0 times, uses = {})
% 57.07/57.25
% 57.07/57.25 #50: unsound, references = 3, size of lhs = 3:
% 57.07/57.26 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #51: unsound, references = 3, size of lhs = 3:
% 57.07/57.26 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 number of simplifiers = 13
% 57.07/57.26
% 57.07/57.26 Learnt:
% 57.07/57.26 #53: exists( #34, #3 ), references = 4, size of lhs = 2:
% 57.07/57.26 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #56: exists( #36, #5 ), references = 15, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #57: exists( #36, #6 ), references = 15, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #60: exists( #36, #9 ), references = 7, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #61: exists( #36, #10 ), references = 6, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #63: exists( #34, #2 ), references = 15, size of lhs = 2:
% 57.07/57.26 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #69: exists( #36, #22 ), references = 1, size of lhs = 5:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #71: mergings( V4 == V3; #66 ), references = 1, size of lhs = 4:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #77: exists( #34, #0 ), references = 30, size of lhs = 1:
% 57.07/57.26 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #81: exists( #38, #25 ), references = 5, size of lhs = 4:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #89: exists( #34, #85 ), references = 5, size of lhs = 6:
% 57.07/57.26 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
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #91: mergings( V5 == V3; #88 ), references = 1, size of lhs = 6:
% 57.07/57.26 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
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #99: exists( #38, #28 ), references = 5, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #104: exists( #38, #27 ), references = 2, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #121: exists( #34, #28 ), references = 3, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #125: exists( #36, #27 ), references = 2, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #147: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #139 ), references = 1, size of lhs = 3:
% 57.07/57.26 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #171: exists( #34, #1 ), references = 5, size of lhs = 3:
% 57.07/57.26 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #186: exists( #36, #89 ), references = 1, size of lhs = 4:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #191: mergings( V3 == V5, V4 == V6; #188 ), references = 5, size of lhs = 5:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #196: mergings( V3 == V5, V4 == V6; #193 ), references = 7, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_addition-{T}(V3,V2,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #203: exists( #36, #27 ), references = 1, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #210: mergings( V2 == V4, V3 == V5; #207 ), references = 1, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V2,V3) | P_c-{T}(V2,V0), P_c-{T}(V2,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #216: mergings( V3 == V4; #213 ), references = 3, size of lhs = 5:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #218: mergings( V3 == V4; #214 ), references = 3, size of lhs = 5:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #226: exists( #34, #7 ), references = 7, size of lhs = 6:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #227: exists( #34, #8 ), references = 5, size of lhs = 6:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #270: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17; #256 ), references = 1, size of lhs = 8:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #284: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #257 ), references = 1, size of lhs = 13:
% 57.07/57.26 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}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #298: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #258 ), references = 1, size of lhs = 13:
% 57.07/57.26 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}(V0,V6,V7), P_multiplication-{F}(V2,V7,V8), P_multiplication-{F}(V2,V6,V9), P_addition-{F}(V9,V10,V4), P_addition-{F}(V8,V10,V11) | P_multiplication-{T}(V2,V0,V5)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #321: mergings( V0 == V2, V2 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V1 == V3, V3 == V7, V7 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #301 ), references = 1, size of lhs = 13:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), P_zero-{F}(V2), P_one-{F}(V3), V3 == V2, P_addition-{F}(V1,V4,V3), V4 == V2, complement-{F}(V5,V4), P_addition-{F}(V0,V6,V7), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V6,V5,V9), P_addition-{F}(V2,V9,V10), V8 == V10 | P_c-{T}(V5,V2)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #325: exists( #36, #89 ), references = 1, size of lhs = 5:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #328: mergings( V6 == V4, V5 == V3; #323 ), references = 1, size of lhs = 5:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V2,V3,V1) | P_multiplication-{T}(V3,V2,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #330: exists( #36, #324 ), references = 4, size of lhs = 3:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #351: 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; #337 ), references = 4, size of lhs = 7:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #382: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #373 ), references = 1, size of lhs = 8:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V1,V2), leq-{F}(V2,V1), P_multiplication-{F}(V1,V3,V4), pppp3-{F}(V5,V3,V2,V1,V6), P_multiplication-{F}(V6,V5,V7), P_addition-{F}(V7,V4,V5) | P_c-{T}(V5,V0)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #419: mergings( V5 == V7, V7 == V0, V0 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V3 == V6, V6 == V2, V2 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #400 ), references = 1, size of lhs = 9:
% 57.07/57.26 P_zero-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V0,V1,V0), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1), pppp4-{F}(V0,V2), leq-{F}(V1,V2), leq-{F}(V2,V1) | pppp3-{T}(V1,V0,V2,V1,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #438: mergings( V5 == V8, V8 == V0, V0 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V3 == V6, V6 == V7, V7 == V2, V2 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #401 ), references = 1, size of lhs = 9:
% 57.07/57.26 P_zero-{F}(V0), P_c-{F}(V0,V1), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V0,V1,V0), P_multiplication-{F}(V1,V0,V0), P_one-{F}(V1), pppp4-{F}(V0,V2), leq-{F}(V1,V2), leq-{F}(V2,V1) | pppp3-{T}(V1,V0,V2,V1,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #485: exists( #36, #8 ), references = 3, size of lhs = 6:
% 57.07/57.26 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)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #509: mergings( V3 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22; #496 ), references = 2, size of lhs = 26:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_c-{F}(V2,V3), P_addition-{F}(V3,V1,V4), test-{F}(V5), P_c-{F}(V5,V0), test-{F}(V6), P_c-{F}(V6,V2), P_addition-{F}(V6,V5,V7), P_zero-{F}(V8), V4 == V8, P_one-{F}(V9), test-{F}(V10), P_c-{F}(V10,V11), test-{F}(V12), P_addition-{F}(V12,V10,V7), P_c-{F}(V12,V13), P_c-{F}(V14,V13), P_addition-{F}(V14,V13,V15), leq-{F}(V9,V16), leq-{F}(V16,V9), P_multiplication-{F}(V15,V17,V18), pppp3-{F}(V14,V17,V16,V11,V19), P_multiplication-{F}(V19,V14,V20), P_addition-{F}(V20,V18,V4) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #526: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V20, V6 == V19; #511 ), references = 1, size of lhs = 17:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), test-{F}(V2), P_c-{F}(V2,V3), test-{F}(V3), P_c-{F}(V3,V2), P_zero-{F}(V4), P_one-{F}(V5), P_c-{F}(V6,V0), P_addition-{F}(V6,V0,V7), leq-{F}(V5,V8), leq-{F}(V8,V5), P_multiplication-{F}(V7,V9,V3), pppp3-{F}(V6,V9,V8,V2,V10), P_multiplication-{F}(V10,V6,V1) | P_addition-{T}(V3,V1,V4)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #575: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V23 == V37; #542 ), references = 1, size of lhs = 14:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_zero-{F}(V2), P_one-{F}(V3), leq-{F}(V3,V4), leq-{F}(V4,V3), P_multiplication-{F}(V3,V5,V1), P_addition-{F}(V2,V6,V7), V2 == V7, P_addition-{F}(V8,V6,V8), pppp3-{F}(V8,V5,V4,V0,V9), P_multiplication-{F}(V9,V8,V8) | P_c-{T}(V8,V2)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #636: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V25 == V27; #614 ), references = 1, size of lhs = 23:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), V5 == V1, P_multiplication-{F}(V3,V6,V7), P_addition-{F}(V8,V9,V1), P_multiplication-{F}(V10,V9,V0), P_multiplication-{F}(V11,V9,V0), P_multiplication-{F}(V12,V8,V0), P_multiplication-{F}(V13,V14,V10), P_multiplication-{F}(V13,V15,V11), P_addition-{F}(V14,V16,V15), P_multiplication-{F}(V17,V16,V12), P_addition-{F}(V13,V17,V18), P_multiplication-{F}(V18,V16,V4), P_addition-{F}(V13,V19,V20), P_multiplication-{F}(V20,V16,V21), P_multiplication-{F}(V19,V16,V22), P_addition-{F}(V21,V7,V23), P_multiplication-{F}(V24,V2,V22), pppp3-{F}(V2,V8,V25,V6,V24) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #657: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V25 == V27; #615 ), references = 1, size of lhs = 25:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_multiplication-{F}(V2,V3,V6), P_addition-{F}(V3,V2,V7), V7 == V1, P_multiplication-{F}(V3,V8,V9), P_addition-{F}(V10,V11,V1), P_multiplication-{F}(V12,V11,V0), P_multiplication-{F}(V13,V11,V0), P_multiplication-{F}(V14,V10,V0), P_multiplication-{F}(V15,V16,V12), P_multiplication-{F}(V15,V17,V13), P_addition-{F}(V16,V18,V17), P_multiplication-{F}(V19,V18,V14), P_addition-{F}(V15,V19,V20), P_multiplication-{F}(V20,V18,V4), P_addition-{F}(V15,V21,V22), P_multiplication-{F}(V22,V18,V23), P_multiplication-{F}(V21,V18,V24), P_addition-{F}(V23,V9,V25), P_multiplication-{F}(V26,V2,V24), pppp3-{F}(V2,V10,V27,V8,V26) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #691: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V13; #682 ), references = 1, size of lhs = 13:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), V5 == V1, P_multiplication-{F}(V4,V6,V7), P_multiplication-{F}(V8,V2,V7), P_addition-{F}(V9,V6,V10), P_multiplication-{F}(V4,V10,V11), P_multiplication-{F}(V3,V12,V13), pppp3-{F}(V2,V9,V14,V12,V8), P_addition-{F}(V11,V13,V15) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #699: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10, V12 == V13; #683 ), references = 1, size of lhs = 15:
% 57.07/57.26 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), P_addition-{F}(V2,V3,V4), P_multiplication-{F}(V3,V2,V5), P_multiplication-{F}(V2,V3,V6), P_addition-{F}(V3,V2,V7), V7 == V1, P_multiplication-{F}(V4,V8,V9), P_multiplication-{F}(V10,V2,V9), P_addition-{F}(V11,V8,V12), P_multiplication-{F}(V4,V12,V13), P_multiplication-{F}(V3,V14,V15), pppp3-{F}(V2,V11,V16,V14,V10), P_addition-{F}(V13,V15,V17) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #760: mergings( V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V7 == V3, V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V29 == V2; #714 ), references = 1, size of lhs = 14:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), leq-{F}(V3,V4), leq-{F}(V4,V3), P_zero-{F}(V5), P_multiplication-{F}(V5,V0,V5) | pppp3-{T}(V5,V2,V4,V0,V3), pppp3-{T}(V3,V2,V4,V0,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #807: mergings( V5 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V7 == V3, V3 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V31 == V2; #715 ), references = 1, size of lhs = 14:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), leq-{F}(V3,V4), leq-{F}(V4,V3), P_zero-{F}(V5), P_multiplication-{F}(V5,V0,V5) | pppp3-{T}(V5,V2,V4,V0,V3), pppp3-{T}(V3,V2,V4,V0,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #854: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V48, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V43, V43 == V45, V45 == V47, V47 == V49, V25 == V39; #808 ), references = 4, size of lhs = 23:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), leq-{F}(V3,V4), leq-{F}(V4,V3), P_zero-{F}(V5), P_multiplication-{F}(V5,V0,V5), P_multiplication-{F}(V3,V5,V6), P_c-{F}(V5,V7), P_addition-{F}(V5,V7,V8), P_multiplication-{F}(V8,V2,V9), P_addition-{F}(V6,V9,V10), P_multiplication-{F}(V7,V0,V11), P_addition-{F}(V10,V11,V12), leq-{F}(V4,V12), leq-{F}(V12,V4) | pppp3-{T}(V3,V2,V4,V0,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #901: mergings( V0 == V1, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V58, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V59, V25 == V39; #809 ), references = 1, size of lhs = 35:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V1), P_c-{F}(V1,V0), P_c-{F}(V2,V0), P_addition-{F}(V2,V0,V3), P_multiplication-{F}(V3,V2,V1), P_addition-{F}(V2,V3,V3), P_one-{F}(V3), pppp4-{F}(V2,V4), leq-{F}(V3,V4), leq-{F}(V4,V3), test-{F}(V5), P_c-{F}(V5,V6), test-{F}(V7), P_c-{F}(V7,V8), P_addition-{F}(V8,V6,V9), test-{F}(V10), P_c-{F}(V10,V5), test-{F}(V11), P_c-{F}(V11,V7), P_addition-{F}(V11,V10,V12), P_zero-{F}(V13), V9 == V13, P_multiplication-{F}(V13,V0,V13), test-{F}(V14), P_c-{F}(V14,V0), test-{F}(V15), P_addition-{F}(V15,V14,V12), P_c-{F}(V15,V16), P_c-{F}(V13,V16), P_addition-{F}(V13,V16,V17), P_multiplication-{F}(V17,V2,V18), P_multiplication-{F}(V3,V13,V19), P_addition-{F}(V19,V18,V9) | pppp3-{T}(V3,V2,V4,V0,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #988: mergings( V32 == V33, V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27; #962 ), references = 1, size of lhs = 22:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V2,V2), P_addition-{F}(V2,V1,V2), P_zero-{F}(V3), P_c-{F}(V2,V3), P_c-{F}(V3,V2), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V3,V2,V5), leq-{F}(V2,V6), leq-{F}(V6,V2), leq-{F}(V6,V7), leq-{F}(V7,V6), P_addition-{F}(V2,V3,V7), P_c-{F}(V8,V2), P_multiplication-{F}(V2,V9,V9), P_multiplication-{F}(V9,V0,V8), pppp4-{F}(V9,V6), P_multiplication-{F}(V7,V9,V9), P_multiplication-{F}(V5,V9,V10), P_addition-{F}(V4,V10,V9) | P_c-{T}(V9,V3)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #1014: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V38, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V39; #963 ), references = 1, size of lhs = 32:
% 57.07/57.26 test-{F}(V0), P_c-{F}(V0,V1), test-{F}(V2), P_multiplication-{F}(V2,V2,V2), P_addition-{F}(V2,V1,V2), P_one-{F}(V2), test-{F}(V3), P_c-{F}(V3,V4), test-{F}(V5), P_c-{F}(V5,V6), P_addition-{F}(V6,V4,V2), test-{F}(V7), P_c-{F}(V7,V3), test-{F}(V8), P_c-{F}(V8,V5), P_addition-{F}(V8,V7,V2), P_zero-{F}(V9), V2 == V9, P_c-{F}(V9,V2), P_multiplication-{F}(V2,V9,V10), P_addition-{F}(V9,V2,V11), leq-{F}(V2,V12), leq-{F}(V12,V2), P_c-{F}(V2,V13), P_addition-{F}(V2,V13,V14), P_c-{F}(V15,V2), P_multiplication-{F}(V2,V16,V16), P_multiplication-{F}(V16,V0,V15), pppp4-{F}(V16,V12), P_multiplication-{F}(V14,V16,V16), P_multiplication-{F}(V11,V16,V17), P_addition-{F}(V10,V17,V16) | P_c-{T}(V16,V9)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #1070: mergings( V19 == V32, V0 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V1 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V32, V32 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V38, V18 == V38; #1032 ), references = 1, size of lhs = 11:
% 57.07/57.26 test-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_multiplication-{F}(V1,V1,V1), P_addition-{F}(V1,V1,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V1,V0,V0), leq-{F}(V1,V1), P_addition-{F}(V1,V0,V1), P_one-{F}(V1) | pppp4-{T}(V1,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #1107: mergings( V19 == V32, V0 == V3, V3 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V1 == V4, V4 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V32, V32 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V38, V18 == V38; #1033 ), references = 1, size of lhs = 11:
% 57.07/57.26 test-{F}(V0), P_zero-{F}(V0), P_c-{F}(V0,V1), P_multiplication-{F}(V1,V1,V1), P_addition-{F}(V1,V1,V1), P_c-{F}(V1,V0), P_addition-{F}(V0,V1,V1), P_multiplication-{F}(V1,V0,V0), leq-{F}(V1,V1), P_addition-{F}(V1,V0,V1), P_one-{F}(V1) | pppp4-{T}(V1,V1)
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #1179: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30; #1148 ), references = 1, size of lhs = 1:
% 57.07/57.26 P_zero-{F}(V0) | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 #1181: exists( #35, #1148 ), references = 1, size of lhs = 0:
% 57.07/57.26 FALSE | FALSE
% 57.07/57.26 (used 0 times, uses = {})
% 57.07/57.26
% 57.07/57.26 number of learnt formulas = 56
% 57.07/57.26
% 57.07/57.26
% 57.07/57.26 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 57.07/57.26
% 57.07/57.26 randbase = 1
%------------------------------------------------------------------------------