TSTP Solution File: KLE007+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE007+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:06:54 EDT 2022
% Result : Theorem 58.21s 58.41s
% Output : Refutation 58.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE007+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 16:58:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 58.21/58.41 GeoParameters:
% 58.21/58.41
% 58.21/58.41 tptp_input = 1
% 58.21/58.41 tptp_output = 0
% 58.21/58.41 nonempty = 1
% 58.21/58.41 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.21/58.41 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 58.21/58.41
% 58.21/58.41
% 58.21/58.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.21/58.41 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.21/58.41
% 58.21/58.41 RuleSystem INPUT:
% 58.21/58.41
% 58.21/58.41 Initial Rules:
% 58.21/58.41 #0: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #1: input, references = 5, size of lhs = 5:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #2: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #3: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #4: input, references = 5, size of lhs = 6:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #5: input, references = 4, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #6: input, references = 4, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #7: input, references = 6, size of lhs = 8:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #8: input, references = 7, size of lhs = 8:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #9: input, references = 4, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #10: input, references = 4, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #11: input, references = 3, size of lhs = 5:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #12: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #13: input, references = 3, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2) | pppp0-{T}(V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #14: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | test-{T}(V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #15: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2) | EXISTS V3: pppp2-{T}(V2,V3)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #16: input, references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp0-{T}(V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #17: input, references = 4, size of lhs = 1:
% 58.21/58.41 pppp2-{F}(V0,V1) | complement-{T}(V1,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #18: input, references = 14, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), complement-{F}(V3,V2) | pppp1-{T}(V2,V3)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #19: input, references = 5, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | complement-{T}(V3,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #20: input, references = 5, size of lhs = 7:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #21: input, references = 4, size of lhs = 7:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #22: input, references = 9, size of lhs = 7:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #23: input, references = 5, size of lhs = 5:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #24: input, references = 13, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V4), test-{F}(V2) | complement-{T}(V2,V4)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #25: input, references = 4, size of lhs = 6:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), test-{F}(V2), complement-{F}(V2,V4), V3 == V4 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #26: input, references = 6, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V2,V3), V3 == V0 | test-{T}(V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #27: input, references = 4, size of lhs = 2:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp4-{T}(V2,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #28: input, references = 6, size of lhs = 2:
% 58.21/58.41 pppp4-{F}(V0,V1), P_c-{F}(V0,V2) | EXISTS V3: pppp3-{T}(V3,V0,V1,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #29: input, references = 4, size of lhs = 2:
% 58.21/58.41 pppp4-{F}(V0,V1), P_c-{F}(V0,V2) | test-{T}(V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #30: input, references = 5, size of lhs = 8:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), P_c-{F}(V0,V4), P_addition-{F}(V0,V4,V5), P_multiplication-{F}(V5,V1,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8), leq-{F}(V2,V8), leq-{F}(V8,V2) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #31: input, references = 9, size of lhs = 6:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), P_c-{F}(V0,V4), P_addition-{F}(V0,V4,V5), P_multiplication-{F}(V5,V1,V6), P_multiplication-{F}(V5,V3,V7), P_addition-{F}(V6,V7,V8) | test-{T}(V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #32: input, references = 10, size of lhs = 2:
% 58.21/58.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #33: input, references = 4, size of lhs = 0:
% 58.21/58.41 FALSE | EXISTS V0: P_zero-{T}(V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #34: input, references = 16, size of lhs = 2:
% 58.21/58.41 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #35: input, references = 4, size of lhs = 0:
% 58.21/58.41 FALSE | EXISTS V0: P_one-{T}(V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #36: input, references = 8, size of lhs = 1:
% 58.21/58.41 #-{F} V0 | EXISTS V1: P_c-{T}(V0,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 number of initial rules = 37
% 58.21/58.41
% 58.21/58.41 Simplifiers:
% 58.21/58.41 #37: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #38: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #39: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #40: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #41: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 P_c-{F}(V0,V1), P_c-{F}(V0,V3), V1 == V3 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #42: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #43: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #44: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #45: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #46: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #47: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #48: unsound, references = 3, size of lhs = 3:
% 58.21/58.41 pppp4-{F}(V0,V1), pppp4-{F}(V2,V3), V1 == V3 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 number of simplifiers = 12
% 58.21/58.41
% 58.21/58.41 Learnt:
% 58.21/58.41 #50: exists( #32, #3 ), references = 4, size of lhs = 2:
% 58.21/58.41 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #53: exists( #34, #5 ), references = 11, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #54: exists( #34, #6 ), references = 6, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #57: exists( #34, #9 ), references = 7, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #58: exists( #34, #10 ), references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #60: exists( #32, #2 ), references = 15, size of lhs = 2:
% 58.21/58.41 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #66: exists( #34, #22 ), references = 1, size of lhs = 5:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V3), V3 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #68: mergings( V4 == V3; #63 ), references = 1, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V2), P_addition-{F}(V2,V2,V1) | P_multiplication-{T}(V2,V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #74: exists( #32, #0 ), references = 17, size of lhs = 1:
% 58.21/58.41 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #78: exists( #36, #25 ), references = 2, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), test-{F}(V2), complement-{F}(V2,V3) | P_c-{T}(V2,V3)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #88: exists( #32, #82 ), references = 3, size of lhs = 6:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #90: mergings( V5 == V3; #86 ), references = 2, size of lhs = 6:
% 58.21/58.41 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
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #93: mergings( V5 == V3, V6 == V3; #87 ), references = 4, size of lhs = 5:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V2,V3,V0), P_multiplication-{F}(V3,V2,V0) | P_addition-{T}(V3,V2,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #103: exists( #32, #1 ), references = 9, size of lhs = 3:
% 58.21/58.41 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #108: exists( #34, #7 ), references = 1, size of lhs = 6:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #118: exists( #34, #8 ), references = 5, size of lhs = 6:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #153: mergings( V0 == V4, V4 == V6, V6 == V7, V7 == V8, V1 == V2, V2 == V5, V5 == V9; #145 ), references = 1, size of lhs = 3:
% 58.21/58.41 pppp0-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | pppp2-{T}(V0,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #194: exists( #34, #88 ), references = 6, size of lhs = 4:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_multiplication-{T}(V2,V3,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #216: mergings( V3 == V5; #212 ), references = 4, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #219: mergings( V3 == V5, V4 == V6; #213 ), references = 4, size of lhs = 5:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V2,V3,V4), V4 == V1 | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #236: mergings( V2 == V4, V4 == V6, V6 == V11, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12; #226 ), references = 5, size of lhs = 8:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), P_multiplication-{F}(V1,V4,V5), P_addition-{F}(V3,V5,V6), leq-{F}(V6,V7), leq-{F}(V7,V6), pppp3-{F}(V8,V2,V7,V4) | P_c-{T}(V8,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #274: mergings( V4 == V0, V0 == V7, V7 == V9, V9 == V14, V14 == V16, V16 == V18, V18 == V20, V2 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #254 ), references = 1, size of lhs = 9:
% 58.21/58.41 P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), pppp4-{F}(V0,V2), P_multiplication-{F}(V1,V0,V3), P_multiplication-{F}(V1,V1,V4), P_addition-{F}(V3,V4,V5), leq-{F}(V5,V2), leq-{F}(V2,V5) | pppp3-{T}(V1,V0,V2,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #294: mergings( V4 == V0, V0 == V8, V8 == V10, V10 == V15, V15 == V17, V17 == V19, V19 == V21, V2 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22; #255 ), references = 1, size of lhs = 9:
% 58.21/58.41 P_zero-{F}(V0), P_c-{F}(V0,V1), P_one-{F}(V1), pppp4-{F}(V0,V2), P_multiplication-{F}(V1,V0,V3), P_multiplication-{F}(V1,V1,V4), P_addition-{F}(V3,V4,V5), leq-{F}(V5,V2), leq-{F}(V2,V5) | pppp3-{T}(V1,V0,V2,V1)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #338: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #327 ), references = 1, size of lhs = 3:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V2) | P_c-{T}(V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #383: mergings( V4 == V2, V2 == V7, V7 == V9, V9 == V11, V0 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12; #372 ), references = 1, size of lhs = 9:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V1,V0), pppp4-{F}(V1,V2), P_multiplication-{F}(V1,V1,V3), P_multiplication-{F}(V1,V0,V4), P_addition-{F}(V3,V4,V5), leq-{F}(V5,V2), leq-{F}(V2,V5) | pppp3-{T}(V1,V1,V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #394: mergings( V4 == V2, V2 == V8, V8 == V10, V10 == V12, V0 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13; #373 ), references = 1, size of lhs = 9:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_c-{F}(V1,V0), pppp4-{F}(V1,V2), P_multiplication-{F}(V1,V1,V3), P_multiplication-{F}(V1,V0,V4), P_addition-{F}(V3,V4,V5), leq-{F}(V5,V2), leq-{F}(V2,V5) | pppp3-{T}(V1,V1,V2,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #426: mergings( V3 == V4; #424 ), references = 3, size of lhs = 5:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #430: exists( #34, #4 ), references = 5, size of lhs = 4:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #488: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V18 == V20; #473 ), references = 2, size of lhs = 17:
% 58.21/58.41 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), pppp3-{F}(V2,V6,V8,V9), P_addition-{F}(V9,V10,V1), P_multiplication-{F}(V11,V10,V12), P_addition-{F}(V12,V13,V0), P_multiplication-{F}(V14,V10,V13), P_addition-{F}(V15,V14,V4), P_addition-{F}(V16,V11,V15), P_multiplication-{F}(V16,V9,V17), P_addition-{F}(V7,V17,V16), P_addition-{F}(V17,V14,V14) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #502: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V18 == V20; #474 ), references = 2, size of lhs = 19:
% 58.21/58.41 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), pppp3-{F}(V2,V8,V10,V11), P_addition-{F}(V11,V12,V1), P_multiplication-{F}(V13,V12,V14), P_addition-{F}(V14,V15,V0), P_multiplication-{F}(V16,V12,V15), P_addition-{F}(V17,V16,V4), P_addition-{F}(V18,V13,V17), P_multiplication-{F}(V18,V11,V19), P_addition-{F}(V9,V19,V18), P_addition-{F}(V19,V16,V16) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #558: mergings( V2 == V4, V4 == V6, V6 == V10, V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11; #549 ), references = 1, size of lhs = 5:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V2,V1,V4), V4 == V1 | P_c-{T}(V3,V0)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #593: mergings( V3 == V4; #591 ), references = 1, size of lhs = 5:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #599: exists( #34, #4 ), references = 1, size of lhs = 4:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #602: exists( #32, #7 ), references = 5, size of lhs = 6:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #603: exists( #32, #8 ), references = 1, size of lhs = 6:
% 58.21/58.41 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)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #629: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #621 ), references = 1, size of lhs = 20:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V0), P_c-{F}(V3,V4), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V3,V6), V6 == V1, P_multiplication-{F}(V5,V7,V8), P_addition-{F}(V8,V0,V9), P_multiplication-{F}(V9,V10,V0), pppp3-{F}(V3,V7,V11,V10), P_addition-{F}(V10,V12,V1), P_multiplication-{F}(V13,V12,V14), P_multiplication-{F}(V15,V14,V2), P_multiplication-{F}(V15,V16,V9), P_addition-{F}(V16,V13,V17), P_multiplication-{F}(V15,V17,V18), P_multiplication-{F}(V15,V19,V18), P_addition-{F}(V19,V13,V20), P_multiplication-{F}(V15,V20,V5) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #636: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V10; #622 ), references = 1, size of lhs = 22:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V0), P_c-{F}(V3,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V4,V3,V6), P_multiplication-{F}(V3,V4,V7), P_addition-{F}(V4,V3,V8), V8 == V1, P_multiplication-{F}(V5,V9,V10), P_addition-{F}(V10,V0,V11), P_multiplication-{F}(V11,V12,V0), pppp3-{F}(V3,V9,V13,V12), P_addition-{F}(V12,V14,V1), P_multiplication-{F}(V15,V14,V16), P_multiplication-{F}(V17,V16,V2), P_multiplication-{F}(V17,V18,V11), P_addition-{F}(V18,V15,V19), P_multiplication-{F}(V17,V19,V20), P_multiplication-{F}(V17,V21,V20), P_addition-{F}(V21,V15,V22), P_multiplication-{F}(V17,V22,V5) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #650: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #641 ), references = 1, size of lhs = 18:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V0), P_c-{F}(V3,V4), P_addition-{F}(V3,V4,V5), P_addition-{F}(V4,V3,V6), V6 == V1, P_multiplication-{F}(V5,V7,V0), P_multiplication-{F}(V5,V8,V2), P_multiplication-{F}(V5,V9,V5), P_multiplication-{F}(V10,V11,V8), P_addition-{F}(V12,V10,V9), P_multiplication-{F}(V5,V12,V13), P_addition-{F}(V14,V11,V1), P_multiplication-{F}(V15,V14,V7), pppp3-{F}(V3,V15,V16,V14), P_addition-{F}(V15,V10,V17), P_multiplication-{F}(V5,V17,V13) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #658: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #642 ), references = 1, size of lhs = 20:
% 58.21/58.41 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V2,V0), P_c-{F}(V3,V4), P_addition-{F}(V3,V4,V5), P_multiplication-{F}(V4,V3,V6), P_multiplication-{F}(V3,V4,V7), P_addition-{F}(V4,V3,V8), V8 == V1, P_multiplication-{F}(V5,V9,V0), P_multiplication-{F}(V5,V10,V2), P_multiplication-{F}(V5,V11,V5), P_multiplication-{F}(V12,V13,V10), P_addition-{F}(V14,V12,V11), P_multiplication-{F}(V5,V14,V15), P_addition-{F}(V16,V13,V1), P_multiplication-{F}(V17,V16,V9), pppp3-{F}(V3,V17,V18,V16), P_addition-{F}(V17,V12,V19), P_multiplication-{F}(V5,V19,V15) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #684: mergings( V4 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V5 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17; #670 ), references = 1, size of lhs = 15:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V1), pppp4-{F}(V4,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V1), P_multiplication-{F}(V4,V6,V0), P_multiplication-{F}(V1,V4,V7), P_multiplication-{F}(V1,V6,V8), P_addition-{F}(V7,V8,V9), leq-{F}(V9,V5), leq-{F}(V5,V9) | pppp3-{T}(V1,V4,V5,V6)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #697: mergings( V4 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V5 == V6, V6 == V7, V7 == V8, V8 == V13, V13 == V15, V15 == V17; #671 ), references = 1, size of lhs = 15:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_multiplication-{F}(V2,V3,V0), P_addition-{F}(V4,V2,V1), pppp4-{F}(V4,V5), P_c-{F}(V4,V6), P_addition-{F}(V6,V3,V1), P_multiplication-{F}(V4,V6,V0), P_multiplication-{F}(V1,V4,V7), P_multiplication-{F}(V1,V6,V8), P_addition-{F}(V7,V8,V9), leq-{F}(V9,V5), leq-{F}(V5,V9) | pppp3-{T}(V1,V4,V5,V6)
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #730: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V17, V17 == V19, V19 == V21, V23 == V24; #710 ), references = 1, size of lhs = 11:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_c-{F}(V1,V2), P_addition-{F}(V1,V2,V1), leq-{F}(V1,V3), leq-{F}(V3,V1), P_addition-{F}(V4,V4,V4), P_multiplication-{F}(V1,V4,V4), pppp4-{F}(V4,V3) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #756: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V1 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V20, V20 == V22, V22 == V24; #733 ), references = 1, size of lhs = 7:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), leq-{F}(V1,V1), P_c-{F}(V1,V2), P_addition-{F}(V1,V2,V1) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #794: 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; #770 ), references = 1, size of lhs = 2:
% 58.21/58.41 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0) | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 #797: exists( #33, #795 ), references = 1, size of lhs = 0:
% 58.21/58.41 FALSE | FALSE
% 58.21/58.41 (used 0 times, uses = {})
% 58.21/58.41
% 58.21/58.41 number of learnt formulas = 45
% 58.21/58.41
% 58.21/58.41
% 58.21/58.41 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 58.21/58.41
% 58.21/58.41 randbase = 1
%------------------------------------------------------------------------------