TSTP Solution File: KLE070+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:07:03 EDT 2022
% Result : Theorem 3.86s 4.05s
% Output : Refutation 3.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 16:43:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.86/4.05 GeoParameters:
% 3.86/4.05
% 3.86/4.05 tptp_input = 1
% 3.86/4.05 tptp_output = 0
% 3.86/4.05 nonempty = 1
% 3.86/4.05 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/4.05 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.86/4.05
% 3.86/4.05
% 3.86/4.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/4.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/4.05
% 3.86/4.05 RuleSystem INPUT:
% 3.86/4.05
% 3.86/4.05 Initial Rules:
% 3.86/4.05 #0: input, references = 5, size of lhs = 3:
% 3.86/4.05 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #1: input, references = 4, size of lhs = 5:
% 3.86/4.05 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
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #2: input, references = 3, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #3: input, references = 4, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #4: input, references = 4, size of lhs = 6:
% 3.86/4.05 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
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #5: input, references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #6: input, references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #7: input, references = 5, size of lhs = 8:
% 3.86/4.05 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
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #8: input, references = 5, size of lhs = 8:
% 3.86/4.05 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
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #9: input, references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #10: input, references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #11: input, references = 3, size of lhs = 5:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #12: input, references = 3, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #13: input, references = 6, size of lhs = 6:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #14: input, references = 5, size of lhs = 8:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_domain-{F}(V4,V5), P_domain-{F}(V3,V6), P_multiplication-{F}(V2,V6,V7), P_domain-{F}(V7,V8), V5 == V8 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #15: input, references = 4, size of lhs = 5:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_addition-{F}(V3,V1,V4), V4 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #16: input, references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), V2 == V0 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #17: input, references = 5, size of lhs = 9:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_addition-{F}(V3,V4,V5), P_domain-{F}(V5,V6), P_domain-{F}(V3,V7), P_domain-{F}(V4,V8), P_addition-{F}(V7,V8,V9), V6 == V9 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #18: input, references = 4, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2) | EXISTS V3: pppp1-{T}(V3)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #19: input, references = 5, size of lhs = 1:
% 3.86/4.05 pppp1-{F}(V0) | EXISTS V1: pppp0-{T}(V0,V1)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #20: input, references = 9, size of lhs = 5:
% 3.86/4.05 pppp0-{F}(V0,V1), P_domain-{F}(V0,V2), P_domain-{F}(V1,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V2,V4,V2) | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #21: input, references = 9, size of lhs = 2:
% 3.86/4.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #22: input, references = 4, size of lhs = 0:
% 3.86/4.05 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #23: input, references = 11, size of lhs = 2:
% 3.86/4.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #24: input, references = 4, size of lhs = 0:
% 3.86/4.05 FALSE | EXISTS V0: P_one-{T}(V0)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #25: input, references = 15, size of lhs = 1:
% 3.86/4.05 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 number of initial rules = 26
% 3.86/4.05
% 3.86/4.05 Simplifiers:
% 3.86/4.05 #26: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #27: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #28: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #29: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #30: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #31: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #32: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #33: unsound, references = 3, size of lhs = 3:
% 3.86/4.05 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 number of simplifiers = 8
% 3.86/4.05
% 3.86/4.05 Learnt:
% 3.86/4.05 #35: exists( #21, #3 ), references = 4, size of lhs = 2:
% 3.86/4.05 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #38: exists( #23, #5 ), references = 4, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #39: exists( #23, #6 ), references = 5, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #41: exists( #21, #13 ), references = 4, size of lhs = 4:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V2,V4,V4)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #44: exists( #25, #16 ), references = 1, size of lhs = 2:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V0,V0)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #49: exists( #21, #15 ), references = 6, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3) | P_addition-{T}(V3,V1,V1)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #50: exists( #21, #0 ), references = 7, size of lhs = 1:
% 3.86/4.05 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #58: mergings( V2 == V3, V3 == V4, V0 == V5; #54 ), references = 1, size of lhs = 2:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1) | P_domain-{T}(V1,V1)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #60: exists( #23, #10 ), references = 3, size of lhs = 3:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #63: exists( #25, #61 ), references = 1, size of lhs = 5:
% 3.86/4.05 P_zero-{F}(V0), P_addition-{F}(V0,V0,V0), P_one-{F}(V1), P_domain-{F}(V2,V0), pppp0-{F}(V2,V3) | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #65: exists( #19, #62 ), references = 1, size of lhs = 5:
% 3.86/4.05 pppp1-{F}(V0), P_zero-{F}(V1), P_addition-{F}(V1,V1,V1), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #67: exists( #21, #8 ), references = 5, size of lhs = 6:
% 3.86/4.05 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)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #78: mergings( V3 == V5, V4 == V6; #73 ), references = 3, size of lhs = 6:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V3), P_domain-{F}(V3,V4), P_addition-{F}(V2,V4,V5), P_multiplication-{F}(V5,V3,V6) | P_multiplication-{T}(V4,V3,V6)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #81: mergings( V3 == V5, V4 == V6; #74 ), references = 1, size of lhs = 6:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V3,V4,V2), P_addition-{F}(V4,V2,V5), P_multiplication-{F}(V3,V5,V6) | P_multiplication-{T}(V3,V2,V6)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #85: mergings( V3 == V4, V4 == V6, V5 == V7; #75 ), references = 1, size of lhs = 6:
% 3.86/4.05 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V2), P_addition-{F}(V5,V3,V4), P_multiplication-{F}(V5,V2,V6) | P_multiplication-{T}(V3,V2,V2)
% 3.86/4.05 (used 0 times, uses = {})
% 3.86/4.05
% 3.86/4.05 #91: exists( #23, #9 ), references = 1, size of lhs = 3:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #96: mergings( V2 == V3; #94 ), references = 1, size of lhs = 4:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V3,V2) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #99: exists( #25, #14 ), references = 3, size of lhs = 6:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_domain-{F}(V5,V6), P_multiplication-{F}(V4,V3,V7) | P_domain-{T}(V7,V6)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #113: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #106 ), references = 1, size of lhs = 4:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V2), P_multiplication-{F}(V1,V2,V2) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #115: exists( #25, #17 ), references = 1, size of lhs = 7:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V5,V7), P_addition-{F}(V4,V7,V8) | P_domain-{T}(V6,V8)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #119: exists( #25, #14 ), references = 1, size of lhs = 6:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_multiplication-{F}(V4,V2,V5), P_multiplication-{F}(V4,V3,V6), P_domain-{F}(V6,V7) | P_domain-{T}(V5,V7)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #127: mergings( V2 == V3; #125 ), references = 1, size of lhs = 4:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V1), pppp0-{F}(V2,V3) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #139: mergings( V3 == V5, V4 == V6; #136 ), references = 2, size of lhs = 7:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3), P_addition-{F}(V4,V3,V5), P_multiplication-{F}(V5,V6,V7), P_multiplication-{F}(V4,V6,V8), P_multiplication-{F}(V2,V6,V8) | P_multiplication-{T}(V3,V6,V7)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #141: exists( #23, #4 ), references = 3, size of lhs = 4:
% 3.86/4.06 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)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #143: exists( #21, #7 ), references = 2, size of lhs = 6:
% 3.86/4.06 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)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #154: exists( #21, #17 ), references = 1, size of lhs = 7:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V0,V2), P_domain-{F}(V3,V4), P_addition-{F}(V3,V5,V6), P_domain-{F}(V6,V7), P_domain-{F}(V5,V8) | P_addition-{T}(V4,V8,V7)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #173: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V13; #163 ), references = 1, size of lhs = 10:
% 3.86/4.06 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2), P_multiplication-{F}(V2,V3,V3), pppp0-{F}(V4,V3), P_domain-{F}(V4,V5), P_addition-{F}(V2,V5,V2), P_domain-{F}(V6,V5), P_addition-{F}(V6,V3,V7), P_domain-{F}(V7,V5) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #193: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V4 == V6, V6 == V9, V9 == V12, V12 == V14; #182 ), references = 1, size of lhs = 10:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V1), P_domain-{F}(V2,V0), P_domain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V7,V5,V8), P_multiplication-{F}(V9,V3,V10), P_multiplication-{F}(V11,V9,V8), P_multiplication-{F}(V11,V10,V2) | P_multiplication-{T}(V7,V6,V0)
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #198: exists( #23, #196 ), references = 1, size of lhs = 8:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3), P_domain-{F}(V2,V4), P_domain-{F}(V3,V5), P_multiplication-{F}(V4,V6,V4), P_addition-{F}(V6,V5,V7), P_multiplication-{F}(V4,V7,V4) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #204: mergings( V2 == V4, V3 == V5; #201 ), references = 1, size of lhs = 5:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V2), P_domain-{F}(V3,V2), pppp0-{F}(V3,V4) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #210: mergings( V2 == V3, V3 == V5, V4 == V6; #206 ), references = 1, size of lhs = 3:
% 3.86/4.06 P_zero-{F}(V0), P_one-{F}(V1), pppp0-{F}(V2,V3) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #215: mergings( V2 == V3, V3 == V5, V4 == V6; #211 ), references = 1, size of lhs = 3:
% 3.86/4.06 pppp1-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #222: mergings( V0 == V4, V4 == V5, V5 == V7, V1 == V6, V6 == V8; #216 ), references = 1, size of lhs = 3:
% 3.86/4.06 P_zero-{F}(V0), P_domain-{F}(V0,V1), P_one-{F}(V2) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #228: mergings( V1 == V2, V2 == V3, V3 == V4; #224 ), references = 1, size of lhs = 1:
% 3.86/4.06 P_zero-{F}(V0) | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 #230: exists( #22, #224 ), references = 1, size of lhs = 0:
% 3.86/4.06 FALSE | FALSE
% 3.86/4.06 (used 0 times, uses = {})
% 3.86/4.06
% 3.86/4.06 number of learnt formulas = 35
% 3.86/4.06
% 3.86/4.06
% 3.86/4.06 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.86/4.06
% 3.86/4.06 randbase = 1
%------------------------------------------------------------------------------