TSTP Solution File: KLE092+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE092+1 : 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 06:07:06 EDT 2022
% Result : Theorem 142.94s 143.17s
% Output : Refutation 142.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % 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 16:55:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 142.94/143.17 GeoParameters:
% 142.94/143.17
% 142.94/143.17 tptp_input = 1
% 142.94/143.17 tptp_output = 0
% 142.94/143.17 nonempty = 1
% 142.94/143.17 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.94/143.17 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 142.94/143.17
% 142.94/143.17
% 142.94/143.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.94/143.17 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.94/143.17
% 142.94/143.17 RuleSystem INPUT:
% 142.94/143.17
% 142.94/143.17 Initial Rules:
% 142.94/143.17 #0: input, references = 4, size of lhs = 3:
% 142.94/143.17 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #1: input, references = 5, size of lhs = 5:
% 142.94/143.17 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
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #2: input, references = 5, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #3: input, references = 4, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #4: input, references = 5, size of lhs = 6:
% 142.94/143.17 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
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #5: input, references = 4, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #6: input, references = 4, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #7: input, references = 7, size of lhs = 8:
% 142.94/143.17 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
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #8: input, references = 9, size of lhs = 8:
% 142.94/143.17 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
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #9: input, references = 4, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #10: input, references = 4, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #11: input, references = 3, size of lhs = 5:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #12: input, references = 3, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #13: input, references = 6, size of lhs = 5:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), V4 == V0 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #14: input, references = 5, size of lhs = 10:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_antidomain-{F}(V4,V5), P_antidomain-{F}(V3,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V2,V7,V8), P_antidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #15: input, references = 5, size of lhs = 6:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #16: input, references = 5, size of lhs = 6:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V4,V5), V3 == V5 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #17: input, references = 5, size of lhs = 5:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), V4 == V0 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #18: input, references = 3, size of lhs = 10:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_coantidomain-{F}(V4,V5), P_coantidomain-{F}(V2,V6), P_coantidomain-{F}(V6,V7), P_multiplication-{F}(V7,V3,V8), P_coantidomain-{F}(V8,V9), P_addition-{F}(V5,V9,V10), V10 == V9 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #19: input, references = 4, size of lhs = 6:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4), P_addition-{F}(V4,V3,V5), V5 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #20: input, references = 5, size of lhs = 6:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4), P_coantidomain-{F}(V4,V5), V3 == V5 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #21: input, references = 4, size of lhs = 2:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #22: input, references = 4, size of lhs = 3:
% 142.94/143.17 pppp0-{F}(V0), P_coantidomain-{F}(V0,V1), P_domain-{F}(V1,V1) | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #23: input, references = 11, size of lhs = 2:
% 142.94/143.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #24: input, references = 4, size of lhs = 0:
% 142.94/143.17 FALSE | EXISTS V0: P_zero-{T}(V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #25: input, references = 15, size of lhs = 2:
% 142.94/143.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #26: input, references = 4, size of lhs = 0:
% 142.94/143.17 FALSE | EXISTS V0: P_one-{T}(V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #27: input, references = 9, size of lhs = 1:
% 142.94/143.17 #-{F} V0 | EXISTS V1: P_antidomain-{T}(V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #28: input, references = 8, size of lhs = 1:
% 142.94/143.17 #-{F} V0 | EXISTS V1: P_domain-{T}(V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #29: input, references = 6, size of lhs = 1:
% 142.94/143.17 #-{F} V0 | EXISTS V1: P_coantidomain-{T}(V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #30: input, references = 8, size of lhs = 1:
% 142.94/143.17 #-{F} V0 | EXISTS V1: P_codomain-{T}(V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 number of initial rules = 31
% 142.94/143.17
% 142.94/143.17 Simplifiers:
% 142.94/143.17 #31: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #32: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #33: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #34: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #35: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_antidomain-{F}(V0,V1), P_antidomain-{F}(V0,V3), V1 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #36: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_domain-{F}(V0,V1), P_domain-{F}(V0,V3), V1 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #37: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_coantidomain-{F}(V0,V1), P_coantidomain-{F}(V0,V3), V1 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #38: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 P_codomain-{F}(V0,V1), P_codomain-{F}(V0,V3), V1 == V3 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #39: unsound, references = 3, size of lhs = 3:
% 142.94/143.17 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 number of simplifiers = 9
% 142.94/143.17
% 142.94/143.17 Learnt:
% 142.94/143.17 #41: exists( #23, #19 ), references = 5, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #44: exists( #23, #3 ), references = 2, size of lhs = 2:
% 142.94/143.17 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #46: exists( #27, #16 ), references = 5, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4) | P_antidomain-{T}(V4,V3)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #48: exists( #29, #20 ), references = 6, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_codomain-{F}(V2,V3), P_coantidomain-{F}(V2,V4) | P_coantidomain-{T}(V4,V3)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #50: exists( #28, #16 ), references = 1, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_domain-{T}(V2,V4)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #52: exists( #23, #0 ), references = 3, size of lhs = 1:
% 142.94/143.17 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #54: exists( #25, #5 ), references = 7, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #57: exists( #30, #20 ), references = 1, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V3,V4) | P_codomain-{T}(V2,V4)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #66: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #61 ), references = 1, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1) | P_domain-{T}(V2,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #72: exists( #25, #9 ), references = 1, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #80: mergings( V2 == V4, V4 == V6, V3 == V5; #76 ), references = 1, size of lhs = 4:
% 142.94/143.17 P_one-{F}(V0), P_zero-{F}(V1), P_coantidomain-{F}(V2,V1), P_coantidomain-{F}(V3,V1) | P_codomain-{T}(V2,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #83: exists( #23, #2 ), references = 9, size of lhs = 2:
% 142.94/143.17 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #84: exists( #23, #7 ), references = 2, size of lhs = 6:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #90: exists( #25, #10 ), references = 1, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #95: mergings( V0 == V2; #93 ), references = 2, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0) | P_antidomain-{T}(V0,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #99: exists( #25, #13 ), references = 5, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3) | P_multiplication-{T}(V3,V2,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #108: mergings( V3 == V4; #106 ), references = 3, size of lhs = 5:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #110: exists( #23, #1 ), references = 2, size of lhs = 3:
% 142.94/143.17 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #115: mergings( V2 == V3, V0 == V4; #112 ), references = 1, size of lhs = 2:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1) | P_antidomain-{T}(V1,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #125: exists( #25, #6 ), references = 6, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #126: exists( #25, #4 ), references = 1, size of lhs = 4:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #134: mergings( V2 == V3, V0 == V4; #131 ), references = 1, size of lhs = 2:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1) | P_coantidomain-{T}(V1,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #142: exists( #25, #4 ), references = 1, size of lhs = 4:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #146: exists( #25, #17 ), references = 4, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3) | P_multiplication-{T}(V2,V3,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #161: mergings( V2 == V3; #159 ), references = 1, size of lhs = 7:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V0), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V4,V5), P_multiplication-{F}(V6,V5,V2), P_multiplication-{F}(V6,V3,V7) | P_antidomain-{T}(V7,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #167: exists( #25, #7 ), references = 1, size of lhs = 6:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #185: exists( #23, #14 ), references = 1, size of lhs = 8:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V5,V2,V6), P_antidomain-{F}(V6,V7), P_multiplication-{F}(V5,V4,V8), P_antidomain-{F}(V8,V9) | P_addition-{T}(V7,V9,V9)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #193: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #188 ), references = 2, size of lhs = 10:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4), P_multiplication-{F}(V5,V4,V6), P_multiplication-{F}(V5,V2,V7), P_antidomain-{F}(V7,V8), P_multiplication-{F}(V8,V6,V9), P_addition-{F}(V9,V0,V10), V0 == V10 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #207: exists( #25, #8 ), references = 1, size of lhs = 6:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #214: exists( #23, #8 ), references = 1, size of lhs = 6:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #227: exists( #23, #15 ), references = 2, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V3,V4) | P_addition-{T}(V4,V3,V1)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #235: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #230 ), references = 1, size of lhs = 10:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_domain-{F}(V2,V3), P_antidomain-{F}(V2,V4), P_antidomain-{F}(V5,V4), P_multiplication-{F}(V1,V6,V7), P_multiplication-{F}(V3,V6,V8), P_multiplication-{F}(V4,V6,V9), P_addition-{F}(V8,V9,V10), V7 == V10 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #255: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V16 == V17; #241 ), references = 2, size of lhs = 7:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V3), P_antidomain-{F}(V4,V3), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V3,V5,V0), P_multiplication-{F}(V1,V5,V6) | P_domain-{T}(V2,V6)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #283: mergings( V2 == V4, V3 == V5; #280 ), references = 1, size of lhs = 7:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_addition-{F}(V3,V5,V3), P_addition-{F}(V1,V5,V6), V1 == V6 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #298: mergings( V3 == V4; #296 ), references = 4, size of lhs = 5:
% 142.94/143.17 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)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #333: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #322 ), references = 1, size of lhs = 8:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_coantidomain-{F}(V2,V3), P_coantidomain-{F}(V4,V3), P_multiplication-{F}(V5,V3,V0), P_addition-{F}(V5,V3,V1), P_multiplication-{F}(V5,V1,V6), P_addition-{F}(V6,V0,V7) | P_codomain-{T}(V2,V7)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #358: mergings( V3 == V5, V4 == V6; #355 ), references = 2, size of lhs = 6:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_antidomain-{F}(V2,V1), P_antidomain-{F}(V3,V4), P_antidomain-{F}(V4,V5), P_multiplication-{F}(V6,V3,V2) | P_multiplication-{T}(V6,V5,V0)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #396: mergings( V2 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19; #378 ), references = 1, size of lhs = 15:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V3), P_antidomain-{F}(V4,V1), P_multiplication-{F}(V5,V2,V0), P_antidomain-{F}(V6,V5), P_antidomain-{F}(V7,V5), P_antidomain-{F}(V8,V5), P_multiplication-{F}(V9,V8,V4), P_addition-{F}(V9,V3,V10), P_multiplication-{F}(V9,V1,V11), P_multiplication-{F}(V10,V5,V12), P_addition-{F}(V0,V12,V13), V11 == V13 | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #421: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V2 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V22; #401 ), references = 1, size of lhs = 8:
% 142.94/143.17 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_multiplication-{F}(V1,V2,V3), P_addition-{F}(V4,V3,V1), P_multiplication-{F}(V4,V1,V5), P_multiplication-{F}(V4,V2,V6), P_antidomain-{F}(V6,V1) | P_antidomain-{T}(V2,V5)
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #472: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V22, V22 == V23, V23 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V34, V34 == V36, V36 == V38, V38 == V40, V4 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41; #433 ), references = 1, size of lhs = 11:
% 142.94/143.17 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1), pppp0-{F}(V2), P_coantidomain-{F}(V2,V3), P_addition-{F}(V3,V3,V3), P_multiplication-{F}(V1,V3,V3), P_coantidomain-{F}(V4,V3), P_coantidomain-{F}(V5,V3), P_multiplication-{F}(V3,V1,V6), P_addition-{F}(V6,V0,V3) | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #518: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V25, V25 == V26, V26 == V27, V27 == V30, V30 == V31, V31 == V33, V33 == V36, V36 == V38, V38 == V40, V40 == V42, V7 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V28, V28 == V29, V29 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43; #477 ), references = 1, size of lhs = 4:
% 142.94/143.17 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1), pppp0-{F}(V2) | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #562: mergings( V0 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V27, V27 == V28, V28 == V31, V31 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V41, V41 == V43, V1 == V8, V8 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V24, V24 == V25, V25 == V29, V29 == V30, V30 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44; #519 ), references = 1, size of lhs = 3:
% 142.94/143.17 P_zero-{F}(V0), P_antidomain-{F}(V0,V1), P_one-{F}(V1) | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #590: 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; #565 ), references = 1, size of lhs = 1:
% 142.94/143.17 P_zero-{F}(V0) | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 #592: exists( #24, #565 ), references = 1, size of lhs = 0:
% 142.94/143.17 FALSE | FALSE
% 142.94/143.17 (used 0 times, uses = {})
% 142.94/143.17
% 142.94/143.17 number of learnt formulas = 44
% 142.94/143.17
% 142.94/143.17
% 142.94/143.17 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 142.94/143.17
% 142.94/143.17 randbase = 1
%------------------------------------------------------------------------------