TSTP Solution File: KLE002+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:06:53 EDT 2022
% Result : Theorem 0.69s 0.88s
% Output : Refutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 16:46:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.69/0.88 GeoParameters:
% 0.69/0.88
% 0.69/0.88 tptp_input = 1
% 0.69/0.88 tptp_output = 0
% 0.69/0.88 nonempty = 1
% 0.69/0.88 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.69/0.88
% 0.69/0.88
% 0.69/0.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88
% 0.69/0.88 RuleSystem INPUT:
% 0.69/0.88
% 0.69/0.88 Initial Rules:
% 0.69/0.88 #0: input, references = 4, size of lhs = 3:
% 0.69/0.88 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #1: input, references = 4, size of lhs = 5:
% 0.69/0.88 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
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #2: input, references = 4, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #3: input, references = 4, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #4: input, references = 3, size of lhs = 6:
% 0.69/0.88 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
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #5: input, references = 4, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #6: input, references = 4, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #7: input, references = 3, size of lhs = 8:
% 0.69/0.88 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
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #8: input, references = 4, size of lhs = 8:
% 0.69/0.88 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
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #9: input, references = 4, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #10: input, references = 4, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #11: input, references = 4, size of lhs = 5:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #12: input, references = 5, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #13: input, references = 4, size of lhs = 2:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp2-{T}(V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #14: input, references = 6, size of lhs = 1:
% 0.69/0.88 pppp2-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #15: input, references = 7, size of lhs = 1:
% 0.69/0.88 pppp1-{F}(V0,V1) | EXISTS V2: pppp0-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #16: input, references = 5, size of lhs = 1:
% 0.69/0.88 pppp1-{F}(V0,V1) | leq-{T}(V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #17: input, references = 5, size of lhs = 4:
% 0.69/0.88 pppp0-{F}(V0,V1,V2), P_multiplication-{F}(V0,V2,V3), P_multiplication-{F}(V1,V2,V4), leq-{F}(V3,V4) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #18: input, references = 9, size of lhs = 2:
% 0.69/0.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #19: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #20: input, references = 9, size of lhs = 2:
% 0.69/0.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #21: input, references = 4, size of lhs = 0:
% 0.69/0.88 FALSE | EXISTS V0: P_one-{T}(V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of initial rules = 22
% 0.69/0.88
% 0.69/0.88 Simplifiers:
% 0.69/0.88 #22: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #23: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #24: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #25: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #26: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #27: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #28: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp0-{F}(V0,V1,V2), pppp0-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #29: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #30: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp1-{F}(V0,V1), pppp1-{F}(V2,V3), V0 == V2 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #31: unsound, references = 3, size of lhs = 3:
% 0.69/0.88 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of simplifiers = 10
% 0.69/0.88
% 0.69/0.88 Learnt:
% 0.69/0.88 #33: exists( #18, #3 ), references = 2, size of lhs = 2:
% 0.69/0.88 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #35: exists( #18, #0 ), references = 4, size of lhs = 1:
% 0.69/0.88 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #37: exists( #20, #5 ), references = 1, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #41: exists( #20, #10 ), references = 2, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #43: exists( #18, #2 ), references = 2, size of lhs = 2:
% 0.69/0.88 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #47: exists( #20, #6 ), references = 3, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #51: exists( #18, #1 ), references = 1, size of lhs = 3:
% 0.69/0.88 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #53: exists( #20, #9 ), references = 1, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #61: mergings( V2 == V3, V3 == V5, V4 == V0; #57 ), references = 1, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V1,V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #67: exists( #18, #11 ), references = 2, size of lhs = 3:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #69: exists( #18, #8 ), references = 2, size of lhs = 6:
% 0.69/0.88 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)
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #76: mergings( V3 == V5, V4 == V6; #73 ), references = 4, size of lhs = 6:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), pppp0-{F}(V4,V2,V5), P_multiplication-{F}(V3,V5,V6), P_multiplication-{F}(V4,V5,V6) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #81: mergings( V3 == V4, V0 == V5; #78 ), references = 1, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V1,V2), P_addition-{F}(V2,V1,V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #90: mergings( V2 == V4, V4 == V5, V0 == V3, V3 == V6; #85 ), references = 1, size of lhs = 3:
% 0.69/0.88 pppp2-{F}(V0), P_one-{F}(V0), P_zero-{F}(V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #95: mergings( V0 == V4, V3 == V5; #92 ), references = 2, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), pppp1-{F}(V0,V1), P_addition-{F}(V1,V0,V1), P_one-{F}(V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #98: exists( #14, #96 ), references = 1, size of lhs = 3:
% 0.69/0.88 pppp2-{F}(V0), P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #101: exists( #20, #76 ), references = 1, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V2), pppp0-{F}(V3,V2,V4) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #103: exists( #15, #100 ), references = 1, size of lhs = 4:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1), pppp1-{F}(V2,V3), P_addition-{F}(V3,V2,V3) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #110: mergings( V2 == V4, V3 == V5; #107 ), references = 1, size of lhs = 3:
% 0.69/0.88 pppp2-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #116: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #111 ), references = 1, size of lhs = 2:
% 0.69/0.88 P_zero-{F}(V0), P_one-{F}(V1) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #120: mergings( V1 == V2, V2 == V3; #117 ), references = 1, size of lhs = 1:
% 0.69/0.88 P_zero-{F}(V0) | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 #122: exists( #19, #117 ), references = 1, size of lhs = 0:
% 0.69/0.88 FALSE | FALSE
% 0.69/0.88 (used 0 times, uses = {})
% 0.69/0.88
% 0.69/0.88 number of learnt formulas = 22
% 0.69/0.88
% 0.69/0.88
% 0.69/0.88 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.88
% 0.69/0.88 randbase = 1
%------------------------------------------------------------------------------