TSTP Solution File: KLE138+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:07:09 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 16:47:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 4, size of lhs = 3:
% 0.19/0.51 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 3, size of lhs = 5:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 4, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 4, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 3, size of lhs = 6:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 3, size of lhs = 8:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 3, size of lhs = 8:
% 0.19/0.51 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
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 4, size of lhs = 6:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V1,V4,V5), V5 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 4, size of lhs = 6:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4), P_addition-{F}(V1,V4,V5), V5 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 3, size of lhs = 7:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V3,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V3,V8), leq-{F}(V6,V4) | leq-{T}(V8,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 3, size of lhs = 7:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V4,V2,V5), P_addition-{F}(V5,V3,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V3,V7,V8), leq-{F}(V6,V4) | leq-{T}(V8,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 4, size of lhs = 6:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4), P_addition-{F}(V4,V1,V5), V3 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 3, size of lhs = 7:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V4,V5), P_addition-{F}(V5,V3,V6), P_strong_iteration-{F}(V2,V7), P_multiplication-{F}(V7,V3,V8), leq-{F}(V4,V6) | leq-{T}(V4,V8)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 3, size of lhs = 7:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V2,V3), P_star-{F}(V2,V4), P_multiplication-{F}(V3,V0,V5), P_addition-{F}(V4,V5,V6), V3 == V6 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 3, size of lhs = 5:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: input, references = 3, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: input, references = 4, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V0,V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: input, references = 6, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: input, references = 7, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_one-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #25: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_strong_iteration-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 26
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_strong_iteration-{F}(V0,V1), P_strong_iteration-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 6
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #33: exists( #20, #2 ), references = 4, size of lhs = 2:
% 0.19/0.51 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #35: exists( #20, #3 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #37: exists( #20, #0 ), references = 4, size of lhs = 1:
% 0.19/0.51 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #45: mergings( V3 == V4; #42 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_one-{F}(V0), P_zero-{F}(V0), P_star-{F}(V1,V2) | P_multiplication-{T}(V1,V2,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #47: mergings( V3 == V4; #43 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_one-{F}(V0), P_zero-{F}(V0), P_star-{F}(V1,V2) | P_multiplication-{T}(V2,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #49: exists( #22, #5 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #51: exists( #22, #6 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #56: exists( #22, #9 ), references = 2, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #61: mergings( V0 == V3, V2 == V4; #58 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V0,V1,V2) | P_strong_iteration-{T}(V0,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #67: mergings( V1 == V2; #65 ), references = 1, size of lhs = 1:
% 0.19/0.51 P_zero-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #69: exists( #21, #65 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 11
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------