TSTP Solution File: KLE037+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE037+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:06:59 EDT 2022
% Result : Theorem 3.13s 3.29s
% Output : Refutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : KLE037+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 : n025.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 16:52:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.13/3.29 GeoParameters:
% 3.13/3.29
% 3.13/3.29 tptp_input = 1
% 3.13/3.29 tptp_output = 0
% 3.13/3.29 nonempty = 1
% 3.13/3.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.13/3.29
% 3.13/3.29
% 3.13/3.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.29
% 3.13/3.29 RuleSystem INPUT:
% 3.13/3.29
% 3.13/3.29 Initial Rules:
% 3.13/3.29 #0: input, references = 4, size of lhs = 3:
% 3.13/3.29 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #1: input, references = 5, size of lhs = 5:
% 3.13/3.29 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
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #2: input, references = 4, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #3: input, references = 4, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #4: input, references = 4, size of lhs = 6:
% 3.13/3.29 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
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #5: input, references = 4, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #6: input, references = 4, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #7: input, references = 5, size of lhs = 8:
% 3.13/3.29 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
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #8: input, references = 5, size of lhs = 8:
% 3.13/3.29 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
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #9: input, references = 4, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V0,V3), V3 == V0 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #10: input, references = 4, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #11: input, references = 6, size of lhs = 5:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #12: input, references = 4, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #13: input, references = 6, size of lhs = 5:
% 3.13/3.29 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) | leq-{T}(V5,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #14: input, references = 3, size of lhs = 5:
% 3.13/3.29 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) | leq-{T}(V5,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #15: input, references = 4, size of lhs = 7:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V2,V7), P_multiplication-{F}(V7,V4,V8), leq-{F}(V6,V3) | leq-{T}(V8,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #16: input, references = 3, size of lhs = 7:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V5), P_addition-{F}(V5,V4,V6), P_star-{F}(V3,V7), P_multiplication-{F}(V4,V7,V8), leq-{F}(V6,V2) | leq-{T}(V8,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #17: input, references = 4, size of lhs = 2:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1) | EXISTS V2: pppp0-{T}(V1,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #18: input, references = 4, size of lhs = 3:
% 3.13/3.29 pppp0-{F}(V0,V1), P_star-{F}(V1,V2), leq-{F}(V0,V2) | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #19: input, references = 12, size of lhs = 2:
% 3.13/3.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #20: input, references = 4, size of lhs = 0:
% 3.13/3.29 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #21: input, references = 10, size of lhs = 2:
% 3.13/3.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #22: input, references = 4, size of lhs = 0:
% 3.13/3.29 FALSE | EXISTS V0: P_one-{T}(V0)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #23: input, references = 5, size of lhs = 1:
% 3.13/3.29 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 number of initial rules = 24
% 3.13/3.29
% 3.13/3.29 Simplifiers:
% 3.13/3.29 #24: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #25: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #26: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #27: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #28: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #29: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #30: unsound, references = 3, size of lhs = 3:
% 3.13/3.29 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 number of simplifiers = 7
% 3.13/3.29
% 3.13/3.29 Learnt:
% 3.13/3.29 #32: exists( #19, #3 ), references = 2, size of lhs = 2:
% 3.13/3.29 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #35: exists( #21, #5 ), references = 2, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #36: exists( #21, #6 ), references = 2, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #39: exists( #21, #9 ), references = 1, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V0,V0)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #40: exists( #21, #10 ), references = 1, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #42: exists( #19, #2 ), references = 1, size of lhs = 2:
% 3.13/3.29 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #46: exists( #19, #0 ), references = 5, size of lhs = 1:
% 3.13/3.29 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #51: exists( #19, #11 ), references = 3, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #97: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V3 == V0, V0 == V6, V6 == V8, V8 == V10, V10 == V12; #86 ), references = 1, size of lhs = 5:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V1,V2), P_addition-{F}(V2,V1,V3), leq-{F}(V3,V1) | P_star-{T}(V1,V1)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #126: exists( #19, #7 ), references = 2, size of lhs = 6:
% 3.13/3.29 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)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #127: exists( #19, #8 ), references = 1, size of lhs = 6:
% 3.13/3.29 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)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #129: exists( #21, #4 ), references = 2, size of lhs = 4:
% 3.13/3.29 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)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #131: exists( #19, #1 ), references = 3, size of lhs = 3:
% 3.13/3.29 P_addition-{F}(V0,V1,V2), P_addition-{F}(V3,V0,V4), P_addition-{F}(V4,V1,V5) | P_addition-{T}(V3,V2,V5)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #153: mergings( V3 == V4; #151 ), references = 1, size of lhs = 8:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V3,V4), P_multiplication-{F}(V5,V2,V6), P_addition-{F}(V7,V8,V6), P_multiplication-{F}(V7,V3,V9), P_multiplication-{F}(V8,V3,V10), P_addition-{F}(V9,V10,V11) | P_multiplication-{T}(V5,V4,V11)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #155: exists( #21, #7 ), references = 1, size of lhs = 6:
% 3.13/3.29 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)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #171: mergings( V3 == V4, V0 == V5; #168 ), references = 2, size of lhs = 7:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5), P_addition-{F}(V2,V4,V6), V6 == V4 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #176: mergings( V3 == V5, V4 == V6; #173 ), references = 1, size of lhs = 5:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_multiplication-{F}(V3,V4,V5) | P_addition-{T}(V4,V2,V4)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #192: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #183 ), references = 1, size of lhs = 5:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V1,V3) | P_multiplication-{T}(V2,V3,V3)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #214: exists( #21, #171 ), references = 1, size of lhs = 6:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4), P_addition-{F}(V2,V4,V5), V5 == V4 | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #216: exists( #19, #213 ), references = 1, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #222: mergings( V2 == V5, V3 == V6; #219 ), references = 1, size of lhs = 4:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V1,V1), pppp0-{F}(V2,V3) | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #228: mergings( V0 == V3, V3 == V5, V1 == V4, V4 == V6; #223 ), references = 1, size of lhs = 3:
% 3.13/3.29 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1) | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #234: mergings( V1 == V2, V2 == V3, V3 == V4; #230 ), references = 1, size of lhs = 1:
% 3.13/3.29 P_zero-{F}(V0) | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 #236: exists( #20, #230 ), references = 1, size of lhs = 0:
% 3.13/3.29 FALSE | FALSE
% 3.13/3.29 (used 0 times, uses = {})
% 3.13/3.29
% 3.13/3.29 number of learnt formulas = 24
% 3.13/3.29
% 3.13/3.29
% 3.13/3.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.29
% 3.13/3.29 randbase = 1
%------------------------------------------------------------------------------