TSTP Solution File: KLE142+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : KLE142+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:07:10 EDT 2022
% Result : Theorem 3.62s 3.78s
% Output : Refutation 3.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KLE142+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 16:49:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.62/3.78 GeoParameters:
% 3.62/3.78
% 3.62/3.78 tptp_input = 1
% 3.62/3.78 tptp_output = 0
% 3.62/3.78 nonempty = 1
% 3.62/3.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.62/3.78
% 3.62/3.78
% 3.62/3.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.78
% 3.62/3.78 RuleSystem INPUT:
% 3.62/3.78
% 3.62/3.78 Initial Rules:
% 3.62/3.78 #0: input, references = 5, size of lhs = 3:
% 3.62/3.78 P_addition-{F}(V0,V1,V2), P_addition-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #1: input, references = 5, size of lhs = 5:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #2: input, references = 4, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_addition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #3: input, references = 4, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_addition-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #4: input, references = 3, size of lhs = 6:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #5: input, references = 4, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V2,V1,V3), V3 == V2 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #6: input, references = 4, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V1,V2,V3), V3 == V2 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #7: input, references = 4, size of lhs = 8:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #8: input, references = 5, size of lhs = 8:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #9: input, references = 4, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_multiplication-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #10: input, references = 5, size of lhs = 6:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #11: input, references = 4, size of lhs = 6:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #12: input, references = 3, size of lhs = 7:
% 3.62/3.78 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)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #13: input, references = 3, size of lhs = 7:
% 3.62/3.78 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)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #14: input, references = 4, size of lhs = 6:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #15: input, references = 17, size of lhs = 7:
% 3.62/3.78 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)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #16: input, references = 4, size of lhs = 7:
% 3.62/3.78 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
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #17: input, references = 7, size of lhs = 5:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V4), leq-{F}(V2,V3), V4 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #18: input, references = 14, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V2,V3,V3) | leq-{T}(V2,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #19: input, references = 4, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2) | EXISTS V3: pppp0-{T}(V2,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #20: input, references = 4, size of lhs = 3:
% 3.62/3.78 pppp0-{F}(V0,V1), P_strong_iteration-{F}(V1,V2), P_strong_iteration-{F}(V2,V0) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #21: input, references = 10, size of lhs = 2:
% 3.62/3.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_addition-{T}(V0,V1,V2)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #22: input, references = 4, size of lhs = 0:
% 3.62/3.78 FALSE | EXISTS V0: P_zero-{T}(V0)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #23: input, references = 13, size of lhs = 2:
% 3.62/3.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiplication-{T}(V0,V1,V2)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #24: input, references = 4, size of lhs = 0:
% 3.62/3.78 FALSE | EXISTS V0: P_one-{T}(V0)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #25: input, references = 5, size of lhs = 1:
% 3.62/3.78 #-{F} V0 | EXISTS V1: P_star-{T}(V0,V1)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #26: input, references = 7, size of lhs = 1:
% 3.62/3.78 #-{F} V0 | EXISTS V1: P_strong_iteration-{T}(V0,V1)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 number of initial rules = 27
% 3.62/3.78
% 3.62/3.78 Simplifiers:
% 3.62/3.78 #27: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_addition-{F}(V0,V1,V2), P_addition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #28: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #29: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_multiplication-{F}(V0,V1,V2), P_multiplication-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #30: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #31: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_star-{F}(V0,V1), P_star-{F}(V0,V3), V1 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #32: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 P_strong_iteration-{F}(V0,V1), P_strong_iteration-{F}(V0,V3), V1 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #33: unsound, references = 3, size of lhs = 3:
% 3.62/3.78 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 number of simplifiers = 7
% 3.62/3.78
% 3.62/3.78 Learnt:
% 3.62/3.78 #35: exists( #21, #2 ), references = 10, size of lhs = 2:
% 3.62/3.78 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V0,V1)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #37: exists( #21, #3 ), references = 11, size of lhs = 2:
% 3.62/3.78 P_zero-{F}(V0), #-{F} V1 | P_addition-{T}(V1,V1,V1)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #39: exists( #21, #0 ), references = 14, size of lhs = 1:
% 3.62/3.78 P_addition-{F}(V0,V1,V2) | P_addition-{T}(V1,V0,V2)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #41: exists( #23, #5 ), references = 7, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V2,V1,V2)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #45: exists( #23, #6 ), references = 9, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V1,V2,V2)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #46: exists( #23, #9 ), references = 1, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), #-{F} V2 | P_multiplication-{T}(V0,V2,V0)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #54: exists( #21, #17 ), references = 12, size of lhs = 3:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V3) | P_addition-{T}(V2,V3,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #76: exists( #21, #72 ), references = 3, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V2,V3,V4) | P_addition-{T}(V4,V1,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #77: exists( #21, #73 ), references = 2, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), P_multiplication-{F}(V3,V2,V4) | P_addition-{T}(V4,V1,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #82: mergings( V3 == V4; #80 ), references = 1, size of lhs = 5:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_star-{F}(V2,V3), V2 == V3, P_strong_iteration-{F}(V3,V2) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #109: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #93 ), references = 3, size of lhs = 12:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_strong_iteration-{F}(V3,V4), P_strong_iteration-{F}(V5,V4), P_multiplication-{F}(V3,V6,V7), leq-{F}(V6,V8), P_addition-{F}(V7,V9,V8), P_multiplication-{F}(V2,V6,V10), leq-{F}(V10,V11), P_multiplication-{F}(V5,V10,V12), P_addition-{F}(V12,V9,V11) | P_multiplication-{T}(V4,V9,V10)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #137: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V16 == V19, V20 == V23; #120 ), references = 1, size of lhs = 10:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V3,V0,V0), P_strong_iteration-{F}(V3,V4), P_strong_iteration-{F}(V5,V4), P_multiplication-{F}(V2,V0,V6), leq-{F}(V6,V6), P_multiplication-{F}(V5,V6,V6), P_addition-{F}(V1,V6,V7) | P_star-{T}(V4,V7)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #155: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #144 ), references = 3, size of lhs = 6:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), P_multiplication-{F}(V4,V5,V3), P_addition-{F}(V6,V4,V6) | P_multiplication-{T}(V6,V5,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #172: mergings( V3 == V4; #170 ), references = 1, size of lhs = 5:
% 3.62/3.78 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)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #195: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V1, V6 == V8, V8 == V10, V10 == V12, V12 == V13; #184 ), references = 1, size of lhs = 7:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), P_star-{F}(V4,V3), P_strong_iteration-{F}(V4,V5), V5 == V3 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #207: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #196 ), references = 1, size of lhs = 5:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), P_star-{F}(V4,V3) | P_strong_iteration-{T}(V4,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #232: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #226 ), references = 1, size of lhs = 8:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_strong_iteration-{F}(V3,V4), P_multiplication-{F}(V4,V1,V5), P_addition-{F}(V2,V5,V6), V6 == V5 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #238: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #233 ), references = 2, size of lhs = 6:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), leq-{F}(V2,V2), P_star-{F}(V3,V2), P_strong_iteration-{F}(V3,V4), P_multiplication-{F}(V4,V1,V5) | P_addition-{T}(V2,V5,V5)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #254: exists( #23, #7 ), references = 1, size of lhs = 6:
% 3.62/3.78 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)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #302: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #285 ), references = 1, size of lhs = 7:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), leq-{F}(V3,V4), P_addition-{F}(V5,V1,V4), P_multiplication-{F}(V6,V3,V5) | P_strong_iteration-{T}(V6,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #317: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #286 ), references = 1, size of lhs = 7:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), leq-{F}(V3,V4), P_addition-{F}(V5,V1,V4), P_multiplication-{F}(V6,V3,V5) | P_strong_iteration-{T}(V6,V3)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #332: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #287 ), references = 1, size of lhs = 8:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), leq-{F}(V3,V4), P_addition-{F}(V3,V0,V5), P_addition-{F}(V6,V1,V4), P_multiplication-{F}(V7,V3,V6) | P_strong_iteration-{T}(V7,V5)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #360: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V6, V6 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V7 == V25, V8 == V26; #338 ), references = 2, size of lhs = 10:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_strong_iteration-{F}(V1,V2), P_multiplication-{F}(V2,V0,V3), leq-{F}(V3,V4), P_addition-{F}(V3,V1,V4), pppp0-{F}(V3,V5), P_star-{F}(V5,V6), leq-{F}(V6,V6), P_multiplication-{F}(V6,V3,V3) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #369: exists( #23, #367 ), references = 1, size of lhs = 6:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4), P_addition-{F}(V4,V2,V5), V4 == V5 | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #372: exists( #21, #370 ), references = 2, size of lhs = 4:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_star-{F}(V3,V4) | P_addition-{T}(V2,V4,V4)
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #390: mergings( V2 == V3, V3 == V5, V5 == V8, V8 == V12, V4 == V6, V6 == V9, V9 == V13, V10 == V14; #381 ), references = 1, size of lhs = 9:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_strong_iteration-{F}(V1,V3), P_multiplication-{F}(V3,V0,V4), P_multiplication-{F}(V2,V4,V4), leq-{F}(V4,V5), P_addition-{F}(V4,V1,V5), pppp0-{F}(V4,V6) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #403: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V13, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V2 == V12, V12 == V15; #391 ), references = 2, size of lhs = 8:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V2,V1), P_strong_iteration-{F}(V1,V3), P_multiplication-{F}(V2,V3,V3), P_multiplication-{F}(V3,V0,V3), leq-{F}(V3,V4), P_addition-{F}(V3,V1,V4) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #427: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V4 == V6, V6 == V9, V9 == V11, V11 == V0, V15 == V17; #414 ), references = 1, size of lhs = 8:
% 3.62/3.78 P_zero-{F}(V0), P_one-{F}(V1), P_addition-{F}(V1,V1,V1), leq-{F}(V1,V2), leq-{F}(V1,V3), P_multiplication-{F}(V1,V1,V4), P_addition-{F}(V4,V0,V3), P_addition-{F}(V4,V1,V2) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #443: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #432 ), references = 1, size of lhs = 1:
% 3.62/3.78 P_zero-{F}(V0) | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 #445: exists( #22, #432 ), references = 1, size of lhs = 0:
% 3.62/3.78 FALSE | FALSE
% 3.62/3.78 (used 0 times, uses = {})
% 3.62/3.78
% 3.62/3.78 number of learnt formulas = 30
% 3.62/3.78
% 3.62/3.78
% 3.62/3.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.78
% 3.62/3.78 randbase = 1
%------------------------------------------------------------------------------