TSTP Solution File: SYN579-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN579-1 : TPTP v8.1.0. Released v2.5.0.
% 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 06:25:00 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN579-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % 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 : Sat Jul 23 03:33:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52 GeoParameters:
% 0.18/0.52
% 0.18/0.52 tptp_input = 1
% 0.18/0.52 tptp_output = 0
% 0.18/0.52 nonempty = 1
% 0.18/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 RuleSystem INPUT:
% 0.18/0.52
% 0.18/0.52 Initial Rules:
% 0.18/0.52 #0: input, references = 3, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | p10-{T}(V0,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #1: input, references = 5, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | p7-{T}(V0,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #2: input, references = 6, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | p3-{T}(V0,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #3: input, references = 3, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | p2-{T}(V0,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #4: input, references = 4, size of lhs = 2:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1) | p9-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #5: input, references = 4, size of lhs = 4:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3) | p11-{T}(V2,V3)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #6: input, references = 4, size of lhs = 6:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5) | p2-{T}(V4,V5)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #7: input, references = 4, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f5-{F}(V6,V7), P_f4-{F}(V7,V8), P_f4-{F}(V6,V9) | p3-{T}(V8,V9)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #8: input, references = 6, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f5-{F}(V6,V7), P_f6-{F}(V7,V8), P_f6-{F}(V6,V9) | p3-{T}(V8,V9)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #9: input, references = 3, size of lhs = 8:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p9-{F}(V7,V6) | p9-{T}(V7,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #10: input, references = 5, size of lhs = 8:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p9-{F}(V7,V1) | p9-{T}(V7,V6)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #11: input, references = 3, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), P_f5-{F}(V7,V9), P_f5-{F}(V8,V10), p2-{F}(V7,V8) | p2-{T}(V9,V10)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #12: input, references = 5, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), P_f6-{F}(V7,V9), P_f6-{F}(V8,V10), p2-{F}(V7,V8) | p3-{T}(V9,V10)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #13: input, references = 5, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), P_f4-{F}(V7,V9), P_f4-{F}(V8,V10), p2-{F}(V7,V8) | p3-{T}(V9,V10)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #14: input, references = 3, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p10-{F}(V9,V7), p10-{F}(V9,V8) | p10-{T}(V7,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #15: input, references = 3, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p7-{F}(V9,V7), p7-{F}(V9,V8) | p7-{T}(V7,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #16: input, references = 4, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p3-{F}(V9,V7), p3-{F}(V9,V8) | p3-{T}(V7,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #17: input, references = 3, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p2-{F}(V9,V7), p2-{F}(V9,V8) | p2-{T}(V7,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #18: input, references = 3, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p11-{F}(V7,V8), p10-{F}(V8,V9), p2-{F}(V7,V10) | p11-{T}(V10,V9)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #19: input, references = 8, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p9-{F}(V7,V8), p3-{F}(V8,V9), p7-{F}(V7,V10) | p9-{T}(V10,V9)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #20: input, references = 3, size of lhs = 11:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), p2-{F}(V7,V8), P_f8-{F}(V10,V7,V11), P_f8-{F}(V9,V8,V12), p3-{F}(V10,V9) | p7-{T}(V11,V12)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #21: input, references = 4, size of lhs = 11:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), P_f6-{F}(V7,V8), p11-{F}(V7,V3), P_f8-{F}(V9,V7,V10), p9-{F}(V0,V9) | p9-{T}(V10,V9), p9-{T}(V10,V8)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #22: input, references = 5, size of lhs = 13:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f5-{F}(V2,V5), P_f6-{F}(V4,V6), P_f6-{F}(V7,V8), p11-{F}(V7,V3), P_f8-{F}(V9,V7,V10), p9-{F}(V0,V9), p9-{F}(V10,V9), p9-{F}(V10,V8) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #23: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c12-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #24: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #25: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #26: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #27: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #28: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #29: input, references = 4, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #30: input, references = 9, size of lhs = 1:
% 0.18/0.52 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #31: input, references = 4, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of initial rules = 32
% 0.18/0.52
% 0.18/0.52 Simplifiers:
% 0.18/0.52 #32: unsound, references = 3, size of lhs = 2:
% 0.18/0.52 p10-{F}(V0,V1), V1 == V0 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 p11-{F}(V0,V1), p11-{F}(V2,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #34: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #35: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #36: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #37: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #38: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #39: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #40: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #41: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #42: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of simplifiers = 11
% 0.18/0.52
% 0.18/0.52 Learnt:
% 0.18/0.52 #59: mergings( V3 == V21, V0 == V11, V11 == V18, V1 == V12, V12 == V19, V2 == V13, V13 == V20, V14 == V21, V4 == V15, V15 == V22, V5 == V16, V16 == V23, V6 == V17, V17 == V24; #44 ), references = 1, size of lhs = 17:
% 0.18/0.52 P_c12-{F}(V0), p9-{F}(V0,V1), P_c13-{F}(V2), P_c14-{F}(V3), P_c15-{F}(V4), p11-{F}(V5,V4), P_f6-{F}(V5,V6), P_f8-{F}(V1,V5,V7), p7-{F}(V7,V7), P_c16-{F}(V8), P_f5-{F}(V3,V9), P_f6-{F}(V8,V10), p11-{F}(V11,V4), P_f6-{F}(V11,V6), p9-{F}(V0,V12), P_f8-{F}(V12,V11,V7), p3-{F}(V6,V12) | p9-{T}(V7,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #87: mergings( V9 == V20, V20 == V35, V2 == V13, V13 == V25, V25 == V30, V3 == V7, V7 == V14, V14 == V18, V18 == V26, V26 == V33, V4 == V8, V8 == V15, V15 == V19, V19 == V27, V27 == V34, V5 == V16, V16 == V28, V28 == V35, V6 == V10, V10 == V17, V17 == V21, V21 == V29, V29 == V36; #63 ), references = 3, size of lhs = 21:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), p3-{F}(V2,V3), P_c13-{F}(V4), P_c14-{F}(V5), P_c15-{F}(V6), p11-{F}(V7,V6), P_f6-{F}(V7,V8), p3-{F}(V8,V3), p11-{F}(V9,V6), P_f6-{F}(V9,V8), P_f8-{F}(V3,V7,V10), p7-{F}(V10,V10), P_f8-{F}(V3,V9,V10), P_c16-{F}(V11), P_f5-{F}(V5,V12), p11-{F}(V13,V6), P_f8-{F}(V3,V13,V10), P_f6-{F}(V13,V14), p3-{F}(V3,V14) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #93: mergings( V9 == V12; #91 ), references = 4, size of lhs = 13:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), p3-{F}(V2,V3), P_c13-{F}(V4), P_c14-{F}(V5), P_c15-{F}(V6), P_c16-{F}(V7), P_f5-{F}(V5,V8), p11-{F}(V9,V6), P_f6-{F}(V9,V10), p3-{F}(V10,V3), p3-{F}(V3,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #111: mergings( V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V10, V10 == V16, V5 == V11, V11 == V17, V0 == V12, V12 == V18, V6 == V13, V13 == V19; #98 ), references = 1, size of lhs = 14:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_c13-{F}(V2), P_c14-{F}(V3), P_c15-{F}(V4), P_c16-{F}(V5), P_f5-{F}(V3,V6), p11-{F}(V7,V4), P_f6-{F}(V7,V8), p3-{F}(V8,V9), p3-{F}(V9,V8), P_f6-{F}(V10,V9), P_f5-{F}(V10,V5) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #126: mergings( V2 == V9, V9 == V15, V3 == V10, V10 == V16, V4 == V11, V11 == V17, V5 == V12, V12 == V18, V6 == V13, V13 == V19, V7 == V14, V14 == V20; #113 ), references = 1, size of lhs = 10:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_c13-{F}(V2), P_c14-{F}(V3), P_c15-{F}(V4), P_c16-{F}(V5), P_f5-{F}(V3,V6), p11-{F}(V7,V4), P_f5-{F}(V7,V5) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #167: mergings( V2 == V8, V8 == V15, V15 == V22, V22 == V29, V3 == V9, V9 == V16, V16 == V23, V23 == V36, V4 == V10, V10 == V17, V17 == V24, V24 == V37, V5 == V11, V11 == V18, V18 == V25, V25 == V38, V6 == V12, V12 == V19, V19 == V26, V26 == V39, V7 == V13, V13 == V20, V20 == V27, V27 == V40, V14 == V21, V21 == V28; #140 ), references = 1, size of lhs = 17:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V1,V0), p9-{F}(V1,V2), P_f4-{F}(V3,V2), P_f5-{F}(V3,V4), p2-{F}(V4,V5), P_f4-{F}(V5,V6), P_f4-{F}(V7,V6), p2-{F}(V7,V4), P_c13-{F}(V8), P_c14-{F}(V9), P_c15-{F}(V10), P_c16-{F}(V11), P_f6-{F}(V11,V12), P_f5-{F}(V9,V13), p11-{F}(V14,V10), P_f6-{F}(V14,V6) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #199: mergings( V2 == V8, V8 == V15, V15 == V22, V3 == V9, V9 == V16, V16 == V23, V4 == V10, V10 == V17, V17 == V24, V5 == V11, V11 == V18, V18 == V25, V6 == V12, V12 == V19, V19 == V26, V7 == V13, V13 == V20, V20 == V27, V14 == V21; #178 ), references = 1, size of lhs = 18:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), P_c16-{F}(V4), P_f6-{F}(V4,V5), P_f5-{F}(V2,V6), p11-{F}(V7,V3), P_f6-{F}(V7,V8), p3-{F}(V8,V9), p3-{F}(V9,V8), P_f6-{F}(V10,V9), P_f5-{F}(V10,V11), p2-{F}(V12,V11), P_f6-{F}(V12,V13), p9-{F}(V14,V13), p7-{F}(V14,V15), p7-{F}(V15,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #219: mergings( V2 == V8, V8 == V15, V15 == V22, V3 == V9, V9 == V16, V16 == V23, V4 == V10, V10 == V17, V17 == V24, V5 == V11, V11 == V18, V18 == V25, V6 == V12, V12 == V19, V19 == V32, V7 == V13, V13 == V20, V20 == V33, V14 == V21; #179 ), references = 1, size of lhs = 26:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), P_c14-{F}(V2), P_c15-{F}(V3), p11-{F}(V4,V3), P_f6-{F}(V4,V5), p3-{F}(V5,V6), P_f6-{F}(V7,V6), P_f5-{F}(V7,V8), p11-{F}(V9,V3), P_f6-{F}(V9,V5), P_f8-{F}(V6,V4,V10), p7-{F}(V10,V10), P_f8-{F}(V6,V9,V10), P_c16-{F}(V11), P_f6-{F}(V11,V12), P_f5-{F}(V2,V13), p11-{F}(V14,V3), P_f8-{F}(V6,V14,V10), P_f6-{F}(V14,V15), p3-{F}(V6,V15), p2-{F}(V16,V8), P_f6-{F}(V16,V17), p9-{F}(V18,V17), p7-{F}(V18,V19), p7-{F}(V19,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #246: mergings( V2 == V8, V8 == V14, V14 == V19, V19 == V24, V3 == V9, V9 == V15, V15 == V20, V20 == V25, V4 == V10, V10 == V16, V16 == V21, V21 == V26, V5 == V11, V11 == V17, V17 == V22, V22 == V27, V12 == V0, V0 == V28, V6 == V13, V13 == V18, V18 == V23, V23 == V29; #222 ), references = 2, size of lhs = 16:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), P_c14-{F}(V3), P_c15-{F}(V4), P_c16-{F}(V5), P_f5-{F}(V3,V6), p11-{F}(V7,V4), P_f6-{F}(V7,V8), p3-{F}(V8,V9), p3-{F}(V9,V8), P_f6-{F}(V10,V9), P_f5-{F}(V10,V11), p2-{F}(V5,V11), p7-{F}(V2,V12), p7-{F}(V12,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #249: exists( #30, #247 ), references = 1, size of lhs = 12:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), P_c14-{F}(V3), P_c15-{F}(V4), P_c16-{F}(V5), P_f5-{F}(V3,V6), p11-{F}(V7,V4), P_f5-{F}(V7,V8), p2-{F}(V5,V8), p7-{F}(V2,V9), p7-{F}(V9,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #255: mergings( V2 == V5, V3 == V6, V4 == V8; #251 ), references = 1, size of lhs = 9:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), P_c14-{F}(V3), P_c15-{F}(V4), p11-{F}(V3,V4), P_c16-{F}(V5), p7-{F}(V2,V6), p7-{F}(V6,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #260: mergings( V1 == V4, V2 == V5, V3 == V8; #256 ), references = 1, size of lhs = 8:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), P_c14-{F}(V3), P_c15-{F}(V4), p11-{F}(V3,V4), p7-{F}(V2,V5), p7-{F}(V5,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #267: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #262 ), references = 1, size of lhs = 6:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), P_c14-{F}(V3), p7-{F}(V2,V4), p7-{F}(V4,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #273: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #268 ), references = 1, size of lhs = 5:
% 0.18/0.52 P_c12-{F}(V0), P_c13-{F}(V1), p9-{F}(V2,V1), p7-{F}(V2,V3), p7-{F}(V3,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #279: mergings( V1 == V2, V2 == V3, V3 == V4; #275 ), references = 1, size of lhs = 3:
% 0.18/0.52 P_c12-{F}(V0), p7-{F}(V0,V1), p7-{F}(V1,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #282: exists( #23, #280 ), references = 1, size of lhs = 0:
% 0.18/0.52 FALSE | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of learnt formulas = 16
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------