TSTP Solution File: SYN569-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:24:59 EDT 2022
% Result : Unsatisfiable 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN569-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 02:43:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.61 GeoParameters:
% 0.39/0.61
% 0.39/0.61 tptp_input = 1
% 0.39/0.61 tptp_output = 0
% 0.39/0.61 nonempty = 1
% 0.39/0.61 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61
% 0.39/0.61 RuleSystem INPUT:
% 0.39/0.61
% 0.39/0.61 Initial Rules:
% 0.39/0.61 #0: input, references = 6, size of lhs = 1:
% 0.39/0.61 #-{F} V0 | p2-{T}(V0,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #1: input, references = 3, size of lhs = 1:
% 0.39/0.61 #-{F} V0 | p6-{T}(V0,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #2: input, references = 4, size of lhs = 2:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1) | p8-{T}(V0,V1)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #3: input, references = 4, size of lhs = 3:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2) | p8-{T}(V2,V1)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #4: input, references = 4, size of lhs = 3:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2) | p8-{T}(V2,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #5: input, references = 4, size of lhs = 5:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4) | p9-{T}(V3,V4,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #6: input, references = 5, size of lhs = 6:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p8-{F}(V5,V6) | p10-{T}(V5,V6)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #7: input, references = 3, size of lhs = 8:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f3-{F}(V5,V7), P_f3-{F}(V6,V8), p2-{F}(V5,V6) | p2-{T}(V7,V8)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #8: input, references = 3, size of lhs = 7:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p6-{F}(V7,V5), p6-{F}(V7,V6) | p6-{T}(V5,V6)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #9: input, references = 6, size of lhs = 7:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p2-{F}(V7,V5), p2-{F}(V7,V6) | p2-{T}(V5,V6)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #10: input, references = 4, size of lhs = 7:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p9-{F}(V6,V5,V7), p9-{F}(V6,V8,V7) | p2-{T}(V8,V5)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #11: input, references = 4, size of lhs = 8:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f3-{F}(V5,V6), p10-{F}(V5,V1), p10-{F}(V2,V5) | p9-{T}(V3,V6,V5)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #12: input, references = 3, size of lhs = 8:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p10-{F}(V5,V6), p2-{F}(V6,V7), p2-{F}(V5,V8) | p10-{T}(V8,V7)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #13: input, references = 3, size of lhs = 8:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p8-{F}(V6,V5), p2-{F}(V5,V7), p2-{F}(V6,V8) | p8-{T}(V8,V7)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #14: input, references = 5, size of lhs = 10:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9) | p2-{T}(V7,V9)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #15: input, references = 4, size of lhs = 14:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), p2-{F}(V10,V11), P_f4-{F}(V13,V10,V14), P_f4-{F}(V12,V11,V15), p2-{F}(V13,V12) | p2-{T}(V14,V15)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #16: input, references = 3, size of lhs = 14:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), p2-{F}(V10,V11), P_f7-{F}(V13,V10,V14), P_f7-{F}(V12,V11,V15), p6-{F}(V13,V12) | p2-{T}(V14,V15)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #17: input, references = 3, size of lhs = 14:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), p2-{F}(V10,V11), P_f5-{F}(V13,V10,V14), P_f5-{F}(V12,V11,V15), p2-{F}(V13,V12) | p2-{T}(V14,V15)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #18: input, references = 3, size of lhs = 14:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), p9-{F}(V12,V10,V11), p2-{F}(V11,V13), p2-{F}(V10,V14), p6-{F}(V12,V15) | p9-{T}(V15,V14,V13)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #19: input, references = 5, size of lhs = 15:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), P_f3-{F}(V10,V11), P_f4-{F}(V8,V11,V12), p8-{F}(V10,V1), p8-{F}(V2,V10), p2-{F}(V7,V12) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #20: input, references = 4, size of lhs = 0:
% 0.39/0.61 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #21: input, references = 4, size of lhs = 0:
% 0.39/0.61 FALSE | EXISTS V0: P_c12-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #22: input, references = 5, size of lhs = 0:
% 0.39/0.61 FALSE | EXISTS V0: P_c11-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #23: input, references = 4, size of lhs = 0:
% 0.39/0.61 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #24: input, references = 4, size of lhs = 0:
% 0.39/0.61 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #25: input, references = 4, size of lhs = 1:
% 0.39/0.61 #-{F} V0 | EXISTS V1: P_f3-{T}(V0,V1)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #26: input, references = 7, size of lhs = 2:
% 0.39/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_f5-{T}(V0,V1,V2)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #27: input, references = 7, size of lhs = 2:
% 0.39/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_f7-{T}(V0,V1,V2)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #28: input, references = 6, size of lhs = 2:
% 0.39/0.61 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of initial rules = 29
% 0.39/0.61
% 0.39/0.61 Simplifiers:
% 0.39/0.61 #29: unsound, references = 3, size of lhs = 2:
% 0.39/0.61 p6-{F}(V0,V1), V1 == V0 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #30: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 p9-{F}(V0,V1,V2), p9-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #31: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #32: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_c12-{F}(V0), P_c12-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #33: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_c11-{F}(V0), P_c11-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #34: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #35: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #36: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_f3-{F}(V0,V1), P_f3-{F}(V0,V3), V1 == V3 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #37: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_f5-{F}(V0,V1,V2), P_f5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #38: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_f7-{F}(V0,V1,V2), P_f7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #39: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of simplifiers = 11
% 0.39/0.61
% 0.39/0.61 Learnt:
% 0.39/0.61 #49: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #41 ), references = 1, size of lhs = 13:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_f7-{F}(V3,V2,V5), P_c15-{F}(V6), P_f5-{F}(V1,V2,V7), P_f4-{F}(V7,V6,V8), p8-{F}(V2,V9), p8-{F}(V9,V1), P_f3-{F}(V9,V10), P_f4-{F}(V7,V10,V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #56: mergings( V3 == V9, V4 == V10, V5 == V11, V7 == V12, V8 == V13; #50 ), references = 1, size of lhs = 12:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_c15-{F}(V5), P_f5-{F}(V1,V2,V6), P_f4-{F}(V6,V5,V7), p8-{F}(V2,V8), p8-{F}(V8,V1), P_f3-{F}(V8,V9), P_f4-{F}(V6,V9,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #60: mergings( V3 == V5, V4 == V6; #57 ), references = 1, size of lhs = 10:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_f5-{F}(V1,V2,V3), P_c13-{F}(V4), P_f7-{F}(V4,V1,V5), P_c15-{F}(V6), p8-{F}(V2,V7), p8-{F}(V7,V1), P_f3-{F}(V7,V6) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #63: mergings( V3 == V4; #61 ), references = 1, size of lhs = 9:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_f5-{F}(V1,V2,V3), P_c13-{F}(V4), P_c15-{F}(V5), p8-{F}(V2,V6), p8-{F}(V6,V1), P_f3-{F}(V6,V5) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #66: mergings( V3 == V4; #64 ), references = 1, size of lhs = 8:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p8-{F}(V2,V5), p8-{F}(V5,V1), P_f3-{F}(V5,V4) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #131: mergings( V3 == V13, V13 == V18, V4 == V14, V14 == V19, V5 == V15, V15 == V20, V6 == V16, V16 == V21, V7 == V17, V17 == V22, V11 == V0, V8 == V23, V9 == V24, V10 == V25, V12 == V26; #115 ), references = 2, size of lhs = 17:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), P_f7-{F}(V3,V1,V5), P_f7-{F}(V3,V2,V6), P_f5-{F}(V5,V6,V7), P_f5-{F}(V1,V2,V8), P_f4-{F}(V8,V4,V9), p8-{F}(V2,V10), p8-{F}(V10,V1), P_f3-{F}(V10,V11), p2-{F}(V12,V11), p2-{F}(V13,V8), P_f4-{F}(V13,V12,V14), p2-{F}(V14,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #148: mergings( V3 == V10, V10 == V15, V4 == V11, V11 == V16, V5 == V12, V12 == V17, V6 == V13, V13 == V18, V7 == V14, V14 == V19, V8 == V20, V9 == V21; #135 ), references = 1, size of lhs = 15:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_f7-{F}(V3,V2,V5), P_c15-{F}(V6), P_f5-{F}(V1,V2,V7), P_f4-{F}(V7,V6,V8), p8-{F}(V2,V9), p8-{F}(V9,V1), P_f3-{F}(V9,V10), p2-{F}(V11,V10), p2-{F}(V12,V7), P_f4-{F}(V12,V11,V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #160: mergings( V3 == V9, V9 == V14, V4 == V10, V10 == V15, V11 == V1, V12 == V0, V5 == V13, V13 == V16, V7 == V17, V8 == V18; #149 ), references = 2, size of lhs = 14:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_c15-{F}(V5), P_f5-{F}(V1,V2,V6), P_f4-{F}(V6,V5,V7), p8-{F}(V2,V8), p8-{F}(V8,V1), P_f3-{F}(V8,V9), p2-{F}(V10,V9), p2-{F}(V11,V6), P_f4-{F}(V11,V10,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #163: exists( #28, #160 ), references = 1, size of lhs = 12:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_c15-{F}(V5), P_f5-{F}(V1,V2,V6), p2-{F}(V6,V6), p8-{F}(V2,V7), p8-{F}(V7,V1), P_f3-{F}(V7,V8), p2-{F}(V5,V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #166: exists( #26, #164 ), references = 1, size of lhs = 10:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_f7-{F}(V3,V1,V4), P_c15-{F}(V5), p8-{F}(V2,V6), p8-{F}(V6,V1), P_f3-{F}(V6,V7), p2-{F}(V5,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #168: exists( #27, #165 ), references = 1, size of lhs = 9:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), P_c13-{F}(V3), P_c15-{F}(V4), p8-{F}(V2,V5), p8-{F}(V5,V1), P_f3-{F}(V5,V6), p2-{F}(V4,V6) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #189: mergings( V2 == V7, V7 == V12, V12 == V17, V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V10 == V15, V15 == V20, V6 == V11, V11 == V16, V16 == V21; #173 ), references = 1, size of lhs = 10:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), P_c11-{F}(V2), p10-{F}(V2,V3), p10-{F}(V3,V1), p8-{F}(V3,V1), p8-{F}(V2,V3), P_c13-{F}(V4), P_c15-{F}(V5), p9-{F}(V4,V5,V3) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #217: mergings( V1 == V4, V4 == V8, V8 == V12, V12 == V16, V16 == V20, V20 == V24, V2 == V5, V5 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V3 == V6, V6 == V10, V10 == V14, V14 == V18, V18 == V22, V22 == V26, V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V27; #193 ), references = 1, size of lhs = 6:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), p8-{F}(V0,V1), P_c11-{F}(V2), p8-{F}(V2,V0), P_c13-{F}(V3) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #237: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21; #218 ), references = 2, size of lhs = 5:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), p8-{F}(V0,V1), P_c11-{F}(V2), p8-{F}(V2,V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #254: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #239 ), references = 1, size of lhs = 3:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V0), p8-{F}(V0,V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #259: mergings( V1 == V3; #257 ), references = 1, size of lhs = 3:
% 0.39/0.61 P_c14-{F}(V0), P_c12-{F}(V1), p8-{F}(V0,V1) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #262: exists( #21, #260 ), references = 1, size of lhs = 1:
% 0.39/0.61 P_c14-{F}(V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #264: exists( #20, #261 ), references = 1, size of lhs = 0:
% 0.39/0.61 FALSE | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of learnt formulas = 18
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.61
% 0.39/0.61 randbase = 1
%------------------------------------------------------------------------------