TSTP Solution File: SYN573-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN573-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 0.14s 0.50s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN573-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.10 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.10/0.29 % Computer : n027.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Sat Jul 23 03:44:02 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.50 GeoParameters:
% 0.14/0.50
% 0.14/0.50 tptp_input = 1
% 0.14/0.50 tptp_output = 0
% 0.14/0.50 nonempty = 1
% 0.14/0.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.14/0.50
% 0.14/0.50
% 0.14/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.50
% 0.14/0.50 RuleSystem INPUT:
% 0.14/0.50
% 0.14/0.50 Initial Rules:
% 0.14/0.50 #0: input, references = 4, size of lhs = 1:
% 0.14/0.50 P_c15-{F}(V0) | p12-{T}(V0)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #1: input, references = 3, size of lhs = 2:
% 0.14/0.50 P_c15-{F}(V0), #-{F} V1 | p4-{T}(V1,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #2: input, references = 5, size of lhs = 2:
% 0.14/0.50 P_c15-{F}(V0), #-{F} V1 | p2-{T}(V1,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #3: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f10-{F}(V1,V2), P_f9-{F}(V2,V3), p12-{F}(V1) | p2-{T}(V1,V3)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #4: input, references = 3, size of lhs = 3:
% 0.14/0.50 P_c15-{F}(V0), p12-{F}(V1), p2-{F}(V1,V2) | p12-{T}(V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #5: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f7-{F}(V1,V3), P_f7-{F}(V2,V4), p4-{F}(V1,V2) | p4-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #6: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f5-{F}(V1,V3), P_f5-{F}(V2,V4), p4-{F}(V1,V2) | p2-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #7: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f8-{F}(V1,V3), P_f8-{F}(V2,V4), p2-{F}(V1,V2) | p2-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #8: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f9-{F}(V1,V3), P_f9-{F}(V2,V4), p4-{F}(V1,V2) | p2-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #9: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f10-{F}(V1,V3), P_f10-{F}(V2,V4), p2-{F}(V1,V2) | p4-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #10: input, references = 3, size of lhs = 4:
% 0.14/0.50 P_c15-{F}(V0), P_f6-{F}(V1,V3), P_f6-{F}(V2,V4), p4-{F}(V1,V2) | p4-{T}(V3,V4)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #11: input, references = 3, size of lhs = 3:
% 0.14/0.50 P_c15-{F}(V0), p4-{F}(V3,V1), p4-{F}(V3,V2) | p4-{T}(V1,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #12: input, references = 5, size of lhs = 3:
% 0.14/0.50 P_c15-{F}(V0), p2-{F}(V3,V1), p2-{F}(V3,V2) | p2-{T}(V1,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #13: input, references = 5, size of lhs = 5:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), p12-{F}(V4) | p11-{T}(V4,V1), p2-{T}(V4,V3)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #14: input, references = 3, size of lhs = 6:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_f10-{F}(V4,V5), p12-{F}(V4) | p13-{T}(V5,V2), p4-{T}(V5,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #15: input, references = 5, size of lhs = 12:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f8-{F}(V9,V10), P_f8-{F}(V8,V11), P_f3-{F}(V11,V7,V12), P_f3-{F}(V10,V12,V13) | p11-{T}(V8,V13)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #16: input, references = 4, size of lhs = 11:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), p11-{F}(V8,V9), p2-{F}(V9,V10), p2-{F}(V8,V11) | p11-{T}(V11,V10)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #17: input, references = 3, size of lhs = 11:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), p13-{F}(V8,V9), p4-{F}(V9,V10), p4-{F}(V8,V11) | p13-{T}(V11,V10)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #18: input, references = 6, size of lhs = 13:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f8-{F}(V1,V8), P_f8-{F}(V3,V9), P_f3-{F}(V9,V7,V10), P_f3-{F}(V8,V10,V11), p11-{F}(V0,V11) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #19: input, references = 3, size of lhs = 16:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f8-{F}(V1,V8), P_f8-{F}(V3,V9), P_f3-{F}(V9,V7,V10), P_f3-{F}(V8,V10,V11), p2-{F}(V12,V13), P_f3-{F}(V15,V12,V16), P_f3-{F}(V14,V13,V17), p2-{F}(V15,V14) | p2-{T}(V16,V17)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #20: input, references = 4, size of lhs = 17:
% 0.14/0.50 P_c15-{F}(V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f8-{F}(V1,V8), P_f8-{F}(V3,V9), P_f3-{F}(V9,V7,V10), P_f3-{F}(V8,V10,V11), P_f8-{F}(V13,V14), p11-{F}(V12,V13), P_f8-{F}(V15,V16), P_f3-{F}(V16,V7,V17), P_f3-{F}(V14,V17,V18) | p11-{T}(V12,V18)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #21: input, references = 4, size of lhs = 0:
% 0.14/0.50 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #22: input, references = 4, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #23: input, references = 3, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f10-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #24: input, references = 4, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #25: input, references = 5, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #26: input, references = 6, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #27: input, references = 4, size of lhs = 1:
% 0.14/0.50 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #28: input, references = 4, size of lhs = 0:
% 0.14/0.50 FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #29: input, references = 4, size of lhs = 0:
% 0.14/0.50 FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #30: input, references = 9, size of lhs = 2:
% 0.14/0.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_f3-{T}(V0,V1,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #31: input, references = 4, size of lhs = 0:
% 0.14/0.50 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 number of initial rules = 32
% 0.14/0.50
% 0.14/0.50 Simplifiers:
% 0.14/0.50 #32: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #33: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #34: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f10-{F}(V0,V1), P_f10-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #35: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #36: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #37: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #38: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #39: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #40: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #41: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_f3-{F}(V0,V1,V2), P_f3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #42: unsound, references = 3, size of lhs = 3:
% 0.14/0.50 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 number of simplifiers = 11
% 0.14/0.50
% 0.14/0.50 Learnt:
% 0.14/0.50 #53: mergings( V3 == V11, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18, V10 == V19; #44 ), references = 1, size of lhs = 14:
% 0.14/0.50 P_c15-{F}(V0), P_f8-{F}(V0,V1), P_c16-{F}(V2), P_c17-{F}(V3), P_f9-{F}(V3,V4), P_c14-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V7,V8), P_f3-{F}(V1,V8,V9), P_f8-{F}(V2,V10), P_f8-{F}(V4,V11), P_f3-{F}(V11,V8,V9), P_f8-{F}(V12,V10) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #62: mergings( V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V16; #54 ), references = 1, size of lhs = 12:
% 0.14/0.50 P_c15-{F}(V0), P_f8-{F}(V0,V1), P_c16-{F}(V2), P_c17-{F}(V3), P_f9-{F}(V3,V4), P_f8-{F}(V4,V1), P_c14-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V7,V8), P_f8-{F}(V2,V9), P_f8-{F}(V10,V9) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #84: mergings( V3 == V4, V4 == V12, V12 == V20, V5 == V13, V13 == V23, V6 == V14, V7 == V15, V14 == V24, V15 == V25, V8 == V16, V9 == V17, V10 == V18, V11 == V19, V16 == V26, V17 == V27, V18 == V28, V19 == V29; #66 ), references = 1, size of lhs = 15:
% 0.14/0.50 P_c15-{F}(V0), p2-{F}(V1,V0), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9), P_f3-{F}(V2,V9,V10), P_f8-{F}(V3,V11), P_f8-{F}(V5,V12), P_f3-{F}(V12,V9,V10), P_f8-{F}(V13,V11) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #102: mergings( V3 == V4, V4 == V11, V11 == V19, V5 == V12, V12 == V21, V6 == V13, V7 == V14, V13 == V22, V14 == V23, V8 == V15, V9 == V16, V10 == V17, V1 == V18, V15 == V24, V16 == V25, V17 == V26; #85 ), references = 1, size of lhs = 13:
% 0.14/0.50 P_c15-{F}(V0), p2-{F}(V1,V0), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_f8-{F}(V5,V2), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9), P_f8-{F}(V3,V10), P_f8-{F}(V11,V10) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #120: mergings( V2 == V3, V3 == V11, V11 == V19, V4 == V12, V12 == V0, V5 == V13, V6 == V14, V13 == V22, V14 == V23, V7 == V15, V8 == V16, V9 == V17, V10 == V18, V15 == V24, V16 == V25, V17 == V26; #103 ), references = 3, size of lhs = 11:
% 0.14/0.50 P_c15-{F}(V0), p2-{F}(V1,V0), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_f8-{F}(V5,V2), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #132: mergings( V0 == V5, V5 == V6, V1 == V8, V2 == V9, V3 == V10; #125 ), references = 1, size of lhs = 11:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V1), p2-{F}(V0,V1), P_c16-{F}(V2), P_c17-{F}(V3), P_f9-{F}(V3,V4), P_f8-{F}(V4,V5), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9) | p11-{T}(V0,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #146: mergings( V3 == V12, V4 == V14, V5 == V15, V6 == V16, V11 == V21, V7 == V17, V8 == V18, V9 == V19, V10 == V20; #136 ), references = 1, size of lhs = 15:
% 0.14/0.50 P_c15-{F}(V0), p11-{F}(V0,V1), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_f8-{F}(V3,V2), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9), P_f8-{F}(V5,V10), P_f3-{F}(V10,V9,V11), P_f3-{F}(V12,V9,V11), P_f8-{F}(V13,V12) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #155: mergings( V3 == V11, V4 == V13, V5 == V14, V6 == V15, V7 == V16, V8 == V17, V9 == V18; #147 ), references = 1, size of lhs = 13:
% 0.14/0.50 P_c15-{F}(V0), p11-{F}(V0,V1), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_f8-{F}(V3,V2), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_f8-{F}(V5,V6), P_c14-{F}(V7), P_f7-{F}(V7,V8), P_f6-{F}(V8,V9), P_f5-{F}(V9,V10), P_f8-{F}(V11,V6) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #163: mergings( V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14, V7 == V15; #156 ), references = 2, size of lhs = 11:
% 0.14/0.50 P_c15-{F}(V0), p11-{F}(V0,V1), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_f8-{F}(V3,V4), P_c14-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f5-{F}(V7,V8), P_f8-{F}(V9,V4) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #168: exists( #25, #120 ), references = 2, size of lhs = 10:
% 0.14/0.50 P_c15-{F}(V0), p2-{F}(V1,V0), P_f8-{F}(V1,V2), P_c16-{F}(V3), P_c17-{F}(V4), P_f9-{F}(V4,V5), P_f8-{F}(V5,V2), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #178: mergings( V0 == V5, V5 == V6, V1 == V8, V2 == V9, V3 == V10; #172 ), references = 1, size of lhs = 10:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V1), p2-{F}(V0,V1), P_c16-{F}(V2), P_c17-{F}(V3), P_f9-{F}(V3,V4), P_f8-{F}(V4,V5), P_c14-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8) | p11-{T}(V0,V2)
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #185: exists( #25, #163 ), references = 1, size of lhs = 10:
% 0.14/0.50 P_c15-{F}(V0), p11-{F}(V0,V1), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_f8-{F}(V3,V4), P_c14-{F}(V5), P_f7-{F}(V5,V6), P_f6-{F}(V6,V7), P_f8-{F}(V8,V4) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #198: mergings( V2 == V5, V5 == V6, V6 == V7, V9 == V13, V3 == V10, V4 == V11, V10 == V14, V11 == V15, V8 == V16, V12 == V17; #187 ), references = 1, size of lhs = 10:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_f8-{F}(V3,V4), P_c14-{F}(V5), P_f7-{F}(V5,V6), P_f8-{F}(V7,V4) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #207: mergings( V2 == V4, V4 == V5, V5 == V6, V7 == V11, V3 == V8, V8 == V12, V9 == V13; #199 ), references = 1, size of lhs = 8:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4), P_f7-{F}(V4,V5) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #215: mergings( V2 == V5, V5 == V6, V6 == V7, V8 == V10, V3 == V9, V9 == V11; #208 ), references = 1, size of lhs = 7:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1), P_c17-{F}(V2), P_f9-{F}(V2,V3), P_c14-{F}(V4) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #221: mergings( V2 == V3, V3 == V4, V4 == V5, V6 == V7; #216 ), references = 1, size of lhs = 6:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1), P_c17-{F}(V2), P_c14-{F}(V3) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #227: mergings( V1 == V2, V2 == V3, V3 == V4, V5 == V6; #222 ), references = 1, size of lhs = 5:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1), P_c17-{F}(V2) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #233: mergings( V1 == V2, V2 == V3, V3 == V4, V5 == V6; #228 ), references = 1, size of lhs = 4:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0), P_c16-{F}(V1) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #238: mergings( V1 == V2, V2 == V3, V3 == V4; #234 ), references = 1, size of lhs = 3:
% 0.14/0.50 p12-{F}(V0), P_c15-{F}(V0), p2-{F}(V0,V0) | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 #242: exists( #21, #240 ), references = 1, size of lhs = 0:
% 0.14/0.50 FALSE | FALSE
% 0.14/0.50 (used 0 times, uses = {})
% 0.14/0.50
% 0.14/0.50 number of learnt formulas = 20
% 0.14/0.50
% 0.14/0.50
% 0.14/0.50 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.50
% 0.14/0.50 randbase = 1
%------------------------------------------------------------------------------