TSTP Solution File: SYN590-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN590-1 : 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 06:25:01 EDT 2022
% Result : Unsatisfiable 0.53s 0.71s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN590-1 : 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 02:36:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.53/0.71 GeoParameters:
% 0.53/0.71
% 0.53/0.71 tptp_input = 1
% 0.53/0.71 tptp_output = 0
% 0.53/0.71 nonempty = 1
% 0.53/0.71 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.71 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.53/0.71
% 0.53/0.71
% 0.53/0.71 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.71
% 0.53/0.71 RuleSystem INPUT:
% 0.53/0.71
% 0.53/0.71 Initial Rules:
% 0.53/0.71 #0: input, references = 3, size of lhs = 1:
% 0.53/0.71 P_c14-{F}(V0) | p11-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #1: input, references = 3, size of lhs = 2:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1) | p11-{T}(V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #2: input, references = 4, size of lhs = 3:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2) | p11-{T}(V2)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #3: input, references = 3, size of lhs = 4:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), #-{F} V3 | p5-{T}(V3,V3)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #4: input, references = 3, size of lhs = 4:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), #-{F} V3 | p2-{T}(V3,V3)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #5: input, references = 3, size of lhs = 4:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), #-{F} V3 | p3-{T}(V3,V3)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #6: input, references = 4, size of lhs = 6:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5) | p3-{T}(V3,V5)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #7: input, references = 5, size of lhs = 9:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8) | p3-{T}(V6,V8)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #8: input, references = 4, size of lhs = 11:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f9-{F}(V9,V10), p11-{F}(V9) | p11-{T}(V10)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #9: input, references = 3, size of lhs = 11:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), p11-{F}(V9), p2-{F}(V9,V10) | p11-{T}(V10)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #10: input, references = 7, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f6-{F}(V9,V11), P_f6-{F}(V10,V12), p10-{F}(V11,V12) | p12-{T}(V9,V10)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #11: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f8-{F}(V9,V11), P_f8-{F}(V10,V12), p2-{F}(V9,V10) | p5-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #12: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f6-{F}(V9,V11), P_f6-{F}(V10,V12), p12-{F}(V9,V10) | p10-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #13: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f9-{F}(V9,V11), P_f9-{F}(V10,V12), p2-{F}(V9,V10) | p2-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #14: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V9,V11), P_f4-{F}(V10,V12), p2-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #15: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f6-{F}(V9,V11), P_f6-{F}(V10,V12), p5-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #16: input, references = 3, size of lhs = 12:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f7-{F}(V9,V11), P_f7-{F}(V10,V12), p5-{F}(V9,V10) | p5-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #17: input, references = 5, size of lhs = 13:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V9,V10), P_f8-{F}(V9,V11), P_f6-{F}(V11,V12), p11-{F}(V9) | p3-{T}(V10,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #18: input, references = 5, size of lhs = 13:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_f9-{F}(V9,V10), P_f4-{F}(V10,V11), P_f4-{F}(V9,V12), p11-{F}(V9) | p10-{T}(V11,V12)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #19: input, references = 5, size of lhs = 14:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), P_f4-{F}(V12,V13), p11-{F}(V12) | p10-{T}(V11,V13)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #20: input, references = 3, size of lhs = 14:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), P_f4-{F}(V12,V13), p11-{F}(V12) | p10-{T}(V11,V13)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #21: input, references = 3, size of lhs = 14:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p5-{F}(V14,V12), p5-{F}(V14,V13) | p5-{T}(V12,V13)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #22: input, references = 3, size of lhs = 14:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p2-{F}(V14,V12), p2-{F}(V14,V13) | p2-{T}(V12,V13)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #23: input, references = 3, size of lhs = 14:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p3-{F}(V14,V12), p3-{F}(V14,V13) | p3-{T}(V12,V13)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #24: input, references = 7, size of lhs = 17:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), P_f6-{F}(V12,V13), p12-{F}(V12,V7), P_f4-{F}(V14,V15), p11-{F}(V14), p3-{F}(V15,V13) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #25: input, references = 4, size of lhs = 15:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p10-{F}(V12,V13), p3-{F}(V13,V14), p3-{F}(V12,V15) | p10-{T}(V15,V14)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #26: input, references = 3, size of lhs = 15:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p12-{F}(V12,V13), p5-{F}(V13,V14), p5-{F}(V12,V15) | p12-{T}(V15,V14)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #27: input, references = 4, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c14-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #28: input, references = 4, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #29: input, references = 4, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #30: input, references = 12, size of lhs = 1:
% 0.53/0.71 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #31: input, references = 10, size of lhs = 1:
% 0.53/0.71 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #32: input, references = 4, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c18-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #33: input, references = 4, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c15-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #34: input, references = 4, size of lhs = 1:
% 0.53/0.71 #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #35: input, references = 4, size of lhs = 1:
% 0.53/0.71 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #36: input, references = 5, size of lhs = 1:
% 0.53/0.71 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #37: input, references = 5, size of lhs = 0:
% 0.53/0.71 FALSE | EXISTS V0: P_c13-{T}(V0)
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 number of initial rules = 38
% 0.53/0.71
% 0.53/0.71 Simplifiers:
% 0.53/0.71 #38: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c14-{F}(V0), P_c14-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #39: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #40: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #41: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #42: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #43: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c18-{F}(V0), P_c18-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #44: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c15-{F}(V0), P_c15-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #45: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #46: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #47: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #48: unsound, references = 3, size of lhs = 3:
% 0.53/0.71 P_c13-{F}(V0), P_c13-{F}(V1), V0 == V1 | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 number of simplifiers = 11
% 0.53/0.71
% 0.53/0.71 Learnt:
% 0.53/0.71 #68: mergings( V2 == V13, V13 == V20, V3 == V14, V14 == V21, V6 == V17, V17 == V24, V12 == V26, V32 == V11, V4 == V15, V5 == V16, V15 == V22, V16 == V23, V7 == V18, V8 == V19, V18 == V25, V19 == V26; #51 ), references = 2, size of lhs = 19:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), P_f4-{F}(V1,V2), P_f4-{F}(V0,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_c16-{F}(V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V6,V9), P_c15-{F}(V10), P_f6-{F}(V10,V3), P_c13-{F}(V11), P_f7-{F}(V11,V12), P_f6-{F}(V12,V13), p11-{F}(V14), P_f4-{F}(V14,V15), p3-{F}(V15,V2), P_f6-{F}(V16,V2) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #71: exists( #31, #68 ), references = 1, size of lhs = 18:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), P_f4-{F}(V1,V2), P_f4-{F}(V0,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_c16-{F}(V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V6,V9), P_c15-{F}(V10), P_f6-{F}(V10,V3), P_c13-{F}(V11), P_f7-{F}(V11,V12), p11-{F}(V13), P_f4-{F}(V13,V14), p3-{F}(V14,V2), P_f6-{F}(V15,V2) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #73: exists( #36, #69 ), references = 1, size of lhs = 17:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), P_f4-{F}(V1,V2), P_f4-{F}(V0,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_c16-{F}(V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V6,V9), P_c15-{F}(V10), P_f6-{F}(V10,V3), P_c13-{F}(V11), p11-{F}(V12), P_f4-{F}(V12,V13), p3-{F}(V13,V2), P_f6-{F}(V14,V2) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #109: mergings( V2 == V13, V13 == V25, V25 == V34, V3 == V14, V14 == V26, V26 == V35, V4 == V15, V15 == V27, V27 == V36, V5 == V16, V8 == V19, V16 == V28, V19 == V31, V28 == V37, V31 == V40, V24 == V42, V6 == V17, V7 == V18, V17 == V29, V18 == V30, V29 == V38, V30 == V39, V9 == V20, V10 == V21, V20 == V32, V21 == V33, V32 == V41, V33 == V42, V22 == V43; #79 ), references = 1, size of lhs = 18:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_f8-{F}(V0,V2), p11-{F}(V3), P_f4-{F}(V3,V4), P_c14-{F}(V5), P_c17-{F}(V6), P_c16-{F}(V7), P_f4-{F}(V6,V8), P_c18-{F}(V9), P_f6-{F}(V9,V10), P_f4-{F}(V7,V11), P_c15-{F}(V12), P_f6-{F}(V12,V4), P_c13-{F}(V13), P_f7-{F}(V13,V2), p11-{F}(V14), P_f4-{F}(V14,V1) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #134: mergings( V2 == V12, V12 == V22, V22 == V29, V3 == V13, V13 == V23, V23 == V30, V6 == V16, V16 == V26, V26 == V33, V21 == V35, V4 == V14, V5 == V15, V14 == V24, V15 == V25, V24 == V31, V25 == V32, V7 == V17, V8 == V18, V17 == V27, V18 == V28, V27 == V34, V28 == V35, V19 == V36; #110 ), references = 1, size of lhs = 17:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_f8-{F}(V0,V2), p11-{F}(V3), P_f4-{F}(V3,V4), P_c14-{F}(V5), P_c17-{F}(V6), P_c16-{F}(V7), P_c18-{F}(V8), P_f6-{F}(V8,V9), P_f4-{F}(V7,V10), P_c15-{F}(V11), P_f6-{F}(V11,V4), P_c13-{F}(V12), P_f7-{F}(V12,V2), p11-{F}(V13), P_f4-{F}(V13,V1) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #157: mergings( V2 == V14, V14 == V21, V3 == V15, V15 == V22, V6 == V18, V18 == V25, V13 == V27, V33 == V11, V4 == V16, V5 == V17, V16 == V23, V17 == V24, V7 == V19, V8 == V20, V19 == V26, V20 == V27, V9 == V28, V10 == V29, V11 == V30; #137 ), references = 1, size of lhs = 17:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f4-{F}(V4,V7), P_c15-{F}(V8), P_f6-{F}(V8,V1), P_c13-{F}(V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V11), p11-{F}(V12), P_f4-{F}(V12,V13), p3-{F}(V13,V11), P_f6-{F}(V14,V11) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #182: mergings( V2 == V12, V12 == V21, V3 == V13, V13 == V22, V4 == V14, V14 == V23, V5 == V15, V8 == V18, V15 == V24, V18 == V27, V29 == V30, V34 == V36, V6 == V16, V7 == V17, V16 == V25, V17 == V26, V9 == V19, V10 == V20, V19 == V28, V20 == V30, V11 == V31; #160 ), references = 2, size of lhs = 18:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1), P_c16-{F}(V2), P_f4-{F}(V1,V3), P_c18-{F}(V4), P_f6-{F}(V4,V5), P_f4-{F}(V2,V6), P_c15-{F}(V7), P_f6-{F}(V7,V8), P_c13-{F}(V9), P_f7-{F}(V9,V10), p11-{F}(V11), P_f4-{F}(V11,V12), p3-{F}(V12,V13), P_f6-{F}(V14,V13), p3-{F}(V15,V13), p10-{F}(V15,V16), p3-{F}(V16,V8) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #202: mergings( V2 == V13, V3 == V14, V4 == V15, V5 == V16, V8 == V19, V6 == V17, V7 == V18, V9 == V20, V10 == V21; #192 ), references = 1, size of lhs = 18:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_f8-{F}(V0,V2), P_c14-{F}(V3), P_c17-{F}(V4), P_c16-{F}(V5), P_f4-{F}(V4,V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V5,V9), P_c15-{F}(V10), P_f6-{F}(V10,V11), P_c13-{F}(V12), P_f7-{F}(V12,V13), p11-{F}(V14), P_f4-{F}(V14,V1), p10-{F}(V1,V15), p3-{F}(V15,V11) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #213: mergings( V2 == V12, V3 == V13, V4 == V14, V5 == V15, V8 == V18, V6 == V16, V7 == V17, V9 == V19, V10 == V20; #203 ), references = 1, size of lhs = 17:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_f4-{F}(V3,V5), P_c18-{F}(V6), P_f6-{F}(V6,V7), P_f4-{F}(V4,V8), P_c15-{F}(V9), P_f6-{F}(V9,V10), P_c13-{F}(V11), P_f7-{F}(V11,V12), p11-{F}(V13), P_f4-{F}(V13,V1), p10-{F}(V1,V14), p3-{F}(V14,V10) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #234: mergings( V2 == V13, V13 == V22, V3 == V14, V14 == V23, V4 == V15, V15 == V24, V5 == V16, V8 == V19, V16 == V25, V19 == V28, V6 == V17, V7 == V18, V17 == V26, V18 == V27, V9 == V20, V10 == V21, V20 == V29, V21 == V30; #215 ), references = 1, size of lhs = 16:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), p11-{F}(V1), P_f4-{F}(V0,V2), P_c14-{F}(V3), P_c17-{F}(V4), P_c16-{F}(V5), P_f4-{F}(V4,V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V5,V9), P_c15-{F}(V10), P_f6-{F}(V10,V11), p3-{F}(V2,V11), P_c13-{F}(V12), P_f7-{F}(V12,V13) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #258: mergings( V2 == V11, V11 == V20, V20 == V27, V3 == V12, V12 == V21, V21 == V28, V6 == V15, V15 == V24, V24 == V31, V4 == V13, V5 == V14, V13 == V22, V14 == V23, V22 == V29, V23 == V30, V7 == V16, V8 == V17, V16 == V25, V17 == V26, V25 == V32, V26 == V33; #236 ), references = 1, size of lhs = 16:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), p11-{F}(V2), P_f9-{F}(V2,V1), P_f4-{F}(V2,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_c16-{F}(V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V6,V9), P_c15-{F}(V10), P_f6-{F}(V10,V11), p3-{F}(V3,V11), P_c13-{F}(V12), P_f7-{F}(V12,V13) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #281: mergings( V2 == V11, V11 == V20, V20 == V27, V3 == V12, V12 == V21, V21 == V29, V6 == V15, V15 == V24, V24 == V32, V4 == V13, V5 == V14, V13 == V22, V14 == V23, V22 == V30, V23 == V31, V7 == V16, V8 == V17, V16 == V25, V17 == V26, V25 == V33, V26 == V34; #259 ), references = 2, size of lhs = 15:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), p11-{F}(V2), P_f9-{F}(V2,V1), P_f4-{F}(V2,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_c16-{F}(V6), P_c18-{F}(V7), P_f6-{F}(V7,V8), P_f4-{F}(V6,V9), P_c15-{F}(V10), P_f6-{F}(V10,V11), p3-{F}(V3,V11), P_c13-{F}(V12) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #304: mergings( V2 == V9, V9 == V17, V17 == V24, V3 == V10, V10 == V18, V18 == V26, V6 == V13, V13 == V21, V21 == V29, V4 == V11, V5 == V12, V11 == V19, V12 == V20, V19 == V27, V20 == V28, V7 == V14, V8 == V15, V14 == V22, V15 == V23, V22 == V30, V23 == V31; #282 ), references = 3, size of lhs = 12:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_f4-{F}(V4,V7), P_c15-{F}(V8), P_f6-{F}(V8,V9), p3-{F}(V1,V9), P_c13-{F}(V10) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #315: mergings( V2 == V6, V0 == V7, V3 == V8, V4 == V9, V5 == V10; #309 ), references = 1, size of lhs = 10:
% 0.53/0.71 p11-{F}(V0), P_c17-{F}(V0), P_c14-{F}(V1), P_c16-{F}(V2), P_c18-{F}(V3), P_f6-{F}(V3,V4), P_f4-{F}(V2,V5), P_c15-{F}(V6), P_f6-{F}(V6,V4), P_c13-{F}(V7) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #320: mergings( V2 == V5, V3 == V6, V4 == V7; #316 ), references = 1, size of lhs = 8:
% 0.53/0.71 p11-{F}(V0), P_c17-{F}(V0), P_c14-{F}(V1), P_c16-{F}(V2), P_c18-{F}(V3), P_c15-{F}(V3), P_f4-{F}(V2,V4), P_c13-{F}(V5) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #325: mergings( V2 == V5, V3 == V6, V4 == V0; #321 ), references = 1, size of lhs = 7:
% 0.53/0.71 p11-{F}(V0), P_c17-{F}(V0), P_c14-{F}(V1), P_c16-{F}(V2), P_c18-{F}(V3), P_c15-{F}(V3), P_c13-{F}(V4) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #330: mergings( V1 == V4, V2 == V5, V3 == V6; #326 ), references = 1, size of lhs = 6:
% 0.53/0.71 p11-{F}(V0), P_c17-{F}(V0), P_c14-{F}(V1), P_c16-{F}(V2), P_c18-{F}(V3), P_c15-{F}(V3) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #341: mergings( V2 == V10, V3 == V11, V4 == V12, V8 == V15, V6 == V13, V7 == V14; #333 ), references = 1, size of lhs = 11:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_f4-{F}(V3,V4), P_c16-{F}(V5), P_f4-{F}(V5,V1), P_c18-{F}(V6), P_f6-{F}(V6,V7), P_c15-{F}(V8), P_c13-{F}(V9) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #348: mergings( V2 == V12, V3 == V13, V4 == V14, V8 == V17, V6 == V15, V7 == V16; #334 ), references = 1, size of lhs = 14:
% 0.53/0.71 p11-{F}(V0), P_f9-{F}(V0,V1), p11-{F}(V2), P_f9-{F}(V2,V1), P_f4-{F}(V2,V3), P_c14-{F}(V4), P_c17-{F}(V5), P_f4-{F}(V5,V6), P_c16-{F}(V7), P_f4-{F}(V7,V3), P_c18-{F}(V8), P_f6-{F}(V8,V9), P_c15-{F}(V10), P_c13-{F}(V11) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #357: mergings( V2 == V8, V0 == V9, V3 == V10, V6 == V13, V4 == V11, V5 == V12; #349 ), references = 1, size of lhs = 10:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_f4-{F}(V4,V1), P_c18-{F}(V5), P_f6-{F}(V5,V6), P_c15-{F}(V7), P_c13-{F}(V8) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #363: mergings( V2 == V7, V3 == V8, V4 == V9, V5 == V10; #358 ), references = 1, size of lhs = 9:
% 0.53/0.71 p11-{F}(V0), P_f4-{F}(V0,V1), P_c14-{F}(V2), P_c17-{F}(V3), P_c16-{F}(V4), P_f4-{F}(V4,V1), P_c18-{F}(V5), P_c15-{F}(V6), P_c13-{F}(V7) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #367: mergings( V2 == V4, V3 == V5; #364 ), references = 1, size of lhs = 7:
% 0.53/0.71 p11-{F}(V0), P_c16-{F}(V0), P_c14-{F}(V1), P_c17-{F}(V2), P_c18-{F}(V3), P_c15-{F}(V4), P_c13-{F}(V5) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #371: mergings( V1 == V4, V2 == V5; #368 ), references = 1, size of lhs = 6:
% 0.53/0.71 p11-{F}(V0), P_c16-{F}(V0), P_c14-{F}(V1), P_c17-{F}(V2), P_c18-{F}(V3), P_c15-{F}(V4) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #375: mergings( V1 == V4, V2 == V5; #372 ), references = 1, size of lhs = 5:
% 0.53/0.71 p11-{F}(V0), P_c16-{F}(V0), P_c14-{F}(V1), P_c17-{F}(V2), P_c18-{F}(V3) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #379: mergings( V1 == V4, V2 == V5; #376 ), references = 1, size of lhs = 4:
% 0.53/0.71 p11-{F}(V0), P_c16-{F}(V0), P_c14-{F}(V1), P_c17-{F}(V2) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #386: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #381 ), references = 1, size of lhs = 2:
% 0.53/0.71 P_c14-{F}(V0), P_c17-{F}(V1) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #390: mergings( V1 == V2, V2 == V3; #387 ), references = 1, size of lhs = 1:
% 0.53/0.71 P_c14-{F}(V0) | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 #392: exists( #27, #387 ), references = 1, size of lhs = 0:
% 0.53/0.71 FALSE | FALSE
% 0.53/0.71 (used 0 times, uses = {})
% 0.53/0.71
% 0.53/0.71 number of learnt formulas = 28
% 0.53/0.71
% 0.53/0.71
% 0.53/0.71 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.53/0.71
% 0.53/0.71 randbase = 1
%------------------------------------------------------------------------------