TSTP Solution File: SYN587-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 0.51s 0.67s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN587-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n016.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 : Sat Jul 23 03:35:30 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.51/0.67 GeoParameters:
% 0.51/0.67
% 0.51/0.67 tptp_input = 1
% 0.51/0.67 tptp_output = 0
% 0.51/0.67 nonempty = 1
% 0.51/0.67 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.67 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.51/0.67
% 0.51/0.67
% 0.51/0.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.67
% 0.51/0.67 RuleSystem INPUT:
% 0.51/0.67
% 0.51/0.67 Initial Rules:
% 0.51/0.67 #0: input, references = 4, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | p12-{T}(V0,V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #1: input, references = 3, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | p5-{T}(V0,V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #2: input, references = 4, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | p3-{T}(V0,V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #3: input, references = 5, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | p2-{T}(V0,V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #4: input, references = 4, size of lhs = 2:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1) | p3-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #5: input, references = 4, size of lhs = 7:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p12-{F}(V3,V5) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #6: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f13-{F}(V6,V8), P_f13-{F}(V7,V9), p2-{F}(V6,V7) | p12-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #7: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f7-{F}(V6,V8), P_f7-{F}(V7,V9), p3-{F}(V6,V7) | p5-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #8: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f10-{F}(V6,V8), P_f10-{F}(V7,V9), p5-{F}(V6,V7) | p5-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #9: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f9-{F}(V6,V8), P_f9-{F}(V7,V9), p3-{F}(V6,V7) | p3-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #10: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f8-{F}(V6,V8), P_f8-{F}(V7,V9), p3-{F}(V6,V7) | p3-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #11: input, references = 3, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_f11-{F}(V6,V8), P_f11-{F}(V7,V9), p3-{F}(V6,V7) | p3-{T}(V8,V9)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #12: input, references = 3, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p12-{F}(V8,V6), p12-{F}(V8,V7) | p12-{T}(V6,V7)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #13: input, references = 3, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p5-{F}(V8,V6), p5-{F}(V8,V7) | p5-{T}(V6,V7)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #14: input, references = 4, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p3-{F}(V8,V6), p3-{F}(V8,V7) | p3-{T}(V6,V7)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #15: input, references = 3, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p2-{F}(V8,V6), p2-{F}(V8,V7) | p2-{T}(V6,V7)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #16: input, references = 4, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), p15-{F}(V6,V7), p2-{F}(V7,V8), p2-{F}(V6,V9) | p15-{T}(V9,V8)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #17: input, references = 6, size of lhs = 15:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14) | p15-{T}(V14,V2)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #18: input, references = 5, size of lhs = 17:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), p15-{F}(V15,V2) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #19: input, references = 4, size of lhs = 20:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), p3-{F}(V16,V17), P_f4-{F}(V19,V16,V20), P_f4-{F}(V18,V17,V21), p2-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #20: input, references = 3, size of lhs = 20:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), p5-{F}(V16,V17), P_f14-{F}(V19,V16,V20), P_f14-{F}(V18,V17,V21), p2-{F}(V19,V18) | p3-{T}(V20,V21)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #21: input, references = 3, size of lhs = 20:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), p2-{F}(V16,V17), P_f6-{F}(V19,V16,V20), P_f6-{F}(V18,V17,V21), p5-{F}(V19,V18) | p2-{T}(V20,V21)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #22: input, references = 4, size of lhs = 19:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), P_f11-{F}(V1,V16), P_f4-{F}(V13,V16,V17), p15-{F}(V17,V2) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #23: input, references = 3, size of lhs = 23:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), P_f11-{F}(V1,V16), P_f4-{F}(V13,V16,V17), P_f13-{F}(V18,V19), P_f10-{F}(V20,V21), P_f6-{F}(V21,V12,V22), P_f14-{F}(V18,V20,V23), P_f4-{F}(V22,V23,V24) | p12-{T}(V19,V5), p15-{T}(V24,V18)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #24: input, references = 3, size of lhs = 25:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), P_f11-{F}(V1,V16), P_f4-{F}(V13,V16,V17), P_f13-{F}(V18,V19), P_f10-{F}(V20,V21), P_f6-{F}(V21,V12,V22), P_f14-{F}(V18,V20,V23), P_f11-{F}(V23,V24), P_f4-{F}(V22,V24,V25), p15-{F}(V25,V18) | p12-{T}(V19,V5)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #25: input, references = 3, size of lhs = 29:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V1,V14), P_f4-{F}(V13,V0,V15), P_f11-{F}(V1,V16), P_f4-{F}(V13,V16,V17), P_f13-{F}(V18,V19), P_f10-{F}(V21,V22), P_f6-{F}(V22,V12,V23), P_f11-{F}(V20,V24), P_f4-{F}(V23,V24,V25), P_f4-{F}(V23,V20,V26), p15-{F}(V26,V18), P_f11-{F}(V27,V28), P_f4-{F}(V23,V28,V29), P_f4-{F}(V23,V27,V30), p15-{F}(V30,V18) | p12-{T}(V19,V5), p15-{T}(V25,V18), p3-{T}(V27,V20), p15-{T}(V29,V18)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #26: input, references = 4, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #27: input, references = 4, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c19-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #28: input, references = 8, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f13-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #29: input, references = 5, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #30: input, references = 5, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c18-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #31: input, references = 5, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #32: input, references = 5, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f10-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #33: input, references = 5, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f9-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #34: input, references = 5, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #35: input, references = 3, size of lhs = 1:
% 0.51/0.67 #-{F} V0 | EXISTS V1: P_f11-{T}(V0,V1)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #36: input, references = 6, size of lhs = 2:
% 0.51/0.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_f4-{T}(V0,V1,V2)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #37: input, references = 7, size of lhs = 2:
% 0.51/0.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_f6-{T}(V0,V1,V2)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #38: input, references = 5, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c16-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #39: input, references = 5, size of lhs = 0:
% 0.51/0.67 FALSE | EXISTS V0: P_c17-{T}(V0)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #40: input, references = 3, size of lhs = 2:
% 0.51/0.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 number of initial rules = 41
% 0.51/0.67
% 0.51/0.67 Simplifiers:
% 0.51/0.67 #41: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #42: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #43: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f13-{F}(V0,V1), P_f13-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #44: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #45: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c18-{F}(V0), P_c18-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #46: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #47: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f10-{F}(V0,V1), P_f10-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #48: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f9-{F}(V0,V1), P_f9-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #49: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #50: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f11-{F}(V0,V1), P_f11-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #51: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f4-{F}(V0,V1,V2), P_f4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #52: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f6-{F}(V0,V1,V2), P_f6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #53: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c16-{F}(V0), P_c16-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #54: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_c17-{F}(V0), P_c17-{F}(V1), V0 == V1 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #55: unsound, references = 3, size of lhs = 3:
% 0.51/0.67 P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 number of simplifiers = 15
% 0.51/0.67
% 0.51/0.67 Learnt:
% 0.51/0.67 #58: exists( #28, #56 ), references = 1, size of lhs = 4:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), P_c18-{F}(V2) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #76: mergings( V3 == V1, V14 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V10 == V22, V11 == V23, V12 == V24; #63 ), references = 2, size of lhs = 14:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V3,V11), P_f6-{F}(V6,V11,V12) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #88: mergings( V3 == V1, V14 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V10 == V22, V11 == V23, V12 == V24; #64 ), references = 2, size of lhs = 15:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_f11-{F}(V0,V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V3,V11), P_f6-{F}(V6,V11,V12) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #91: exists( #37, #76 ), references = 1, size of lhs = 13:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V3,V11) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #92: exists( #37, #88 ), references = 1, size of lhs = 14:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_f11-{F}(V0,V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10), P_f6-{F}(V10,V3,V11) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #95: exists( #37, #89 ), references = 2, size of lhs = 12:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #96: exists( #37, #90 ), references = 1, size of lhs = 13:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_f11-{F}(V0,V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #99: exists( #32, #93 ), references = 2, size of lhs = 11:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_c17-{F}(V6), P_f9-{F}(V6,V7), P_f8-{F}(V7,V8), P_f7-{F}(V8,V9) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #100: exists( #32, #94 ), references = 1, size of lhs = 12:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_f11-{F}(V0,V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_c17-{F}(V6), P_f9-{F}(V6,V7), P_f8-{F}(V7,V8), P_f7-{F}(V8,V9) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #103: exists( #28, #97 ), references = 2, size of lhs = 10:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_c16-{F}(V4), P_c17-{F}(V5), P_f9-{F}(V5,V6), P_f8-{F}(V6,V7), P_f7-{F}(V7,V8) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #107: exists( #31, #103 ), references = 1, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_c16-{F}(V4), P_c17-{F}(V5), P_f9-{F}(V5,V6), P_f8-{F}(V6,V7) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #108: exists( #31, #99 ), references = 1, size of lhs = 10:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_c17-{F}(V6), P_f9-{F}(V6,V7), P_f8-{F}(V7,V8) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #109: exists( #31, #95 ), references = 1, size of lhs = 11:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_f13-{F}(V3,V4), P_c16-{F}(V5), P_f10-{F}(V5,V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #113: exists( #34, #104 ), references = 1, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_c16-{F}(V4), P_c17-{F}(V5), P_f9-{F}(V5,V6) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #115: exists( #33, #110 ), references = 1, size of lhs = 7:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_f13-{F}(V1,V2), P_c18-{F}(V3), P_c16-{F}(V4), P_c17-{F}(V5) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #117: exists( #28, #114 ), references = 1, size of lhs = 6:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_c18-{F}(V2), P_c16-{F}(V3), P_c17-{F}(V4) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #119: exists( #39, #116 ), references = 1, size of lhs = 5:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_c18-{F}(V2), P_c16-{F}(V3) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #121: exists( #38, #118 ), references = 1, size of lhs = 4:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1), P_c18-{F}(V2) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #123: exists( #30, #120 ), references = 1, size of lhs = 3:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0), P_c20-{F}(V1) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #125: exists( #29, #122 ), references = 1, size of lhs = 2:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V0) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #165: mergings( V3 == V15, V15 == V28, V28 == V34, V29 == V1, V4 == V16, V5 == V17, V16 == V30, V17 == V31, V30 == V35, V31 == V36, V6 == V18, V7 == V19, V18 == V32, V19 == V33, V32 == V37, V33 == V38, V27 == V46, V8 == V20, V9 == V21, V20 == V39, V21 == V40, V10 == V22, V11 == V23, V12 == V24, V13 == V25, V14 == V26, V22 == V41, V23 == V42, V24 == V43, V25 == V44, V26 == V45; #132 ), references = 2, size of lhs = 19:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), P_f4-{F}(V13,V0,V14), p3-{F}(V1,V15), p2-{F}(V13,V16), P_f4-{F}(V16,V15,V14) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #167: exists( #36, #165 ), references = 2, size of lhs = 17:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), p3-{F}(V1,V0), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12), P_f6-{F}(V7,V12,V13), p2-{F}(V13,V13) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #170: exists( #37, #168 ), references = 1, size of lhs = 15:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), p3-{F}(V1,V0), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11), P_f6-{F}(V11,V4,V12) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #172: exists( #37, #169 ), references = 1, size of lhs = 14:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), p3-{F}(V1,V0), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_f10-{F}(V6,V7), P_c17-{F}(V8), P_f9-{F}(V8,V9), P_f8-{F}(V9,V10), P_f7-{F}(V10,V11) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #174: exists( #32, #171 ), references = 1, size of lhs = 13:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), p3-{F}(V1,V0), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9), P_f7-{F}(V9,V10) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #176: exists( #31, #173 ), references = 1, size of lhs = 12:
% 0.51/0.67 P_c21-{F}(V0), P_c19-{F}(V1), p3-{F}(V1,V0), P_c20-{F}(V2), p2-{F}(V2,V2), P_f13-{F}(V2,V3), P_c18-{F}(V4), P_f13-{F}(V4,V5), P_c16-{F}(V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #183: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V10; #178 ), references = 1, size of lhs = 12:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_f13-{F}(V3,V4), P_c18-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7), P_f9-{F}(V7,V8), P_f8-{F}(V8,V9) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #189: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V10; #184 ), references = 1, size of lhs = 11:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_f13-{F}(V3,V4), P_c18-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7), P_f9-{F}(V7,V8) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #195: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V10; #190 ), references = 1, size of lhs = 10:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_f13-{F}(V3,V4), P_c18-{F}(V5), P_c16-{F}(V6), P_c17-{F}(V7) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #199: mergings( V2 == V4, V3 == V6; #196 ), references = 1, size of lhs = 9:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_c18-{F}(V4), P_c16-{F}(V5), P_c17-{F}(V6) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #203: mergings( V1 == V3, V2 == V5; #200 ), references = 1, size of lhs = 8:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_c18-{F}(V4), P_c16-{F}(V5) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #207: mergings( V1 == V3, V2 == V5; #204 ), references = 1, size of lhs = 7:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3), P_c18-{F}(V4) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #211: mergings( V1 == V3, V2 == V5; #208 ), references = 2, size of lhs = 6:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2), P_c20-{F}(V3), p2-{F}(V3,V3) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #214: exists( #29, #212 ), references = 1, size of lhs = 4:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V1,V0), p3-{F}(V1,V2), P_c19-{F}(V2) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #218: mergings( V1 == V2; #216 ), references = 1, size of lhs = 2:
% 0.51/0.67 P_c21-{F}(V0), p3-{F}(V0,V0) | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 #221: exists( #26, #219 ), references = 1, size of lhs = 0:
% 0.51/0.67 FALSE | FALSE
% 0.51/0.67 (used 0 times, uses = {})
% 0.51/0.67
% 0.51/0.67 number of learnt formulas = 36
% 0.51/0.67
% 0.51/0.67
% 0.51/0.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.51/0.67
% 0.51/0.67 randbase = 1
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