%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:25:02 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN596-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 03:22:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.54/0.74 GeoParameters:
% 0.54/0.74
% 0.54/0.74 tptp_input = 1
% 0.54/0.74 tptp_output = 0
% 0.54/0.74 nonempty = 1
% 0.54/0.74 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74
% 0.54/0.74 RuleSystem INPUT:
% 0.54/0.74
% 0.54/0.74 Initial Rules:
% 0.54/0.74 #0: input, references = 4, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | p10-{T}(V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #1: input, references = 3, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | p9-{T}(V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #2: input, references = 3, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | p3-{T}(V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #3: input, references = 4, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | p2-{T}(V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #4: input, references = 3, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | p12-{T}(V0,V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #5: input, references = 3, size of lhs = 2:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1) | p16-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #6: input, references = 3, size of lhs = 4:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3) | p17-{T}(V0,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #7: input, references = 3, size of lhs = 9:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8) | p16-{T}(V7,V8)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #8: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f8-{F}(V9,V11), P_f8-{F}(V10,V12), p2-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #9: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V9,V11), P_f15-{F}(V10,V12), p2-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #10: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f4-{F}(V9,V11), P_f4-{F}(V10,V12), p2-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #11: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f5-{F}(V9,V11), P_f5-{F}(V10,V12), p3-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #12: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f6-{F}(V9,V11), P_f6-{F}(V10,V12), p3-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #13: input, references = 3, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f7-{F}(V9,V11), P_f7-{F}(V10,V12), p3-{F}(V9,V10) | p3-{T}(V11,V12)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #14: input, references = 4, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), p10-{F}(V11,V9), p10-{F}(V11,V10) | p10-{T}(V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #15: input, references = 3, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), p9-{F}(V11,V9), p9-{F}(V11,V10) | p9-{T}(V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #16: input, references = 3, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), p3-{F}(V11,V9), p3-{F}(V11,V10) | p3-{T}(V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #17: input, references = 3, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), p2-{F}(V11,V9), p2-{F}(V11,V10) | p2-{T}(V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #18: input, references = 3, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), p12-{F}(V11,V9), p12-{F}(V11,V10) | p12-{T}(V9,V10)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #19: input, references = 5, size of lhs = 15:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14) | p18-{T}(V2,V14)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #20: input, references = 5, size of lhs = 19:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p18-{F}(V2,V17) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #21: input, references = 3, size of lhs = 21:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p16-{F}(V18,V19), p3-{F}(V19,V20), p3-{F}(V18,V21) | p16-{T}(V21,V20)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #22: input, references = 4, size of lhs = 21:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p18-{F}(V18,V19), p10-{F}(V19,V20), p2-{F}(V18,V21) | p18-{T}(V21,V20)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #23: input, references = 3, size of lhs = 21:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p17-{F}(V18,V19), p3-{F}(V19,V20), p3-{F}(V18,V21) | p17-{T}(V21,V20)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #24: input, references = 3, size of lhs = 22:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p12-{F}(V18,V19), P_f13-{F}(V21,V18,V22), P_f13-{F}(V20,V19,V23), p3-{F}(V21,V20) | p2-{T}(V22,V23)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #25: input, references = 3, size of lhs = 22:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p3-{F}(V18,V19), P_f14-{F}(V21,V18,V22), P_f14-{F}(V20,V19,V23), p3-{F}(V21,V20) | p12-{T}(V22,V23)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #26: input, references = 3, size of lhs = 23:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17), p10-{F}(V18,V19), p9-{F}(V21,V20), P_f11-{F}(V23,V21,V18,V24), P_f11-{F}(V22,V20,V19,V25), p2-{F}(V23,V22) | p10-{T}(V24,V25)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #27: input, references = 4, size of lhs = 18:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f11-{F}(V11,V12,V13,V14), P_f14-{F}(V8,V1,V15), P_f13-{F}(V9,V15,V16), P_f11-{F}(V16,V12,V13,V17) | p10-{T}(V17,V14)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #28: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #29: input, references = 4, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c22-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #30: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f8-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #31: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #32: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #33: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f6-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #34: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f7-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #35: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c19-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #36: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #37: input, references = 5, size of lhs = 1:
% 0.54/0.74 #-{F} V0 | EXISTS V1: P_f15-{T}(V0,V1)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #38: input, references = 6, size of lhs = 3:
% 0.54/0.74 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_f11-{T}(V0,V1,V2,V3)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #39: input, references = 6, size of lhs = 2:
% 0.54/0.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_f13-{T}(V0,V1,V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #40: input, references = 6, size of lhs = 2:
% 0.54/0.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_f14-{T}(V0,V1,V2)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #41: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c23-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #42: input, references = 5, size of lhs = 0:
% 0.54/0.74 FALSE | EXISTS V0: P_c24-{T}(V0)
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 number of initial rules = 43
% 0.54/0.74
% 0.54/0.74 Simplifiers:
% 0.54/0.74 #43: unsound, references = 3, size of lhs = 2:
% 0.54/0.74 p9-{F}(V0,V1), V1 == V0 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #44: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #45: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #46: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f8-{F}(V0,V1), P_f8-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #47: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #48: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #49: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f6-{F}(V0,V1), P_f6-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #50: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f7-{F}(V0,V1), P_f7-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #51: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c19-{F}(V0), P_c19-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #52: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #53: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f15-{F}(V0,V1), P_f15-{F}(V0,V3), V1 == V3 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #54: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f11-{F}(V0,V1,V2,V3), P_f11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #55: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f13-{F}(V0,V1,V2), P_f13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #56: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_f14-{F}(V0,V1,V2), P_f14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #57: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c23-{F}(V0), P_c23-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #58: unsound, references = 3, size of lhs = 3:
% 0.54/0.74 P_c24-{F}(V0), P_c24-{F}(V1), V0 == V1 | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 number of simplifiers = 16
% 0.54/0.74
% 0.54/0.74 Learnt:
% 0.54/0.74 #71: mergings( V4 == V10, V5 == V11, V13 == V17, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V14 == V22, V15 == V23, V16 == V24; #60 ), references = 2, size of lhs = 16:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f14-{F}(V8,V1,V14), P_f13-{F}(V9,V14,V11) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #73: exists( #39, #71 ), references = 1, size of lhs = 14:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f14-{F}(V8,V1,V10), P_c23-{F}(V11), P_c24-{F}(V12) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #75: exists( #40, #72 ), references = 2, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f4-{F}(V1,V7), P_f15-{F}(V1,V8), P_c23-{F}(V9), P_c24-{F}(V10) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #77: exists( #37, #74 ), references = 2, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_f4-{F}(V1,V7), P_c23-{F}(V8), P_c24-{F}(V9) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #79: exists( #36, #76 ), references = 2, size of lhs = 10:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f5-{F}(V5,V6), P_c23-{F}(V7), P_c24-{F}(V8) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #83: exists( #32, #79 ), references = 1, size of lhs = 9:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #84: exists( #32, #77 ), references = 1, size of lhs = 10:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f4-{F}(V1,V6), P_c23-{F}(V7), P_c24-{F}(V8) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #85: exists( #32, #75 ), references = 1, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_f6-{F}(V4,V5), P_f4-{F}(V1,V6), P_f15-{F}(V1,V7), P_c23-{F}(V8), P_c24-{F}(V9) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #89: exists( #33, #80 ), references = 1, size of lhs = 8:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_f7-{F}(V3,V4), P_c23-{F}(V5), P_c24-{F}(V6) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #91: exists( #34, #86 ), references = 1, size of lhs = 7:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_f8-{F}(V1,V2), P_c19-{F}(V3), P_c23-{F}(V4), P_c24-{F}(V5) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #93: exists( #30, #90 ), references = 1, size of lhs = 6:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_c19-{F}(V2), P_c23-{F}(V3), P_c24-{F}(V4) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #95: exists( #42, #92 ), references = 1, size of lhs = 5:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_c19-{F}(V2), P_c23-{F}(V3) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #97: exists( #41, #94 ), references = 1, size of lhs = 4:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1), P_c19-{F}(V2) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #99: exists( #35, #96 ), references = 1, size of lhs = 3:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0), P_c20-{F}(V1) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #101: exists( #31, #98 ), references = 1, size of lhs = 2:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V0) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #147: mergings( V4 == V18, V18 == V27, V27 == V41, V5 == V19, V19 == V28, V28 == V42, V6 == V20, V7 == V21, V20 == V29, V21 == V30, V29 == V43, V30 == V45, V8 == V22, V9 == V23, V10 == V24, V11 == V25, V22 == V31, V23 == V32, V24 == V33, V25 == V34, V31 == V46, V32 == V47, V33 == V48, V34 == V49, V12 == V26, V26 == V35, V35 == V50, V13 == V36, V36 == V51, V14 == V37, V15 == V38, V16 == V39, V17 == V40, V37 == V52, V38 == V53, V39 == V54, V40 == V55; #109 ), references = 1, size of lhs = 19:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V3,V2), p18-{F}(V3,V4), P_f8-{F}(V2,V5), P_c19-{F}(V6), P_f7-{F}(V6,V7), P_f6-{F}(V7,V8), P_f5-{F}(V8,V9), P_f4-{F}(V2,V10), P_f15-{F}(V2,V11), P_f14-{F}(V10,V0,V12), P_f13-{F}(V11,V12,V13), P_c23-{F}(V14), P_c24-{F}(V15), P_f11-{F}(V13,V14,V15,V4), P_f14-{F}(V10,V1,V16), P_f13-{F}(V11,V16,V17) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #194: mergings( V4 == V15, V15 == V28, V28 == V37, V37 == V49, V5 == V16, V16 == V29, V29 == V38, V38 == V50, V6 == V17, V7 == V18, V17 == V30, V18 == V31, V30 == V39, V31 == V40, V39 == V51, V40 == V52, V8 == V19, V9 == V20, V10 == V21, V11 == V22, V19 == V32, V20 == V33, V21 == V34, V22 == V35, V32 == V41, V33 == V42, V34 == V43, V35 == V44, V41 == V53, V42 == V54, V43 == V55, V44 == V56, V12 == V23, V23 == V36, V36 == V45, V45 == V57, V13 == V24, V24 == V46, V46 == V58, V14 == V25, V25 == V47, V26 == V48, V47 == V59, V48 == V60; #149 ), references = 2, size of lhs = 17:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f14-{F}(V8,V1,V14), P_f13-{F}(V9,V14,V15) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #197: exists( #39, #194 ), references = 1, size of lhs = 16:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13), P_f14-{F}(V8,V1,V14) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #199: exists( #40, #195 ), references = 2, size of lhs = 15:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_f13-{F}(V9,V10,V11), P_c23-{F}(V12), P_c24-{F}(V13) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #201: exists( #39, #199 ), references = 1, size of lhs = 14:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_f14-{F}(V8,V0,V10), P_c23-{F}(V11), P_c24-{F}(V12) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #203: exists( #40, #200 ), references = 1, size of lhs = 13:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f5-{F}(V6,V7), P_f4-{F}(V2,V8), P_f15-{F}(V2,V9), P_c23-{F}(V10), P_c24-{F}(V11) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #205: exists( #32, #202 ), references = 1, size of lhs = 12:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f4-{F}(V2,V7), P_f15-{F}(V2,V8), P_c23-{F}(V9), P_c24-{F}(V10) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #207: exists( #37, #204 ), references = 1, size of lhs = 11:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_f4-{F}(V2,V7), P_c23-{F}(V8), P_c24-{F}(V9) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #209: exists( #36, #206 ), references = 2, size of lhs = 10:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_f6-{F}(V5,V6), P_c23-{F}(V7), P_c24-{F}(V8) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #213: exists( #33, #209 ), references = 1, size of lhs = 9:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_f7-{F}(V4,V5), P_c23-{F}(V6), P_c24-{F}(V7) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #215: exists( #34, #210 ), references = 1, size of lhs = 8:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_f8-{F}(V2,V3), P_c19-{F}(V4), P_c23-{F}(V5), P_c24-{F}(V6) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #217: exists( #30, #214 ), references = 1, size of lhs = 7:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_c19-{F}(V3), P_c23-{F}(V4), P_c24-{F}(V5) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #219: exists( #42, #216 ), references = 1, size of lhs = 6:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_c19-{F}(V3), P_c23-{F}(V4) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #221: exists( #41, #218 ), references = 1, size of lhs = 5:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2), P_c19-{F}(V3) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #223: exists( #35, #220 ), references = 2, size of lhs = 4:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1), P_c20-{F}(V2), p2-{F}(V2,V2) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #226: exists( #31, #224 ), references = 1, size of lhs = 2:
% 0.54/0.74 P_c21-{F}(V0), P_c22-{F}(V1) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #228: exists( #29, #225 ), references = 1, size of lhs = 1:
% 0.54/0.74 P_c21-{F}(V0) | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 #230: exists( #28, #227 ), references = 1, size of lhs = 0:
% 0.54/0.74 FALSE | FALSE
% 0.54/0.74 (used 0 times, uses = {})
% 0.54/0.74
% 0.54/0.74 number of learnt formulas = 33
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74
% 0.54/0.74 randbase = 1
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