%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN626-1 : 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 06:25:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN626-1 : 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 03:35:45 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | p11-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | p7-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | p6-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | p3-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 3, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | p2-{T}(V0,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 3, size of lhs = 2:
% 0.19/0.51 P_f12-{F}(V0,V1), P_f13-{F}(V1,V2) | p11-{T}(V2,V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 3, size of lhs = 5:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4) | p14-{T}(V2,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 4, size of lhs = 6:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), p15-{F}(V5,V6) | p16-{T}(V5,V6)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 4, size of lhs = 10:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9) | p15-{T}(V5,V9)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V10,V11), P_f12-{F}(V11,V12), p7-{F}(V12,V10) | p16-{T}(V5,V10)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V10,V12), P_f13-{F}(V11,V13), p7-{F}(V10,V11) | p11-{T}(V12,V13)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f12-{F}(V10,V12), P_f12-{F}(V11,V13), p11-{F}(V10,V11) | p7-{T}(V12,V13)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f4-{F}(V10,V12), P_f4-{F}(V11,V13), p2-{F}(V10,V11) | p3-{T}(V12,V13)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f5-{F}(V10,V12), P_f5-{F}(V11,V13), p2-{F}(V10,V11) | p2-{T}(V12,V13)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 4, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V10,V11), P_f12-{F}(V11,V12), p16-{F}(V5,V10) | p7-{T}(V12,V10)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p11-{F}(V12,V10), p11-{F}(V12,V11) | p11-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 4, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p7-{F}(V12,V10), p7-{F}(V12,V11) | p7-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p6-{F}(V12,V10), p6-{F}(V12,V11) | p6-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p3-{F}(V12,V10), p3-{F}(V12,V11) | p3-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p2-{F}(V12,V10), p2-{F}(V12,V11) | p2-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #20: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p16-{F}(V10,V11), p19-{F}(V10,V11) | p15-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p16-{F}(V10,V11), p18-{F}(V10,V11) | p15-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: input, references = 3, size of lhs = 12:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), p16-{F}(V10,V11), p17-{F}(V10,V11) | p15-{T}(V10,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: input, references = 4, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p15-{F}(V5,V11) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p15-{F}(V12,V13) | p17-{T}(V12,V13), p18-{T}(V12,V13), p19-{T}(V12,V13)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #25: input, references = 3, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p14-{F}(V12,V13), p3-{F}(V13,V14), p3-{F}(V12,V15) | p14-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #26: input, references = 3, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p19-{F}(V12,V13), p7-{F}(V13,V14), p6-{F}(V12,V15) | p19-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #27: input, references = 3, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p18-{F}(V12,V13), p7-{F}(V13,V14), p6-{F}(V12,V15) | p18-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #28: input, references = 3, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p17-{F}(V12,V13), p7-{F}(V13,V14), p6-{F}(V12,V15) | p17-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: input, references = 3, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p16-{F}(V12,V13), p7-{F}(V13,V14), p6-{F}(V12,V15) | p16-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: input, references = 4, size of lhs = 15:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), p15-{F}(V12,V13), p7-{F}(V13,V14), p6-{F}(V12,V15) | p15-{T}(V15,V14)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #31: input, references = 3, size of lhs = 13:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), P_f10-{F}(V5,V11,V12) | p3-{T}(V12,V4)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #32: input, references = 3, size of lhs = 17:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), P_f10-{F}(V5,V11,V12), p6-{F}(V13,V14), P_f8-{F}(V16,V13,V17), P_f8-{F}(V15,V14,V18), p2-{F}(V16,V15) | p7-{T}(V17,V18)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #33: input, references = 3, size of lhs = 17:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), P_f10-{F}(V5,V11,V12), p7-{F}(V13,V14), P_f10-{F}(V16,V13,V17), P_f10-{F}(V15,V14,V18), p6-{F}(V16,V15) | p3-{T}(V17,V18)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #34: input, references = 3, size of lhs = 17:
% 0.19/0.51 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8), P_f8-{F}(V1,V8,V9), P_f13-{F}(V9,V10), P_f12-{F}(V10,V11), P_f10-{F}(V5,V11,V12), p2-{F}(V13,V14), P_f9-{F}(V16,V13,V17), P_f9-{F}(V15,V14,V18), p2-{F}(V16,V15) | p6-{T}(V17,V18)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #35: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_f13-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #36: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_f12-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #37: input, references = 5, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_f4-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #38: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_f5-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #39: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_c20-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #40: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_c21-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #41: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_c22-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #42: input, references = 4, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_f8-{T}(V0,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #43: input, references = 4, size of lhs = 2:
% 0.19/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_f9-{T}(V0,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #44: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_c23-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #45: input, references = 4, size of lhs = 0:
% 0.19/0.52 FALSE | EXISTS V0: P_c24-{T}(V0)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #46: input, references = 3, size of lhs = 2:
% 0.19/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_f10-{T}(V0,V1,V2)
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of initial rules = 47
% 0.19/0.52
% 0.19/0.52 Simplifiers:
% 0.19/0.52 #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f13-{F}(V0,V1), P_f13-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f12-{F}(V0,V1), P_f12-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f4-{F}(V0,V1), P_f4-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #50: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f5-{F}(V0,V1), P_f5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #51: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c20-{F}(V0), P_c20-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #52: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c21-{F}(V0), P_c21-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #53: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c22-{F}(V0), P_c22-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #54: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f8-{F}(V0,V1,V2), P_f8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #55: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f9-{F}(V0,V1,V2), P_f9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #56: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c23-{F}(V0), P_c23-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #57: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_c24-{F}(V0), P_c24-{F}(V1), V0 == V1 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #58: unsound, references = 3, size of lhs = 3:
% 0.19/0.52 P_f10-{F}(V0,V1,V2), P_f10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of simplifiers = 12
% 0.19/0.52
% 0.19/0.52 Learnt:
% 0.19/0.52 #102: mergings( V2 == V13, V3 == V14, V4 == V15, V13 == V23, V14 == V24, V15 == V25, V23 == V33, V24 == V34, V25 == V35, V5 == V16, V6 == V17, V16 == V26, V17 == V27, V26 == V36, V27 == V37, V7 == V18, V18 == V28, V28 == V38, V8 == V19, V19 == V29, V29 == V40, V9 == V20, V10 == V21, V11 == V22, V20 == V30, V21 == V31, V22 == V32, V30 == V41, V31 == V42, V32 == V43; #71 ), references = 1, size of lhs = 15:
% 0.19/0.52 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), p16-{F}(V5,V6), P_f13-{F}(V6,V7), p6-{F}(V8,V5), p15-{F}(V8,V6), P_c23-{F}(V9), P_c24-{F}(V10), P_f9-{F}(V9,V10,V11), P_f8-{F}(V1,V11,V12), P_f13-{F}(V12,V7) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #133: mergings( V2 == V12, V3 == V13, V4 == V14, V12 == V22, V13 == V23, V14 == V24, V22 == V31, V23 == V32, V24 == V33, V5 == V15, V6 == V16, V15 == V25, V16 == V26, V25 == V34, V26 == V35, V7 == V17, V17 == V27, V27 == V36, V8 == V18, V18 == V28, V28 == V38, V9 == V19, V10 == V20, V11 == V21, V19 == V29, V20 == V30, V21 == V0, V29 == V39, V30 == V40; #103 ), references = 1, size of lhs = 13:
% 0.19/0.52 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), p16-{F}(V5,V6), p6-{F}(V7,V5), p15-{F}(V7,V6), P_c23-{F}(V8), P_c24-{F}(V9), P_f9-{F}(V8,V9,V10), P_f8-{F}(V1,V10,V6) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #169: mergings( V4 == V15, V15 == V22, V22 == V29, V29 == V36, V3 == V9, V0 == V10, V11 == V36, V9 == V14, V14 == V21, V21 == V28, V28 == V35, V5 == V12, V6 == V13, V12 == V16, V13 == V17, V16 == V23, V17 == V24, V23 == V30, V24 == V31, V30 == V37, V31 == V38, V18 == V25, V25 == V32, V32 == V39, V7 == V19, V19 == V26, V26 == V33, V33 == V40, V8 == V20, V20 == V27, V27 == V34, V34 == V41; #136 ), references = 2, size of lhs = 10:
% 0.19/0.52 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_f4-{F}(V1,V2), P_c21-{F}(V3), P_f4-{F}(V3,V4), P_c22-{F}(V5), p6-{F}(V5,V5), P_c23-{F}(V6), P_c24-{F}(V7), P_f9-{F}(V6,V7,V8) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #171: exists( #37, #169 ), references = 1, size of lhs = 9:
% 0.19/0.52 P_c20-{F}(V0), P_f5-{F}(V0,V1), P_c21-{F}(V2), P_f4-{F}(V2,V3), P_c22-{F}(V4), p6-{F}(V4,V4), P_c23-{F}(V5), P_c24-{F}(V6), P_f9-{F}(V5,V6,V7) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #173: exists( #38, #170 ), references = 1, size of lhs = 8:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1), P_f4-{F}(V1,V2), P_c22-{F}(V3), p6-{F}(V3,V3), P_c23-{F}(V4), P_c24-{F}(V5), P_f9-{F}(V4,V5,V6) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #175: exists( #37, #172 ), references = 1, size of lhs = 7:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1), P_c22-{F}(V2), p6-{F}(V2,V2), P_c23-{F}(V3), P_c24-{F}(V4), P_f9-{F}(V3,V4,V5) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #177: exists( #43, #174 ), references = 1, size of lhs = 6:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1), P_c22-{F}(V2), p6-{F}(V2,V2), P_c23-{F}(V3), P_c24-{F}(V4) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #179: exists( #45, #176 ), references = 1, size of lhs = 5:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1), P_c22-{F}(V2), p6-{F}(V2,V2), P_c23-{F}(V3) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #181: exists( #44, #178 ), references = 2, size of lhs = 4:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1), P_c22-{F}(V2), p6-{F}(V2,V2) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #184: exists( #41, #182 ), references = 1, size of lhs = 2:
% 0.19/0.52 P_c20-{F}(V0), P_c21-{F}(V1) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #186: exists( #40, #183 ), references = 1, size of lhs = 1:
% 0.19/0.52 P_c20-{F}(V0) | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 #188: exists( #39, #185 ), references = 1, size of lhs = 0:
% 0.19/0.52 FALSE | FALSE
% 0.19/0.52 (used 0 times, uses = {})
% 0.19/0.52
% 0.19/0.52 number of learnt formulas = 12
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52
% 0.19/0.52 randbase = 1
%------------------------------------------------------------------------------