%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYO613-1 : TPTP v8.1.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:26:31 EDT 2022
% Result : Unsatisfiable 4.74s 4.93s
% Output : Refutation 4.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO613-1 : TPTP v8.1.0. Released v7.1.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jul 23 00:53:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.74/4.93 GeoParameters:
% 4.74/4.93
% 4.74/4.93 tptp_input = 1
% 4.74/4.93 tptp_output = 0
% 4.74/4.93 nonempty = 1
% 4.74/4.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.74/4.93
% 4.74/4.93
% 4.74/4.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.93
% 4.74/4.93 RuleSystem INPUT:
% 4.74/4.93
% 4.74/4.93 Initial Rules:
% 4.74/4.93 #0: input, references = 14, size of lhs = 1:
% 4.74/4.93 #-{F} V0 | le-{T}(V0,V0)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #1: input, references = 3, size of lhs = 2:
% 4.74/4.93 P_max-{F}(V0,V2,V3), le-{F}(V3,V1) | le-{T}(V0,V1)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #2: input, references = 3, size of lhs = 2:
% 4.74/4.93 P_max-{F}(V2,V0,V3), le-{F}(V3,V1) | le-{T}(V0,V1)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #3: input, references = 15, size of lhs = 2:
% 4.74/4.93 P_a0-{F}(V0), P_f-{F}(V1,V2) | eq-{T}(V2,V0)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #4: input, references = 4, size of lhs = 47:
% 4.74/4.93 P_a0-{F}(V0), P_f-{F}(V1,V2), P_s-{F}(V1,V3), eq-{F}(V2,V0), P_f-{F}(V4,V5), eq-{F}(V5,V0), le-{F}(V3,V4), P_f-{F}(V6,V7), P_s-{F}(V6,V8), eq-{F}(V7,V0), le-{F}(V8,V1), P_f-{F}(V9,V10), P_s-{F}(V9,V11), eq-{F}(V10,V0), le-{F}(V11,V6), P_f-{F}(V12,V13), P_s-{F}(V12,V14), eq-{F}(V13,V0), le-{F}(V14,V9), P_f-{F}(V15,V16), P_s-{F}(V15,V17), eq-{F}(V16,V0), le-{F}(V17,V12), P_f-{F}(V18,V19), P_s-{F}(V18,V20), eq-{F}(V19,V0), le-{F}(V20,V15), P_f-{F}(V21,V22), P_s-{F}(V21,V23), eq-{F}(V22,V0), le-{F}(V23,V18), P_f-{F}(V24,V25), P_s-{F}(V24,V26), eq-{F}(V25,V0), le-{F}(V26,V21), P_f-{F}(V27,V28), P_s-{F}(V27,V29), eq-{F}(V28,V0), le-{F}(V29,V24), P_f-{F}(V30,V31), P_s-{F}(V30,V32), eq-{F}(V31,V0), le-{F}(V32,V27), P_f-{F}(V33,V34), P_s-{F}(V33,V35), eq-{F}(V34,V0), le-{F}(V35,V30) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #5: input, references = 3, size of lhs = 2:
% 4.74/4.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_max-{T}(V0,V1,V2)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #6: input, references = 15, size of lhs = 1:
% 4.74/4.93 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #7: input, references = 4, size of lhs = 0:
% 4.74/4.93 FALSE | EXISTS V0: P_a0-{T}(V0)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #8: input, references = 14, size of lhs = 1:
% 4.74/4.93 #-{F} V0 | EXISTS V1: P_s-{T}(V0,V1)
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 number of initial rules = 9
% 4.74/4.93
% 4.74/4.93 Simplifiers:
% 4.74/4.93 #9: unsound, references = 3, size of lhs = 3:
% 4.74/4.93 eq-{F}(V0,V1), eq-{F}(V2,V3), V1 == V3 | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #10: unsound, references = 3, size of lhs = 3:
% 4.74/4.93 P_max-{F}(V0,V1,V2), P_max-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #11: unsound, references = 3, size of lhs = 3:
% 4.74/4.93 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #12: unsound, references = 3, size of lhs = 3:
% 4.74/4.93 P_a0-{F}(V0), P_a0-{F}(V1), V0 == V1 | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #13: unsound, references = 3, size of lhs = 3:
% 4.74/4.93 P_s-{F}(V0,V1), P_s-{F}(V0,V3), V1 == V3 | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 number of simplifiers = 5
% 4.74/4.93
% 4.74/4.93 Learnt:
% 4.74/4.93 #50: exists( #6, #48 ), references = 1, size of lhs = 45:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15), eq-{F}(V20,V0), P_f-{F}(V21,V20), P_s-{F}(V21,V22), le-{F}(V22,V18), eq-{F}(V23,V0), P_f-{F}(V24,V23), P_s-{F}(V24,V25), le-{F}(V25,V21), eq-{F}(V26,V0), P_f-{F}(V27,V26), P_s-{F}(V27,V28), le-{F}(V28,V24), eq-{F}(V29,V0), P_f-{F}(V30,V29), P_s-{F}(V30,V31), le-{F}(V31,V27), eq-{F}(V32,V0), P_f-{F}(V33,V32), P_s-{F}(V33,V34), le-{F}(V34,V30) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #53: exists( #8, #51 ), references = 2, size of lhs = 43:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13), eq-{F}(V18,V0), P_f-{F}(V19,V18), P_s-{F}(V19,V20), le-{F}(V20,V16), eq-{F}(V21,V0), P_f-{F}(V22,V21), P_s-{F}(V22,V23), le-{F}(V23,V19), eq-{F}(V24,V0), P_f-{F}(V25,V24), P_s-{F}(V25,V26), le-{F}(V26,V22), eq-{F}(V27,V0), P_f-{F}(V28,V27), P_s-{F}(V28,V29), le-{F}(V29,V25), eq-{F}(V30,V0), P_f-{F}(V31,V30), P_s-{F}(V31,V32), le-{F}(V32,V28) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #56: exists( #6, #54 ), references = 1, size of lhs = 41:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15), eq-{F}(V20,V0), P_f-{F}(V21,V20), P_s-{F}(V21,V22), le-{F}(V22,V18), eq-{F}(V23,V0), P_f-{F}(V24,V23), P_s-{F}(V24,V25), le-{F}(V25,V21), eq-{F}(V26,V0), P_f-{F}(V27,V26), P_s-{F}(V27,V28), le-{F}(V28,V24), eq-{F}(V29,V0), P_f-{F}(V30,V29), P_s-{F}(V30,V31), le-{F}(V31,V27) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #59: exists( #8, #57 ), references = 1, size of lhs = 39:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13), eq-{F}(V18,V0), P_f-{F}(V19,V18), P_s-{F}(V19,V20), le-{F}(V20,V16), eq-{F}(V21,V0), P_f-{F}(V22,V21), P_s-{F}(V22,V23), le-{F}(V23,V19), eq-{F}(V24,V0), P_f-{F}(V25,V24), P_s-{F}(V25,V26), le-{F}(V26,V22), eq-{F}(V27,V0), P_f-{F}(V28,V27), P_s-{F}(V28,V29), le-{F}(V29,V25) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #62: exists( #6, #60 ), references = 1, size of lhs = 37:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15), eq-{F}(V20,V0), P_f-{F}(V21,V20), P_s-{F}(V21,V22), le-{F}(V22,V18), eq-{F}(V23,V0), P_f-{F}(V24,V23), P_s-{F}(V24,V25), le-{F}(V25,V21), eq-{F}(V26,V0), P_f-{F}(V27,V26), P_s-{F}(V27,V28), le-{F}(V28,V24) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #65: exists( #8, #63 ), references = 1, size of lhs = 35:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13), eq-{F}(V18,V0), P_f-{F}(V19,V18), P_s-{F}(V19,V20), le-{F}(V20,V16), eq-{F}(V21,V0), P_f-{F}(V22,V21), P_s-{F}(V22,V23), le-{F}(V23,V19), eq-{F}(V24,V0), P_f-{F}(V25,V24), P_s-{F}(V25,V26), le-{F}(V26,V22) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #68: exists( #6, #66 ), references = 1, size of lhs = 33:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15), eq-{F}(V20,V0), P_f-{F}(V21,V20), P_s-{F}(V21,V22), le-{F}(V22,V18), eq-{F}(V23,V0), P_f-{F}(V24,V23), P_s-{F}(V24,V25), le-{F}(V25,V21) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #71: exists( #8, #69 ), references = 1, size of lhs = 31:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13), eq-{F}(V18,V0), P_f-{F}(V19,V18), P_s-{F}(V19,V20), le-{F}(V20,V16), eq-{F}(V21,V0), P_f-{F}(V22,V21), P_s-{F}(V22,V23), le-{F}(V23,V19) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #74: exists( #6, #72 ), references = 1, size of lhs = 29:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15), eq-{F}(V20,V0), P_f-{F}(V21,V20), P_s-{F}(V21,V22), le-{F}(V22,V18) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #77: exists( #8, #75 ), references = 1, size of lhs = 27:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13), eq-{F}(V18,V0), P_f-{F}(V19,V18), P_s-{F}(V19,V20), le-{F}(V20,V16) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #80: exists( #6, #78 ), references = 1, size of lhs = 25:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12), eq-{F}(V17,V0), P_f-{F}(V18,V17), P_s-{F}(V18,V19), le-{F}(V19,V15) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #83: exists( #8, #81 ), references = 2, size of lhs = 23:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10), eq-{F}(V15,V0), P_f-{F}(V16,V15), P_s-{F}(V16,V17), le-{F}(V17,V13) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #86: exists( #6, #84 ), references = 1, size of lhs = 21:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9), eq-{F}(V14,V0), P_f-{F}(V15,V14), P_s-{F}(V15,V16), le-{F}(V16,V12) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #89: exists( #8, #87 ), references = 2, size of lhs = 19:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7), eq-{F}(V12,V0), P_f-{F}(V13,V12), P_s-{F}(V13,V14), le-{F}(V14,V10) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #92: exists( #6, #90 ), references = 1, size of lhs = 17:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6), eq-{F}(V11,V0), P_f-{F}(V12,V11), P_s-{F}(V12,V13), le-{F}(V13,V9) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #95: exists( #8, #93 ), references = 2, size of lhs = 15:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4), eq-{F}(V9,V0), P_f-{F}(V10,V9), P_s-{F}(V10,V11), le-{F}(V11,V7) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #98: exists( #6, #96 ), references = 1, size of lhs = 13:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2), eq-{F}(V8,V0), P_f-{F}(V9,V8), P_s-{F}(V9,V10), le-{F}(V10,V6) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #101: exists( #8, #99 ), references = 2, size of lhs = 11:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2), eq-{F}(V6,V0), P_f-{F}(V7,V6), P_s-{F}(V7,V8), le-{F}(V8,V4) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #104: exists( #6, #102 ), references = 2, size of lhs = 9:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4), eq-{F}(V5,V0), P_f-{F}(V6,V5), P_s-{F}(V6,V7), le-{F}(V7,V2) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #107: exists( #8, #105 ), references = 2, size of lhs = 7:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), eq-{F}(V3,V0), P_f-{F}(V4,V3), P_s-{F}(V4,V5), le-{F}(V5,V2) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #110: exists( #6, #108 ), references = 1, size of lhs = 5:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1), P_s-{F}(V2,V3), le-{F}(V3,V4) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #113: exists( #8, #111 ), references = 1, size of lhs = 3:
% 4.74/4.93 P_a0-{F}(V0), eq-{F}(V1,V0), P_f-{F}(V2,V1) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #116: exists( #6, #114 ), references = 1, size of lhs = 1:
% 4.74/4.93 P_a0-{F}(V0) | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 #118: exists( #7, #115 ), references = 1, size of lhs = 0:
% 4.74/4.93 FALSE | FALSE
% 4.74/4.93 (used 0 times, uses = {})
% 4.74/4.93
% 4.74/4.93 number of learnt formulas = 24
% 4.74/4.93
% 4.74/4.93
% 4.74/4.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.74/4.93
% 4.74/4.93 randbase = 1
%------------------------------------------------------------------------------