%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:20:51 EDT 2022
% Result : Unsatisfiable 1.07s 1.24s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n010.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 : Fri Jul 22 14:37:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.07/1.24 GeoParameters:
% 1.07/1.24
% 1.07/1.24 tptp_input = 1
% 1.07/1.24 tptp_output = 0
% 1.07/1.24 nonempty = 1
% 1.07/1.24 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.24 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.07/1.24
% 1.07/1.24
% 1.07/1.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.24 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.24
% 1.07/1.24 RuleSystem INPUT:
% 1.07/1.24
% 1.07/1.24 Initial Rules:
% 1.07/1.24 #0: input, references = 4, size of lhs = 3:
% 1.07/1.24 P_successor-{F}(V0,V1), P_predecessor-{F}(V1,V2), V2 == V0 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #1: input, references = 4, size of lhs = 3:
% 1.07/1.24 P_predecessor-{F}(V0,V1), P_successor-{F}(V1,V2), V2 == V0 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #2: input, references = 3, size of lhs = 3:
% 1.07/1.24 P_predecessor-{F}(V0,V3), P_predecessor-{F}(V1,V3), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #3: input, references = 3, size of lhs = 3:
% 1.07/1.24 P_successor-{F}(V0,V3), P_successor-{F}(V1,V3), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #4: input, references = 3, size of lhs = 1:
% 1.07/1.24 P_predecessor-{F}(V0,V1) | less_than-{T}(V1,V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #5: input, references = 3, size of lhs = 1:
% 1.07/1.24 P_successor-{F}(V0,V1) | less_than-{T}(V0,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #6: input, references = 8, size of lhs = 2:
% 1.07/1.24 less_than-{F}(V0,V1), less_than-{F}(V2,V0) | less_than-{T}(V2,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #7: input, references = 8, size of lhs = 3:
% 1.07/1.24 #-{F} V0, #-{F} V1, V0 == V1 | less_than-{T}(V0,V1), less_than-{T}(V1,V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #8: input, references = 5, size of lhs = 1:
% 1.07/1.24 less_than-{F}(V0,V0) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #9: input, references = 8, size of lhs = 2:
% 1.07/1.24 less_than-{F}(V0,V1), less_than-{F}(V1,V0) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #10: input, references = 3, size of lhs = 3:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), less_than-{F}(V0,V1) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #11: input, references = 4, size of lhs = 3:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2) | less_than-{T}(V2,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #12: input, references = 4, size of lhs = 5:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V2,V3) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #13: input, references = 4, size of lhs = 4:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3) | less_than-{T}(V3,V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #14: input, references = 8, size of lhs = 6:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5) | less_than-{T}(V4,V5)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #15: input, references = 8, size of lhs = 9:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_a-{F}(V6,V7), less_than-{F}(V6,V1), less_than-{F}(V7,V5) | less_than-{T}(V6,V3)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #16: input, references = 3, size of lhs = 12:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), less_than-{F}(V6,V3), P_a-{F}(V9,V10), less_than-{F}(V10,V8) | less_than-{T}(V9,V3), less_than-{T}(V0,V9)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #17: input, references = 3, size of lhs = 15:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), P_a-{F}(V9,V10), P_predecessor-{F}(V9,V11), P_a-{F}(V11,V12), less_than-{F}(V6,V9), less_than-{F}(V9,V3), less_than-{F}(V10,V12) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #18: input, references = 5, size of lhs = 11:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), P_q-{F}(V9), less_than-{F}(V9,V3) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #19: input, references = 4, size of lhs = 11:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), P_q-{F}(V9), less_than-{F}(V1,V9) | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #20: input, references = 8, size of lhs = 11:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_a-{F}(V7,V8), P_q-{F}(V9), P_a-{F}(V9,V10) | less_than-{T}(V10,V4)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #21: input, references = 8, size of lhs = 1:
% 1.07/1.24 #-{F} V0 | EXISTS V1: P_predecessor-{T}(V0,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #22: input, references = 4, size of lhs = 1:
% 1.07/1.24 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #23: input, references = 4, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_n-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #24: input, references = 4, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_j-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #25: input, references = 5, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_k-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #26: input, references = 5, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_i-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #27: input, references = 24, size of lhs = 1:
% 1.07/1.24 #-{F} V0 | EXISTS V1: P_a-{T}(V0,V1)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #28: input, references = 6, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_one-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #29: input, references = 6, size of lhs = 0:
% 1.07/1.24 FALSE | EXISTS V0: P_q-{T}(V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 number of initial rules = 30
% 1.07/1.24
% 1.07/1.24 Simplifiers:
% 1.07/1.24 #30: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_predecessor-{F}(V0,V1), P_predecessor-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #31: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #32: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #33: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_j-{F}(V0), P_j-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #34: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #35: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_i-{F}(V0), P_i-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #36: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_a-{F}(V0,V1), P_a-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #37: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #38: unsound, references = 3, size of lhs = 3:
% 1.07/1.24 P_q-{F}(V0), P_q-{F}(V1), V0 == V1 | FALSE
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 number of simplifiers = 9
% 1.07/1.24
% 1.07/1.24 Learnt:
% 1.07/1.24 #45: exists( #22, #1 ), references = 1, size of lhs = 1:
% 1.07/1.24 P_predecessor-{F}(V0,V1) | P_successor-{T}(V1,V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #47: exists( #21, #0 ), references = 1, size of lhs = 1:
% 1.07/1.24 P_successor-{F}(V0,V1) | P_predecessor-{T}(V1,V0)
% 1.07/1.24 (used 0 times, uses = {})
% 1.07/1.24
% 1.07/1.24 #62: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #57 ), references = 3, size of lhs = 9:
% 1.07/1.24 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), less_than-{F}(V3,V5), less_than-{F}(V5,V1), P_a-{F}(V5,V6), less_than-{F}(V6,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #73: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #68 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), less_than-{F}(V3,V5), less_than-{F}(V5,V1), P_a-{F}(V5,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #87: exists( #27, #83 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_q-{F}(V8), P_a-{F}(V8,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #88: exists( #27, #84 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_q-{F}(V8), P_a-{F}(V8,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #91: exists( #27, #85 ), references = 1, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_q-{F}(V7), P_a-{F}(V7,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #92: exists( #27, #86 ), references = 1, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_q-{F}(V7), P_a-{F}(V7,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #95: exists( #21, #89 ), references = 2, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), P_a-{F}(V6,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #96: exists( #21, #90 ), references = 2, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), P_a-{F}(V6,V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #99: exists( #27, #93 ), references = 4, size of lhs = 6:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_q-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_one-{F}(V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #123: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V6, V6 == V14, V7 == V15, V8 == V16, V9 == V10; #112 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_i-{F}(V0), P_predecessor-{F}(V0,V1), P_q-{F}(V2), P_a-{F}(V2,V2), P_n-{F}(V3), P_j-{F}(V4), P_a-{F}(V4,V0), P_k-{F}(V5), P_a-{F}(V5,V6), P_one-{F}(V7) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #124: exists( #27, #110 ), references = 1, size of lhs = 11:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_q-{F}(V8), P_a-{F}(V8,V9), less_than-{F}(V4,V9) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #129: mergings( V2 == V11, V3 == V12, V4 == V13, V5 == V14; #114 ), references = 1, size of lhs = 13:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_a-{F}(V1,V2), P_n-{F}(V3), P_j-{F}(V4), P_a-{F}(V4,V5), P_k-{F}(V6), P_a-{F}(V6,V7), P_i-{F}(V8), P_predecessor-{F}(V8,V9), less_than-{F}(V8,V10), less_than-{F}(V10,V4), P_a-{F}(V10,V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #139: mergings( V2 == V10, V3 == V11, V4 == V5, V5 == V12, V6 == V13, V8 == V9; #130 ), references = 1, size of lhs = 9:
% 1.07/1.25 P_i-{F}(V0), P_predecessor-{F}(V0,V1), P_q-{F}(V2), P_a-{F}(V2,V2), P_n-{F}(V3), P_j-{F}(V4), P_a-{F}(V4,V0), P_k-{F}(V5), P_one-{F}(V6) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #140: exists( #27, #113 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_q-{F}(V7), P_a-{F}(V7,V8), less_than-{F}(V4,V8) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #145: mergings( V2 == V10, V3 == V11, V0 == V12, V4 == V13; #132 ), references = 1, size of lhs = 12:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_a-{F}(V1,V2), P_n-{F}(V3), P_j-{F}(V4), P_a-{F}(V4,V5), P_k-{F}(V6), P_i-{F}(V7), P_predecessor-{F}(V7,V8), less_than-{F}(V7,V9), less_than-{F}(V9,V4), P_a-{F}(V9,V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #154: mergings( V2 == V7, V3 == V8, V0 == V10, V4 == V11, V5 == V6; #146 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_i-{F}(V0), P_q-{F}(V1), P_a-{F}(V1,V1), P_n-{F}(V2), P_j-{F}(V3), P_a-{F}(V3,V0), P_k-{F}(V4), P_one-{F}(V5) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #155: exists( #21, #131 ), references = 2, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), P_a-{F}(V6,V7), less_than-{F}(V4,V7) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #160: mergings( V2 == V9, V3 == V10, V4 == V11, V0 == V12; #148 ), references = 1, size of lhs = 11:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_a-{F}(V1,V2), P_n-{F}(V3), P_j-{F}(V4), P_a-{F}(V4,V5), P_k-{F}(V6), P_i-{F}(V7), less_than-{F}(V7,V8), less_than-{F}(V8,V4), P_a-{F}(V8,V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #165: mergings( V2 == V8, V3 == V9, V4 == V10; #161 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_a-{F}(V1,V2), P_n-{F}(V3), P_j-{F}(V4), P_k-{F}(V5), P_i-{F}(V6), less_than-{F}(V6,V7), less_than-{F}(V7,V4), P_a-{F}(V7,V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #170: mergings( V2 == V6, V3 == V8, V4 == V9; #166 ), references = 2, size of lhs = 8:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), less_than-{F}(V1,V3), P_k-{F}(V4), P_i-{F}(V5), less_than-{F}(V5,V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #182: disj( #7, exists( #21, #131 ) ), references = 4, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), P_a-{F}(V6,V7), V7 == V4 | less_than-{T}(V7,V4)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #195: exists( #27, #19 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_a-{F}(V2,V5), P_one-{F}(V6), P_predecessor-{F}(V3,V7), P_q-{F}(V8), less_than-{F}(V1,V8) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #197: exists( #27, #194 ), references = 1, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_q-{F}(V7), less_than-{F}(V1,V7) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #199: exists( #21, #196 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), less_than-{F}(V1,V6) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #201: disj( #7, exists( #21, #196 ) ), references = 1, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), V6 == V1 | less_than-{T}(V6,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #212: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V6; #205 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), V1 == V3, P_k-{F}(V4), P_i-{F}(V5), less_than-{F}(V5,V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #220: exists( #27, #18 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_a-{F}(V6,V7), P_q-{F}(V8), less_than-{F}(V8,V3) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #222: exists( #27, #219 ), references = 1, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_one-{F}(V4), P_predecessor-{F}(V3,V5), P_a-{F}(V5,V6), P_q-{F}(V7), less_than-{F}(V7,V3) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #224: exists( #27, #221 ), references = 2, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_one-{F}(V4), P_predecessor-{F}(V3,V5), P_q-{F}(V6), less_than-{F}(V6,V3) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #249: disj( #7, mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V6; #205 ) ), references = 3, size of lhs = 8:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), V1 == V3, P_k-{F}(V4), P_i-{F}(V5), V1 == V5 | less_than-{T}(V1,V5)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #261: exists( #21, #224 ), references = 4, size of lhs = 7:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_one-{F}(V4), P_q-{F}(V5), less_than-{F}(V5,V3) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #268: mergings( V2 == V5, V3 == V6, V4 == V7, V1 == V9; #263 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_one-{F}(V4) | P_q-{T}(V1), P_q-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #282: mergings( V2 == V6, V3 == V7, V0 == V8, V4 == V9; #276 ), references = 1, size of lhs = 7:
% 1.07/1.25 P_q-{F}(V0), P_k-{F}(V0), P_n-{F}(V1), P_j-{F}(V2), P_a-{F}(V2,V3), P_i-{F}(V4), P_one-{F}(V5) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #287: mergings( V2 == V5, V3 == V6, V4 == V7; #283 ), references = 1, size of lhs = 6:
% 1.07/1.25 P_q-{F}(V0), P_k-{F}(V0), P_n-{F}(V1), P_j-{F}(V2), P_i-{F}(V3), P_one-{F}(V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #301: mergings( V1 == V4, V4 == V9, V9 == V11, V2 == V5, V5 == V12, V3 == V6, V6 == V7, V7 == V13, V13 == V10, V10 == V14, V0 == V8, V8 == V15; #288 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V2), P_one-{F}(V3) | P_q-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #317: mergings( V1 == V3, V3 == V7, V7 == V9, V9 == V13, V4 == V10, V10 == V14, V2 == V5, V5 == V6, V6 == V11, V11 == V15, V15 == V8, V8 == V12, V12 == V16; #303 ), references = 1, size of lhs = 4:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V2) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #329: disj( #7, #6+#62 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), less_than-{F}(V3,V5), less_than-{F}(V5,V1), P_a-{F}(V5,V6), less_than-{F}(V6,V7), V7 == V4 | less_than-{T}(V4,V7)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #356: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V0, V6 == V11; #348 ), references = 3, size of lhs = 10:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_i-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), less_than-{F}(V1,V3), P_k-{F}(V4), P_a-{F}(V3,V5), P_a-{F}(V4,V6), less_than-{F}(V5,V6) | P_a-{T}(V1,V5)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #362: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V0, V6 == V11; #349 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_i-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), less_than-{F}(V1,V3), P_k-{F}(V4), P_a-{F}(V3,V5), P_a-{F}(V4,V6), less_than-{F}(V5,V6) | P_a-{T}(V1,V5)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #372: mergings( V2 == V8, V8 == V13, V3 == V9, V9 == V14, V4 == V10, V10 == V15, V5 == V16, V6 == V11, V7 == V17; #350 ), references = 1, size of lhs = 10:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_a-{F}(V1,V2), less_than-{F}(V2,V3), P_k-{F}(V4), P_a-{F}(V4,V3), P_i-{F}(V5), P_one-{F}(V6), P_q-{F}(V7), less_than-{F}(V7,V1) | P_a-{T}(V7,V2)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #391: mergings( V2 == V8, V8 == V10, V3 == V9, V9 == V11, V0 == V12, V4 == V7, V7 == V13, V6 == V14; #381 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_q-{F}(V0), P_i-{F}(V0), less_than-{F}(V0,V1), P_j-{F}(V1), P_n-{F}(V2), P_a-{F}(V1,V3), P_k-{F}(V4), P_one-{F}(V5) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #400: mergings( V2 == V8, V8 == V10, V3 == V9, V9 == V11, V0 == V12, V4 == V7, V7 == V13, V6 == V14; #382 ), references = 1, size of lhs = 8:
% 1.07/1.25 P_q-{F}(V0), P_i-{F}(V0), less_than-{F}(V0,V1), P_j-{F}(V1), P_n-{F}(V2), P_a-{F}(V1,V3), P_k-{F}(V4), P_one-{F}(V5) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #409: mergings( V2 == V6, V6 == V8, V7 == V9, V3 == V5, V5 == V10, V4 == V11; #401 ), references = 1, size of lhs = 7:
% 1.07/1.25 P_q-{F}(V0), P_i-{F}(V0), less_than-{F}(V0,V1), P_j-{F}(V1), P_n-{F}(V2), P_k-{F}(V3), P_one-{F}(V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #426: mergings( V1 == V4, V4 == V9, V9 == V12, V12 == V15, V2 == V5, V5 == V13, V3 == V6, V6 == V14, V14 == V16, V10 == V7, V7 == V17, V0 == V8, V8 == V11, V11 == V18; #410 ), references = 1, size of lhs = 6:
% 1.07/1.25 P_j-{F}(V0), P_n-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V0), P_one-{F}(V4) | P_q-{T}(V0)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #449: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V12, V12 == V15, V4 == V10, V10 == V16, V2 == V5, V5 == V11, V11 == V13, V13 == V17, V7 == V8, V8 == V14, V14 == V18; #434 ), references = 2, size of lhs = 5:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), less_than-{F}(V3,V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #466: mergings( V1 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V2, V2 == V7, V7 == V15, V3 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V16; #451 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V0), P_k-{F}(V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #477: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V2, V2 == V5, V5 == V10; #467 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #496: disj( #7, exists( #21, #196 ) ), references = 1, size of lhs = 8:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_q-{F}(V6), V6 == V1 | less_than-{T}(V6,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #497: disj( #7, exists( #27, #194 ) ), references = 1, size of lhs = 9:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), P_a-{F}(V1,V4), P_one-{F}(V5), P_predecessor-{F}(V3,V6), P_q-{F}(V7), V7 == V1 | less_than-{T}(V7,V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #507: mergings( V2 == V7, V3 == V8, V4 == V6; #501 ), references = 1, size of lhs = 7:
% 1.07/1.25 P_one-{F}(V0), P_q-{F}(V1), P_i-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), V1 == V3, P_k-{F}(V4) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #519: mergings( V1 == V4, V4 == V10, V2 == V5, V5 == V11, V3 == V6, V6 == V12, V0 == V8, V8 == V9; #510 ), references = 1, size of lhs = 6:
% 1.07/1.25 P_one-{F}(V0), P_i-{F}(V1), P_n-{F}(V2), P_j-{F}(V3), V1 == V3, P_k-{F}(V4) | P_q-{T}(V3)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #531: mergings( V1 == V3, V3 == V7, V7 == V10, V4 == V8, V8 == V11, V2 == V5, V5 == V9, V9 == V12, V6 == V13; #521 ), references = 1, size of lhs = 5:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2), P_i-{F}(V3), V3 == V1 | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #541: mergings( V1 == V3, V3 == V6, V6 == V9, V4 == V7, V7 == V10, V2 == V5, V5 == V8, V8 == V11; #532 ), references = 1, size of lhs = 3:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1), P_k-{F}(V2) | P_i-{T}(V1)
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #553: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #544 ), references = 1, size of lhs = 2:
% 1.07/1.25 P_n-{F}(V0), P_j-{F}(V1) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #560: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #554 ), references = 1, size of lhs = 1:
% 1.07/1.25 P_n-{F}(V0) | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 #562: exists( #23, #554 ), references = 1, size of lhs = 0:
% 1.07/1.25 FALSE | FALSE
% 1.07/1.25 (used 0 times, uses = {})
% 1.07/1.25
% 1.07/1.25 number of learnt formulas = 58
% 1.07/1.25
% 1.07/1.25
% 1.07/1.25 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.25
% 1.07/1.25 randbase = 1
%------------------------------------------------------------------------------