%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:23:28 EDT 2022
% Result : Unsatisfiable 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN015-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 03:43:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.60/0.76 GeoParameters:
% 0.60/0.76
% 0.60/0.76 tptp_input = 1
% 0.60/0.76 tptp_output = 0
% 0.60/0.76 nonempty = 1
% 0.60/0.76 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.60/0.76
% 0.60/0.76
% 0.60/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76
% 0.60/0.76 RuleSystem INPUT:
% 0.60/0.76
% 0.60/0.76 Initial Rules:
% 0.60/0.76 #0: input, references = 5, size of lhs = 1:
% 0.60/0.76 #-{F} V0 | equalish-{T}(V0,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #1: input, references = 19, size of lhs = 1:
% 0.60/0.76 equalish-{F}(V0,V1) | equalish-{T}(V1,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #2: input, references = 14, size of lhs = 2:
% 0.60/0.76 equalish-{F}(V0,V1), equalish-{F}(V2,V0) | equalish-{T}(V2,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #3: input, references = 7, size of lhs = 2:
% 0.60/0.76 equalish-{F}(V2,V0), element-{F}(V1,V2) | element-{T}(V1,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #4: input, references = 4, size of lhs = 2:
% 0.60/0.76 element-{F}(V2,V0), equalish-{F}(V2,V1) | element-{T}(V1,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #5: input, references = 4, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), element-{F}(V2,V0) | equalish-{T}(V2,V1), equalish-{T}(V2,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #6: input, references = 4, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), equalish-{F}(V2,V1) | element-{T}(V2,V0), equalish-{T}(V2,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #7: input, references = 17, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_f-{F}(V3,V4), equalish-{F}(V4,V2), element-{F}(V3,V2) | equalish-{T}(V3,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #8: input, references = 7, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_f-{F}(V3,V4), equalish-{F}(V4,V3), element-{F}(V3,V2) | equalish-{T}(V3,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #9: input, references = 4, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_f-{F}(V3,V4), element-{F}(V3,V2) | element-{T}(V3,V4), equalish-{T}(V3,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #10: input, references = 4, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_f-{F}(V3,V4), element-{F}(V3,V2) | element-{T}(V4,V3), equalish-{T}(V3,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #11: input, references = 5, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), element-{F}(V4,V3), element-{F}(V3,V4) | element-{T}(V3,V2), equalish-{T}(V3,V2), equalish-{T}(V4,V3), equalish-{T}(V4,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #12: input, references = 3, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), P_g-{F}(V4,V5), equalish-{F}(V5,V3) | element-{T}(V4,V3), equalish-{T}(V4,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #13: input, references = 3, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), P_g-{F}(V4,V5), equalish-{F}(V5,V4) | element-{T}(V4,V3), equalish-{T}(V4,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #14: input, references = 3, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), P_g-{F}(V4,V5) | element-{T}(V4,V5), element-{T}(V4,V3), equalish-{T}(V4,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #15: input, references = 3, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), P_g-{F}(V4,V5) | element-{T}(V5,V4), element-{T}(V4,V3), equalish-{T}(V4,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #16: input, references = 3, size of lhs = 7:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V4,V3), element-{F}(V5,V4), element-{F}(V4,V5) | equalish-{T}(V4,V3), equalish-{T}(V5,V4), equalish-{T}(V5,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #17: input, references = 3, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V4,V2) | element-{T}(V4,V1), equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #18: input, references = 5, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V4,V3) | element-{T}(V4,V1), equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #19: input, references = 4, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V4,V1) | equalish-{T}(V4,V3), equalish-{T}(V4,V2), equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #20: input, references = 3, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V3,V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #21: input, references = 14, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #22: input, references = 12, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V3,V1) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #23: input, references = 4, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V2,V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #24: input, references = 4, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V1,V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #25: input, references = 5, size of lhs = 4:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3) | equalish-{T}(V2,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #26: input, references = 4, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #27: input, references = 4, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_k-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #28: input, references = 4, size of lhs = 1:
% 0.60/0.76 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #29: input, references = 5, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_m-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #30: input, references = 3, size of lhs = 1:
% 0.60/0.76 #-{F} V0 | EXISTS V1: P_g-{T}(V0,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #31: input, references = 6, size of lhs = 0:
% 0.60/0.76 FALSE | EXISTS V0: P_n-{T}(V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of initial rules = 32
% 0.60/0.76
% 0.60/0.76 Simplifiers:
% 0.60/0.76 #32: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #33: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #34: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #35: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #36: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_g-{F}(V0,V1), P_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #37: unsound, references = 3, size of lhs = 3:
% 0.60/0.76 P_n-{F}(V0), P_n-{F}(V1), V0 == V1 | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of simplifiers = 6
% 0.60/0.76
% 0.60/0.76 Learnt:
% 0.60/0.76 #39: exists( #31, #24 ), references = 1, size of lhs = 4:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), equalish-{F}(V1,V0), P_m-{F}(V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #41: exists( #29, #38 ), references = 1, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), equalish-{F}(V1,V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #50: mergings( V0 == V5, V5 == V7, V6 == V1, V2 == V1, V1 == V8, V3 == V4; #43 ), references = 1, size of lhs = 7:
% 0.60/0.76 P_k-{F}(V0), P_m-{F}(V0), P_a-{F}(V1), P_n-{F}(V2), equalish-{F}(V2,V2), P_f-{F}(V2,V3), equalish-{F}(V3,V0) | equalish-{T}(V2,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #56: mergings( V1 == V2; #52 ), references = 1, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), equalish-{F}(V1,V1) | element-{T}(V1,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #59: mergings( V1 == V3; #54 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V1), P_n-{F}(V3) | element-{T}(V2,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #61: exists( #31, #23 ), references = 1, size of lhs = 4:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #66: mergings( V0 == V5, V2 == V6, V3 == V4; #62 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), equalish-{F}(V3,V3) | element-{T}(V3,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #77: mergings( V0 == V5, V1 == V6; #73 ), references = 3, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4) | element-{T}(V3,V4)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #80: mergings( V1 == V3; #78 ), references = 1, size of lhs = 5:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V3,V0) | equalish-{T}(V3,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #89: mergings( V0 == V5, V1 == V6; #85 ), references = 1, size of lhs = 6:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4) | element-{T}(V4,V3)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #115: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V11 == V17; #100 ), references = 1, size of lhs = 10:
% 0.60/0.76 P_m-{F}(V0), P_a-{F}(V1), P_k-{F}(V2), P_n-{F}(V3), element-{F}(V3,V0), P_f-{F}(V3,V4), element-{F}(V4,V5), element-{F}(V5,V4), P_f-{F}(V4,V6), equalish-{F}(V6,V0) | equalish-{T}(V5,V4), equalish-{T}(V5,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #128: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V1 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V16, V2 == V17, V11 == V18; #101 ), references = 1, size of lhs = 11:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V1), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4), element-{F}(V4,V5), element-{F}(V5,V4), P_f-{F}(V4,V6), equalish-{F}(V6,V2) | equalish-{T}(V5,V4), equalish-{T}(V5,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #141: mergings( V0 == V5, V5 == V7, V7 == V9, V9 == V14, V14 == V16, V1 == V6, V6 == V8, V8 == V10, V10 == V15, V15 == V17, V11 == V2, V12 == V18; #102 ), references = 1, size of lhs = 11:
% 0.60/0.76 P_m-{F}(V0), equalish-{F}(V0,V1), P_k-{F}(V1), P_a-{F}(V2), P_n-{F}(V3), element-{F}(V3,V0), P_f-{F}(V3,V4), element-{F}(V4,V5), element-{F}(V5,V4), P_f-{F}(V4,V6), equalish-{F}(V6,V0) | equalish-{T}(V5,V4), equalish-{T}(V5,V0)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #166: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V13, V13 == V15, V15 == V18, V18 == V20, V1 == V3, V3 == V5, V5 == V7, V7 == V14, V14 == V16, V16 == V19, V19 == V21, V12 == V23, V9 == V22, V8 == V11, V11 == V17; #147 ), references = 1, size of lhs = 10:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), P_a-{F}(V2), P_k-{F}(V3), P_m-{F}(V4), element-{F}(V0,V4), P_f-{F}(V1,V5), equalish-{F}(V5,V4) | equalish-{T}(V0,V4)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #195: mergings( V0 == V5, V5 == V7, V7 == V10, V10 == V12, V1 == V6, V6 == V8, V8 == V11, V11 == V13, V2 == V14, V9 == V3; #181 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), P_a-{F}(V2), P_k-{F}(V3), P_m-{F}(V4), element-{F}(V0,V4) | element-{T}(V1,V4), equalish-{T}(V0,V4)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #207: mergings( V0 == V5, V5 == V7, V7 == V10, V10 == V13, V1 == V6, V6 == V8, V8 == V11, V11 == V14, V2 == V12, V12 == V15, V9 == V3; #182 ), references = 1, size of lhs = 9:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), element-{F}(V0,V2), P_m-{F}(V2), P_a-{F}(V3), P_k-{F}(V4), equalish-{F}(V2,V4) | element-{T}(V1,V2), equalish-{T}(V0,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #219: mergings( V0 == V5, V5 == V7, V7 == V11, V11 == V13, V1 == V6, V6 == V8, V8 == V12, V12 == V14, V2 == V9, V9 == V15, V10 == V3; #183 ), references = 1, size of lhs = 9:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), P_a-{F}(V2), P_k-{F}(V3), P_m-{F}(V4), equalish-{F}(V4,V3), element-{F}(V0,V4) | element-{T}(V1,V4), equalish-{T}(V0,V4)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #236: mergings( V0 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V15, V1 == V3, V3 == V5, V5 == V11, V11 == V13, V13 == V16, V6 == V14, V7 == V9; #222 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), P_m-{F}(V2), element-{F}(V0,V2), P_a-{F}(V3), P_k-{F}(V4) | element-{T}(V1,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #250: mergings( V0 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V15, V1 == V3, V3 == V5, V5 == V11, V11 == V13, V13 == V16, V6 == V14, V14 == V17, V7 == V9; #223 ), references = 1, size of lhs = 9:
% 0.60/0.76 P_n-{F}(V0), element-{F}(V0,V1), element-{F}(V1,V0), P_f-{F}(V0,V1), element-{F}(V0,V2), P_m-{F}(V2), P_a-{F}(V3), P_k-{F}(V4), equalish-{F}(V2,V4) | element-{T}(V1,V2)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #273: mergings( V0 == V5, V5 == V7, V7 == V10, V10 == V12, V1 == V6, V6 == V8, V8 == V11, V11 == V13, V9 == V2, V3 == V14; #259 ), references = 1, size of lhs = 7:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4), element-{F}(V4,V1) | equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #285: mergings( V0 == V5, V5 == V7, V7 == V10, V10 == V12, V1 == V6, V6 == V8, V8 == V11, V11 == V13, V9 == V2, V2 == V14, V3 == V15; #260 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V1), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4), element-{F}(V4,V1) | equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #297: mergings( V0 == V5, V5 == V8, V8 == V11, V11 == V13, V1 == V6, V6 == V9, V9 == V12, V12 == V14, V7 == V10, V10 == V2, V3 == V15; #261 ), references = 1, size of lhs = 8:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V1), P_n-{F}(V3), element-{F}(V3,V2), P_f-{F}(V3,V4), element-{F}(V4,V1) | equalish-{T}(V4,V1)
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #352: mergings( V2 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V33, V33 == V36, V36 == V38, V3 == V6, V6 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V37, V37 == V39, V4 == V9, V9 == V16, V16 == V21, V21 == V30, V30 == V35, V35 == V40; #314 ), references = 1, size of lhs = 7:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2), equalish-{F}(V2,V1), equalish-{F}(V1,V2), P_n-{F}(V3), element-{F}(V3,V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #430: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V3 == V5, V5 == V38; #393 ), references = 1, size of lhs = 3:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1), P_m-{F}(V2) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #465: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34; #432 ), references = 1, size of lhs = 2:
% 0.60/0.76 P_a-{F}(V0), P_k-{F}(V1) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #486: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #466 ), references = 1, size of lhs = 1:
% 0.60/0.76 P_a-{F}(V0) | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 #489: exists( #26, #466 ), references = 1, size of lhs = 0:
% 0.60/0.76 FALSE | FALSE
% 0.60/0.76 (used 0 times, uses = {})
% 0.60/0.76
% 0.60/0.76 number of learnt formulas = 27
% 0.60/0.76
% 0.60/0.76
% 0.60/0.76 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.76
% 0.60/0.76 randbase = 1
%------------------------------------------------------------------------------