%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:10:23 EDT 2022
% Result : Unsatisfiable 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LDA007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n004.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 07:24:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.39/0.60 GeoParameters:
% 0.39/0.60
% 0.39/0.60 tptp_input = 1
% 0.39/0.60 tptp_output = 0
% 0.39/0.60 nonempty = 1
% 0.39/0.60 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.60 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.60
% 0.39/0.60 RuleSystem INPUT:
% 0.39/0.60
% 0.39/0.60 Initial Rules:
% 0.39/0.60 #0: input, references = 5, size of lhs = 6:
% 0.39/0.60 P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V0,V2,V6), P_f-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #1: input, references = 7, size of lhs = 4:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), V0 == V2 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #2: input, references = 4, size of lhs = 7:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), V3 == V5 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #3: input, references = 5, size of lhs = 9:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), V6 == V7 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #4: input, references = 4, size of lhs = 12:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), V8 == V10 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #5: input, references = 5, size of lhs = 14:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), P_tsk-{F}(V11), P_f-{F}(V3,V9,V12), V11 == V12 | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #6: input, references = 6, size of lhs = 15:
% 0.39/0.60 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), P_tsk-{F}(V11), P_f-{F}(V3,V9,V12), P_f-{F}(V1,V11,V14), P_f-{F}(V6,V8,V14) | FALSE
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #7: input, references = 14, size of lhs = 2:
% 0.39/0.60 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #8: input, references = 4, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_tt-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #9: input, references = 4, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_t-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #10: input, references = 5, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_ts-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #11: input, references = 6, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_s-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #12: input, references = 7, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_tt_ts-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #13: input, references = 5, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_tk-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #14: input, references = 5, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_k-{T}(V0)
% 0.39/0.60 (used 0 times, uses = {})
% 0.39/0.60
% 0.39/0.60 #15: input, references = 6, size of lhs = 0:
% 0.39/0.60 FALSE | EXISTS V0: P_tsk-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of initial rules = 16
% 0.39/0.61
% 0.39/0.61 Simplifiers:
% 0.39/0.61 #16: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #17: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_tt-{F}(V0), P_tt-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #18: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_t-{F}(V0), P_t-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #19: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_ts-{F}(V0), P_ts-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #20: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_s-{F}(V0), P_s-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #21: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_tt_ts-{F}(V0), P_tt_ts-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #22: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_tk-{F}(V0), P_tk-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #23: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_k-{F}(V0), P_k-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #24: unsound, references = 3, size of lhs = 3:
% 0.39/0.61 P_tsk-{F}(V0), P_tsk-{F}(V1), V0 == V1 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of simplifiers = 9
% 0.39/0.61
% 0.39/0.61 Learnt:
% 0.39/0.61 #26: exists( #7, #3 ), references = 1, size of lhs = 5:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_ts-{F}(V0), P_s-{F}(V0), P_tt_ts-{F}(V1) | P_f-{T}(V0,V0,V1)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #32: mergings( V1 == V2; #29 ), references = 1, size of lhs = 4:
% 0.39/0.61 P_ts-{F}(V0), P_s-{F}(V0), P_t-{F}(V0), P_tt-{F}(V0) | P_tt_ts-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #36: exists( #7, #0 ), references = 2, size of lhs = 4:
% 0.39/0.61 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5), P_f-{F}(V3,V1,V6) | P_f-{T}(V5,V6,V4)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #39: exists( #7, #4 ), references = 2, size of lhs = 10:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9) | P_f-{T}(V1,V9,V8)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #41: exists( #7, #6 ), references = 2, size of lhs = 13:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_tt_ts-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V0,V3,V6), P_tk-{F}(V7), P_tsk-{F}(V7), P_k-{F}(V8), P_f-{F}(V1,V8,V9), P_f-{F}(V3,V8,V10) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #43: exists( #15, #5 ), references = 1, size of lhs = 12:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), P_f-{F}(V3,V9,V11) | P_tsk-{T}(V11)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #61: mergings( V13 == V15, V15 == V18, V1 == V6, V6 == V11, V17 == V21, V2 == V12, V5 == V21, V3 == V7, V14 == V16, V7 == V19, V16 == V20, V4 == V8, V8 == V12, V9 == V10; #46 ), references = 1, size of lhs = 9:
% 0.39/0.61 P_tk-{F}(V0), P_tt-{F}(V1), P_t-{F}(V2), P_tt_ts-{F}(V2), P_ts-{F}(V2), P_f-{F}(V2,V2,V3), P_s-{F}(V4), P_f-{F}(V2,V4,V5), P_f-{F}(V1,V2,V6) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #76: mergings( V11 == V13, V13 == V16, V1 == V6, V6 == V9, V15 == V19, V2 == V10, V5 == V19, V3 == V7, V12 == V14, V7 == V17, V14 == V18, V4 == V8, V8 == V10; #62 ), references = 2, size of lhs = 8:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_tt_ts-{F}(V1), P_ts-{F}(V1), P_f-{F}(V1,V1,V2), P_s-{F}(V3), P_f-{F}(V1,V3,V4), P_f-{F}(V0,V1,V5) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #81: exists( #7, #79 ), references = 1, size of lhs = 5:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V2,V3,V1), P_f-{F}(V2,V4,V1), P_f-{F}(V3,V4,V5) | P_f-{T}(V2,V5,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #85: exists( #7, #3 ), references = 3, size of lhs = 8:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_tt_ts-{F}(V5), P_f-{F}(V0,V3,V6), V5 == V6 | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #86: exists( #7, #2 ), references = 4, size of lhs = 5:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4) | P_f-{T}(V1,V4,V3)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #90: exists( #7, #85 ), references = 2, size of lhs = 5:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_ts-{F}(V0), P_s-{F}(V1), P_tt_ts-{F}(V2) | P_f-{T}(V0,V0,V2)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #94: mergings( V1 == V3; #92 ), references = 1, size of lhs = 4:
% 0.39/0.61 P_ts-{F}(V0), P_t-{F}(V0), P_tt-{F}(V0), P_s-{F}(V1) | P_tt_ts-{T}(V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #102: mergings( V1 == V2, V2 == V4, V3 == V4; #98 ), references = 1, size of lhs = 3:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_ts-{F}(V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #106: exists( #7, #1 ), references = 2, size of lhs = 2:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1) | P_f-{T}(V1,V1,V0)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #110: exists( #7, #85 ), references = 2, size of lhs = 6:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_tt_ts-{F}(V5) | P_f-{T}(V0,V3,V5)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #111: exists( #7, #0 ), references = 4, size of lhs = 4:
% 0.39/0.61 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V1,V5), P_f-{F}(V4,V5,V6) | P_f-{T}(V3,V2,V6)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #115: exists( #7, #5 ), references = 3, size of lhs = 12:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), P_tsk-{F}(V11) | P_f-{T}(V3,V9,V11)
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #131: mergings( V16 == V18, V1 == V8, V12 == V15, V2 == V9, V3 == V10, V17 == V18, V4 == V13, V5 == V14, V6 == V11, V7 == V18; #120 ), references = 1, size of lhs = 12:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_tt_ts-{F}(V3), P_f-{F}(V1,V3,V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V0,V3,V6), P_tk-{F}(V7), P_k-{F}(V7), P_f-{F}(V1,V7,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #143: exists( #7, #141 ), references = 1, size of lhs = 16:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V10), P_tsk-{F}(V11), P_f-{F}(V3,V9,V12), P_f-{F}(V1,V13,V6), P_f-{F}(V13,V14,V11), P_f-{F}(V1,V14,V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #156: mergings( V17 == V20, V1 == V8, V12 == V16, V2 == V9, V3 == V10, V19 == V20, V4 == V13, V5 == V14, V6 == V15, V7 == V20; #145 ), references = 1, size of lhs = 12:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V1,V3,V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8), P_k-{F}(V9), P_f-{F}(V1,V9,V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #173: mergings( V12 == V14, V14 == V16, V1 == V6, V6 == V10, V18 == V22, V2 == V17, V5 == V22, V3 == V7, V13 == V15, V7 == V19, V15 == V20, V4 == V8, V8 == V21, V9 == V23; #158 ), references = 1, size of lhs = 10:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V1,V3,V6), P_f-{F}(V0,V3,V7), P_tk-{F}(V8) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #188: mergings( V11 == V13, V13 == V15, V1 == V6, V6 == V9, V17 == V21, V2 == V16, V5 == V21, V3 == V7, V12 == V14, V7 == V18, V14 == V19, V4 == V8, V8 == V20; #174 ), references = 2, size of lhs = 9:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_tt_ts-{F}(V6), P_f-{F}(V1,V3,V6), P_f-{F}(V0,V3,V7) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #200: mergings( V7 == V9, V9 == V11, V1 == V6, V2 == V11, V3 == V4, V4 == V5, V8 == V10, V5 == V13, V10 == V14; #190 ), references = 1, size of lhs = 6:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_f-{F}(V0,V0,V1), P_ts-{F}(V2), P_s-{F}(V3), P_f-{F}(V0,V3,V4) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #210: mergings( V6 == V7, V7 == V8, V8 == V9, V1 == V5, V3 == V5, V4 == V9, V2 == V10; #202 ), references = 1, size of lhs = 4:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_f-{F}(V0,V0,V1), P_ts-{F}(V2) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #218: mergings( V5 == V6, V6 == V7, V7 == V8, V1 == V4, V2 == V4, V3 == V8; #211 ), references = 1, size of lhs = 3:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V0), P_f-{F}(V0,V0,V1) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #226: mergings( V1 == V5, V2 == V6, V3 == V8; #222 ), references = 1, size of lhs = 9:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V2), P_ts-{F}(V3), P_s-{F}(V4), P_f-{F}(V1,V4,V5), P_f-{F}(V1,V6,V0), P_f-{F}(V6,V7,V3), P_f-{F}(V1,V7,V3) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #234: mergings( V4 == V6, V6 == V7, V1 == V7, V2 == V5, V3 == V7; #228 ), references = 1, size of lhs = 4:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V0), P_ts-{F}(V2) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #241: mergings( V4 == V6, V6 == V7, V1 == V7, V2 == V5, V3 == V7; #235 ), references = 1, size of lhs = 3:
% 0.39/0.61 P_tt-{F}(V0), P_t-{F}(V1), P_f-{F}(V1,V1,V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #245: mergings( V1 == V2; #243 ), references = 1, size of lhs = 1:
% 0.39/0.61 P_tt-{F}(V0) | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 #247: exists( #8, #243 ), references = 1, size of lhs = 0:
% 0.39/0.61 FALSE | FALSE
% 0.39/0.61 (used 0 times, uses = {})
% 0.39/0.61
% 0.39/0.61 number of learnt formulas = 31
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61
% 0.39/0.61 randbase = 1
%------------------------------------------------------------------------------