TSTP Solution File: SYN083+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:23:41 EDT 2022
% Result : Theorem 3.82s 4.03s
% Output : Refutation 3.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN083+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.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 03:39:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.82/4.03 GeoParameters:
% 3.82/4.03
% 3.82/4.03 tptp_input = 1
% 3.82/4.03 tptp_output = 0
% 3.82/4.03 nonempty = 1
% 3.82/4.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/4.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.82/4.03
% 3.82/4.03
% 3.82/4.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/4.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/4.03
% 3.82/4.03 RuleSystem INPUT:
% 3.82/4.03
% 3.82/4.03 Initial Rules:
% 3.82/4.03 #0: input, references = 5, size of lhs = 5:
% 3.82/4.03 P_f-{F}(V1,V2,V3), P_f-{F}(V0,V3,V4), P_f-{F}(V0,V1,V5), P_f-{F}(V5,V2,V6), V4 == V6 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #1: input, references = 4, size of lhs = 0:
% 3.82/4.03 FALSE | EXISTS V0: pppp3-{T}(V0)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #2: input, references = 4, size of lhs = 1:
% 3.82/4.03 pppp3-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #3: input, references = 5, size of lhs = 1:
% 3.82/4.03 pppp2-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #4: input, references = 6, size of lhs = 1:
% 3.82/4.03 pppp1-{F}(V0,V1,V2) | EXISTS V3: pppp0-{T}(V0,V1,V2,V3)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #5: input, references = 10, size of lhs = 7:
% 3.82/4.03 pppp0-{F}(V0,V1,V2,V3), P_f-{F}(V2,V3,V4), P_f-{F}(V1,V4,V5), P_f-{F}(V0,V5,V9), P_f-{F}(V0,V1,V7), P_f-{F}(V7,V2,V8), P_f-{F}(V8,V3,V9) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #6: input, references = 22, size of lhs = 2:
% 3.82/4.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_f-{T}(V0,V1,V2)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 number of initial rules = 7
% 3.82/4.03
% 3.82/4.03 Simplifiers:
% 3.82/4.03 #7: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #8: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #9: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #10: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #11: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #12: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #13: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #14: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp1-{F}(V0,V1,V2), pppp1-{F}(V3,V4,V5), V0 == V3 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #15: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #16: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp2-{F}(V0,V1), pppp2-{F}(V2,V3), V0 == V2 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #17: unsound, references = 3, size of lhs = 3:
% 3.82/4.03 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 number of simplifiers = 11
% 3.82/4.03
% 3.82/4.03 Learnt:
% 3.82/4.03 #19: exists( #6, #0 ), references = 32, size of lhs = 3:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V2,V4), P_f-{F}(V3,V0,V5) | P_f-{T}(V5,V1,V4)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #23: exists( #6, #0 ), references = 44, size of lhs = 3:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V4,V1,V5) | P_f-{T}(V3,V2,V5)
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #33: exists( #6, #31 ), references = 2, size of lhs = 9:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V2), P_f-{F}(V0,V3,V4), P_f-{F}(V1,V4,V5), P_f-{F}(V3,V6,V2), P_f-{F}(V5,V7,V2), pppp0-{F}(V1,V4,V7,V8), P_f-{F}(V6,V8,V9), P_f-{F}(V7,V8,V9) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #35: exists( #6, #32 ), references = 2, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V2), P_f-{F}(V0,V3,V4), P_f-{F}(V1,V4,V5), P_f-{F}(V3,V6,V2), P_f-{F}(V5,V6,V2), pppp0-{F}(V1,V4,V6,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #37: exists( #4, #34 ), references = 2, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V2), P_f-{F}(V0,V3,V4), pppp1-{F}(V1,V4,V5), P_f-{F}(V3,V5,V2), P_f-{F}(V1,V4,V6), P_f-{F}(V6,V5,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #45: mergings( V0 == V5; #42 ), references = 1, size of lhs = 4:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V2), P_f-{F}(V1,V2,V2), pppp1-{F}(V1,V2,V3) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #47: mergings( V0 == V5; #43 ), references = 1, size of lhs = 4:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V2,V2), P_f-{F}(V1,V2,V2), pppp0-{F}(V1,V2,V3,V4) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #50: mergings( V4 == V1; #48 ), references = 1, size of lhs = 4:
% 3.82/4.03 P_f-{F}(V0,V0,V1), pppp2-{F}(V1,V2), P_f-{F}(V1,V2,V2), P_f-{F}(V0,V2,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #64: exists( #6, #62 ), references = 2, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V1,V1), P_f-{F}(V0,V2,V3), P_f-{F}(V2,V4,V1), P_f-{F}(V3,V5,V1), pppp0-{F}(V0,V2,V5,V6), P_f-{F}(V4,V6,V7), P_f-{F}(V5,V6,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #66: exists( #6, #63 ), references = 1, size of lhs = 5:
% 3.82/4.03 P_f-{F}(V0,V1,V1), P_f-{F}(V0,V2,V3), P_f-{F}(V2,V4,V1), P_f-{F}(V3,V4,V1), pppp0-{F}(V0,V2,V4,V5) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #68: exists( #4, #65 ), references = 1, size of lhs = 5:
% 3.82/4.03 P_f-{F}(V0,V1,V1), pppp1-{F}(V0,V2,V3), P_f-{F}(V2,V3,V1), P_f-{F}(V0,V2,V4), P_f-{F}(V4,V3,V1) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #76: exists( #6, #74 ), references = 1, size of lhs = 9:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V5,V4,V6), pppp0-{F}(V5,V4,V1,V7), P_f-{F}(V2,V7,V8), P_f-{F}(V3,V8,V9), P_f-{F}(V5,V9,V10), P_f-{F}(V6,V1,V11), P_f-{F}(V11,V7,V10) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #101: exists( #6, #97 ), references = 4, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), pppp0-{F}(V3,V0,V1,V5), P_f-{F}(V2,V5,V6), P_f-{F}(V3,V6,V7), P_f-{F}(V4,V1,V8), P_f-{F}(V8,V5,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #114: mergings( V5 == V6; #111 ), references = 1, size of lhs = 5:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V0,V1,V1), P_f-{F}(V1,V2,V2), pppp0-{F}(V0,V0,V3,V4), P_f-{F}(V3,V4,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #116: mergings( V4 == V6; #110 ), references = 4, size of lhs = 6:
% 3.82/4.03 P_f-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3,V4), P_f-{F}(V3,V4,V5), P_f-{F}(V2,V5,V6), P_f-{F}(V1,V5,V7), P_f-{F}(V0,V7,V6) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #119: mergings( V4 == V5, V9 == V10; #112 ), references = 1, size of lhs = 8:
% 3.82/4.03 P_f-{F}(V0,V0,V1), P_f-{F}(V1,V1,V2), P_f-{F}(V3,V2,V2), P_f-{F}(V3,V3,V4), P_f-{F}(V0,V4,V4), P_f-{F}(V2,V5,V5), pppp0-{F}(V1,V1,V6,V7), P_f-{F}(V6,V7,V5) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #185: exists( #6, #179 ), references = 1, size of lhs = 15:
% 3.82/4.03 P_f-{F}(V0,V0,V0), P_f-{F}(V1,V2,V0), P_f-{F}(V1,V1,V3), P_f-{F}(V0,V4,V3), P_f-{F}(V4,V5,V0), P_f-{F}(V1,V6,V7), P_f-{F}(V6,V8,V7), P_f-{F}(V2,V9,V7), P_f-{F}(V5,V9,V7), P_f-{F}(V9,V10,V7), P_f-{F}(V10,V8,V11), P_f-{F}(V8,V11,V12), P_f-{F}(V8,V12,V12), pppp0-{F}(V1,V1,V13,V14), P_f-{F}(V13,V14,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #186: exists( #6, #180 ), references = 1, size of lhs = 15:
% 3.82/4.03 P_f-{F}(V0,V0,V0), P_f-{F}(V1,V1,V0), P_f-{F}(V1,V2,V0), P_f-{F}(V1,V3,V4), P_f-{F}(V3,V5,V4), P_f-{F}(V2,V6,V4), pppp0-{F}(V1,V1,V6,V7), P_f-{F}(V6,V7,V4), P_f-{F}(V6,V8,V4), P_f-{F}(V8,V5,V9), P_f-{F}(V5,V9,V10), P_f-{F}(V5,V10,V10), P_f-{F}(V6,V11,V4), P_f-{F}(V11,V10,V12), P_f-{F}(V9,V7,V12) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #187: exists( #6, #181 ), references = 1, size of lhs = 15:
% 3.82/4.03 P_f-{F}(V0,V0,V0), P_f-{F}(V1,V2,V0), P_f-{F}(V1,V3,V0), P_f-{F}(V1,V4,V5), P_f-{F}(V2,V6,V5), P_f-{F}(V3,V6,V5), pppp0-{F}(V1,V3,V6,V7), P_f-{F}(V4,V7,V5), P_f-{F}(V6,V8,V5), P_f-{F}(V8,V7,V9), P_f-{F}(V7,V9,V10), P_f-{F}(V7,V10,V10), P_f-{F}(V6,V11,V5), P_f-{F}(V11,V10,V12), P_f-{F}(V9,V7,V12) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #202: exists( #6, #200 ), references = 1, size of lhs = 8:
% 3.82/4.03 P_f-{F}(V0,V1,V1), P_f-{F}(V1,V2,V3), P_f-{F}(V2,V4,V5), P_f-{F}(V0,V6,V7), P_f-{F}(V6,V8,V3), P_f-{F}(V8,V4,V9), pppp0-{F}(V0,V6,V10,V11), P_f-{F}(V10,V11,V9) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #229: exists( #6, #227 ), references = 1, size of lhs = 19:
% 3.82/4.03 P_f-{F}(V0,V1,V0), P_f-{F}(V2,V3,V0), P_f-{F}(V4,V2,V5), P_f-{F}(V6,V7,V5), P_f-{F}(V7,V3,V8), P_f-{F}(V9,V7,V8), P_f-{F}(V10,V6,V11), P_f-{F}(V10,V4,V12), P_f-{F}(V13,V11,V11), P_f-{F}(V14,V9,V11), P_f-{F}(V15,V14,V11), P_f-{F}(V15,V11,V11), pppp0-{F}(V13,V16,V7,V1), P_f-{F}(V13,V16,V11), P_f-{F}(V16,V7,V17), P_f-{F}(V18,V1,V19), P_f-{F}(V20,V2,V19), P_f-{F}(V21,V20,V12), P_f-{F}(V21,V18,V17) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #238: exists( #6, #230 ), references = 2, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V1,V3,V4), P_f-{F}(V0,V4,V5), pppp0-{F}(V0,V1,V3,V6), P_f-{F}(V5,V6,V7), P_f-{F}(V2,V3,V8), P_f-{F}(V8,V6,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #239: exists( #6, #233 ), references = 2, size of lhs = 8:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V5,V4,V6), P_f-{F}(V6,V1,V7), P_f-{F}(V5,V3,V8), P_f-{F}(V8,V2,V7), pppp0-{F}(V5,V3,V9,V10), P_f-{F}(V9,V10,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #240: exists( #6, #234 ), references = 2, size of lhs = 9:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V5,V4,V6), P_f-{F}(V6,V1,V7), P_f-{F}(V5,V3,V8), pppp0-{F}(V5,V3,V9,V10), P_f-{F}(V9,V10,V2), P_f-{F}(V8,V9,V11), P_f-{F}(V11,V10,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #288: exists( #6, #282 ), references = 1, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V1,V3,V4), P_f-{F}(V5,V6,V2), P_f-{F}(V5,V7,V8), P_f-{F}(V7,V9,V6), pppp0-{F}(V5,V7,V9,V3), P_f-{F}(V8,V9,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #289: exists( #6, #283 ), references = 1, size of lhs = 8:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V1,V2), P_f-{F}(V4,V3,V5), P_f-{F}(V6,V5,V7), P_f-{F}(V6,V4,V8), P_f-{F}(V8,V0,V7), pppp0-{F}(V6,V4,V9,V10), P_f-{F}(V9,V10,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #290: exists( #6, #284 ), references = 1, size of lhs = 9:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V1,V3,V4), P_f-{F}(V5,V3,V6), P_f-{F}(V7,V3,V6), P_f-{F}(V8,V7,V2), P_f-{F}(V9,V5,V10), P_f-{F}(V11,V10,V2), P_f-{F}(V11,V9,V8), pppp0-{F}(V11,V9,V7,V3) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #297: exists( #6, #291 ), references = 1, size of lhs = 6:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V1,V2), P_f-{F}(V4,V0,V5), P_f-{F}(V4,V3,V5), pppp0-{F}(V4,V3,V1,V6), P_f-{F}(V1,V6,V7) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #298: exists( #6, #292 ), references = 1, size of lhs = 8:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V5,V4), P_f-{F}(V5,V6,V2), P_f-{F}(V1,V7,V8), P_f-{F}(V6,V7,V8), pppp0-{F}(V3,V5,V9,V10), P_f-{F}(V9,V10,V8) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #300: mergings( V9 == V10; #296 ), references = 1, size of lhs = 7:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V0,V4), P_f-{F}(V3,V5,V4), P_f-{F}(V5,V6,V2), pppp0-{F}(V3,V5,V1,V7), P_f-{F}(V6,V7,V8), P_f-{F}(V1,V7,V8) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #304: exists( #6, #294 ), references = 1, size of lhs = 5:
% 3.82/4.03 P_f-{F}(V0,V1,V2), P_f-{F}(V3,V1,V2), P_f-{F}(V4,V0,V5), P_f-{F}(V4,V3,V5), pppp0-{F}(V4,V3,V1,V6) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #308: exists( #6, #301 ), references = 1, size of lhs = 2:
% 3.82/4.03 P_f-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3,V4) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #312: exists( #4, #305 ), references = 1, size of lhs = 2:
% 3.82/4.03 pppp1-{F}(V0,V1,V2), P_f-{F}(V0,V1,V3) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #316: exists( #3, #309 ), references = 1, size of lhs = 2:
% 3.82/4.03 pppp2-{F}(V0,V1), P_f-{F}(V0,V1,V2) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #320: exists( #6, #313 ), references = 1, size of lhs = 1:
% 3.82/4.03 pppp2-{F}(V0,V1) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #324: exists( #2, #317 ), references = 1, size of lhs = 1:
% 3.82/4.03 pppp3-{F}(V0) | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 #328: exists( #1, #321 ), references = 1, size of lhs = 0:
% 3.82/4.03 FALSE | FALSE
% 3.82/4.03 (used 0 times, uses = {})
% 3.82/4.03
% 3.82/4.03 number of learnt formulas = 37
% 3.82/4.03
% 3.82/4.03
% 3.82/4.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.82/4.03
% 3.82/4.03 randbase = 1
%------------------------------------------------------------------------------