TSTP Solution File: SYN084-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 : Unsatisfiable 0.41s 0.58s
% Output : Refutation 0.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.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 03:30:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.41/0.58 GeoParameters:
% 0.41/0.58
% 0.41/0.58 tptp_input = 1
% 0.41/0.58 tptp_output = 0
% 0.41/0.58 nonempty = 1
% 0.41/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58
% 0.41/0.58 RuleSystem INPUT:
% 0.41/0.58
% 0.41/0.58 Initial Rules:
% 0.41/0.58 #0: input, references = 4, size of lhs = 1:
% 0.41/0.58 P_a-{F}(V0) | big_p-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #1: input, references = 11, size of lhs = 4:
% 0.41/0.58 P_a-{F}(V0), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3) | big_p-{T}(V3), big_p-{T}(V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #2: input, references = 17, size of lhs = 5:
% 0.41/0.58 P_a-{F}(V0), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), big_p-{F}(V2) | big_p-{T}(V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #3: input, references = 8, size of lhs = 9:
% 0.41/0.58 P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), big_p-{F}(V3), big_p-{F}(V6) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #4: input, references = 4, size of lhs = 9:
% 0.41/0.58 P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), big_p-{F}(V1), big_p-{F}(V4) | big_p-{T}(V2), big_p-{T}(V5)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #5: input, references = 4, size of lhs = 9:
% 0.41/0.58 P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), big_p-{F}(V1), big_p-{F}(V6) | big_p-{T}(V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #6: input, references = 9, size of lhs = 9:
% 0.41/0.58 P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), big_p-{F}(V4), big_p-{F}(V3) | big_p-{T}(V5)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #7: input, references = 4, size of lhs = 0:
% 0.41/0.58 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #8: input, references = 22, size of lhs = 1:
% 0.41/0.58 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #9: input, references = 4, size of lhs = 0:
% 0.41/0.58 FALSE | EXISTS V0: P_sk1-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #10: input, references = 5, size of lhs = 0:
% 0.41/0.58 FALSE | EXISTS V0: P_sk2-{T}(V0)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of initial rules = 11
% 0.41/0.58
% 0.41/0.58 Simplifiers:
% 0.41/0.58 #11: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #12: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #13: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_sk1-{F}(V0), P_sk1-{F}(V1), V0 == V1 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #14: unsound, references = 3, size of lhs = 3:
% 0.41/0.58 P_sk2-{F}(V0), P_sk2-{F}(V1), V0 == V1 | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of simplifiers = 4
% 0.41/0.58
% 0.41/0.58 Learnt:
% 0.41/0.58 #17: mergings( V0 == V4; #15 ), references = 1, size of lhs = 10:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V3), P_f-{F}(V6,V3), P_f-{F}(V7,V6) | big_p-{T}(V7)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #29: mergings( V2 == V7, V7 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13; #22 ), references = 6, size of lhs = 10:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), big_p-{F}(V6) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #37: mergings( V0 == V4, V4 == V9, V9 == V11, V5 == V12, V7 == V13, V8 == V14; #30 ), references = 6, size of lhs = 11:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), P_f-{F}(V7,V6), P_f-{F}(V8,V7) | big_p-{T}(V8)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #49: mergings( V2 == V3, V3 == V7, V7 == V8, V8 == V11, V4 == V9, V5 == V10, V9 == V12, V10 == V13, V6 == V14; #39 ), references = 1, size of lhs = 9:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V4,V5), P_f-{F}(V5,V4) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #68: mergings( V3 == V7, V7 == V12, V12 == V14, V2 == V8, V4 == V9, V8 == V15, V9 == V16, V10 == V17, V6 == V11, V11 == V18; #56 ), references = 4, size of lhs = 11:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V2,V4), big_p-{F}(V4), P_sk2-{F}(V5), P_f-{F}(V5,V6), P_f-{F}(V7,V6) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #78: mergings( V3 == V7, V7 == V12, V12 == V15, V2 == V8, V4 == V9, V8 == V14, V9 == V16, V6 == V11, V11 == V18; #57 ), references = 3, size of lhs = 12:
% 0.41/0.58 big_p-{F}(V0), big_p-{F}(V1), P_sk1-{F}(V1), big_p-{F}(V2), P_a-{F}(V2), P_f-{F}(V1,V3), P_f-{F}(V3,V0), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_sk2-{F}(V6), P_f-{F}(V6,V7), P_f-{F}(V8,V7) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #92: mergings( V3 == V7, V7 == V9, V0 == V11, V2 == V8, V4 == V10, V6 == V13, V11 == V14; #83 ), references = 1, size of lhs = 13:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V2,V4), P_f-{F}(V5,V2), P_sk2-{F}(V6), P_f-{F}(V6,V4), P_f-{F}(V7,V4), P_f-{F}(V8,V4), P_f-{F}(V9,V8) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #100: mergings( V3 == V7, V7 == V9, V0 == V11, V2 == V8, V4 == V10, V6 == V14, V11 == V15; #84 ), references = 1, size of lhs = 14:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V2,V4), P_f-{F}(V5,V2), P_f-{F}(V6,V2), P_sk2-{F}(V7), P_f-{F}(V7,V4), P_f-{F}(V8,V4), P_f-{F}(V9,V4), P_f-{F}(V10,V9) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #108: mergings( V0 == V4, V4 == V8, V6 == V2; #104 ), references = 1, size of lhs = 12:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V5,V6), P_f-{F}(V6,V7), P_f-{F}(V8,V6), P_f-{F}(V9,V8) | big_p-{T}(V7)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #121: mergings( V2 == V3, V3 == V5, V5 == V12, V10 == V0, V4 == V11, V6 == V0, V8 == V14, V9 == V15; #111 ), references = 1, size of lhs = 13:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_sk2-{F}(V5), P_f-{F}(V5,V6), P_f-{F}(V6,V2), P_f-{F}(V7,V6), P_f-{F}(V8,V2), P_f-{F}(V9,V8) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #130: mergings( V2 == V3, V3 == V5, V5 == V12, V10 == V0, V4 == V11, V6 == V0, V8 == V15, V9 == V16; #112 ), references = 1, size of lhs = 14:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_f-{F}(V5,V2), P_sk2-{F}(V6), P_f-{F}(V6,V7), P_f-{F}(V7,V2), P_f-{F}(V8,V7), P_f-{F}(V9,V2), P_f-{F}(V10,V9) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #151: mergings( V0 == V7, V7 == V10, V3 == V9, V1 == V11, V2 == V12, V4 == V13, V5 == V14, V6 == V9; #140 ), references = 1, size of lhs = 11:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_sk2-{F}(V1), big_p-{F}(V2), P_a-{F}(V2), P_f-{F}(V0,V3), P_f-{F}(V4,V3), P_f-{F}(V3,V5), P_f-{F}(V1,V6), P_f-{F}(V6,V5) | big_p-{T}(V6)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #160: mergings( V0 == V7, V7 == V11, V3 == V9, V1 == V10, V2 == V12, V4 == V14, V5 == V15, V6 == V9; #141 ), references = 1, size of lhs = 12:
% 0.41/0.58 big_p-{F}(V0), P_sk2-{F}(V0), big_p-{F}(V1), P_sk1-{F}(V1), big_p-{F}(V2), P_a-{F}(V2), P_f-{F}(V1,V3), P_f-{F}(V4,V3), P_f-{F}(V3,V5), P_f-{F}(V6,V3), P_f-{F}(V0,V7), P_f-{F}(V7,V5) | big_p-{T}(V7)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #168: mergings( V0 == V7, V7 == V11, V3 == V9, V1 == V10, V2 == V12, V4 == V14, V5 == V15; #142 ), references = 2, size of lhs = 13:
% 0.41/0.58 big_p-{F}(V0), P_sk2-{F}(V0), big_p-{F}(V1), P_sk1-{F}(V1), big_p-{F}(V2), P_a-{F}(V2), P_f-{F}(V1,V3), P_f-{F}(V4,V3), P_f-{F}(V3,V5), P_f-{F}(V6,V3), P_f-{F}(V0,V7), P_f-{F}(V7,V8), P_f-{F}(V9,V7) | big_p-{T}(V7)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #185: mergings( V4 == V10, V10 == V14, V8 == V12, V3 == V13, V0 == V15, V2 == V17, V7 == V18; #177 ), references = 1, size of lhs = 14:
% 0.41/0.58 big_p-{F}(V0), P_sk2-{F}(V0), big_p-{F}(V1), P_sk1-{F}(V1), big_p-{F}(V2), P_a-{F}(V2), P_f-{F}(V1,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_f-{F}(V6,V3), P_f-{F}(V0,V7), P_f-{F}(V8,V7), P_f-{F}(V9,V7), P_f-{F}(V7,V10) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #197: mergings( V3 == V9, V9 == V14, V14 == V17, V2 == V8, V4 == V10, V8 == V16, V10 == V18, V6 == V7, V7 == V20; #187 ), references = 1, size of lhs = 13:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V0,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_f-{F}(V5,V2), P_f-{F}(V6,V2), P_sk2-{F}(V7), P_f-{F}(V7,V8), P_f-{F}(V9,V8), P_f-{F}(V10,V8) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #204: mergings( V2 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V11; #198 ), references = 3, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #209: mergings( V2 == V3, V3 == V4, V4 == V6; #205 ), references = 3, size of lhs = 5:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #214: mergings( V1 == V2, V2 == V3, V3 == V5; #210 ), references = 4, size of lhs = 4:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #223: mergings( V0 == V4, V4 == V7; #218 ), references = 1, size of lhs = 7:
% 0.41/0.58 P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_f-{F}(V2,V0), P_f-{F}(V3,V2), P_f-{F}(V4,V2), P_f-{F}(V5,V4) | big_p-{T}(V5)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #226: mergings( V0 == V4, V4 == V7; #219 ), references = 1, size of lhs = 8:
% 0.41/0.58 P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V3,V0), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_f-{F}(V6,V5) | big_p-{T}(V6)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #229: mergings( V0 == V4, V4 == V7; #220 ), references = 1, size of lhs = 11:
% 0.41/0.58 P_sk1-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_f-{F}(V6,V0), P_f-{F}(V7,V6), P_f-{F}(V8,V6), P_f-{F}(V9,V8) | big_p-{T}(V9)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #254: mergings( V0 == V4, V4 == V10, V2 == V8, V3 == V9, V5 == V8, V6 == V9; #245 ), references = 2, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_sk2-{F}(V1), P_f-{F}(V1,V2), P_sk1-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V3,V0), big_p-{F}(V4), P_a-{F}(V4) | big_p-{T}(V3)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #262: mergings( V0 == V4, V4 == V10, V2 == V8, V3 == V9, V5 == V8, V6 == V9, V1 == V11; #246 ), references = 1, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V0), big_p-{F}(V3), P_a-{F}(V3), P_sk2-{F}(V4), P_f-{F}(V4,V1) | big_p-{T}(V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #271: mergings( V0 == V4, V4 == V10, V2 == V8, V3 == V9, V5 == V8, V6 == V9, V1 == V11, V8 == V12; #247 ), references = 1, size of lhs = 10:
% 0.41/0.58 big_p-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V0), big_p-{F}(V3), P_a-{F}(V3), P_sk2-{F}(V4), P_f-{F}(V4,V1), P_f-{F}(V5,V1), P_f-{F}(V6,V1) | big_p-{T}(V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #284: mergings( V0 == V7, V7 == V8, V5 == V9, V6 == V10, V4 == V11, V9 == V12; #277 ), references = 1, size of lhs = 9:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V1), P_f-{F}(V1,V3), P_f-{F}(V3,V4), P_f-{F}(V5,V4), P_f-{F}(V6,V5) | big_p-{T}(V6)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #298: mergings( V2 == V5, V5 == V6, V6 == V11, V4 == V7, V7 == V10, V3 == V8, V10 == V9; #288 ), references = 1, size of lhs = 6:
% 0.41/0.58 P_sk2-{F}(V0), P_f-{F}(V0,V1), P_sk1-{F}(V1), P_f-{F}(V1,V2), big_p-{F}(V3), P_a-{F}(V3) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #306: mergings( V2 == V4, V4 == V5, V5 == V7, V3 == V6; #299 ), references = 1, size of lhs = 5:
% 0.41/0.58 P_sk1-{F}(V0), P_sk2-{F}(V1), P_f-{F}(V1,V0), big_p-{F}(V2), P_a-{F}(V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #314: mergings( V0 == V4; #310 ), references = 3, size of lhs = 5:
% 0.41/0.58 P_sk1-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V1,V2), big_p-{F}(V3), P_a-{F}(V3) | big_p-{T}(V2)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #320: mergings( V2 == V4, V4 == V5, V3 == V6; #316 ), references = 1, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_sk2-{F}(V3), P_f-{F}(V3,V4), P_f-{F}(V4,V5), big_p-{F}(V5) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #324: mergings( V2 == V3, V3 == V4; #321 ), references = 3, size of lhs = 7:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), big_p-{F}(V4) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #328: mergings( V2 == V4; #326 ), references = 2, size of lhs = 7:
% 0.41/0.58 big_p-{F}(V0), P_f-{F}(V1,V0), big_p-{F}(V2), P_a-{F}(V2), P_sk1-{F}(V3), P_sk2-{F}(V4), P_f-{F}(V4,V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #337: mergings( V3 == V4, V2 == V5; #332 ), references = 1, size of lhs = 6:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_sk2-{F}(V3), P_f-{F}(V3,V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #345: mergings( V0 == V4; #341 ), references = 2, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V5,V4), P_f-{F}(V6,V5) | big_p-{T}(V6)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #347: mergings( V0 == V5; #342 ), references = 1, size of lhs = 8:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V3), P_f-{F}(V6,V5) | big_p-{T}(V6)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #349: mergings( V0 == V4; #343 ), references = 1, size of lhs = 9:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_sk2-{F}(V3), P_f-{F}(V3,V4), P_f-{F}(V4,V5), P_f-{F}(V6,V5), P_f-{F}(V7,V6) | big_p-{T}(V7)
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #362: mergings( V2 == V5, V5 == V11, V3 == V6, V6 == V12, V4 == V9, V9 == V13; #355 ), references = 2, size of lhs = 9:
% 0.41/0.58 big_p-{F}(V0), big_p-{F}(V1), P_a-{F}(V1), P_sk1-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V3,V0), P_sk2-{F}(V4), P_f-{F}(V4,V5), P_f-{F}(V6,V5) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #376: mergings( V3 == V4, V2 == V5; #373 ), references = 1, size of lhs = 7:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_f-{F}(V1,V2), P_sk2-{F}(V3), P_f-{F}(V3,V4), P_f-{F}(V5,V4) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #379: mergings( V2 == V3; #377 ), references = 1, size of lhs = 6:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2), P_f-{F}(V2,V3), P_f-{F}(V4,V3) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #382: mergings( V2 == V3; #380 ), references = 1, size of lhs = 4:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1), P_sk2-{F}(V2) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #385: mergings( V1 == V2; #383 ), references = 1, size of lhs = 3:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0), P_sk1-{F}(V1) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #388: mergings( V1 == V2; #386 ), references = 1, size of lhs = 2:
% 0.41/0.58 big_p-{F}(V0), P_a-{F}(V0) | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 #391: exists( #7, #389 ), references = 1, size of lhs = 0:
% 0.41/0.58 FALSE | FALSE
% 0.41/0.58 (used 0 times, uses = {})
% 0.41/0.58
% 0.41/0.58 number of learnt formulas = 43
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58
% 0.41/0.58 randbase = 1
%------------------------------------------------------------------------------