TSTP Solution File: LAT138-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT138-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:07:58 EDT 2022
% Result : Unsatisfiable 31.76s 31.96s
% Output : Refutation 31.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT138-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 : Fri Jul 22 20:22:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 31.76/31.96 GeoParameters:
% 31.76/31.96
% 31.76/31.96 tptp_input = 1
% 31.76/31.96 tptp_output = 0
% 31.76/31.96 nonempty = 1
% 31.76/31.96 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.76/31.96 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 31.76/31.96
% 31.76/31.96
% 31.76/31.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.76/31.96 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.76/31.96
% 31.76/31.96 RuleSystem INPUT:
% 31.76/31.96
% 31.76/31.96 Initial Rules:
% 31.76/31.96 #0: input, references = 4, size of lhs = 2:
% 31.76/31.96 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #1: input, references = 4, size of lhs = 2:
% 31.76/31.96 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #2: input, references = 4, size of lhs = 3:
% 31.76/31.96 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #3: input, references = 4, size of lhs = 3:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #4: input, references = 4, size of lhs = 3:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #5: input, references = 4, size of lhs = 3:
% 31.76/31.96 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #6: input, references = 5, size of lhs = 5:
% 31.76/31.96 P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #7: input, references = 5, size of lhs = 5:
% 31.76/31.96 P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #8: input, references = 5, size of lhs = 11:
% 31.76/31.96 P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V1,V6), P_join-{F}(V0,V1,V7), P_meet-{F}(V2,V7,V8), P_join-{F}(V6,V8,V9), P_meet-{F}(V0,V9,V10), P_join-{F}(V1,V10,V11), P_meet-{F}(V0,V11,V12), V5 == V12 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #9: input, references = 7, size of lhs = 10:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V9), P_join-{F}(V0,V1,V6), P_meet-{F}(V2,V6,V7), P_join-{F}(V9,V7,V8), P_meet-{F}(V0,V8,V9) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #10: input, references = 14, size of lhs = 2:
% 31.76/31.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #11: input, references = 16, size of lhs = 2:
% 31.76/31.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #12: input, references = 4, size of lhs = 0:
% 31.76/31.96 FALSE | EXISTS V0: P_a-{T}(V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #13: input, references = 4, size of lhs = 0:
% 31.76/31.96 FALSE | EXISTS V0: P_b-{T}(V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #14: input, references = 5, size of lhs = 0:
% 31.76/31.96 FALSE | EXISTS V0: P_c-{T}(V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 number of initial rules = 15
% 31.76/31.96
% 31.76/31.96 Simplifiers:
% 31.76/31.96 #15: unsound, references = 3, size of lhs = 3:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #16: unsound, references = 3, size of lhs = 3:
% 31.76/31.96 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #17: unsound, references = 3, size of lhs = 3:
% 31.76/31.96 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #18: unsound, references = 3, size of lhs = 3:
% 31.76/31.96 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #19: unsound, references = 3, size of lhs = 3:
% 31.76/31.96 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 number of simplifiers = 5
% 31.76/31.96
% 31.76/31.96 Learnt:
% 31.76/31.96 #21: exists( #10, #0 ), references = 1, size of lhs = 1:
% 31.76/31.96 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #24: exists( #11, #1 ), references = 1, size of lhs = 1:
% 31.76/31.96 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #25: exists( #11, #3 ), references = 14, size of lhs = 1:
% 31.76/31.96 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #27: exists( #10, #4 ), references = 19, size of lhs = 1:
% 31.76/31.96 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #31: exists( #10, #29 ), references = 1, size of lhs = 5:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0), P_c-{F}(V1) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #33: exists( #14, #30 ), references = 1, size of lhs = 4:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V0), P_meet-{F}(V0,V0,V0), P_join-{F}(V0,V0,V0) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #36: exists( #11, #5 ), references = 17, size of lhs = 1:
% 31.76/31.96 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #39: exists( #10, #2 ), references = 17, size of lhs = 1:
% 31.76/31.96 P_join-{F}(V0,V1,V2) | P_meet-{T}(V0,V2,V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #40: exists( #10, #6 ), references = 8, size of lhs = 3:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #57: exists( #11, #55 ), references = 1, size of lhs = 6:
% 31.76/31.96 P_a-{F}(V0), P_c-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V0,V0,V2), P_meet-{F}(V0,V2,V0) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #80: exists( #10, #73 ), references = 2, size of lhs = 9:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V1,V6), P_meet-{F}(V6,V0,V7), P_meet-{F}(V2,V7,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #81: exists( #10, #77 ), references = 2, size of lhs = 5:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_join-{F}(V4,V5,V0), P_meet-{F}(V3,V6,V5), P_meet-{F}(V0,V7,V6) | P_meet-{T}(V3,V0,V0)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #86: exists( #11, #84 ), references = 1, size of lhs = 5:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V2,V0,V0), P_meet-{F}(V0,V2,V0) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #105: exists( #11, #103 ), references = 3, size of lhs = 7:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V2,V0,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #109: exists( #11, #7 ), references = 4, size of lhs = 3:
% 31.76/31.96 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #112: exists( #10, #8 ), references = 1, size of lhs = 9:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V3,V6), P_join-{F}(V0,V3,V7), P_meet-{F}(V1,V7,V8), P_join-{F}(V6,V8,V9), P_meet-{F}(V0,V9,V10), P_join-{F}(V3,V10,V11) | P_meet-{T}(V0,V11,V5)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #121: exists( #11, #117 ), references = 1, size of lhs = 11:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V3,V6), P_join-{F}(V0,V3,V7), P_meet-{F}(V1,V7,V8), P_join-{F}(V6,V8,V9), P_meet-{F}(V0,V9,V10), P_meet-{F}(V11,V0,V10), P_meet-{F}(V11,V5,V12), V10 == V12 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #122: exists( #11, #118 ), references = 1, size of lhs = 15:
% 31.76/31.96 P_meet-{F}(V0,V1,V0), P_meet-{F}(V1,V2,V0), P_meet-{F}(V0,V3,V4), P_meet-{F}(V1,V3,V5), P_join-{F}(V1,V3,V6), P_join-{F}(V5,V7,V2), P_meet-{F}(V8,V6,V7), P_meet-{F}(V1,V8,V9), P_join-{F}(V3,V9,V10), P_meet-{F}(V1,V10,V11), P_join-{F}(V4,V11,V12), P_meet-{F}(V0,V12,V13), P_join-{F}(V3,V13,V14), P_meet-{F}(V0,V14,V15), V0 == V15 | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #136: exists( #10, #132 ), references = 2, size of lhs = 9:
% 31.76/31.96 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V5,V6), P_meet-{F}(V0,V3,V7), P_join-{F}(V0,V3,V8), P_meet-{F}(V1,V8,V9), P_join-{F}(V7,V9,V10), P_meet-{F}(V10,V6,V11) | P_meet-{T}(V0,V10,V11)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #138: mergings( V5 == V10; #135 ), references = 1, size of lhs = 12:
% 31.76/31.96 P_join-{F}(V0,V1,V0), P_meet-{F}(V2,V0,V3), P_join-{F}(V2,V0,V4), P_meet-{F}(V5,V4,V6), P_join-{F}(V3,V6,V7), P_meet-{F}(V7,V3,V8), P_meet-{F}(V2,V5,V9), P_join-{F}(V0,V9,V10), P_meet-{F}(V2,V10,V11), P_join-{F}(V8,V11,V12), P_meet-{F}(V2,V12,V13), P_meet-{F}(V7,V13,V1) | P_meet-{T}(V2,V7,V8)
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #144: exists( #11, #142 ), references = 3, size of lhs = 15:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V1,V6), P_meet-{F}(V2,V6,V7), P_meet-{F}(V0,V8,V5), P_join-{F}(V0,V8,V9), P_meet-{F}(V10,V9,V7), P_meet-{F}(V0,V10,V11), P_join-{F}(V8,V11,V12), P_meet-{F}(V0,V12,V13), P_meet-{F}(V0,V13,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #147: mergings( V5 == V9; #145 ), references = 2, size of lhs = 12:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_join-{F}(V0,V4,V3), P_meet-{F}(V0,V4,V5), P_meet-{F}(V0,V2,V6), P_join-{F}(V1,V6,V7), P_meet-{F}(V0,V7,V5), P_join-{F}(V4,V6,V8), P_meet-{F}(V0,V8,V9), P_meet-{F}(V0,V9,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #152: mergings( V4 == V7, V5 == V8, V6 == V9; #148 ), references = 1, size of lhs = 8:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V1,V3), P_meet-{F}(V0,V3,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_meet-{F}(V0,V5,V3) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #159: mergings( V4 == V5; #157 ), references = 1, size of lhs = 5:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V1) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #216: exists( #11, #210 ), references = 1, size of lhs = 9:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V3), P_meet-{F}(V4,V0,V3), P_meet-{F}(V4,V3,V3), P_meet-{F}(V4,V5,V1), P_join-{F}(V5,V1,V1) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #240: exists( #11, #236 ), references = 1, size of lhs = 12:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V2,V0,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V0,V4,V5), P_meet-{F}(V6,V5,V1), P_meet-{F}(V0,V6,V7), P_join-{F}(V4,V7,V8), P_meet-{F}(V0,V8,V9), P_meet-{F}(V0,V9,V3) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #254: exists( #10, #250 ), references = 1, size of lhs = 8:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V1,V4,V5), P_join-{F}(V0,V5,V3), P_join-{F}(V5,V4,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #255: exists( #10, #251 ), references = 1, size of lhs = 11:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V2,V5,V6), P_join-{F}(V0,V4,V7), P_meet-{F}(V8,V7,V6), P_meet-{F}(V0,V8,V9), P_join-{F}(V4,V9,V4) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #268: exists( #11, #264 ), references = 1, size of lhs = 7:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_join-{F}(V0,V1,V3), P_meet-{F}(V0,V2,V4), P_join-{F}(V0,V4,V5), P_join-{F}(V5,V1,V3) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #269: exists( #11, #265 ), references = 1, size of lhs = 10:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V1,V4), P_meet-{F}(V2,V4,V5), P_meet-{F}(V0,V6,V3), P_join-{F}(V0,V3,V7), P_join-{F}(V7,V1,V8), P_meet-{F}(V6,V8,V5) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #271: exists( #11, #266 ), references = 1, size of lhs = 5:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V0,V3,V0) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #275: exists( #10, #273 ), references = 1, size of lhs = 3:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #277: exists( #14, #274 ), references = 1, size of lhs = 2:
% 31.76/31.96 P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #279: exists( #13, #276 ), references = 1, size of lhs = 1:
% 31.76/31.96 P_a-{F}(V0) | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 #281: exists( #12, #278 ), references = 1, size of lhs = 0:
% 31.76/31.96 FALSE | FALSE
% 31.76/31.96 (used 0 times, uses = {})
% 31.76/31.96
% 31.76/31.96 number of learnt formulas = 35
% 31.76/31.96
% 31.76/31.96
% 31.76/31.96 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.76/31.96
% 31.76/31.96 randbase = 1
%------------------------------------------------------------------------------