TSTP Solution File: LAT023-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:07:48 EDT 2022
% Result : Unsatisfiable 6.75s 6.94s
% Output : Refutation 6.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.14 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 20:22:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 6.75/6.94 GeoParameters:
% 6.75/6.94
% 6.75/6.94 tptp_input = 1
% 6.75/6.94 tptp_output = 0
% 6.75/6.94 nonempty = 1
% 6.75/6.94 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.94 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 6.75/6.94
% 6.75/6.94
% 6.75/6.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.94 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.94
% 6.75/6.94 RuleSystem INPUT:
% 6.75/6.94
% 6.75/6.94 Initial Rules:
% 6.75/6.94 #0: input, references = 4, size of lhs = 2:
% 6.75/6.94 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #1: input, references = 4, size of lhs = 2:
% 6.75/6.94 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #2: input, references = 4, size of lhs = 3:
% 6.75/6.94 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #3: input, references = 4, size of lhs = 3:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #4: input, references = 4, size of lhs = 5:
% 6.75/6.94 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
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #5: input, references = 5, size of lhs = 5:
% 6.75/6.94 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
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #6: input, references = 5, size of lhs = 5:
% 6.75/6.94 P_join-{F}(V1,V2,V3), P_meet-{F}(V0,V3,V4), P_meet-{F}(V0,V1,V5), P_join-{F}(V4,V5,V6), V6 == V4 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #7: input, references = 4, size of lhs = 5:
% 6.75/6.94 P_meet-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_meet-{F}(V4,V5,V6), V6 == V4 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #8: input, references = 5, size of lhs = 7:
% 6.75/6.94 P_join-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_join-{F}(V4,V1,V5), P_join-{F}(V2,V1,V6), P_meet-{F}(V6,V0,V7), P_join-{F}(V7,V1,V8), V5 == V8 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #9: input, references = 14, size of lhs = 8:
% 6.75/6.94 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,V7), P_meet-{F}(V0,V1,V6), P_join-{F}(V6,V3,V7) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #10: input, references = 23, size of lhs = 2:
% 6.75/6.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #11: input, references = 20, size of lhs = 2:
% 6.75/6.94 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #12: input, references = 4, size of lhs = 0:
% 6.75/6.94 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #13: input, references = 4, size of lhs = 0:
% 6.75/6.94 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #14: input, references = 5, size of lhs = 0:
% 6.75/6.94 FALSE | EXISTS V0: P_c-{T}(V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 number of initial rules = 15
% 6.75/6.94
% 6.75/6.94 Simplifiers:
% 6.75/6.94 #15: unsound, references = 3, size of lhs = 3:
% 6.75/6.94 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #16: unsound, references = 3, size of lhs = 3:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #17: unsound, references = 3, size of lhs = 3:
% 6.75/6.94 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #18: unsound, references = 3, size of lhs = 3:
% 6.75/6.94 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #19: unsound, references = 3, size of lhs = 3:
% 6.75/6.94 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 number of simplifiers = 5
% 6.75/6.94
% 6.75/6.94 Learnt:
% 6.75/6.94 #21: exists( #10, #0 ), references = 6, size of lhs = 1:
% 6.75/6.94 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #23: exists( #11, #1 ), references = 7, size of lhs = 1:
% 6.75/6.94 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #25: exists( #10, #2 ), references = 45, size of lhs = 1:
% 6.75/6.94 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #28: exists( #11, #3 ), references = 40, size of lhs = 1:
% 6.75/6.94 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #29: exists( #11, #6 ), references = 15, size of lhs = 3:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V2,V4), P_meet-{F}(V3,V0,V5) | P_join-{T}(V4,V5,V4)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #32: exists( #10, #7 ), references = 13, size of lhs = 3:
% 6.75/6.94 P_meet-{F}(V0,V1,V2), P_join-{F}(V3,V2,V4), P_join-{F}(V3,V0,V5) | P_meet-{T}(V4,V5,V4)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #37: exists( #11, #35 ), references = 1, size of lhs = 7:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V4,V0), P_meet-{F}(V4,V5,V3) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #40: exists( #10, #38 ), references = 1, size of lhs = 5:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_join-{F}(V1,V0,V0), P_c-{F}(V2) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #42: exists( #14, #39 ), references = 1, size of lhs = 4:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V0,V1,V1), P_join-{F}(V1,V0,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #49: exists( #10, #4 ), references = 22, size of lhs = 3:
% 6.75/6.94 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5) | P_meet-{T}(V2,V3,V5)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #52: exists( #11, #5 ), references = 17, size of lhs = 3:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V3,V4), P_join-{F}(V0,V4,V5) | P_join-{T}(V2,V3,V5)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #59: exists( #11, #57 ), references = 1, size of lhs = 8:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V4,V3,V0), P_join-{F}(V3,V5,V0), P_meet-{F}(V1,V6,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #69: exists( #11, #67 ), references = 7, size of lhs = 6:
% 6.75/6.94 P_join-{F}(V0,V0,V0), P_join-{F}(V0,V1,V2), P_join-{F}(V2,V0,V3), P_meet-{F}(V1,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V6,V0,V7) | P_join-{T}(V0,V5,V7)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #77: exists( #10, #75 ), references = 1, size of lhs = 11:
% 6.75/6.94 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V4,V5,V1), P_join-{F}(V6,V3,V0), P_join-{F}(V3,V7,V6), P_meet-{F}(V7,V8,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #107: mergings( V5 == V6; #105 ), references = 1, size of lhs = 8:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V4,V1,V4), P_join-{F}(V3,V5,V0), P_meet-{F}(V5,V6,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #111: exists( #10, #109 ), references = 1, size of lhs = 8:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V4,V0), P_meet-{F}(V4,V5,V1), P_meet-{F}(V1,V6,V1), P_join-{F}(V6,V7,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #129: exists( #10, #127 ), references = 1, size of lhs = 16:
% 6.75/6.94 P_a-{F}(V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_join-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V3,V4,V3), P_meet-{F}(V5,V3,V0), P_meet-{F}(V1,V5,V6), P_join-{F}(V4,V7,V6), P_join-{F}(V8,V1,V8), P_meet-{F}(V1,V9,V8), P_join-{F}(V9,V10,V0), P_join-{F}(V11,V1,V6), P_join-{F}(V1,V12,V11), P_meet-{F}(V12,V13,V3) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #144: exists( #11, #142 ), references = 5, size of lhs = 11:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V1,V4), P_join-{F}(V4,V3,V5), P_meet-{F}(V6,V0,V5), P_join-{F}(V1,V7,V6), P_meet-{F}(V7,V8,V3), P_join-{F}(V3,V9,V5), P_meet-{F}(V1,V10,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #149: exists( #10, #147 ), references = 1, size of lhs = 8:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V1,V4,V1), P_meet-{F}(V4,V5,V3), P_meet-{F}(V0,V6,V3), P_join-{F}(V6,V7,V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #168: exists( #10, #166 ), references = 10, size of lhs = 6:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_join-{F}(V5,V4,V2), P_join-{F}(V3,V4,V6), P_meet-{F}(V6,V5,V7), P_join-{F}(V7,V4,V8) | P_meet-{T}(V3,V2,V8)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #189: exists( #11, #187 ), references = 2, size of lhs = 18:
% 6.75/6.94 P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V1,V0,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V1,V3,V3), P_meet-{F}(V2,V3,V3), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V6,V5), P_meet-{F}(V6,V7,V3), P_meet-{F}(V8,V9,V0), P_join-{F}(V8,V0,V10), P_meet-{F}(V10,V11,V3), P_join-{F}(V11,V0,V12), P_join-{F}(V9,V13,V12), P_join-{F}(V8,V14,V15), P_meet-{F}(V12,V15,V16), P_join-{F}(V16,V5,V17), V17 == V16 | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #193: exists( #11, #191 ), references = 3, size of lhs = 18:
% 6.75/6.94 P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V1,V0,V2), P_join-{F}(V3,V3,V3), P_meet-{F}(V1,V3,V3), P_meet-{F}(V2,V3,V3), P_meet-{F}(V0,V4,V5), P_join-{F}(V0,V6,V5), P_meet-{F}(V6,V7,V3), P_join-{F}(V8,V5,V9), P_join-{F}(V10,V8,V11), P_meet-{F}(V12,V13,V0), P_join-{F}(V12,V0,V14), P_meet-{F}(V14,V15,V3), P_join-{F}(V15,V0,V16), P_join-{F}(V13,V17,V16), P_meet-{F}(V16,V18,V11), P_join-{F}(V12,V19,V18) | P_join-{T}(V9,V10,V11)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #221: exists( #11, #219 ), references = 2, size of lhs = 28:
% 6.75/6.94 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,V1,V5), P_join-{F}(V6,V6,V6), P_meet-{F}(V7,V6,V6), P_join-{F}(V7,V6,V8), P_meet-{F}(V9,V9,V6), P_join-{F}(V6,V9,V6), P_join-{F}(V9,V6,V10), P_meet-{F}(V10,V5,V11), P_join-{F}(V11,V11,V11), P_meet-{F}(V7,V11,V11), P_meet-{F}(V8,V11,V11), P_join-{F}(V12,V6,V4), P_meet-{F}(V13,V12,V5), P_join-{F}(V14,V6,V13), P_meet-{F}(V14,V15,V6), P_join-{F}(V15,V16,V4), P_meet-{F}(V17,V14,V0), P_join-{F}(V6,V18,V17), P_meet-{F}(V18,V19,V5), P_join-{F}(V6,V20,V3), P_meet-{F}(V6,V21,V20), P_join-{F}(V6,V22,V20), P_meet-{F}(V22,V23,V11) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #230: exists( #11, #228 ), references = 2, size of lhs = 25:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V5,V3,V3), P_join-{F}(V5,V3,V6), P_meet-{F}(V7,V7,V3), P_join-{F}(V3,V7,V3), P_join-{F}(V7,V3,V8), P_meet-{F}(V8,V4,V9), P_join-{F}(V9,V9,V9), P_meet-{F}(V5,V9,V9), P_meet-{F}(V6,V9,V9), P_meet-{F}(V10,V3,V3), P_join-{F}(V10,V3,V11), P_meet-{F}(V11,V1,V4), P_meet-{F}(V12,V10,V0), P_join-{F}(V3,V13,V12), P_meet-{F}(V13,V14,V4), P_join-{F}(V3,V15,V3), P_meet-{F}(V3,V16,V15), P_join-{F}(V3,V17,V15), P_meet-{F}(V17,V18,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #237: mergings( V8 == V9; #235 ), references = 1, size of lhs = 17:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V4,V4,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V4,V3,V5), P_meet-{F}(V5,V3,V3), P_join-{F}(V5,V3,V5), P_meet-{F}(V0,V5,V0), P_meet-{F}(V6,V3,V3), P_join-{F}(V6,V3,V0), P_join-{F}(V3,V0,V7), P_meet-{F}(V7,V6,V0), P_join-{F}(V3,V7,V3), P_meet-{F}(V3,V8,V7) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #276: exists( #10, #274 ), references = 3, size of lhs = 4:
% 6.75/6.94 P_join-{F}(V0,V1,V2), P_meet-{F}(V3,V0,V4), P_meet-{F}(V2,V5,V4), P_join-{F}(V3,V6,V5) | P_meet-{T}(V2,V3,V4)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #302: exists( #10, #299 ), references = 1, size of lhs = 23:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V4,V3,V3), P_join-{F}(V4,V3,V5), P_meet-{F}(V6,V6,V3), P_join-{F}(V3,V6,V3), P_join-{F}(V6,V3,V7), P_meet-{F}(V8,V3,V3), P_join-{F}(V8,V3,V0), P_join-{F}(V3,V7,V9), P_join-{F}(V3,V9,V3), P_meet-{F}(V3,V10,V9), P_meet-{F}(V0,V11,V0), P_join-{F}(V3,V11,V12), P_meet-{F}(V12,V8,V0), P_meet-{F}(V1,V7,V13), P_meet-{F}(V0,V13,V14), P_join-{F}(V14,V14,V14), P_meet-{F}(V4,V14,V14), P_meet-{F}(V5,V14,V14) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #310: exists( #10, #308 ), references = 1, size of lhs = 20:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V4,V3,V4), P_meet-{F}(V4,V3,V3), P_meet-{F}(V5,V5,V3), P_join-{F}(V3,V5,V3), P_join-{F}(V5,V3,V6), P_meet-{F}(V6,V4,V6), P_meet-{F}(V6,V0,V6), P_meet-{F}(V7,V3,V3), P_join-{F}(V7,V3,V0), P_join-{F}(V3,V6,V8), P_join-{F}(V3,V8,V3), P_meet-{F}(V3,V9,V8), P_meet-{F}(V0,V10,V0), P_join-{F}(V3,V10,V11), P_meet-{F}(V11,V7,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #320: exists( #10, #316 ), references = 2, size of lhs = 8:
% 6.75/6.94 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,V3), P_meet-{F}(V1,V5,V3), P_join-{F}(V0,V6,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #321: exists( #10, #317 ), references = 2, size of lhs = 11:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_join-{F}(V1,V5,V4), P_meet-{F}(V5,V6,V3), P_join-{F}(V3,V7,V3), P_meet-{F}(V1,V8,V7), P_meet-{F}(V1,V9,V3), P_join-{F}(V0,V10,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #336: exists( #11, #332 ), references = 1, size of lhs = 10:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V4,V1,V5), P_join-{F}(V5,V3,V3), P_meet-{F}(V1,V6,V3), P_join-{F}(V0,V7,V6) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #337: exists( #11, #333 ), references = 1, size of lhs = 16:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V5,V1,V5), P_join-{F}(V3,V6,V3), P_meet-{F}(V1,V7,V6), P_meet-{F}(V1,V8,V3), P_join-{F}(V0,V9,V8), P_join-{F}(V10,V4,V10), P_join-{F}(V11,V10,V3), P_meet-{F}(V12,V5,V10), P_join-{F}(V0,V13,V12), P_join-{F}(V12,V10,V14), P_meet-{F}(V14,V5,V11) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #346: exists( #10, #342 ), references = 1, size of lhs = 8:
% 6.75/6.94 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,V3), P_meet-{F}(V0,V5,V3), P_join-{F}(V1,V6,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #347: exists( #10, #343 ), references = 1, size of lhs = 11:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V4,V0,V3), P_join-{F}(V1,V5,V4), P_meet-{F}(V5,V6,V3), P_join-{F}(V3,V7,V3), P_meet-{F}(V1,V8,V7), P_meet-{F}(V0,V9,V3), P_join-{F}(V1,V10,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #364: exists( #10, #360 ), references = 1, size of lhs = 12:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V4,V5), P_join-{F}(V3,V1,V6), P_join-{F}(V6,V3,V7), P_meet-{F}(V1,V7,V8), P_meet-{F}(V0,V8,V9), P_join-{F}(V9,V3,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #365: exists( #10, #361 ), references = 1, size of lhs = 14:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V3,V1,V4), P_join-{F}(V4,V3,V5), P_meet-{F}(V1,V5,V6), P_meet-{F}(V0,V6,V7), P_join-{F}(V7,V3,V8), P_meet-{F}(V9,V0,V8), P_join-{F}(V1,V10,V9), P_meet-{F}(V10,V11,V3) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #380: mergings( V0 == V6; #378 ), references = 1, size of lhs = 14:
% 6.75/6.94 P_join-{F}(V0,V0,V0), P_meet-{F}(V1,V0,V0), P_join-{F}(V1,V0,V2), P_join-{F}(V0,V3,V0), P_meet-{F}(V0,V3,V0), P_join-{F}(V4,V4,V4), P_meet-{F}(V1,V4,V4), P_meet-{F}(V2,V4,V4), P_meet-{F}(V0,V5,V4), P_meet-{F}(V0,V6,V7), P_join-{F}(V0,V8,V7), P_meet-{F}(V8,V9,V4), P_join-{F}(V5,V7,V10), P_join-{F}(V0,V10,V11) | P_join-{T}(V0,V5,V11)
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #469: exists( #11, #463 ), references = 1, size of lhs = 16:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V1,V5), P_meet-{F}(V0,V6,V3), P_join-{F}(V6,V7,V4), P_join-{F}(V8,V3,V4), P_join-{F}(V0,V3,V9), P_meet-{F}(V9,V8,V10), P_meet-{F}(V11,V5,V10), P_join-{F}(V12,V3,V11), P_join-{F}(V3,V13,V12), P_meet-{F}(V13,V14,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #470: exists( #11, #466 ), references = 1, size of lhs = 42:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V1,V4), P_meet-{F}(V1,V5,V4), P_join-{F}(V0,V3,V6), P_meet-{F}(V7,V3,V3), P_join-{F}(V7,V3,V8), P_join-{F}(V9,V9,V9), P_join-{F}(V9,V0,V9), P_join-{F}(V7,V9,V7), P_meet-{F}(V7,V9,V9), P_meet-{F}(V0,V9,V3), P_join-{F}(V3,V9,V3), P_join-{F}(V10,V9,V9), P_meet-{F}(V10,V11,V9), P_meet-{F}(V9,V12,V3), P_join-{F}(V9,V3,V13), P_meet-{F}(V6,V14,V14), P_meet-{F}(V8,V14,V14), P_meet-{F}(V13,V15,V14), P_join-{F}(V15,V3,V16), P_join-{F}(V12,V17,V16), P_join-{F}(V16,V9,V18), P_join-{F}(V11,V19,V18), P_meet-{F}(V20,V4,V14), P_join-{F}(V21,V3,V20), P_join-{F}(V3,V22,V21), P_meet-{F}(V22,V23,V4), P_join-{F}(V14,V24,V14), P_meet-{F}(V3,V25,V24), P_join-{F}(V26,V9,V27), P_join-{F}(V1,V28,V27), P_meet-{F}(V28,V29,V3), P_join-{F}(V3,V30,V27), P_meet-{F}(V18,V31,V27), P_join-{F}(V10,V32,V31), P_meet-{F}(V33,V30,V14), P_join-{F}(V3,V34,V33), P_meet-{F}(V34,V35,V14) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #479: exists( #10, #473 ), references = 1, size of lhs = 15:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V1,V3,V4), P_meet-{F}(V0,V5,V3), P_join-{F}(V5,V6,V4), P_join-{F}(V7,V3,V4), P_join-{F}(V0,V3,V8), P_meet-{F}(V8,V7,V9), P_join-{F}(V3,V0,V10), P_join-{F}(V10,V3,V11), P_meet-{F}(V1,V11,V12), P_meet-{F}(V0,V12,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #480: exists( #10, #476 ), references = 1, size of lhs = 40:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V3,V0,V5), P_join-{F}(V5,V3,V6), P_meet-{F}(V1,V6,V7), P_meet-{F}(V0,V7,V8), P_meet-{F}(V4,V8,V8), P_join-{F}(V3,V6,V9), P_meet-{F}(V9,V10,V8), P_join-{F}(V3,V10,V11), P_join-{F}(V1,V12,V11), P_meet-{F}(V12,V13,V3), P_meet-{F}(V14,V3,V3), P_join-{F}(V14,V3,V15), P_meet-{F}(V15,V8,V8), P_join-{F}(V8,V16,V8), P_meet-{F}(V3,V17,V16), P_join-{F}(V18,V18,V18), P_join-{F}(V18,V0,V18), P_join-{F}(V14,V18,V14), P_meet-{F}(V14,V18,V18), P_meet-{F}(V0,V18,V3), P_join-{F}(V3,V18,V3), P_join-{F}(V19,V18,V18), P_meet-{F}(V19,V20,V18), P_meet-{F}(V18,V21,V3), P_join-{F}(V18,V3,V22), P_meet-{F}(V22,V23,V8), P_join-{F}(V23,V3,V24), P_join-{F}(V21,V25,V24), P_join-{F}(V24,V18,V26), P_join-{F}(V20,V27,V26), P_join-{F}(V28,V18,V11), P_meet-{F}(V26,V29,V11), P_join-{F}(V19,V30,V29) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #490: exists( #11, #485 ), references = 1, size of lhs = 13:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V0,V3,V5), P_meet-{F}(V5,V1,V6), P_join-{F}(V3,V0,V7), P_join-{F}(V7,V3,V8), P_meet-{F}(V1,V8,V9), P_meet-{F}(V0,V9,V6) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #496: mergings( V0 == V6, V6 == V7, V7 == V10, V10 == V14, V12 == V13; #489 ), references = 1, size of lhs = 20:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V1,V3,V5), P_meet-{F}(V0,V5,V6), P_meet-{F}(V4,V6,V6), P_meet-{F}(V3,V1,V6), P_meet-{F}(V3,V7,V3), P_join-{F}(V8,V3,V8), P_meet-{F}(V8,V3,V3), P_meet-{F}(V8,V6,V6), P_join-{F}(V6,V9,V6), P_meet-{F}(V3,V10,V9) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #508: exists( #10, #503 ), references = 2, size of lhs = 11:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V0,V3,V5), P_meet-{F}(V5,V0,V5), P_join-{F}(V3,V0,V6), P_join-{F}(V6,V3,V5) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #511: mergings( V0 == V6, V8 == V5; #507 ), references = 1, size of lhs = 15:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_meet-{F}(V1,V1,V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_meet-{F}(V0,V3,V3), P_meet-{F}(V3,V3,V3), P_meet-{F}(V3,V0,V3), P_join-{F}(V3,V0,V3), P_join-{F}(V3,V3,V3), P_join-{F}(V0,V3,V4), P_meet-{F}(V3,V4,V3), P_meet-{F}(V4,V3,V3), P_join-{F}(V4,V3,V4), P_meet-{F}(V3,V5,V3) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #518: exists( #11, #516 ), references = 2, size of lhs = 9:
% 6.75/6.94 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_meet-{F}(V0,V2,V3), P_join-{F}(V3,V3,V3), P_meet-{F}(V0,V4,V3), P_join-{F}(V3,V4,V3), P_join-{F}(V0,V5,V0), P_meet-{F}(V5,V6,V3) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #525: exists( #10, #523 ), references = 1, size of lhs = 5:
% 6.75/6.94 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V2) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #527: exists( #14, #524 ), references = 1, size of lhs = 4:
% 6.75/6.94 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0), P_b-{F}(V1) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #529: exists( #13, #526 ), references = 1, size of lhs = 3:
% 6.75/6.94 P_a-{F}(V0), P_join-{F}(V0,V0,V0), P_meet-{F}(V0,V0,V0) | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 #533: exists( #12, #531 ), references = 1, size of lhs = 0:
% 6.75/6.94 FALSE | FALSE
% 6.75/6.94 (used 0 times, uses = {})
% 6.75/6.94
% 6.75/6.94 number of learnt formulas = 50
% 6.75/6.94
% 6.75/6.94
% 6.75/6.94 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/6.94
% 6.75/6.94 randbase = 1
%------------------------------------------------------------------------------