TSTP Solution File: SET013-4 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET013-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 06:15:33 EDT 2022
% Result : Unsatisfiable 4.80s 4.97s
% Output : Refutation 4.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET013-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.11 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Jul 23 01:53:41 EDT 2022
% 0.11/0.32 % CPUTime :
% 4.80/4.97 GeoParameters:
% 4.80/4.97
% 4.80/4.97 tptp_input = 1
% 4.80/4.97 tptp_output = 0
% 4.80/4.97 nonempty = 1
% 4.80/4.97 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/4.97 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 4.80/4.97
% 4.80/4.97
% 4.80/4.97 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/4.97 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/4.97
% 4.80/4.97 RuleSystem INPUT:
% 4.80/4.97
% 4.80/4.97 Initial Rules:
% 4.80/4.97 #0: input, references = 3, size of lhs = 1:
% 4.80/4.97 member-{F}(V0,V1) | little_set-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #1: input, references = 11, size of lhs = 2:
% 4.80/4.97 P_f1-{F}(V0,V1,V2), V0 == V1 | little_set-{T}(V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #2: input, references = 14, size of lhs = 2:
% 4.80/4.97 P_f1-{F}(V0,V1,V2), V0 == V1 | member-{T}(V2,V0), member-{T}(V2,V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #3: input, references = 32, size of lhs = 4:
% 4.80/4.97 P_f1-{F}(V0,V1,V2), member-{F}(V2,V0), member-{F}(V2,V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #4: input, references = 27, size of lhs = 2:
% 4.80/4.97 P_intersection-{F}(V0,V2,V3), member-{F}(V1,V3) | member-{T}(V1,V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #5: input, references = 15, size of lhs = 2:
% 4.80/4.97 P_intersection-{F}(V2,V0,V3), member-{F}(V1,V3) | member-{T}(V1,V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #6: input, references = 27, size of lhs = 3:
% 4.80/4.97 member-{F}(V1,V0), P_intersection-{F}(V2,V0,V3), member-{F}(V1,V2) | member-{T}(V1,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #7: input, references = 8, size of lhs = 2:
% 4.80/4.97 P_empty_set-{F}(V0), member-{F}(V1,V0) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #8: input, references = 11, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), little_set-{F}(V2) | member-{T}(V2,V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #9: input, references = 5, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), V4 == V5 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #10: input, references = 10, size of lhs = 9:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_intersection-{F}(V3,V2,V6), P_ds-{F}(V7), V6 == V7 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #11: input, references = 4, size of lhs = 8:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V7), P_intersection-{F}(V3,V2,V6), P_ds-{F}(V7) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #12: input, references = 26, size of lhs = 2:
% 4.80/4.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_f1-{T}(V0,V1,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #13: input, references = 18, size of lhs = 2:
% 4.80/4.97 #-{F} V0, #-{F} V1 | EXISTS V2: P_intersection-{T}(V0,V1,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #14: input, references = 4, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #15: input, references = 4, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_universal_set-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #16: input, references = 4, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_as-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #17: input, references = 6, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_bs-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #18: input, references = 8, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_cs-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #19: input, references = 11, size of lhs = 0:
% 4.80/4.97 FALSE | EXISTS V0: P_ds-{T}(V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 number of initial rules = 20
% 4.80/4.97
% 4.80/4.97 Simplifiers:
% 4.80/4.97 #20: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_f1-{F}(V0,V1,V2), P_f1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #21: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #22: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #23: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_universal_set-{F}(V0), P_universal_set-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #24: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_as-{F}(V0), P_as-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #25: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_bs-{F}(V0), P_bs-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #26: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_cs-{F}(V0), P_cs-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #27: unsound, references = 3, size of lhs = 3:
% 4.80/4.97 P_ds-{F}(V0), P_ds-{F}(V1), V0 == V1 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 number of simplifiers = 8
% 4.80/4.97
% 4.80/4.97 Learnt:
% 4.80/4.97 #32: mergings( V3 == V4; #30 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_universal_set-{F}(V0), P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, V1 == V2 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #37: exists( #13, #9 ), references = 6, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_cs-{F}(V4) | P_intersection-{T}(V2,V3,V4)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #39: exists( #13, #11 ), references = 5, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V5) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #49: exists( #12, #46 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V2,V3,V1), P_intersection-{F}(V4,V5,V1), V5 == V2 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #52: mergings( V3 == V5, V6 == V5; #47 ), references = 1, size of lhs = 6:
% 4.80/4.97 P_universal_set-{F}(V0), P_empty_set-{F}(V1), P_intersection-{F}(V1,V1,V0), #-{F} V2, #-{F} V3, V2 == V3 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #56: exists( #13, #10 ), references = 6, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V6) | P_intersection-{T}(V3,V2,V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #58: disj( #2, input ), references = 1, size of lhs = 5:
% 4.80/4.97 member-{F}(V0,V1), P_f1-{F}(V2,V1,V0), V2 == V1, P_f1-{F}(V2,V3,V0), V2 == V3 | member-{T}(V0,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #61: disj( #2, input ), references = 1, size of lhs = 5:
% 4.80/4.97 member-{F}(V0,V1), P_f1-{F}(V1,V2,V0), V1 == V2, P_f1-{F}(V2,V3,V0), V2 == V3 | member-{T}(V0,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #67: disj( #2, #5+#7 ), references = 8, size of lhs = 4:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V2), P_f1-{F}(V2,V3,V4), V2 == V3 | member-{T}(V4,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #68: disj( #2, #5+#3 ), references = 6, size of lhs = 5:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V2 == V1, P_f1-{F}(V2,V1,V3), P_f1-{F}(V2,V4,V3), V2 == V4 | member-{T}(V3,V4)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #72: mergings( V3 == V1; #70 ), references = 2, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V2), V2 == V0 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #77: mergings( V1 == V3, V3 == V7; #74 ), references = 2, size of lhs = 6:
% 4.80/4.97 P_universal_set-{F}(V0), P_as-{F}(V1), P_empty_set-{F}(V1), P_bs-{F}(V2), P_intersection-{F}(V1,V2,V3), P_cs-{F}(V4) | P_ds-{T}(V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #81: exists( #13, #72 ), references = 1, size of lhs = 2:
% 4.80/4.97 P_empty_set-{F}(V0), #-{F} V1 | P_intersection-{T}(V1,V0,V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #97: mergings( V5 == V0; #95 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V2,V2,V1), P_intersection-{F}(V3,V4,V2), V2 == V3 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #108: mergings( V0 == V3; #106 ), references = 3, size of lhs = 4:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V0,V2,V3), V0 == V3 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #117: mergings( V1 == V5, V3 == V5; #113 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_universal_set-{F}(V0), P_as-{F}(V1), P_empty_set-{F}(V1), P_bs-{F}(V2), P_intersection-{F}(V3,V1,V1) | P_cs-{T}(V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #135: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V9, V2 == V5, V5 == V6, V6 == V10; #127 ), references = 1, size of lhs = 4:
% 4.80/4.97 P_as-{F}(V0), P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_universal_set-{F}(V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #137: exists( #18, #9 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4) | P_cs-{T}(V4)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #142: mergings( V1 == V4, V5 == V4; #139 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_universal_set-{F}(V0), P_as-{F}(V1), P_bs-{F}(V2), P_empty_set-{F}(V2), P_intersection-{F}(V1,V2,V2), P_cs-{F}(V3), P_intersection-{F}(V4,V2,V2) | P_ds-{T}(V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #146: exists( #19, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_intersection-{F}(V3,V2,V6) | P_ds-{T}(V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #157: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #151 ), references = 1, size of lhs = 4:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #160: exists( #13, #108 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), #-{F} V2 | P_intersection-{T}(V0,V2,V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #172: exists( #12, #169 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V1,V1,V2), P_intersection-{F}(V1,V2,V3), V1 == V3 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #189: mergings( V3 == V4, V0 == V4; #186 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V2,V0,V0), P_intersection-{F}(V1,V3,V0), V0 == V3 | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #199: disj( #2, #6+#3 ), references = 1, size of lhs = 7:
% 4.80/4.97 member-{F}(V0,V1), member-{F}(V0,V2), P_f1-{F}(V3,V2,V0), V3 == V2, P_intersection-{F}(V1,V4,V3), P_f1-{F}(V4,V5,V0), V4 == V5 | member-{T}(V0,V5)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #210: exists( #12, #208 ), references = 2, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V1,V2,V3), V3 == V2, P_intersection-{F}(V4,V2,V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #216: mergings( V1 == V5, V2 == V3; #213 ), references = 2, size of lhs = 4:
% 4.80/4.97 P_as-{F}(V0), P_universal_set-{F}(V0), P_bs-{F}(V1), P_empty_set-{F}(V2) | P_cs-{T}(V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #218: exists( #13, #210 ), references = 2, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), #-{F} V2 | P_intersection-{T}(V1,V2,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #231: disj( #2, input ), references = 1, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_f1-{F}(V1,V0,V2), V1 == V0 | member-{T}(V2,V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #232: disj( #2, input ), references = 1, size of lhs = 5:
% 4.80/4.97 member-{F}(V0,V1), P_f1-{F}(V1,V2,V0), V1 == V2, P_f1-{F}(V3,V2,V0), V3 == V2 | member-{T}(V0,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #248: exists( #12, #246 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_intersection-{F}(V0,V0,V1), V1 == V0, P_intersection-{F}(V2,V0,V1) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #250: exists( #13, #247 ), references = 1, size of lhs = 1:
% 4.80/4.97 #-{F} V0 | P_intersection-{T}(V0,V0,V0)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #260: mergings( V0 == V3; #258 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V2,V3,V0), V0 == V2, P_intersection-{F}(V3,V4,V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #280: disj( #2, #4+#3 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V0 == V2, P_f1-{F}(V0,V2,V3), P_f1-{F}(V2,V4,V3), V2 == V4 | member-{T}(V3,V4)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #287: disj( #2, #6+#3 ), references = 1, size of lhs = 6:
% 4.80/4.97 member-{F}(V0,V1), P_f1-{F}(V2,V3,V0), V2 == V3, P_intersection-{F}(V2,V1,V4), V2 == V4, P_f1-{F}(V2,V4,V0) | member-{T}(V0,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #293: exists( #12, #291 ), references = 2, size of lhs = 5:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_intersection-{F}(V2,V1,V3), V2 == V3, P_intersection-{F}(V2,V4,V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #299: mergings( V1 == V7, V2 == V3, V5 == V4; #295 ), references = 1, size of lhs = 6:
% 4.80/4.97 P_as-{F}(V0), P_universal_set-{F}(V0), P_bs-{F}(V1), P_intersection-{F}(V0,V1,V1), P_cs-{F}(V2), P_empty_set-{F}(V3) | P_ds-{T}(V1)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #311: mergings( V1 == V3, V3 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V6, V6 == V9; #303 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_as-{F}(V0), P_universal_set-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #317: exists( #13, #293 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), #-{F} V2 | P_intersection-{T}(V2,V1,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #319: exists( #19, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_intersection-{F}(V3,V2,V6) | P_ds-{T}(V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #330: exists( #13, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V6) | P_intersection-{T}(V3,V2,V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #343: disj( #2, #4+#3 ), references = 6, size of lhs = 5:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V0 == V2, P_f1-{F}(V0,V2,V3), P_f1-{F}(V4,V2,V3), V4 == V2 | member-{T}(V3,V4)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #347: exists( #12, #345 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V0 == V2, P_intersection-{F}(V2,V3,V0) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #354: exists( #12, #352 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V0 == V2, P_intersection-{F}(V3,V2,V0) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #369: exists( #12, #367 ), references = 1, size of lhs = 4:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V0 == V2, P_intersection-{F}(V2,V3,V4), P_intersection-{F}(V5,V4,V0) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #399: exists( #12, #397 ), references = 2, size of lhs = 4:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V2,V0,V3), V2 == V3, P_intersection-{F}(V2,V4,V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #402: exists( #19, #400 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_intersection-{F}(V2,V6,V3) | P_ds-{T}(V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #406: exists( #13, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V6) | P_intersection-{T}(V3,V2,V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #417: exists( #12, #415 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), V2 == V1, P_intersection-{F}(V3,V2,V1) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #429: exists( #12, #427 ), references = 1, size of lhs = 4:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V2,V3), V2 == V3, P_intersection-{F}(V2,V4,V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #431: exists( #13, #399 ), references = 4, size of lhs = 1:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V2,V0,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #450: exists( #12, #448 ), references = 2, size of lhs = 4:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V1,V2,V3), V3 == V2, P_intersection-{F}(V4,V2,V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #453: exists( #19, #451 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_intersection-{F}(V6,V3,V2) | P_ds-{T}(V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #457: exists( #13, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V6) | P_intersection-{T}(V3,V2,V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #459: exists( #13, #450 ), references = 3, size of lhs = 1:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2) | P_intersection-{T}(V1,V2,V2)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #461: exists( #13, #10 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_intersection-{F}(V2,V3,V4), P_cs-{F}(V5), P_ds-{F}(V6) | P_intersection-{T}(V3,V2,V6)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #487: mergings( V0 == V3; #485 ), references = 1, size of lhs = 6:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V2,V3,V0), P_intersection-{F}(V2,V4,V5), V0 == V5, P_intersection-{F}(V6,V3,V5) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #525: mergings( V0 == V3; #523 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V2,V3,V0), V0 == V2, P_intersection-{F}(V4,V5,V2), P_intersection-{F}(V6,V4,V3), P_intersection-{F}(V6,V7,V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #552: exists( #12, #550 ), references = 1, size of lhs = 5:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V2,V3,V4), V2 == V4, P_intersection-{F}(V5,V0,V4), P_intersection-{F}(V6,V5,V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #593: mergings( V0 == V3; #591 ), references = 1, size of lhs = 8:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V2,V3,V0), P_intersection-{F}(V2,V4,V5), V0 == V5, P_intersection-{F}(V5,V6,V3), P_intersection-{F}(V7,V2,V6), P_intersection-{F}(V7,V8,V5) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #596: mergings( V3 == V4, V0 == V4; #590 ), references = 1, size of lhs = 8:
% 4.80/4.97 P_empty_set-{F}(V0), P_intersection-{F}(V1,V0,V0), P_intersection-{F}(V2,V3,V0), P_intersection-{F}(V2,V4,V5), V0 == V5, P_intersection-{F}(V5,V6,V3), P_intersection-{F}(V7,V2,V6), P_intersection-{F}(V7,V8,V5) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #625: disj( #2, #4+#3 ), references = 1, size of lhs = 6:
% 4.80/4.97 member-{F}(V0,V1), P_f1-{F}(V1,V2,V0), V1 == V2, P_intersection-{F}(V2,V3,V4), P_f1-{F}(V4,V5,V0), V4 == V5 | member-{T}(V0,V5)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #638: disj( #2, #4+#5+#6+#3 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_f1-{F}(V2,V3,V4), V2 == V3, P_f1-{F}(V5,V2,V4), V5 == V2, P_intersection-{F}(V6,V0,V5), P_intersection-{F}(V7,V6,V2) | member-{T}(V4,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #645: disj( #2, #4+#5+#6+#3 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_f1-{F}(V3,V2,V4), V3 == V2, P_f1-{F}(V5,V2,V4), V5 == V2, P_intersection-{F}(V6,V0,V5), P_intersection-{F}(V7,V6,V2) | member-{T}(V4,V3)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #651: exists( #12, #649 ), references = 1, size of lhs = 7:
% 4.80/4.97 P_intersection-{F}(V0,V1,V2), P_intersection-{F}(V3,V0,V4), V4 == V2, P_intersection-{F}(V5,V3,V2), P_intersection-{F}(V6,V7,V4), P_intersection-{F}(V8,V6,V2), P_intersection-{F}(V9,V8,V4) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #657: mergings( V5 == V7; #655 ), references = 1, size of lhs = 8:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3), P_cs-{F}(V4), P_intersection-{F}(V2,V3,V5), P_intersection-{F}(V2,V6,V5), P_intersection-{F}(V7,V3,V5) | P_ds-{T}(V5)
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #669: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #664 ), references = 1, size of lhs = 4:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2), P_bs-{F}(V3) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #675: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #670 ), references = 1, size of lhs = 3:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1), P_as-{F}(V2) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #681: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #676 ), references = 1, size of lhs = 2:
% 4.80/4.97 P_empty_set-{F}(V0), P_universal_set-{F}(V1) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #685: mergings( V1 == V2, V2 == V3; #682 ), references = 1, size of lhs = 1:
% 4.80/4.97 P_empty_set-{F}(V0) | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 #687: exists( #14, #682 ), references = 1, size of lhs = 0:
% 4.80/4.97 FALSE | FALSE
% 4.80/4.97 (used 0 times, uses = {})
% 4.80/4.97
% 4.80/4.97 number of learnt formulas = 71
% 4.80/4.97
% 4.80/4.97
% 4.80/4.97 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.80/4.97
% 4.80/4.97 randbase = 1
%------------------------------------------------------------------------------