TSTP Solution File: SET009-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 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 06:15:32 EDT 2022
% Result : Unsatisfiable 1.01s 1.21s
% Output : Refutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 01:54:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.21 GeoParameters:
% 1.01/1.21
% 1.01/1.21 tptp_input = 1
% 1.01/1.21 tptp_output = 0
% 1.01/1.21 nonempty = 1
% 1.01/1.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.01/1.21
% 1.01/1.21
% 1.01/1.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21
% 1.01/1.21 RuleSystem INPUT:
% 1.01/1.21
% 1.01/1.21 Initial Rules:
% 1.01/1.21 #0: input, references = 12, size of lhs = 2:
% 1.01/1.21 subset-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #1: input, references = 10, size of lhs = 1:
% 1.01/1.21 P_member_of_1_not_of_2-{F}(V0,V1,V2) | subset-{T}(V0,V1), member-{T}(V2,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #2: input, references = 15, size of lhs = 2:
% 1.01/1.21 P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V1) | subset-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #3: input, references = 3, size of lhs = 1:
% 1.01/1.21 equal_sets-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #4: input, references = 3, size of lhs = 1:
% 1.01/1.21 equal_sets-{F}(V1,V0) | subset-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #5: input, references = 3, size of lhs = 2:
% 1.01/1.21 subset-{F}(V0,V1), subset-{F}(V1,V0) | equal_sets-{T}(V1,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #6: input, references = 9, size of lhs = 2:
% 1.01/1.21 difference-{F}(V0,V2,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #7: input, references = 15, size of lhs = 3:
% 1.01/1.21 difference-{F}(V2,V0,V1), member-{F}(V3,V0), member-{F}(V3,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #8: input, references = 7, size of lhs = 2:
% 1.01/1.21 member-{F}(V0,V3), difference-{F}(V3,V2,V1) | member-{T}(V0,V1), member-{T}(V0,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #9: input, references = 10, size of lhs = 1:
% 1.01/1.21 P_k-{F}(V0,V1,V2,V3) | difference-{T}(V0,V1,V2), member-{T}(V3,V0), member-{T}(V3,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #10: input, references = 5, size of lhs = 2:
% 1.01/1.21 P_k-{F}(V0,V1,V2,V3), member-{F}(V3,V1) | member-{T}(V3,V2), difference-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #11: input, references = 4, size of lhs = 3:
% 1.01/1.21 P_k-{F}(V0,V1,V2,V3), member-{F}(V3,V2), member-{F}(V3,V0) | member-{T}(V3,V1), difference-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #12: input, references = 4, size of lhs = 2:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1) | subset-{T}(V0,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #13: input, references = 7, size of lhs = 4:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3) | difference-{T}(V2,V1,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #14: input, references = 6, size of lhs = 5:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4) | difference-{T}(V2,V0,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #15: input, references = 8, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), subset-{F}(V3,V4) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #16: input, references = 13, size of lhs = 2:
% 1.01/1.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_member_of_1_not_of_2-{T}(V0,V1,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #17: input, references = 6, size of lhs = 3:
% 1.01/1.21 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_k-{T}(V0,V1,V2,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #18: input, references = 4, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: P_d-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #19: input, references = 4, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #20: input, references = 5, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #21: input, references = 7, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: P_bDa-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #22: input, references = 8, size of lhs = 0:
% 1.01/1.21 FALSE | EXISTS V0: P_bDd-{T}(V0)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of initial rules = 23
% 1.01/1.21
% 1.01/1.21 Simplifiers:
% 1.01/1.21 #23: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_member_of_1_not_of_2-{F}(V0,V1,V2), P_member_of_1_not_of_2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #24: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_k-{F}(V0,V1,V2,V3), P_k-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #25: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #26: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #27: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #28: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_bDa-{F}(V0), P_bDa-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #29: unsound, references = 3, size of lhs = 3:
% 1.01/1.21 P_bDd-{F}(V0), P_bDd-{F}(V1), V0 == V1 | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of simplifiers = 7
% 1.01/1.21
% 1.01/1.21 Learnt:
% 1.01/1.21 #31: disj( #1, input ), references = 6, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), P_member_of_1_not_of_2-{F}(V3,V4,V5) | member-{T}(V5,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #38: exists( #16, #34 ), references = 2, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #42: mergings( V2 == V5, V3 == V6, V4 == V7; #37 ), references = 1, size of lhs = 5:
% 1.01/1.21 P_bDd-{F}(V0), P_bDa-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #44: exists( #22, #36 ), references = 4, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V6,V4,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #50: mergings( V1 == V3, V2 == V4, V4 == V5; #46 ), references = 1, size of lhs = 3:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #59: mergings( V4 == V8, V5 == V9, V6 == V10, V7 == V11, V0 == V2; #53 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), P_member_of_1_not_of_2-{F}(V3,V4,V5), P_k-{F}(V4,V6,V4,V5) | difference-{T}(V4,V6,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #62: disj( #10, input ), references = 1, size of lhs = 4:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), P_k-{F}(V3,V1,V4,V0), difference-{F}(V5,V4,V2) | difference-{T}(V3,V1,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #67: disj( #8, input ), references = 2, size of lhs = 4:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V1,V3,V4), difference-{F}(V5,V3,V2) | member-{T}(V0,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #75: mergings( V3 == V6, V4 == V7, V5 == V8; #71 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), difference-{F}(V3,V5,V4), difference-{F}(V6,V5,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #85: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V10 == V4; #77 ), references = 1, size of lhs = 5:
% 1.01/1.21 P_bDa-{F}(V0), P_b-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), difference-{F}(V3,V1,V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #88: disj( #10, input ), references = 3, size of lhs = 3:
% 1.01/1.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), P_k-{F}(V4,V3,V1,V2) | difference-{T}(V4,V3,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #93: disj( #9, #87+#44, input ), references = 1, size of lhs = 8:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V3,V3), P_k-{F}(V5,V5,V3,V6), difference-{F}(V7,V8,V8), P_k-{F}(V5,V9,V8,V6) | difference-{T}(V5,V9,V8)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #94: disj( #9, #87+#38, input ), references = 1, size of lhs = 9:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V3,V3), P_bDd-{F}(V5), P_k-{F}(V6,V6,V3,V7), difference-{F}(V8,V9,V9), P_k-{F}(V6,V10,V9,V7) | difference-{T}(V6,V10,V9)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #102: mergings( V3 == V7, V4 == V8, V5 == V9; #97 ), references = 2, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V3,V3), difference-{F}(V5,V3,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #105: disj( #11, input ), references = 1, size of lhs = 5:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), P_k-{F}(V2,V3,V1,V0), member-{F}(V0,V4), difference-{F}(V5,V3,V4) | difference-{T}(V2,V3,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #108: disj( #1, #0+#7 ), references = 1, size of lhs = 4:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), P_member_of_1_not_of_2-{F}(V1,V3,V4), difference-{F}(V5,V3,V2) | member-{T}(V4,V1)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #111: disj( #9, input, input ), references = 1, size of lhs = 5:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V1,V4), difference-{F}(V5,V2,V6), P_k-{F}(V4,V7,V6,V0) | difference-{T}(V4,V7,V6)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #122: mergings( V3 == V6, V4 == V7, V5 == V8; #118 ), references = 1, size of lhs = 8:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), difference-{F}(V5,V6,V3), difference-{F}(V5,V7,V4), difference-{F}(V8,V7,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #132: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V11; #124 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V2,V4,V3), difference-{F}(V5,V0,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #143: mergings( V1 == V2, V2 == V5, V5 == V8, V8 == V3, V3 == V6, V6 == V9, V4 == V7, V7 == V10; #134 ), references = 1, size of lhs = 3:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V0), P_b-{F}(V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #151: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V3, V3 == V5, V5 == V7; #144 ), references = 1, size of lhs = 2:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #154: disj( #1, #6+#7 ), references = 4, size of lhs = 3:
% 1.01/1.21 difference-{F}(V0,V1,V2), difference-{F}(V3,V0,V2), P_member_of_1_not_of_2-{F}(V2,V4,V5) | subset-{T}(V2,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #158: exists( #16, #156 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), subset-{F}(V3,V5), difference-{F}(V6,V5,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #160: exists( #22, #157 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), subset-{F}(V3,V4), difference-{F}(V5,V4,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #165: exists( #16, #163 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), difference-{F}(V5,V6,V6), difference-{F}(V6,V7,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #170: disj( #9, #6+#0+#7, #6+#0+#7 ), references = 1, size of lhs = 7:
% 1.01/1.21 subset-{F}(V0,V1), difference-{F}(V0,V2,V3), difference-{F}(V4,V1,V3), subset-{F}(V5,V6), difference-{F}(V5,V7,V8), difference-{F}(V9,V6,V8), P_k-{F}(V3,V10,V8,V11) | difference-{T}(V3,V10,V8)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #177: exists( #17, #171 ), references = 3, size of lhs = 10:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), subset-{F}(V4,V5), difference-{F}(V4,V6,V7), difference-{F}(V8,V5,V7), subset-{F}(V9,V10), difference-{F}(V9,V11,V3), difference-{F}(V12,V10,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #178: exists( #17, #172 ), references = 3, size of lhs = 10:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), subset-{F}(V4,V5), difference-{F}(V4,V6,V7), difference-{F}(V8,V5,V7), subset-{F}(V9,V10), difference-{F}(V9,V11,V3), difference-{F}(V12,V10,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #186: mergings( V1 == V4, V2 == V5, V3 == V6; #181 ), references = 4, size of lhs = 4:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), subset-{F}(V2,V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #191: disj( #8, #0+#7 ), references = 5, size of lhs = 4:
% 1.01/1.21 member-{F}(V0,V1), difference-{F}(V1,V2,V3), subset-{F}(V2,V4), difference-{F}(V5,V2,V4) | member-{T}(V0,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #195: disj( #1, mergings( V1 == V4, V2 == V5, V3 == V6; #181 ) ), references = 2, size of lhs = 4:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_member_of_1_not_of_2-{F}(V2,V1,V3) | member-{T}(V3,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #196: disj( #1, exists( #17, #171 ) ), references = 1, size of lhs = 9:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), P_member_of_1_not_of_2-{F}(V4,V6,V7), difference-{F}(V8,V6,V3), difference-{F}(V4,V9,V10), difference-{F}(V11,V6,V10) | member-{T}(V7,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #197: disj( #1, exists( #17, #172 ) ), references = 1, size of lhs = 9:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), P_member_of_1_not_of_2-{F}(V4,V6,V7), difference-{F}(V8,V6,V3), difference-{F}(V4,V9,V10), difference-{F}(V11,V6,V10) | member-{T}(V7,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #211: mergings( V3 == V4; #207 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), difference-{F}(V2,V3,V1), subset-{F}(V3,V4), difference-{F}(V5,V3,V4) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #219: disj( #1, #88+#154+#191+#7 ), references = 1, size of lhs = 6:
% 1.01/1.21 difference-{F}(V0,V1,V1), P_k-{F}(V0,V0,V1,V2), P_member_of_1_not_of_2-{F}(V0,V3,V2), difference-{F}(V4,V1,V1), difference-{F}(V5,V1,V6), P_member_of_1_not_of_2-{F}(V1,V6,V7) | subset-{T}(V0,V3)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #223: exists( #16, #221 ), references = 1, size of lhs = 7:
% 1.01/1.21 member-{F}(V0,V1), difference-{F}(V1,V2,V2), P_k-{F}(V1,V1,V2,V3), difference-{F}(V4,V2,V2), P_member_of_1_not_of_2-{F}(V1,V5,V3), difference-{F}(V6,V5,V5), difference-{F}(V7,V2,V8) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #225: disj( #1, exists( #16, #221 ) ), references = 1, size of lhs = 7:
% 1.01/1.21 difference-{F}(V0,V1,V1), P_member_of_1_not_of_2-{F}(V2,V1,V3), difference-{F}(V2,V4,V4), P_k-{F}(V2,V2,V4,V3), difference-{F}(V5,V4,V4), P_member_of_1_not_of_2-{F}(V2,V6,V7), difference-{F}(V8,V4,V9) | subset-{T}(V2,V6)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #227: disj( #9, exists( #16, #221 ), exists( #16, #221 ) ), references = 1, size of lhs = 13:
% 1.01/1.21 difference-{F}(V0,V1,V1), P_member_of_1_not_of_2-{F}(V2,V1,V3), difference-{F}(V2,V4,V4), P_k-{F}(V2,V2,V4,V3), difference-{F}(V5,V4,V4), difference-{F}(V6,V4,V7), difference-{F}(V8,V9,V9), P_member_of_1_not_of_2-{F}(V10,V9,V11), difference-{F}(V10,V12,V12), P_k-{F}(V10,V10,V12,V11), difference-{F}(V13,V12,V12), P_k-{F}(V2,V14,V10,V15), difference-{F}(V16,V12,V17) | difference-{T}(V2,V14,V10)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #236: disj( #9, #88+#154+#191+#7, input ), references = 1, size of lhs = 8:
% 1.01/1.21 difference-{F}(V0,V1,V1), difference-{F}(V2,V1,V3), difference-{F}(V4,V3,V3), P_k-{F}(V2,V2,V1,V5), difference-{F}(V6,V1,V7), P_member_of_1_not_of_2-{F}(V1,V7,V8), difference-{F}(V9,V10,V10), P_k-{F}(V2,V11,V10,V5) | difference-{T}(V2,V11,V10)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #240: exists( #16, #238 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), difference-{F}(V2,V3,V4), subset-{F}(V3,V5), difference-{F}(V6,V3,V5), difference-{F}(V7,V2,V4) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #244: exists( #16, #242 ), references = 1, size of lhs = 11:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), difference-{F}(V2,V3,V3), difference-{F}(V4,V3,V3), P_k-{F}(V2,V2,V3,V5), difference-{F}(V6,V3,V3), difference-{F}(V2,V3,V7), difference-{F}(V8,V7,V7), difference-{F}(V9,V3,V10), difference-{F}(V11,V3,V10) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #246: exists( #17, #243 ), references = 1, size of lhs = 10:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), difference-{F}(V2,V3,V3), difference-{F}(V4,V3,V3), difference-{F}(V5,V3,V3), difference-{F}(V2,V3,V6), difference-{F}(V7,V6,V6), difference-{F}(V8,V3,V9), difference-{F}(V10,V3,V9) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #257: disj( #1, #0+#2+#186 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_member_of_1_not_of_2-{F}(V2,V1,V3), subset-{F}(V4,V1), P_member_of_1_not_of_2-{F}(V4,V5,V3) | subset-{T}(V4,V5)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #258: disj( #1, #0+#2+#177 ), references = 1, size of lhs = 11:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V4,V6,V7), subset-{F}(V8,V9), P_member_of_1_not_of_2-{F}(V4,V9,V10), P_member_of_1_not_of_2-{F}(V8,V11,V10), difference-{F}(V12,V9,V7), difference-{F}(V13,V9,V3) | subset-{T}(V8,V11)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #259: disj( #1, #0+#2+#178 ), references = 1, size of lhs = 11:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V4,V6,V7), subset-{F}(V8,V9), P_member_of_1_not_of_2-{F}(V4,V9,V10), P_member_of_1_not_of_2-{F}(V8,V11,V10), difference-{F}(V12,V9,V7), difference-{F}(V13,V9,V3) | subset-{T}(V8,V11)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #262: disj( #8, #0+#7 ), references = 2, size of lhs = 5:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V1,V3,V4), subset-{F}(V3,V5), difference-{F}(V6,V5,V2) | member-{T}(V0,V4)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #269: disj( #8, #2+#186 ), references = 1, size of lhs = 6:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_member_of_1_not_of_2-{F}(V2,V1,V3), member-{F}(V3,V4), difference-{F}(V4,V1,V5) | member-{T}(V3,V5)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #270: disj( #8, #2+#177 ), references = 1, size of lhs = 11:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V4,V6,V7), P_member_of_1_not_of_2-{F}(V4,V8,V9), member-{F}(V9,V10), difference-{F}(V10,V8,V11), difference-{F}(V12,V8,V7), difference-{F}(V13,V8,V3) | member-{T}(V9,V11)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #271: disj( #8, #2+#178 ), references = 1, size of lhs = 11:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V4,V6,V7), P_member_of_1_not_of_2-{F}(V4,V8,V9), member-{F}(V9,V10), difference-{F}(V10,V8,V11), difference-{F}(V12,V8,V7), difference-{F}(V13,V8,V3) | member-{T}(V9,V11)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #273: disj( #9, input, input ), references = 1, size of lhs = 4:
% 1.01/1.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V4,V4), P_k-{F}(V4,V1,V2,V5) | member-{T}(V5,V2)
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #301: mergings( V3 == V6, V4 == V7, V5 == V8; #297 ), references = 1, size of lhs = 9:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), P_bDd-{F}(V4), difference-{F}(V5,V6,V3), difference-{F}(V5,V7,V4), subset-{F}(V7,V8), difference-{F}(V9,V8,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #311: mergings( V1 == V5, V5 == V8, V2 == V6, V6 == V9, V3 == V7, V7 == V10, V4 == V11; #303 ), references = 1, size of lhs = 7:
% 1.01/1.21 P_d-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_bDa-{F}(V3), difference-{F}(V2,V4,V3), subset-{F}(V0,V5), difference-{F}(V6,V5,V3) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #322: mergings( V1 == V3, V3 == V6, V6 == V9, V2 == V4, V4 == V7, V7 == V10, V5 == V8, V8 == V11; #313 ), references = 1, size of lhs = 4:
% 1.01/1.21 P_d-{F}(V0), subset-{F}(V0,V1), P_a-{F}(V1), P_b-{F}(V2) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #330: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #323 ), references = 1, size of lhs = 3:
% 1.01/1.21 P_d-{F}(V0), subset-{F}(V0,V1), P_a-{F}(V1) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #336: mergings( V1 == V2, V2 == V3, V3 == V4; #332 ), references = 1, size of lhs = 1:
% 1.01/1.21 P_d-{F}(V0) | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 #338: exists( #18, #332 ), references = 1, size of lhs = 0:
% 1.01/1.21 FALSE | FALSE
% 1.01/1.21 (used 0 times, uses = {})
% 1.01/1.21
% 1.01/1.21 number of learnt formulas = 56
% 1.01/1.21
% 1.01/1.21
% 1.01/1.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.21
% 1.01/1.21 randbase = 1
%------------------------------------------------------------------------------