TSTP Solution File: SET008-1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:15:31 EDT 2022
% Result : Unsatisfiable 6.03s 6.21s
% Output : Refutation 6.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 02:10:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.03/6.21 GeoParameters:
% 6.03/6.21
% 6.03/6.21 tptp_input = 1
% 6.03/6.21 tptp_output = 0
% 6.03/6.21 nonempty = 1
% 6.03/6.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/6.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.03/6.21
% 6.03/6.21
% 6.03/6.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/6.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/6.21
% 6.03/6.21 RuleSystem INPUT:
% 6.03/6.21
% 6.03/6.21 Initial Rules:
% 6.03/6.21 #0: input, references = 7, size of lhs = 2:
% 6.03/6.21 subset-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #1: input, references = 9, size of lhs = 1:
% 6.03/6.21 P_member_of_1_not_of_2-{F}(V0,V1,V2) | subset-{T}(V0,V1), member-{T}(V2,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #2: input, references = 3, size of lhs = 2:
% 6.03/6.21 P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V1) | subset-{T}(V0,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #3: input, references = 3, size of lhs = 1:
% 6.03/6.21 equal_sets-{F}(V0,V1) | subset-{T}(V0,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #4: input, references = 3, size of lhs = 1:
% 6.03/6.21 equal_sets-{F}(V1,V0) | subset-{T}(V0,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #5: input, references = 3, size of lhs = 2:
% 6.03/6.21 subset-{F}(V0,V1), subset-{F}(V1,V0) | equal_sets-{T}(V1,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #6: input, references = 7, size of lhs = 2:
% 6.03/6.21 intersection-{F}(V0,V2,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #7: input, references = 6, size of lhs = 2:
% 6.03/6.21 intersection-{F}(V2,V0,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #8: input, references = 6, size of lhs = 3:
% 6.03/6.21 member-{F}(V0,V2), intersection-{F}(V3,V2,V1), member-{F}(V0,V3) | member-{T}(V0,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #9: input, references = 13, size of lhs = 1:
% 6.03/6.21 P_h-{F}(V0,V1,V2,V3) | member-{T}(V3,V2), intersection-{T}(V0,V1,V2), member-{T}(V3,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #10: input, references = 10, size of lhs = 1:
% 6.03/6.21 P_h-{F}(V0,V1,V2,V3) | member-{T}(V3,V2), intersection-{T}(V0,V1,V2), member-{T}(V3,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #11: input, references = 3, size of lhs = 4:
% 6.03/6.21 P_h-{F}(V0,V1,V2,V3), member-{F}(V3,V2), member-{F}(V3,V1), member-{F}(V3,V0) | intersection-{T}(V0,V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #12: input, references = 11, size of lhs = 2:
% 6.03/6.21 difference-{F}(V0,V2,V1), member-{F}(V3,V1) | member-{T}(V3,V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #13: input, references = 17, size of lhs = 3:
% 6.03/6.21 difference-{F}(V2,V0,V1), member-{F}(V3,V0), member-{F}(V3,V1) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #14: input, references = 3, size of lhs = 2:
% 6.03/6.21 member-{F}(V0,V3), difference-{F}(V3,V2,V1) | member-{T}(V0,V1), member-{T}(V0,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #15: input, references = 13, size of lhs = 1:
% 6.03/6.21 P_k-{F}(V0,V1,V2,V3) | difference-{T}(V0,V1,V2), member-{T}(V3,V0), member-{T}(V3,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #16: input, references = 4, size of lhs = 2:
% 6.03/6.21 P_k-{F}(V0,V1,V2,V3), member-{F}(V3,V1) | member-{T}(V3,V2), difference-{T}(V0,V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #17: input, references = 4, size of lhs = 3:
% 6.03/6.21 P_k-{F}(V0,V1,V2,V3), member-{F}(V3,V2), member-{F}(V3,V0) | member-{T}(V3,V1), difference-{T}(V0,V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #18: input, references = 5, size of lhs = 3:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2) | difference-{T}(V0,V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #19: input, references = 9, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V1,V2,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #20: input, references = 15, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #21: input, references = 3, size of lhs = 2:
% 6.03/6.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_member_of_1_not_of_2-{T}(V0,V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #22: input, references = 9, size of lhs = 3:
% 6.03/6.21 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_h-{T}(V0,V1,V2,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #23: input, references = 9, size of lhs = 3:
% 6.03/6.21 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_k-{T}(V0,V1,V2,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #24: input, references = 4, size of lhs = 0:
% 6.03/6.21 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #25: input, references = 4, size of lhs = 0:
% 6.03/6.21 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #26: input, references = 5, size of lhs = 0:
% 6.03/6.21 FALSE | EXISTS V0: P_bDa-{T}(V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #27: input, references = 5, size of lhs = 0:
% 6.03/6.21 FALSE | EXISTS V0: P_aI_bDa-{T}(V0)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 number of initial rules = 28
% 6.03/6.21
% 6.03/6.21 Simplifiers:
% 6.03/6.21 #28: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 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
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #29: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_h-{F}(V0,V1,V2,V3), P_h-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #30: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_k-{F}(V0,V1,V2,V3), P_k-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #31: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #32: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #33: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_bDa-{F}(V0), P_bDa-{F}(V1), V0 == V1 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #34: unsound, references = 3, size of lhs = 3:
% 6.03/6.21 P_aI_bDa-{F}(V0), P_aI_bDa-{F}(V1), V0 == V1 | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 number of simplifiers = 7
% 6.03/6.21
% 6.03/6.21 Learnt:
% 6.03/6.21 #39: disj( #10, input, input ), references = 2, size of lhs = 3:
% 6.03/6.21 difference-{F}(V0,V1,V1), difference-{F}(V2,V3,V3), P_h-{F}(V4,V3,V1,V5) | intersection-{T}(V4,V3,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #40: disj( #10, input, input ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V5,V5), P_h-{F}(V6,V3,V5,V7) | intersection-{T}(V6,V3,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #41: disj( #10, input, input ), references = 2, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V5,V5), P_h-{F}(V6,V5,V3,V7) | intersection-{T}(V6,V5,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #44: disj( #1, input ), references = 1, size of lhs = 2:
% 6.03/6.21 difference-{F}(V0,V1,V1), P_member_of_1_not_of_2-{F}(V1,V2,V3) | subset-{T}(V1,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #45: disj( #1, input ), references = 1, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_member_of_1_not_of_2-{F}(V3,V4,V5) | subset-{T}(V3,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #48: exists( #22, #46 ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V2,V2), P_aI_bDa-{F}(V4), difference-{F}(V5,V4,V4) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #50: disj( #9, input, input ), references = 1, size of lhs = 3:
% 6.03/6.21 difference-{F}(V0,V1,V1), difference-{F}(V2,V3,V3), P_h-{F}(V3,V4,V1,V5) | intersection-{T}(V3,V4,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #52: disj( #15, input, input ), references = 1, size of lhs = 3:
% 6.03/6.21 difference-{F}(V0,V1,V1), difference-{F}(V2,V3,V3), P_k-{F}(V1,V4,V3,V5) | difference-{T}(V1,V4,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #55: disj( #1, #0+#13 ), references = 2, size of lhs = 3:
% 6.03/6.21 member-{F}(V0,V1), difference-{F}(V2,V3,V3), P_member_of_1_not_of_2-{F}(V1,V3,V4) | member-{T}(V4,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #61: mergings( V4 == V7, V5 == V8, V6 == V9, V2 == V1; #56 ), references = 2, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_h-{F}(V4,V3,V3,V5) | intersection-{T}(V4,V3,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #67: mergings( V4 == V7, V5 == V8, V6 == V9, V2 == V0; #62 ), references = 2, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_h-{F}(V3,V4,V3,V5) | intersection-{T}(V3,V4,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #73: mergings( V4 == V7, V5 == V0, V6 == V1; #69 ), references = 2, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V2,V2), P_aI_bDa-{F}(V4) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #78: mergings( V1 == V4, V2 == V5, V3 == V6; #74 ), references = 3, size of lhs = 4:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V2,V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #85: mergings( V3 == V6, V4 == V0, V5 == V1; #81 ), references = 1, size of lhs = 4:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #88: disj( #1, #0+#20 ), references = 4, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V5), P_member_of_1_not_of_2-{F}(V5,V3,V6) | member-{T}(V6,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #93: disj( #1, #12+#13 ), references = 1, size of lhs = 3:
% 6.03/6.21 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)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #94: disj( #1, #12+#20 ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V3,V4,V5), P_member_of_1_not_of_2-{F}(V5,V6,V7) | subset-{T}(V5,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #100: mergings( V4 == V7, V5 == V8, V6 == V9, V0 == V2; #95 ), references = 2, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_k-{F}(V3,V4,V3,V5) | difference-{T}(V3,V4,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #107: disj( #10, #12+#13, #12+#13 ), references = 1, size of lhs = 5:
% 6.03/6.21 difference-{F}(V0,V1,V2), difference-{F}(V3,V0,V2), difference-{F}(V4,V5,V6), difference-{F}(V7,V4,V6), P_h-{F}(V8,V6,V2,V9) | intersection-{T}(V8,V6,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #108: disj( #10, #12+#13, #12+#20 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V3,V4,V5), difference-{F}(V6,V7,V8), difference-{F}(V9,V6,V8), P_h-{F}(V10,V5,V8,V11) | intersection-{T}(V10,V5,V8)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #109: disj( #10, #12+#20, #12+#13 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V3,V4,V5), difference-{F}(V6,V7,V8), difference-{F}(V9,V6,V8), P_h-{F}(V10,V8,V5,V11) | intersection-{T}(V10,V8,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #112: disj( #16, input ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V5), P_k-{F}(V6,V5,V3,V4) | difference-{T}(V6,V5,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #113: disj( #16, input ), references = 1, size of lhs = 4:
% 6.03/6.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V2,V4), P_k-{F}(V5,V1,V4,V0) | difference-{T}(V5,V1,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #124: mergings( V4 == V8, V5 == V9, V6 == V10, V7 == V2; #116 ), references = 2, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V3,V3,V3), member-{F}(V4,V5), member-{F}(V4,V6), P_h-{F}(V6,V5,V3,V7) | member-{T}(V7,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #125: disj( #9, #8+#20, #8+#13 ), references = 1, size of lhs = 10:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V4,V4,V3), member-{F}(V5,V6), member-{F}(V5,V7), P_h-{F}(V7,V6,V4,V8), member-{F}(V5,V9), difference-{F}(V10,V9,V4) | member-{T}(V8,V7)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #126: disj( #9, #8+#13, #8+#20 ), references = 1, size of lhs = 9:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V3,V3,V4), difference-{F}(V5,V3,V4), member-{F}(V6,V7), member-{F}(V6,V8), P_h-{F}(V8,V7,V3,V9) | member-{T}(V9,V8)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #133: disj( #9, #12+#13, #12+#13 ), references = 2, size of lhs = 5:
% 6.03/6.21 difference-{F}(V0,V1,V2), difference-{F}(V3,V0,V2), difference-{F}(V4,V5,V6), difference-{F}(V7,V4,V6), P_h-{F}(V6,V8,V2,V9) | intersection-{T}(V6,V8,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #134: disj( #9, #12+#13, #12+#20 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V3,V4,V5), difference-{F}(V6,V7,V8), difference-{F}(V9,V6,V8), P_h-{F}(V5,V10,V8,V11) | intersection-{T}(V5,V10,V8)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #135: disj( #9, #12+#20, #12+#13 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V3,V4,V5), difference-{F}(V6,V7,V8), difference-{F}(V9,V6,V8), P_h-{F}(V8,V10,V5,V11) | intersection-{T}(V8,V10,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #141: mergings( V3 == V6, V4 == V0, V5 == V1; #137 ), references = 1, size of lhs = 4:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_aI_bDa-{F}(V1), P_bDa-{F}(V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #143: disj( #15, input, input ), references = 3, size of lhs = 5:
% 6.03/6.21 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)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #166: mergings( V4 == V8, V8 == V15, V15 == V19, V5 == V9, V9 == V16, V16 == V20, V6 == V10, V10 == V17, V17 == V21, V7 == V18; #152 ), references = 1, size of lhs = 13:
% 6.03/6.21 P_aI_bDa-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_bDa-{F}(V3), P_member_of_1_not_of_2-{F}(V4,V0,V5), difference-{F}(V6,V4,V3), P_k-{F}(V7,V3,V3,V5), difference-{F}(V8,V4,V7), P_member_of_1_not_of_2-{F}(V9,V0,V10), difference-{F}(V11,V9,V3), P_k-{F}(V12,V3,V3,V10), difference-{F}(V13,V9,V12), P_h-{F}(V9,V14,V4,V15) | intersection-{T}(V9,V14,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #178: mergings( V4 == V8, V8 == V15, V15 == V19, V5 == V9, V9 == V16, V16 == V20, V6 == V10, V10 == V17, V17 == V21, V7 == V18, V18 == V22; #153 ), references = 1, size of lhs = 13:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_member_of_1_not_of_2-{F}(V4,V3,V5), difference-{F}(V6,V4,V2), P_k-{F}(V7,V2,V2,V5), difference-{F}(V8,V4,V7), P_member_of_1_not_of_2-{F}(V9,V3,V10), difference-{F}(V11,V9,V2), P_k-{F}(V12,V2,V2,V10), difference-{F}(V13,V9,V12), P_h-{F}(V9,V14,V4,V15) | intersection-{T}(V9,V14,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #190: mergings( V4 == V8, V8 == V16, V16 == V20, V5 == V9, V9 == V17, V17 == V21, V6 == V10, V10 == V18, V18 == V22, V7 == V11, V11 == V19; #154 ), references = 1, size of lhs = 13:
% 6.03/6.21 P_aI_bDa-{F}(V0), P_b-{F}(V1), P_a-{F}(V2), P_bDa-{F}(V3), P_member_of_1_not_of_2-{F}(V4,V0,V5), difference-{F}(V6,V4,V3), P_k-{F}(V7,V3,V3,V5), difference-{F}(V8,V4,V7), P_member_of_1_not_of_2-{F}(V9,V0,V10), difference-{F}(V11,V9,V3), P_k-{F}(V12,V3,V3,V10), difference-{F}(V13,V9,V12), P_h-{F}(V9,V14,V4,V15) | intersection-{T}(V9,V14,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #198: disj( #15, #12+#13, #12+#13 ), references = 1, size of lhs = 4:
% 6.03/6.21 member-{F}(V0,V1), P_k-{F}(V2,V2,V1,V3), difference-{F}(V4,V5,V2), difference-{F}(V6,V4,V2) | member-{T}(V3,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #199: disj( #15, #12+#13, input ), references = 2, size of lhs = 3:
% 6.03/6.21 member-{F}(V0,V1), difference-{F}(V2,V3,V3), P_k-{F}(V3,V3,V1,V4) | member-{T}(V4,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #202: disj( #15, #12+#13, #12+#13 ), references = 2, size of lhs = 5:
% 6.03/6.21 difference-{F}(V0,V1,V2), difference-{F}(V3,V0,V2), difference-{F}(V4,V5,V6), difference-{F}(V7,V4,V6), P_k-{F}(V2,V8,V6,V9) | difference-{T}(V2,V8,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #207: exists( #23, #203 ), references = 1, size of lhs = 7:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V4,V2), difference-{F}(V5,V3,V2), difference-{F}(V6,V7,V8), difference-{F}(V9,V6,V8) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #212: mergings( V1 == V2, V2 == V3; #209 ), references = 1, size of lhs = 2:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V0) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #224: mergings( V4 == V8, V5 == V9, V6 == V10; #215 ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V5), P_h-{F}(V3,V6,V5,V7) | member-{T}(V7,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #225: disj( #9, #6+#13, input ), references = 2, size of lhs = 4:
% 6.03/6.21 member-{F}(V0,V1), difference-{F}(V2,V3,V3), difference-{F}(V4,V3,V3), P_h-{F}(V3,V5,V1,V6) | member-{T}(V6,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #227: disj( #1, input ), references = 1, size of lhs = 3:
% 6.03/6.21 member-{F}(V0,V1), P_member_of_1_not_of_2-{F}(V2,V3,V0), difference-{F}(V4,V2,V1) | subset-{T}(V2,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #229: disj( #9, input, input ), references = 1, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), P_h-{F}(V1,V4,V5,V2), difference-{F}(V6,V5,V3) | intersection-{T}(V1,V4,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #232: disj( #17, input ), references = 1, size of lhs = 7:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V5), member-{F}(V4,V6), P_k-{F}(V6,V3,V5,V4) | difference-{T}(V6,V3,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #233: disj( #17, input ), references = 1, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), member-{F}(V2,V4), P_k-{F}(V4,V1,V3,V2) | difference-{T}(V4,V1,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #235: disj( #15, input, input ), references = 1, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), P_k-{F}(V1,V4,V5,V2), difference-{F}(V6,V5,V3) | difference-{T}(V1,V4,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #238: exists( #22, #236 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V5,V3), difference-{F}(V6,V4,V3), difference-{F}(V7,V8,V1), difference-{F}(V9,V7,V1) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #242: disj( #1, #199+#234+#237 ), references = 1, size of lhs = 12:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V1,V5), P_member_of_1_not_of_2-{F}(V5,V6,V7), difference-{F}(V8,V9,V9), P_k-{F}(V9,V9,V5,V10), P_k-{F}(V11,V11,V1,V10), difference-{F}(V12,V11,V11), difference-{F}(V13,V14,V3), difference-{F}(V15,V13,V3) | subset-{T}(V5,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #248: mergings( V3 == V5, V4 == V6, V1 == V7; #243 ), references = 1, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_k-{F}(V3,V3,V2,V4) | member-{T}(V4,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #249: disj( #15, exists( #23, #203 ), input ), references = 1, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V4,V4), P_k-{F}(V4,V4,V2,V5) | member-{T}(V5,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #252: disj( #9, input, input ), references = 1, size of lhs = 5:
% 6.03/6.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V4,V1), P_h-{F}(V5,V6,V4,V0), difference-{F}(V7,V5,V2) | intersection-{T}(V5,V6,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #264: mergings( V3 == V9, V1 == V10, V4 == V11, V5 == V12; #258 ), references = 7, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), P_k-{F}(V4,V4,V1,V5), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3) | member-{T}(V5,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #269: mergings( V3 == V9, V1 == V10, V4 == V11, V5 == V12; #259 ), references = 1, size of lhs = 10:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_k-{F}(V4,V4,V1,V5), P_member_of_1_not_of_2-{F}(V4,V3,V6), member-{F}(V6,V7), difference-{F}(V8,V4,V7), difference-{F}(V9,V10,V3), difference-{F}(V11,V9,V3) | member-{T}(V5,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #280: mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #274 ), references = 1, size of lhs = 11:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3), difference-{F}(V8,V9,V9), P_member_of_1_not_of_2-{F}(V1,V9,V10), member-{F}(V10,V11), difference-{F}(V12,V1,V11) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #289: mergings( V3 == V6, V6 == V10, V1 == V7, V7 == V11, V4 == V8, V8 == V12, V5 == V9, V9 == V13; #275 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V1,V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #299: exists( #23, #295 ), references = 1, size of lhs = 12:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3), difference-{F}(V8,V1,V9), member-{F}(V10,V9), difference-{F}(V11,V12,V12), difference-{F}(V13,V12,V12), P_h-{F}(V12,V14,V1,V10) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #304: mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #298 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), intersection-{F}(V3,V5,V1), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #314: exists( #23, #310 ), references = 1, size of lhs = 9:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3), difference-{F}(V8,V9,V9), intersection-{F}(V10,V9,V1) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #319: mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #313 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), intersection-{F}(V5,V3,V1), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #334: mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #328 ), references = 1, size of lhs = 11:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V3,V3,V3), subset-{F}(V4,V3), P_h-{F}(V1,V1,V3,V5), member-{F}(V5,V6), difference-{F}(V7,V1,V6), difference-{F}(V8,V9,V3), difference-{F}(V10,V8,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #339: mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #329 ), references = 1, size of lhs = 8:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), intersection-{F}(V1,V1,V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V3), difference-{F}(V7,V5,V3) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #352: disj( #15, input, input ), references = 1, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), P_k-{F}(V4,V5,V1,V2), difference-{F}(V6,V4,V3) | difference-{T}(V4,V5,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #376: disj( #15, input, input ), references = 1, size of lhs = 5:
% 6.03/6.21 member-{F}(V0,V1), member-{F}(V0,V2), P_k-{F}(V3,V1,V2,V4), member-{F}(V4,V5), difference-{F}(V6,V3,V5) | member-{T}(V4,V2)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #411: disj( #10, input, input ), references = 1, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), P_h-{F}(V4,V1,V5,V2), difference-{F}(V6,V5,V3) | intersection-{T}(V4,V1,V5)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #438: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18; #425 ), references = 1, size of lhs = 17:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), subset-{F}(V5,V3), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3), difference-{F}(V9,V10,V10), P_member_of_1_not_of_2-{F}(V1,V10,V11), P_member_of_1_not_of_2-{F}(V1,V12,V11), difference-{F}(V13,V12,V12), difference-{F}(V14,V1,V15), difference-{F}(V16,V17,V3), difference-{F}(V18,V16,V3), difference-{F}(V19,V1,V20), P_h-{F}(V20,V21,V15,V11) | intersection-{T}(V20,V21,V15)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #443: mergings( V4 == V17, V5 == V18, V6 == V19, V7 == V20; #429 ), references = 1, size of lhs = 19:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), subset-{F}(V5,V3), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3), difference-{F}(V9,V1,V10), difference-{F}(V11,V12,V3), difference-{F}(V13,V11,V3), difference-{F}(V14,V1,V15), P_h-{F}(V15,V16,V10,V17), difference-{F}(V18,V19,V19), difference-{F}(V20,V19,V19), P_h-{F}(V19,V21,V1,V17), difference-{F}(V22,V23,V23), difference-{F}(V24,V23,V23), P_h-{F}(V23,V25,V1,V17) | intersection-{T}(V15,V16,V10)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #448: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18; #426 ), references = 1, size of lhs = 18:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), subset-{F}(V5,V3), difference-{F}(V6,V7,V3), difference-{F}(V8,V6,V3), difference-{F}(V9,V10,V10), P_member_of_1_not_of_2-{F}(V1,V10,V11), difference-{F}(V12,V1,V13), difference-{F}(V14,V15,V3), difference-{F}(V16,V14,V3), difference-{F}(V17,V1,V18), P_h-{F}(V18,V19,V13,V11), difference-{F}(V20,V21,V21), difference-{F}(V22,V21,V21), P_h-{F}(V21,V23,V1,V11) | intersection-{T}(V18,V19,V13)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #474: disj( #10, input, input ), references = 1, size of lhs = 5:
% 6.03/6.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V4,V1), P_h-{F}(V5,V6,V4,V0), difference-{F}(V7,V6,V2) | intersection-{T}(V5,V6,V4)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #510: disj( #10, #6+#13, #6+#13 ), references = 1, size of lhs = 7:
% 6.03/6.21 member-{F}(V0,V1), member-{F}(V0,V2), difference-{F}(V3,V4,V1), intersection-{F}(V4,V5,V6), member-{F}(V7,V6), P_h-{F}(V8,V9,V1,V7), difference-{F}(V10,V8,V2) | member-{T}(V7,V9)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #511: disj( #10, #6+#13, #7+#20 ), references = 1, size of lhs = 9:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), member-{F}(V4,V5), P_h-{F}(V6,V3,V5,V7), member-{F}(V7,V8), intersection-{F}(V9,V10,V8), difference-{F}(V11,V9,V5) | member-{T}(V7,V3)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #564: disj( #10, input, mergings( V3 == V6, V1 == V7, V4 == V8, V5 == V9; #274 ) ), references = 1, size of lhs = 12:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V6), difference-{F}(V7,V8,V3), difference-{F}(V9,V7,V3), difference-{F}(V10,V11,V11), P_member_of_1_not_of_2-{F}(V1,V11,V12), difference-{F}(V13,V1,V14), P_h-{F}(V15,V14,V6,V12) | intersection-{T}(V15,V14,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #565: disj( #10, input, exists( #23, #295 ) ), references = 1, size of lhs = 13:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), subset-{F}(V4,V3), difference-{F}(V5,V6,V6), difference-{F}(V7,V8,V3), difference-{F}(V9,V7,V3), difference-{F}(V10,V1,V11), P_h-{F}(V12,V11,V6,V13), difference-{F}(V14,V15,V15), difference-{F}(V16,V15,V15), P_h-{F}(V15,V17,V1,V13) | intersection-{T}(V12,V11,V6)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #566: disj( #10, input, input ), references = 2, size of lhs = 4:
% 6.03/6.21 difference-{F}(V0,V1,V1), member-{F}(V2,V3), difference-{F}(V4,V3,V5), P_h-{F}(V6,V5,V1,V2) | intersection-{T}(V6,V5,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #642: mergings( V4 == V7, V5 == V0, V6 == V1; #637 ), references = 1, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), P_h-{F}(V1,V2,V3,V4) | member-{T}(V4,V1)
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #650: mergings( V4 == V7, V7 == V8, V5 == V0, V6 == V1; #645 ), references = 1, size of lhs = 6:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V3,V3), difference-{F}(V5,V1,V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #660: mergings( V2 == V5, V5 == V8, V8 == V9, V3 == V6, V6 == V10, V4 == V7, V7 == V11; #652 ), references = 1, size of lhs = 5:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), P_aI_bDa-{F}(V3), difference-{F}(V4,V1,V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #669: mergings( V1 == V4, V4 == V7, V7 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V10; #661 ), references = 1, size of lhs = 4:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1), P_bDa-{F}(V2), difference-{F}(V3,V1,V2) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #678: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V7, V3 == V5, V5 == V8; #671 ), references = 1, size of lhs = 2:
% 6.03/6.21 P_b-{F}(V0), P_a-{F}(V1) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #684: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #679 ), references = 1, size of lhs = 1:
% 6.03/6.21 P_b-{F}(V0) | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 #686: exists( #24, #679 ), references = 1, size of lhs = 0:
% 6.03/6.21 FALSE | FALSE
% 6.03/6.21 (used 0 times, uses = {})
% 6.03/6.21
% 6.03/6.21 number of learnt formulas = 80
% 6.03/6.21
% 6.03/6.21
% 6.03/6.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.03/6.21
% 6.03/6.21 randbase = 1
%------------------------------------------------------------------------------