TSTP Solution File: SET002-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:15:30 EDT 2022
% Result : Unsatisfiable 0.39s 0.57s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 03:00:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.57 GeoParameters:
% 0.39/0.57
% 0.39/0.57 tptp_input = 1
% 0.39/0.57 tptp_output = 0
% 0.39/0.57 nonempty = 1
% 0.39/0.57 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.39/0.57
% 0.39/0.57
% 0.39/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.57
% 0.39/0.57 RuleSystem INPUT:
% 0.39/0.57
% 0.39/0.57 Initial Rules:
% 0.39/0.57 #0: input, references = 9, size of lhs = 2:
% 0.39/0.57 subset-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #1: input, references = 9, size of lhs = 1:
% 0.39/0.57 P_member_of_1_not_of_2-{F}(V0,V1,V2) | subset-{T}(V0,V1), member-{T}(V2,V0)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #2: input, references = 13, size of lhs = 2:
% 0.39/0.57 P_member_of_1_not_of_2-{F}(V0,V1,V2), member-{F}(V2,V1) | subset-{T}(V0,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #3: input, references = 3, size of lhs = 1:
% 0.39/0.57 equal_sets-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #4: input, references = 3, size of lhs = 1:
% 0.39/0.57 equal_sets-{F}(V1,V0) | subset-{T}(V0,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #5: input, references = 8, size of lhs = 2:
% 0.39/0.57 subset-{F}(V0,V1), subset-{F}(V1,V0) | equal_sets-{T}(V1,V0)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #6: input, references = 4, size of lhs = 2:
% 0.39/0.57 member-{F}(V0,V1), union-{F}(V3,V2,V1) | member-{T}(V0,V2), member-{T}(V0,V3)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #7: input, references = 4, size of lhs = 2:
% 0.39/0.57 union-{F}(V0,V2,V1), member-{F}(V3,V0) | member-{T}(V3,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #8: input, references = 3, size of lhs = 2:
% 0.39/0.57 union-{F}(V2,V0,V1), member-{F}(V3,V0) | member-{T}(V3,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #9: input, references = 5, size of lhs = 1:
% 0.39/0.57 P_g-{F}(V0,V1,V2,V3) | union-{T}(V0,V1,V2), member-{T}(V3,V0), member-{T}(V3,V1), member-{T}(V3,V2)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #10: input, references = 3, size of lhs = 3:
% 0.39/0.57 P_g-{F}(V0,V1,V2,V3), member-{F}(V3,V0), member-{F}(V3,V2) | union-{T}(V0,V1,V2)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #11: input, references = 3, size of lhs = 3:
% 0.39/0.57 P_g-{F}(V0,V1,V2,V3), member-{F}(V3,V1), member-{F}(V3,V2) | union-{T}(V0,V1,V2)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #12: input, references = 4, size of lhs = 2:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1) | union-{T}(V0,V0,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #13: input, references = 8, size of lhs = 3:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1), equal_sets-{F}(V1,V0) | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #14: input, references = 8, size of lhs = 2:
% 0.39/0.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_member_of_1_not_of_2-{T}(V0,V1,V2)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #15: input, references = 3, size of lhs = 3:
% 0.39/0.57 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_g-{T}(V0,V1,V2,V3)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #16: input, references = 4, size of lhs = 0:
% 0.39/0.57 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #17: input, references = 4, size of lhs = 0:
% 0.39/0.57 FALSE | EXISTS V0: P_aUa-{T}(V0)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 number of initial rules = 18
% 0.39/0.57
% 0.39/0.57 Simplifiers:
% 0.39/0.57 #18: unsound, references = 3, size of lhs = 3:
% 0.39/0.57 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
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #19: unsound, references = 3, size of lhs = 3:
% 0.39/0.57 P_g-{F}(V0,V1,V2,V3), P_g-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #20: unsound, references = 3, size of lhs = 3:
% 0.39/0.57 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #21: unsound, references = 3, size of lhs = 3:
% 0.39/0.57 P_aUa-{F}(V0), P_aUa-{F}(V1), V0 == V1 | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 number of simplifiers = 4
% 0.39/0.57
% 0.39/0.57 Learnt:
% 0.39/0.57 #25: disj( #1, #2+#5+#13 ), references = 1, size of lhs = 4:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V0), P_member_of_1_not_of_2-{F}(V0,V0,V1), P_member_of_1_not_of_2-{F}(V0,V2,V1) | subset-{T}(V0,V2)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #29: exists( #14, #27 ), references = 1, size of lhs = 2:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V0) | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #37: mergings( V0 == V1, V4 == V5; #34 ), references = 1, size of lhs = 5:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), P_member_of_1_not_of_2-{F}(V1,V0,V2), P_g-{F}(V0,V0,V3,V2) | union-{T}(V0,V0,V3), member-{T}(V2,V3)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #43: disj( #1, #0+#0+#2+#5+#13 ), references = 1, size of lhs = 7:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), P_member_of_1_not_of_2-{F}(V1,V0,V2), subset-{F}(V3,V0), subset-{F}(V4,V3), P_member_of_1_not_of_2-{F}(V4,V5,V2) | subset-{T}(V4,V5)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #47: exists( #14, #45 ), references = 3, size of lhs = 5:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), subset-{F}(V1,V2), subset-{F}(V2,V0) | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #50: disj( #1, exists( #14, #45 ) ), references = 1, size of lhs = 5:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1), P_member_of_1_not_of_2-{F}(V0,V1,V2), subset-{F}(V1,V3), subset-{F}(V3,V0) | member-{T}(V2,V0)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #55: exists( #14, #53 ), references = 4, size of lhs = 7:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1), subset-{F}(V1,V2), subset-{F}(V2,V0), union-{F}(V0,V3,V1), subset-{F}(V1,V4), subset-{F}(V4,V0) | FALSE
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #73: mergings( V4 == V8, V8 == V12, V5 == V9, V9 == V13; #61 ), references = 1, size of lhs = 15:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), union-{F}(V0,V4,V1), subset-{F}(V5,V0), P_member_of_1_not_of_2-{F}(V1,V5,V6), subset-{F}(V7,V5), subset-{F}(V8,V0), P_member_of_1_not_of_2-{F}(V1,V8,V6), subset-{F}(V9,V8), P_g-{F}(V7,V9,V10,V6), subset-{F}(V10,V11), subset-{F}(V11,V0), P_member_of_1_not_of_2-{F}(V1,V11,V6) | union-{T}(V7,V9,V10)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #78: mergings( V4 == V8, V8 == V12, V5 == V9, V9 == V13; #62 ), references = 1, size of lhs = 15:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), subset-{F}(V4,V0), P_member_of_1_not_of_2-{F}(V1,V4,V5), subset-{F}(V6,V4), subset-{F}(V7,V0), P_member_of_1_not_of_2-{F}(V1,V7,V5), subset-{F}(V8,V7), P_g-{F}(V6,V8,V9,V5), subset-{F}(V9,V10), subset-{F}(V10,V0), P_member_of_1_not_of_2-{F}(V1,V10,V5) | union-{T}(V6,V8,V9)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #83: mergings( V4 == V8, V8 == V11, V5 == V9, V9 == V12; #63 ), references = 1, size of lhs = 15:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), subset-{F}(V4,V0), P_member_of_1_not_of_2-{F}(V1,V4,V5), subset-{F}(V6,V4), subset-{F}(V7,V0), P_member_of_1_not_of_2-{F}(V1,V7,V5), subset-{F}(V8,V7), P_g-{F}(V6,V8,V9,V5), subset-{F}(V9,V10), subset-{F}(V10,V0), P_member_of_1_not_of_2-{F}(V1,V10,V5) | union-{T}(V6,V8,V9)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #86: disj( #1, exists( #14, #53 ) ), references = 1, size of lhs = 5:
% 0.39/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V2,V1), subset-{F}(V3,V0), P_member_of_1_not_of_2-{F}(V1,V3,V4) | member-{T}(V4,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #87: disj( #1, exists( #14, #45 ) ), references = 1, size of lhs = 5:
% 0.39/0.57 P_a-{F}(V0), subset-{F}(V0,V1), P_aUa-{F}(V1), subset-{F}(V2,V0), P_member_of_1_not_of_2-{F}(V1,V2,V3) | member-{T}(V3,V1)
% 0.39/0.57 (used 0 times, uses = {})
% 0.39/0.57
% 0.39/0.57 #94: disj( #6, #0+#2+#55 ), references = 1, size of lhs = 8:
% 0.40/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V2,V1), subset-{F}(V3,V0), P_member_of_1_not_of_2-{F}(V1,V3,V4), member-{F}(V4,V5), subset-{F}(V6,V3), union-{F}(V7,V6,V5) | member-{T}(V4,V7)
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #102: mergings( V3 == V5, V5 == V7; #99 ), references = 3, size of lhs = 9:
% 0.40/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), union-{F}(V0,V4,V1), subset-{F}(V5,V0), subset-{F}(V6,V5), union-{F}(V7,V6,V1), subset-{F}(V7,V5) | FALSE
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #105: disj( #1, #2+#99 ), references = 1, size of lhs = 10:
% 0.40/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), union-{F}(V0,V4,V1), P_member_of_1_not_of_2-{F}(V0,V5,V6), P_member_of_1_not_of_2-{F}(V7,V0,V6), subset-{F}(V8,V7), union-{F}(V9,V8,V1), subset-{F}(V9,V7) | subset-{T}(V0,V5)
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #110: disj( #1, #2+#102 ), references = 1, size of lhs = 8:
% 0.40/0.57 P_a-{F}(V0), P_member_of_1_not_of_2-{F}(V0,V0,V1), P_member_of_1_not_of_2-{F}(V0,V2,V1), P_aUa-{F}(V3), union-{F}(V0,V0,V3), union-{F}(V0,V4,V3), union-{F}(V0,V5,V3), union-{F}(V0,V6,V3) | subset-{T}(V0,V2)
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #114: mergings( V2 == V6; #112 ), references = 1, size of lhs = 9:
% 0.40/0.57 P_a-{F}(V0), P_aUa-{F}(V1), union-{F}(V0,V0,V1), union-{F}(V0,V2,V1), union-{F}(V0,V3,V1), union-{F}(V0,V4,V1), union-{F}(V0,V5,V1), union-{F}(V0,V6,V1), union-{F}(V0,V7,V1) | FALSE
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #117: exists( #17, #115 ), references = 1, size of lhs = 1:
% 0.40/0.57 P_a-{F}(V0) | FALSE
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 #119: exists( #16, #116 ), references = 1, size of lhs = 0:
% 0.40/0.57 FALSE | FALSE
% 0.40/0.57 (used 0 times, uses = {})
% 0.40/0.57
% 0.40/0.57 number of learnt formulas = 19
% 0.40/0.57
% 0.40/0.57
% 0.40/0.57 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.57
% 0.40/0.57 randbase = 1
%------------------------------------------------------------------------------