TSTP Solution File: SEU129+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:16 EDT 2022
% Result : Theorem 177.18s 177.35s
% Output : Refutation 177.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU129+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 : Fri Jul 22 18:57:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 177.18/177.35 GeoParameters:
% 177.18/177.35
% 177.18/177.35 tptp_input = 1
% 177.18/177.35 tptp_output = 0
% 177.18/177.35 nonempty = 1
% 177.18/177.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.18/177.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 177.18/177.35
% 177.18/177.35
% 177.18/177.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.18/177.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.18/177.35
% 177.18/177.35 RuleSystem INPUT:
% 177.18/177.35
% 177.18/177.35 Initial Rules:
% 177.18/177.35 #0: input, references = 9, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1: input, references = 4, size of lhs = 3:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2: input, references = 6, size of lhs = 1:
% 177.18/177.35 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3: input, references = 5, size of lhs = 1:
% 177.18/177.35 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #4: input, references = 25, size of lhs = 2:
% 177.18/177.35 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #5: input, references = 16, size of lhs = 2:
% 177.18/177.35 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp10-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #6: input, references = 7, size of lhs = 1:
% 177.18/177.35 pppp10-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #7: input, references = 7, size of lhs = 2:
% 177.18/177.35 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #8: input, references = 8, size of lhs = 1:
% 177.18/177.35 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #9: input, references = 11, size of lhs = 1:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #10: input, references = 3, size of lhs = 3:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #11: input, references = 6, size of lhs = 2:
% 177.18/177.35 pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #12: input, references = 6, size of lhs = 2:
% 177.18/177.35 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #13: input, references = 6, size of lhs = 3:
% 177.18/177.35 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp11-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #14: input, references = 4, size of lhs = 1:
% 177.18/177.35 pppp11-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #15: input, references = 11, size of lhs = 3:
% 177.18/177.35 pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #16: input, references = 15, size of lhs = 1:
% 177.18/177.35 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #17: input, references = 7, size of lhs = 1:
% 177.18/177.35 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #18: input, references = 8, size of lhs = 1:
% 177.18/177.35 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #19: input, references = 7, size of lhs = 2:
% 177.18/177.35 in-{F}(V2,V0), in-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #20: input, references = 3, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #21: input, references = 4, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #22: input, references = 4, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #23: input, references = 5, size of lhs = 1:
% 177.18/177.35 pppp5-{F}(V0) | empty-{T}(V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #24: input, references = 3, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #25: input, references = 3, size of lhs = 2:
% 177.18/177.35 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #26: input, references = 5, size of lhs = 2:
% 177.18/177.35 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #27: input, references = 4, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #28: input, references = 4, size of lhs = 1:
% 177.18/177.35 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #29: input, references = 5, size of lhs = 1:
% 177.18/177.35 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #30: input, references = 5, size of lhs = 1:
% 177.18/177.35 pppp8-{F}(V0,V1) | subset-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #31: input, references = 6, size of lhs = 4:
% 177.18/177.35 pppp7-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V2,V3), P_set_intersection2-{F}(V1,V2,V4), subset-{F}(V3,V4) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #32: input, references = 4, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #33: input, references = 4, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #34: input, references = 8, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #35: input, references = 4, size of lhs = 4:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #36: input, references = 11, size of lhs = 2:
% 177.18/177.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #37: input, references = 4, size of lhs = 0:
% 177.18/177.35 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 number of initial rules = 38
% 177.18/177.35
% 177.18/177.35 Simplifiers:
% 177.18/177.35 #38: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #39: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #40: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #41: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #42: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #43: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #44: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #45: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #46: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #47: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #48: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #49: unsound, references = 3, size of lhs = 3:
% 177.18/177.35 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 number of simplifiers = 12
% 177.18/177.35
% 177.18/177.35 Learnt:
% 177.18/177.35 #51: exists( #36, #21 ), references = 1, size of lhs = 2:
% 177.18/177.35 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #53: exists( #36, #32 ), references = 1, size of lhs = 2:
% 177.18/177.35 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #55: exists( #36, #1 ), references = 7, size of lhs = 1:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #57: disj( #13, input ), references = 2, size of lhs = 3:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp11-{T}(V0,V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #60: disj( #16, input ), references = 1, size of lhs = 1:
% 177.18/177.35 pppp4-{F}(V0,V1,V2,V2) | pppp1-{T}(V0,V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #61: disj( #16, input ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #78: disj( #16, #17+#15 ), references = 2, size of lhs = 2:
% 177.18/177.35 pppp4-{F}(V0,V1,V0,V2), pppp4-{F}(V0,V1,V3,V2) | in-{T}(V2,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #79: disj( #16, #18+#34 ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #86: disj( #5, #4+#0 ), references = 2, size of lhs = 1:
% 177.18/177.35 in-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #87: disj( #5, #4+#15 ), references = 1, size of lhs = 3:
% 177.18/177.35 in-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp4-{F}(V2,V3,V4,V0) | pppp10-{T}(V1,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #88: disj( #5, #4+#34 ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp10-{T}(V3,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #92: exists( #6, #89 ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), pppp10-{F}(V1,V2) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #94: disj( #5, exists( #6, #89 ) ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #142: disj( #5, #4+#0 ), references = 1, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #172: disj( #16, input ), references = 1, size of lhs = 3:
% 177.18/177.35 pppp1-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V2), pppp4-{F}(V4,V5,V3,V2) | pppp1-{T}(V4,V5,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #173: disj( #16, input ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp3-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V1,V2) | pppp1-{T}(V3,V4,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #237: exists( #6, #235 ), references = 5, size of lhs = 2:
% 177.18/177.35 pppp10-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #239: disj( #5, exists( #6, #235 ) ), references = 4, size of lhs = 1:
% 177.18/177.35 pppp2-{F}(V0,V1,V2) | pppp0-{T}(V2,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #353: disj( #13, exists( #6, #235 ) ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp10-{F}(V0,V1), #-{F} V2 | pppp11-{T}(V2,V1,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #411: disj( #16, #18+#0 ), references = 1, size of lhs = 1:
% 177.18/177.35 pppp4-{F}(V0,V1,V2,V1) | in-{T}(V1,V2)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #412: disj( #16, #17+#34 ), references = 1, size of lhs = 3:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #568: exists( #36, #566 ), references = 1, size of lhs = 2:
% 177.18/177.35 P_empty_set-{F}(V0), pppp7-{F}(V1,V1,V2) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #570: exists( #29, #567 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp8-{F}(V0,V0), P_empty_set-{F}(V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #697: disj( #5, #4+#4+#0 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp0-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #698: disj( #5, #4+#86+#237 ), references = 1, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), pppp2-{F}(V2,V0,V3) | pppp10-{T}(V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #699: disj( #5, #4+#4+#7 ), references = 2, size of lhs = 3:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp3-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp10-{T}(V4,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #748: exists( #36, #746 ), references = 2, size of lhs = 2:
% 177.18/177.35 P_set_intersection2-{F}(V0,V1,V1), pppp7-{F}(V2,V0,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #886: disj( #16, #18+#0 ), references = 1, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), pppp4-{F}(V2,V0,V3,V1) | in-{T}(V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1139: disj( #16, #17+#7 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp3-{F}(V0,V1,V2), pppp4-{F}(V1,V3,V4,V2) | in-{T}(V2,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1258: disj( #16, #11+#4+#15 ), references = 1, size of lhs = 4:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp2-{F}(V2,V3,V0), pppp4-{F}(V2,V3,V1,V4), pppp4-{F}(V5,V6,V0,V4) | pppp1-{T}(V5,V6,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1563: disj( #16, #4+#15 ), references = 1, size of lhs = 4:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V4), pppp4-{F}(V5,V6,V1,V4), pppp1-{F}(V5,V6,V4) | pppp1-{T}(V2,V3,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1819: exists( #14, #1817 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp11-{F}(V0,V1,V0), pppp0-{F}(V0,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1823: exists( #36, #1821 ), references = 3, size of lhs = 1:
% 177.18/177.35 pppp0-{F}(V0,V1) | P_set_intersection2-{T}(V1,V0,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #1841: disj( #5, exists( #14, #1817 ) ), references = 1, size of lhs = 1:
% 177.18/177.35 pppp11-{F}(V0,V1,V0) | pppp10-{T}(V0,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2099: disj( #16, input ), references = 1, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp1-{T}(V2,V3,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2258: disj( #5, #4+#4+#4+#19+#12+#7 ), references = 3, size of lhs = 6:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), in-{F}(V3,V4), in-{F}(V3,V5), pppp2-{F}(V5,V2,V6), pppp3-{F}(V7,V6,V3) | pppp10-{T}(V4,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2259: disj( #5, #4+#4+#4+#19+#12+#34 ), references = 1, size of lhs = 7:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3), in-{F}(V2,V4), pppp2-{F}(V4,V5,V1), pppp0-{F}(V6,V5), pppp0-{F}(V7,V6) | pppp10-{T}(V3,V7)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2292: disj( #16, #17+#0 ), references = 1, size of lhs = 2:
% 177.18/177.35 in-{F}(V0,V1), pppp4-{F}(V0,V2,V3,V1) | in-{T}(V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2358: disj( #5, #1823+#748 ), references = 1, size of lhs = 1:
% 177.18/177.35 pppp7-{F}(V0,V1,V2) | pppp10-{T}(V2,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2528: exists( #6, #2526 ), references = 4, size of lhs = 3:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp10-{F}(V2,V1), pppp2-{F}(V3,V0,V2) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2539: disj( #5, exists( #6, #2526 ) ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp2-{F}(V2,V0,V3) | pppp0-{T}(V3,V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2757: disj( #16, #18+#15 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp4-{F}(V0,V1,V1,V2), pppp4-{F}(V0,V1,V3,V2) | in-{T}(V2,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2932: disj( #5, #4+#19+#12+#15 ), references = 3, size of lhs = 5:
% 177.18/177.35 in-{F}(V0,V1), in-{F}(V0,V2), pppp2-{F}(V2,V3,V4), pppp4-{F}(V5,V6,V4,V0), pppp1-{F}(V5,V6,V0) | pppp10-{T}(V1,V3)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #2988: disj( #5, #4+#11+#15 ), references = 1, size of lhs = 4:
% 177.18/177.35 in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V3,V4,V2,V0), pppp2-{F}(V3,V4,V5) | pppp10-{T}(V1,V5)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3004: disj( #16, #2932+#237 ), references = 1, size of lhs = 6:
% 177.18/177.35 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1), pppp2-{F}(V4,V3,V5), pppp4-{F}(V6,V7,V4,V0), pppp4-{F}(V8,V9,V5,V0), pppp1-{F}(V8,V9,V0) | pppp1-{T}(V6,V7,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3005: disj( #16, #2932+#2528 ), references = 1, size of lhs = 7:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp2-{F}(V4,V1,V5), in-{F}(V6,V4), pppp4-{F}(V7,V8,V3,V6), pppp4-{F}(V9,V10,V5,V6), pppp1-{F}(V9,V10,V6) | pppp1-{T}(V7,V8,V6)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3097: disj( #5, #3+#31 ), references = 1, size of lhs = 3:
% 177.18/177.35 pppp7-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V2,V3), P_set_intersection2-{F}(V1,V2,V4) | pppp10-{T}(V3,V4)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3129: disj( #5, #1823+#55+#9+#2528 ), references = 1, size of lhs = 2:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp10-{F}(V2,V1) | pppp10-{T}(V2,V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3256: exists( #6, #3252 ), references = 1, size of lhs = 6:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp2-{F}(V3,V0,V4), pppp10-{F}(V4,V5), pppp0-{F}(V4,V6), pppp2-{F}(V6,V2,V5) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3257: exists( #6, #3253 ), references = 1, size of lhs = 7:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), pppp2-{F}(V4,V0,V5), pppp10-{F}(V5,V6), pppp0-{F}(V5,V7), pppp2-{F}(V7,V3,V6) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3266: exists( #36, #3262 ), references = 2, size of lhs = 6:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp2-{F}(V3,V0,V4), pppp0-{F}(V4,V5), P_set_intersection2-{F}(V6,V5,V4), pppp7-{F}(V6,V2,V5) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3267: exists( #36, #3263 ), references = 2, size of lhs = 7:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), pppp2-{F}(V4,V0,V5), pppp0-{F}(V5,V6), P_set_intersection2-{F}(V7,V6,V5), pppp7-{F}(V7,V3,V6) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3395: disj( #13, exists( #6, #3252 ) ), references = 1, size of lhs = 5:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp2-{F}(V3,V0,V4), pppp10-{F}(V4,V5), pppp0-{F}(V4,V6) | pppp11-{T}(V6,V2,V5)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3396: disj( #13, exists( #6, #3253 ) ), references = 1, size of lhs = 6:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), pppp2-{F}(V4,V0,V5), pppp10-{F}(V5,V6), pppp0-{F}(V5,V7) | pppp11-{T}(V7,V3,V6)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3430: exists( #36, #3426 ), references = 1, size of lhs = 3:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp7-{F}(V0,V2,V3) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3431: exists( #36, #3427 ), references = 1, size of lhs = 4:
% 177.18/177.35 pppp0-{F}(V0,V1), pppp0-{F}(V1,V2), pppp0-{F}(V2,V3), pppp7-{F}(V0,V3,V4) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3434: exists( #29, #3428 ), references = 1, size of lhs = 3:
% 177.18/177.35 pppp8-{F}(V0,V1), pppp0-{F}(V0,V2), pppp0-{F}(V2,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3435: exists( #29, #3429 ), references = 1, size of lhs = 4:
% 177.18/177.35 pppp8-{F}(V0,V1), pppp0-{F}(V0,V2), pppp0-{F}(V2,V3), pppp0-{F}(V3,V1) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3442: exists( #28, #3438 ), references = 2, size of lhs = 2:
% 177.18/177.35 pppp9-{F}(V0), pppp0-{F}(V0,V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3443: exists( #28, #3439 ), references = 1, size of lhs = 3:
% 177.18/177.35 pppp9-{F}(V0), pppp0-{F}(V0,V1), pppp0-{F}(V1,V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3450: mergings( V0 == V2; #3447 ), references = 1, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3452: mergings( V0 == V2; #3448 ), references = 1, size of lhs = 2:
% 177.18/177.35 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3464: mergings( V0 == V2; #3461 ), references = 1, size of lhs = 1:
% 177.18/177.35 P_empty_set-{F}(V0) | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 #3467: exists( #37, #3461 ), references = 1, size of lhs = 0:
% 177.18/177.35 FALSE | FALSE
% 177.18/177.35 (used 0 times, uses = {})
% 177.18/177.35
% 177.18/177.35 number of learnt formulas = 64
% 177.18/177.35
% 177.18/177.35
% 177.18/177.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.18/177.35
% 177.18/177.35 randbase = 1
%------------------------------------------------------------------------------