TSTP Solution File: SEU173+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 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 06:17:24 EDT 2022
% Result : Theorem 10.74s 10.91s
% Output : Refutation 10.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU173+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 : Fri Jul 22 19:04:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.74/10.91 GeoParameters:
% 10.74/10.91
% 10.74/10.91 tptp_input = 1
% 10.74/10.91 tptp_output = 0
% 10.74/10.91 nonempty = 1
% 10.74/10.91 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.74/10.91 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.74/10.91
% 10.74/10.91
% 10.74/10.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.74/10.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.74/10.91
% 10.74/10.91 RuleSystem INPUT:
% 10.74/10.91
% 10.74/10.91 Initial Rules:
% 10.74/10.91 #0: input, references = 12, size of lhs = 2:
% 10.74/10.91 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1: input, references = 7, size of lhs = 1:
% 10.74/10.91 P_powerset-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #2: input, references = 3, size of lhs = 3:
% 10.74/10.91 P_powerset-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #3: input, references = 16, size of lhs = 2:
% 10.74/10.91 pppp0-{F}(V0,V1), in-{F}(V2,V1) | subset-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #4: input, references = 11, size of lhs = 2:
% 10.74/10.91 pppp0-{F}(V0,V1), subset-{F}(V2,V0) | in-{T}(V2,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #5: input, references = 5, size of lhs = 2:
% 10.74/10.91 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp11-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #6: input, references = 7, size of lhs = 1:
% 10.74/10.91 pppp11-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #7: input, references = 19, size of lhs = 3:
% 10.74/10.91 pppp2-{F}(V0,V1,V2), subset-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #8: input, references = 8, size of lhs = 1:
% 10.74/10.91 pppp2-{F}(V0,V1,V2) | in-{T}(V2,V1), subset-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #9: input, references = 4, size of lhs = 1:
% 10.74/10.91 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #10: input, references = 4, size of lhs = 1:
% 10.74/10.91 in-{F}(V1,V0) | empty-{T}(V0), element-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #11: input, references = 4, size of lhs = 2:
% 10.74/10.91 empty-{F}(V0), element-{F}(V1,V0) | empty-{T}(V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #12: input, references = 3, size of lhs = 2:
% 10.74/10.91 empty-{F}(V0), empty-{F}(V1) | element-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #13: input, references = 14, size of lhs = 1:
% 10.74/10.91 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #14: input, references = 9, size of lhs = 1:
% 10.74/10.91 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #15: input, references = 16, size of lhs = 2:
% 10.74/10.91 pppp1-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #16: input, references = 14, size of lhs = 2:
% 10.74/10.91 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp12-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #17: input, references = 5, size of lhs = 1:
% 10.74/10.91 pppp12-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #18: input, references = 7, size of lhs = 2:
% 10.74/10.91 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #19: input, references = 5, size of lhs = 1:
% 10.74/10.91 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #20: input, references = 7, size of lhs = 1:
% 10.74/10.91 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #21: input, references = 11, size of lhs = 1:
% 10.74/10.91 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #22: input, references = 4, size of lhs = 2:
% 10.74/10.91 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #23: input, references = 3, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #24: input, references = 4, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #25: input, references = 5, size of lhs = 1:
% 10.74/10.91 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #26: input, references = 5, size of lhs = 3:
% 10.74/10.91 pppp5-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #27: input, references = 10, size of lhs = 3:
% 10.74/10.91 pppp5-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V3,V0) | in-{T}(V3,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #28: input, references = 4, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #29: input, references = 3, size of lhs = 1:
% 10.74/10.91 pppp13-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #30: input, references = 3, size of lhs = 2:
% 10.74/10.91 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #31: input, references = 3, size of lhs = 1:
% 10.74/10.91 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #32: input, references = 4, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #33: input, references = 5, size of lhs = 1:
% 10.74/10.91 pppp8-{F}(V0) | empty-{T}(V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #34: input, references = 4, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #35: input, references = 4, size of lhs = 1:
% 10.74/10.91 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #36: input, references = 7, size of lhs = 1:
% 10.74/10.91 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #37: input, references = 3, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #38: input, references = 3, size of lhs = 2:
% 10.74/10.91 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #39: input, references = 3, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #40: input, references = 6, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #41: input, references = 6, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #42: input, references = 4, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #43: input, references = 12, size of lhs = 1:
% 10.74/10.91 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #44: input, references = 4, size of lhs = 0:
% 10.74/10.91 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 number of initial rules = 45
% 10.74/10.91
% 10.74/10.91 Simplifiers:
% 10.74/10.91 #45: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #46: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #47: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #48: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #49: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #50: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #51: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #52: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #53: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #54: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #55: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #56: unsound, references = 3, size of lhs = 3:
% 10.74/10.91 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 number of simplifiers = 12
% 10.74/10.91
% 10.74/10.91 Learnt:
% 10.74/10.91 #59: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 10.74/10.91 subset-{F}(V0,V1) | pppp11-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #67: exists( #20, #64 ), references = 1, size of lhs = 2:
% 10.74/10.91 empty-{F}(V0), P_empty_set-{F}(V1) | pppp4-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #73: mergings( V0 == V2; #70 ), references = 1, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #75: mergings( V0 == V2; #71 ), references = 1, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #79: disj( #5, input ), references = 3, size of lhs = 3:
% 10.74/10.91 P_powerset-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp11-{T}(V0,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #86: disj( #16, #14+#7 ), references = 1, size of lhs = 2:
% 10.74/10.91 in-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | pppp12-{T}(V0,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #92: mergings( V0 == V4; #90 ), references = 5, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #95: disj( #9, input ), references = 11, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #97: mergings( V1 == V2; #94 ), references = 1, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #106: disj( #10, input ), references = 2, size of lhs = 2:
% 10.74/10.91 in-{F}(V0,V1), P_powerset-{F}(V2,V1) | element-{T}(V0,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #107: disj( #10, input ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), in-{F}(V1,V2), V2 == V0 | element-{T}(V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #109: mergings( V1 == V2; #105 ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0) | element-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #114: disj( #16, #15+#0 ), references = 1, size of lhs = 1:
% 10.74/10.91 in-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #115: disj( #16, #15+#41 ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp12-{T}(V3,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #142: disj( #8, #13+#15+#41 ), references = 1, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), subset-{F}(V2,V1), pppp2-{F}(V3,V2,V4) | subset-{T}(V4,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #143: disj( #8, #13+#15+#0 ), references = 4, size of lhs = 2:
% 10.74/10.91 subset-{F}(V0,V1), pppp2-{F}(V2,V0,V1) | subset-{T}(V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #144: disj( #8, #13+#15+#18 ), references = 1, size of lhs = 3:
% 10.74/10.91 subset-{F}(V0,V1), pppp2-{F}(V2,V0,V3), pppp3-{F}(V4,V1,V3) | subset-{T}(V3,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #161: mergings( V0 == V3; #157 ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #164: mergings( V0 == V3, V1 == V3; #158 ), references = 1, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #167: mergings( V0 == V3, V1 == V3; #159 ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #181: disj( #16, #14+#143+#4+#0 ), references = 1, size of lhs = 2:
% 10.74/10.91 pppp0-{F}(V0,V1), pppp2-{F}(V0,V2,V1) | pppp12-{T}(V2,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #201: disj( #8, #4+#0 ), references = 1, size of lhs = 2:
% 10.74/10.91 pppp0-{F}(V0,V1), pppp2-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #214: disj( #16, #15+#3+#7 ), references = 1, size of lhs = 4:
% 10.74/10.91 pppp0-{F}(V0,V1), in-{F}(V2,V3), in-{F}(V2,V4), pppp2-{F}(V0,V4,V2) | pppp12-{T}(V3,V1)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #251: mergings( V2 == V3; #249 ), references = 4, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), V2 == V0 | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #257: mergings( V3 == V4; #255 ), references = 3, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp12-{F}(V2,V3) | pppp3-{T}(V2,V3,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #274: disj( #8, #4+#0 ), references = 2, size of lhs = 3:
% 10.74/10.91 subset-{F}(V0,V1), pppp0-{F}(V1,V2), pppp2-{F}(V3,V0,V2) | subset-{T}(V2,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #279: disj( #16, #14+#273+#4+#0 ), references = 1, size of lhs = 4:
% 10.74/10.91 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp0-{F}(V3,V2), pppp2-{F}(V3,V4,V1) | pppp12-{T}(V4,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #334: exists( #43, #331 ), references = 1, size of lhs = 2:
% 10.74/10.91 P_empty_set-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #336: exists( #25, #333 ), references = 1, size of lhs = 2:
% 10.74/10.91 pppp6-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #374: mergings( V2 == V3; #372 ), references = 1, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), V2 == V0 | pppp4-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #400: disj( #16, #257+#18 ), references = 2, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), in-{F}(V0,V3) | pppp1-{T}(V2,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #480: mergings( V2 == V3; #478 ), references = 1, size of lhs = 3:
% 10.74/10.91 P_empty_set-{F}(V0), in-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | P_powerset-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #506: disj( #8, #13+#251 ), references = 3, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V1,V2,V3), V3 == V0 | in-{T}(V3,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #507: disj( #8, #4+#7 ), references = 1, size of lhs = 4:
% 10.74/10.91 pppp0-{F}(V0,V1), pppp2-{F}(V0,V2,V3), subset-{F}(V3,V4), pppp2-{F}(V4,V1,V3) | in-{T}(V3,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #512: exists( #6, #510 ), references = 6, size of lhs = 5:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V1,V2), pppp1-{F}(V2,V3), pppp0-{F}(V1,V3) | pppp2-{T}(V1,V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #612: mergings( V2 == V3; #610 ), references = 1, size of lhs = 4:
% 10.74/10.91 P_empty_set-{F}(V0), in-{F}(V0,V1), pppp5-{F}(V1,V2), pppp2-{F}(V2,V2,V0) | P_powerset-{T}(V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #618: exists( #43, #616 ), references = 1, size of lhs = 2:
% 10.74/10.91 pppp5-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #681: disj( #8, #15+#3+#7 ), references = 2, size of lhs = 4:
% 10.74/10.91 pppp0-{F}(V0,V1), pppp1-{F}(V2,V1), pppp2-{F}(V0,V2,V3), pppp2-{F}(V4,V2,V3) | subset-{T}(V3,V4)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #709: exists( #6, #707 ), references = 1, size of lhs = 6:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V1,V2), pppp5-{F}(V2,V3), pppp0-{F}(V1,V3), P_powerset-{F}(V3,V4) | pppp2-{T}(V1,V2,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #753: exists( #43, #751 ), references = 1, size of lhs = 5:
% 10.74/10.91 pppp0-{F}(V0,V1), pppp5-{F}(V2,V1), in-{F}(V3,V2), in-{F}(V3,V4), pppp2-{F}(V0,V4,V3) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #813: mergings( V2 == V3; #811 ), references = 4, size of lhs = 5:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V1,V2), pppp1-{F}(V3,V2), V3 == V0 | pppp4-{T}(V3,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #830: mergings( V2 == V3, V3 == V9, V9 == V10, V10 == V12; #825 ), references = 2, size of lhs = 12:
% 10.74/10.91 empty-{F}(V0), pppp0-{F}(V0,V1), empty-{F}(V2), pppp11-{F}(V2,V3), pppp0-{F}(V2,V4), pppp2-{F}(V4,V1,V3), pppp2-{F}(V5,V1,V3), empty-{F}(V6), pppp0-{F}(V6,V4), P_empty_set-{F}(V7), V3 == V7, subset-{F}(V7,V2) | P_powerset-{T}(V5,V7)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #890: exists( #43, #888 ), references = 1, size of lhs = 4:
% 10.74/10.91 pppp5-{F}(V0,V1), in-{F}(V2,V0), subset-{F}(V2,V3), pppp2-{F}(V3,V1,V2) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #929: mergings( V6 == V8; #927 ), references = 1, size of lhs = 11:
% 10.74/10.91 empty-{F}(V0), pppp11-{F}(V0,V1), in-{F}(V1,V2), pppp5-{F}(V2,V3), pppp0-{F}(V0,V4), pppp0-{F}(V4,V3), empty-{F}(V5), pppp0-{F}(V5,V4), P_empty_set-{F}(V6), V1 == V6, subset-{F}(V6,V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #935: mergings( V3 == V8, V8 == V10; #932 ), references = 1, size of lhs = 11:
% 10.74/10.91 empty-{F}(V0), pppp11-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp0-{F}(V2,V4), pppp0-{F}(V4,V5), pppp5-{F}(V1,V5), empty-{F}(V6), pppp0-{F}(V6,V4), P_empty_set-{F}(V7), subset-{F}(V7,V2) | pppp2-{T}(V0,V1,V3), pppp2-{T}(V0,V1,V7)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #939: mergings( V0 == V7, V7 == V9; #936 ), references = 1, size of lhs = 13:
% 10.74/10.91 empty-{F}(V0), pppp11-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp0-{F}(V2,V4), pppp0-{F}(V4,V5), pppp5-{F}(V1,V5), empty-{F}(V6), pppp0-{F}(V6,V4), P_empty_set-{F}(V7), subset-{F}(V7,V2), subset-{F}(V7,V0), in-{F}(V7,V1) | pppp2-{T}(V0,V1,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1038: disj( #16, #15+#7 ), references = 2, size of lhs = 3:
% 10.74/10.91 in-{F}(V0,V1), subset-{F}(V0,V2), pppp2-{F}(V2,V3,V0) | pppp12-{T}(V1,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1065: disj( #16, #14+#4+#106+#26 ), references = 2, size of lhs = 4:
% 10.74/10.91 pppp0-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V3,V1), pppp5-{F}(V4,V3) | pppp12-{T}(V4,V0)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1135: mergings( V5 == V7; #1132 ), references = 1, size of lhs = 10:
% 10.74/10.91 empty-{F}(V0), pppp11-{F}(V0,V1), in-{F}(V1,V2), pppp0-{F}(V0,V3), pppp0-{F}(V3,V4), empty-{F}(V5), pppp0-{F}(V5,V3), P_empty_set-{F}(V6), V1 == V6, subset-{F}(V6,V0) | pppp12-{T}(V2,V4)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1138: mergings( V2 == V7, V7 == V8; #1133 ), references = 1, size of lhs = 13:
% 10.74/10.91 empty-{F}(V0), pppp11-{F}(V0,V1), in-{F}(V1,V2), pppp0-{F}(V0,V3), pppp0-{F}(V3,V4), empty-{F}(V5), pppp0-{F}(V5,V3), P_empty_set-{F}(V6), V1 == V6, subset-{F}(V6,V0), empty-{F}(V7), pppp0-{F}(V7,V8), in-{F}(V6,V8) | pppp12-{T}(V2,V4)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1141: disj( #16, #512+#7 ), references = 1, size of lhs = 6:
% 10.74/10.91 P_empty_set-{F}(V0), empty-{F}(V1), subset-{F}(V0,V1), pppp11-{F}(V1,V2), in-{F}(V0,V2), pppp0-{F}(V1,V3) | pppp12-{T}(V2,V3)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1153: exists( #6, #1151 ), references = 1, size of lhs = 11:
% 10.74/10.91 empty-{F}(V0), pppp0-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp0-{F}(V2,V4), pppp11-{F}(V4,V1), empty-{F}(V5), pppp0-{F}(V5,V4), P_empty_set-{F}(V6), subset-{F}(V6,V2), empty-{F}(V6) | pppp2-{T}(V4,V1,V3), pppp2-{T}(V4,V1,V6)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1485: disj( #16, #14+#143+#4+#0 ), references = 1, size of lhs = 3:
% 10.74/10.91 pppp0-{F}(V0,V1), in-{F}(V1,V2), pppp2-{F}(V0,V3,V2) | pppp12-{T}(V3,V2)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1486: disj( #16, #14+#143+#274+#7 ), references = 1, size of lhs = 5:
% 10.74/10.91 pppp0-{F}(V0,V1), in-{F}(V1,V2), pppp2-{F}(V3,V2,V1), pppp2-{F}(V3,V4,V1), pppp2-{F}(V0,V5,V4) | pppp12-{T}(V5,V4)
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1692: exists( #17, #1690 ), references = 1, size of lhs = 3:
% 10.74/10.91 pppp12-{F}(V0,V1), pppp5-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1696: exists( #43, #1694 ), references = 1, size of lhs = 1:
% 10.74/10.91 pppp5-{F}(V0,V1) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1698: exists( #25, #1695 ), references = 1, size of lhs = 1:
% 10.74/10.91 pppp6-{F}(V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1700: exists( #24, #1697 ), references = 1, size of lhs = 1:
% 10.74/10.91 P_empty_set-{F}(V0) | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 #1702: exists( #44, #1699 ), references = 1, size of lhs = 0:
% 10.74/10.91 FALSE | FALSE
% 10.74/10.91 (used 0 times, uses = {})
% 10.74/10.91
% 10.74/10.91 number of learnt formulas = 59
% 10.74/10.91
% 10.74/10.91
% 10.74/10.91 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.74/10.91
% 10.74/10.91 randbase = 1
%------------------------------------------------------------------------------