TSTP Solution File: SET945+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:16:59 EDT 2022
% Result : Theorem 40.50s 40.74s
% Output : Refutation 40.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET945+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 01:50:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 40.50/40.74 GeoParameters:
% 40.50/40.74
% 40.50/40.74 tptp_input = 1
% 40.50/40.74 tptp_output = 0
% 40.50/40.74 nonempty = 1
% 40.50/40.74 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.50/40.74 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 40.50/40.74
% 40.50/40.74
% 40.50/40.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.50/40.74 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.50/40.74
% 40.50/40.74 RuleSystem INPUT:
% 40.50/40.74
% 40.50/40.74 Initial Rules:
% 40.50/40.74 #0: input, references = 9, size of lhs = 2:
% 40.50/40.74 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1: input, references = 4, size of lhs = 3:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2: input, references = 14, size of lhs = 1:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V3) | pppp1-{T}(V0,V1,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #3: input, references = 3, size of lhs = 3:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V3), pppp1-{F}(V0,V1,V2), V2 == V3 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #4: input, references = 18, size of lhs = 2:
% 40.50/40.74 pppp1-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp0-{T}(V0,V1,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #5: input, references = 10, size of lhs = 2:
% 40.50/40.74 pppp1-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #6: input, references = 9, size of lhs = 3:
% 40.50/40.74 #-{F} V0, #-{F} V1, #-{F} V2 | pppp1-{T}(V0,V1,V2), pppp12-{T}(V0,V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #7: input, references = 3, size of lhs = 1:
% 40.50/40.74 pppp12-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #8: input, references = 12, size of lhs = 3:
% 40.50/40.74 pppp4-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #9: input, references = 15, size of lhs = 1:
% 40.50/40.74 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp0-{T}(V0,V1,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #10: input, references = 18, size of lhs = 1:
% 40.50/40.74 pppp0-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #11: input, references = 10, size of lhs = 1:
% 40.50/40.74 pppp0-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #12: input, references = 14, size of lhs = 2:
% 40.50/40.74 in-{F}(V2,V0), in-{F}(V2,V1) | pppp0-{T}(V0,V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #13: input, references = 4, size of lhs = 1:
% 40.50/40.74 P_union-{F}(V0,V2) | pppp3-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #14: input, references = 3, size of lhs = 3:
% 40.50/40.74 P_union-{F}(V0,V2), pppp3-{F}(V0,V1), V1 == V2 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #15: input, references = 7, size of lhs = 2:
% 40.50/40.74 pppp3-{F}(V0,V1), in-{F}(V2,V1) | pppp2-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #16: input, references = 6, size of lhs = 2:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp2-{F}(V0,V2) | in-{T}(V2,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #17: input, references = 4, size of lhs = 2:
% 40.50/40.74 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp13-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #18: input, references = 3, size of lhs = 1:
% 40.50/40.74 pppp13-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #19: input, references = 6, size of lhs = 3:
% 40.50/40.74 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #20: input, references = 7, size of lhs = 1:
% 40.50/40.74 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp2-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #21: input, references = 6, size of lhs = 1:
% 40.50/40.74 pppp2-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #22: input, references = 5, size of lhs = 2:
% 40.50/40.74 in-{F}(V1,V2), in-{F}(V2,V0) | pppp2-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #23: input, references = 6, size of lhs = 1:
% 40.50/40.74 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #24: input, references = 6, size of lhs = 1:
% 40.50/40.74 pppp6-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #25: input, references = 4, size of lhs = 2:
% 40.50/40.74 P_set_intersection2-{F}(V0,V0,V1), V1 == V0 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #26: input, references = 3, size of lhs = 0:
% 40.50/40.74 FALSE | EXISTS V0: pppp7-{T}(V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #27: input, references = 3, size of lhs = 1:
% 40.50/40.74 pppp7-{F}(V0) | empty-{T}(V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #28: input, references = 3, size of lhs = 0:
% 40.50/40.74 FALSE | EXISTS V0: pppp8-{T}(V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #29: input, references = 3, size of lhs = 2:
% 40.50/40.74 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #30: input, references = 5, size of lhs = 1:
% 40.50/40.74 disjoint-{F}(V0,V1) | disjoint-{T}(V1,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #31: input, references = 10, size of lhs = 1:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2) | disjoint-{T}(V0,V1), pppp14-{T}(V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #32: input, references = 11, size of lhs = 1:
% 40.50/40.74 pppp14-{F}(V0) | EXISTS V1: pppp9-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #33: input, references = 8, size of lhs = 3:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2), in-{F}(V3,V2), disjoint-{F}(V0,V1) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #34: input, references = 11, size of lhs = 1:
% 40.50/40.74 pppp9-{F}(V0,V1) | in-{T}(V1,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #35: input, references = 4, size of lhs = 0:
% 40.50/40.74 FALSE | EXISTS V0: pppp11-{T}(V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #36: input, references = 4, size of lhs = 1:
% 40.50/40.74 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #37: input, references = 4, size of lhs = 3:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), disjoint-{F}(V2,V1) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #38: input, references = 7, size of lhs = 3:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), in-{F}(V3,V0) | disjoint-{T}(V3,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #39: input, references = 11, size of lhs = 2:
% 40.50/40.74 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #40: input, references = 4, size of lhs = 1:
% 40.50/40.74 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 number of initial rules = 41
% 40.50/40.74
% 40.50/40.74 Simplifiers:
% 40.50/40.74 #41: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #42: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #43: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #44: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #45: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #46: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #47: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #48: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #49: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp9-{F}(V0,V1), pppp9-{F}(V0,V3), V1 == V3 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #50: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #51: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #52: unsound, references = 3, size of lhs = 3:
% 40.50/40.74 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 number of simplifiers = 12
% 40.50/40.74
% 40.50/40.74 Learnt:
% 40.50/40.74 #54: exists( #39, #25 ), references = 3, size of lhs = 1:
% 40.50/40.74 #-{F} V0 | P_set_intersection2-{T}(V0,V0,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #56: disj( #17, input ), references = 1, size of lhs = 3:
% 40.50/40.74 P_union-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp13-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #58: exists( #39, #1 ), references = 11, size of lhs = 1:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #60: disj( #6, input ), references = 1, size of lhs = 3:
% 40.50/40.74 P_set_intersection2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp12-{T}(V0,V1,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #63: disj( #9, input ), references = 1, size of lhs = 2:
% 40.50/40.74 in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp0-{T}(V2,V3,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #69: disj( #9, #38+#33 ), references = 2, size of lhs = 5:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), in-{F}(V3,V4), P_set_intersection2-{F}(V5,V1,V4), pppp4-{F}(V6,V7,V0,V5) | pppp0-{T}(V6,V7,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #74: exists( #32, #72 ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), P_set_intersection2-{F}(V4,V2,V0), pppp4-{F}(V4,V5,V1,V4) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #83: disj( #9, #4+#11+#0 ), references = 1, size of lhs = 2:
% 40.50/40.74 pppp1-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V2,V1) | pppp0-{T}(V3,V4,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #84: disj( #9, #4+#4+#11+#8 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp1-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V4), pppp1-{F}(V5,V3,V2), pppp4-{F}(V6,V7,V2,V4) | pppp0-{T}(V6,V7,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #102: exists( #21, #100 ), references = 1, size of lhs = 1:
% 40.50/40.74 pppp2-{F}(V0,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #113: disj( #9, #10+#0 ), references = 1, size of lhs = 1:
% 40.50/40.74 pppp4-{F}(V0,V1,V2,V0) | in-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #155: exists( #21, #153 ), references = 5, size of lhs = 5:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp1-{F}(V2,V0,V3), pppp2-{F}(V3,V4), pppp4-{F}(V5,V6,V1,V4), pppp0-{F}(V5,V6,V4) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #165: mergings( V3 == V2; #163 ), references = 1, size of lhs = 2:
% 40.50/40.74 in-{F}(V0,V1), P_set_intersection2-{F}(V2,V3,V1) | pppp14-{T}(V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #226: disj( #6, exists( #21, #153 ) ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp2-{F}(V2,V3), pppp4-{F}(V4,V5,V1,V3), pppp0-{F}(V4,V5,V3), #-{F} V6 | pppp12-{T}(V6,V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #292: disj( #20, exists( #21, #100 ) ), references = 1, size of lhs = 1:
% 40.50/40.74 pppp5-{F}(V0,V1,V0) | in-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #414: exists( #32, #411 ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), in-{F}(V0,V1), pppp3-{F}(V1,V2), pppp1-{F}(V0,V2,V3), disjoint-{F}(V4,V5), P_set_intersection2-{F}(V4,V5,V3) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #419: mergings( V6 == V2; #417 ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp14-{F}(V0), in-{F}(V0,V1), pppp3-{F}(V1,V2), pppp1-{F}(V0,V2,V3), P_set_intersection2-{F}(V4,V5,V3) | pppp14-{T}(V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #491: exists( #32, #488 ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #545: exists( #32, #543 ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), pppp1-{F}(V4,V0,V3), pppp1-{F}(V4,V5,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #549: exists( #39, #547 ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V0,V1), pppp1-{F}(V1,V2,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #551: disj( #31, exists( #39, #547 ) ), references = 2, size of lhs = 3:
% 40.50/40.74 disjoint-{F}(V0,V1), pppp1-{F}(V1,V2,V0), P_set_intersection2-{F}(V3,V4,V0) | disjoint-{T}(V3,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #559: disj( #31, #551+#30+#37 ), references = 3, size of lhs = 5:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V3,V4,V5), pppp1-{F}(V4,V6,V3) | pppp14-{T}(V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #607: exists( #32, #605 ), references = 2, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), P_set_intersection2-{F}(V4,V2,V0), in-{F}(V5,V4), pppp4-{F}(V5,V6,V1,V4) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #680: disj( #9, exists( #32, #411 ) ), references = 5, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), pppp3-{F}(V1,V2), pppp1-{F}(V0,V2,V3), pppp4-{F}(V4,V5,V1,V0), disjoint-{F}(V6,V7), P_set_intersection2-{F}(V6,V7,V3) | pppp0-{T}(V4,V5,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #689: exists( #39, #685 ), references = 1, size of lhs = 8:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V0,V1), pppp3-{F}(V2,V1), pppp2-{F}(V3,V0), pppp4-{F}(V4,V5,V2,V0), pppp4-{F}(V4,V5,V6,V0), pppp3-{F}(V7,V6), pppp1-{F}(V8,V7,V3) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #690: exists( #39, #686 ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), in-{F}(V0,V1), disjoint-{F}(V0,V2), pppp3-{F}(V3,V2), pppp4-{F}(V4,V5,V3,V0), pppp4-{F}(V4,V5,V1,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #693: disj( #31, exists( #39, #685 ) ), references = 1, size of lhs = 8:
% 40.50/40.74 pppp3-{F}(V0,V1), disjoint-{F}(V2,V1), pppp2-{F}(V3,V2), P_set_intersection2-{F}(V4,V5,V2), pppp4-{F}(V6,V7,V0,V2), pppp4-{F}(V6,V7,V8,V2), pppp3-{F}(V9,V8), pppp1-{F}(V10,V9,V3) | disjoint-{T}(V4,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #694: disj( #31, exists( #39, #686 ) ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp3-{F}(V0,V1), disjoint-{F}(V2,V1), in-{F}(V2,V3), P_set_intersection2-{F}(V4,V5,V2), pppp4-{F}(V6,V7,V0,V2), pppp4-{F}(V6,V7,V3,V2) | disjoint-{T}(V4,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #770: disj( #9, #15+#19 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp5-{F}(V0,V2,V3), in-{F}(V3,V2), pppp4-{F}(V4,V5,V1,V3) | pppp0-{T}(V4,V5,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #843: disj( #9, exists( #21, #153 ) ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp1-{F}(V2,V0,V3), pppp2-{F}(V3,V4), pppp4-{F}(V5,V6,V1,V4), pppp4-{F}(V5,V6,V7,V4) | in-{T}(V4,V7)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #844: disj( #9, input ), references = 1, size of lhs = 3:
% 40.50/40.74 in-{F}(V0,V1), pppp4-{F}(V2,V3,V1,V0), pppp4-{F}(V2,V3,V4,V0) | in-{T}(V0,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #936: exists( #39, #932 ), references = 2, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V0,V1), pppp3-{F}(V2,V1), pppp4-{F}(V3,V4,V2,V0), pppp4-{F}(V5,V6,V3,V0), pppp0-{F}(V5,V6,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #937: exists( #39, #933 ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp14-{F}(V0), pppp2-{F}(V1,V0), pppp5-{F}(V1,V2,V0), disjoint-{F}(V0,V3), pppp3-{F}(V4,V3), pppp4-{F}(V2,V5,V4,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #940: disj( #31, exists( #39, #932 ) ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp3-{F}(V0,V1), disjoint-{F}(V2,V1), P_set_intersection2-{F}(V3,V4,V2), pppp4-{F}(V5,V6,V0,V2), pppp4-{F}(V7,V8,V5,V2), pppp0-{F}(V7,V8,V2) | disjoint-{T}(V3,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #941: disj( #31, exists( #39, #933 ) ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp2-{F}(V0,V1), pppp5-{F}(V0,V2,V1), disjoint-{F}(V1,V3), pppp3-{F}(V4,V3), pppp4-{F}(V2,V5,V4,V1), P_set_intersection2-{F}(V6,V7,V1) | disjoint-{T}(V6,V7)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1040: disj( #9, #10+#8 ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp0-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V2), pppp4-{F}(V3,V4,V5,V2) | in-{T}(V2,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1108: exists( #39, #1106 ), references = 4, size of lhs = 2:
% 40.50/40.74 disjoint-{F}(V0,V1), pppp0-{F}(V0,V1,V2) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1133: exists( #39, #1129 ), references = 1, size of lhs = 7:
% 40.50/40.74 pppp14-{F}(V0), in-{F}(V0,V1), disjoint-{F}(V0,V2), pppp3-{F}(V3,V2), pppp4-{F}(V4,V5,V1,V0), pppp1-{F}(V4,V5,V6), pppp4-{F}(V6,V7,V3,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1134: exists( #39, #1130 ), references = 1, size of lhs = 9:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V0,V1), pppp3-{F}(V2,V1), pppp2-{F}(V3,V0), pppp3-{F}(V4,V5), pppp1-{F}(V6,V4,V3), pppp4-{F}(V7,V8,V5,V0), pppp1-{F}(V7,V8,V9), pppp4-{F}(V9,V10,V2,V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1137: disj( #31, exists( #39, #1129 ) ), references = 1, size of lhs = 7:
% 40.50/40.74 pppp3-{F}(V0,V1), disjoint-{F}(V2,V1), in-{F}(V2,V3), P_set_intersection2-{F}(V4,V5,V2), pppp4-{F}(V6,V7,V3,V2), pppp1-{F}(V6,V7,V8), pppp4-{F}(V8,V9,V0,V2) | disjoint-{T}(V4,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1138: disj( #31, exists( #39, #1130 ) ), references = 1, size of lhs = 9:
% 40.50/40.74 pppp3-{F}(V0,V1), disjoint-{F}(V2,V1), pppp2-{F}(V3,V2), P_set_intersection2-{F}(V4,V5,V2), pppp3-{F}(V6,V7), pppp1-{F}(V8,V6,V3), pppp4-{F}(V9,V10,V7,V2), pppp1-{F}(V9,V10,V11), pppp4-{F}(V11,V12,V0,V2) | disjoint-{T}(V4,V5)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1219: disj( #9, #12+#8 ), references = 1, size of lhs = 4:
% 40.50/40.74 in-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V1,V3,V2,V0), pppp4-{F}(V4,V5,V3,V0) | pppp0-{T}(V4,V5,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1220: disj( #9, #12+#155 ), references = 1, size of lhs = 6:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp1-{F}(V2,V0,V3), pppp2-{F}(V3,V4), in-{F}(V4,V5), pppp4-{F}(V5,V6,V1,V4), pppp4-{F}(V7,V8,V6,V4) | pppp0-{T}(V7,V8,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1297: disj( #9, #12+#5+#4+#8 ), references = 1, size of lhs = 5:
% 40.50/40.74 in-{F}(V0,V1), pppp1-{F}(V2,V1,V3), pppp4-{F}(V4,V5,V2,V0), pppp1-{F}(V6,V7,V3), pppp4-{F}(V6,V7,V2,V0) | pppp0-{T}(V4,V5,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1298: disj( #9, #15+#12+#5+#4+#155 ), references = 1, size of lhs = 8:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp1-{F}(V2,V0,V3), pppp3-{F}(V3,V4), pppp1-{F}(V5,V4,V6), in-{F}(V7,V5), pppp4-{F}(V8,V9,V4,V7), pppp1-{F}(V10,V11,V6), pppp4-{F}(V10,V11,V1,V7) | pppp0-{T}(V8,V9,V7)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1429: disj( #9, #10+#38+#1108 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), pppp0-{F}(V3,V1,V4), pppp4-{F}(V0,V5,V6,V3) | in-{T}(V3,V6)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1430: disj( #9, #10+#38+#936 ), references = 1, size of lhs = 7:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), pppp3-{F}(V4,V2), pppp4-{F}(V1,V5,V6,V0), pppp4-{F}(V1,V5,V7,V0), pppp4-{F}(V7,V8,V4,V0) | in-{T}(V0,V6)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1443: exists( #32, #1441 ), references = 1, size of lhs = 9:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), pppp1-{F}(V4,V2,V0), pppp1-{F}(V4,V0,V5), pppp4-{F}(V1,V6,V7,V5), pppp4-{F}(V8,V9,V7,V5), pppp1-{F}(V8,V9,V10), pppp1-{F}(V10,V11,V7) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1483: exists( #32, #1481 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V1,V2), pppp1-{F}(V3,V1,V0), pppp1-{F}(V3,V0,V2) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1599: disj( #6, exists( #32, #1441 ) ), references = 1, size of lhs = 9:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), pppp1-{F}(V4,V2,V0), pppp1-{F}(V4,V0,V5), pppp4-{F}(V1,V6,V7,V5), pppp4-{F}(V8,V9,V7,V5), pppp1-{F}(V8,V9,V10), #-{F} V11 | pppp12-{T}(V10,V11,V7)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1684: disj( #6, exists( #32, #1481 ) ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V1,V2), pppp1-{F}(V3,V0,V2) | pppp12-{T}(V3,V1,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1688: disj( #6, exists( #32, #1441 ) ), references = 1, size of lhs = 8:
% 40.50/40.74 pppp14-{F}(V0), pppp10-{F}(V1,V2), P_union-{F}(V1,V3), pppp1-{F}(V4,V2,V0), pppp1-{F}(V5,V6,V7), pppp1-{F}(V7,V8,V9), pppp4-{F}(V5,V6,V9,V10), pppp4-{F}(V1,V11,V9,V10) | pppp12-{T}(V4,V0,V10)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1787: disj( #9, #4+#11+#15+#19 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp1-{F}(V2,V1,V3), pppp5-{F}(V0,V3,V4), pppp4-{F}(V5,V6,V3,V4) | pppp0-{T}(V5,V6,V4)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1914: disj( #20, input ), references = 1, size of lhs = 1:
% 40.50/40.74 pppp5-{F}(V0,V1,V1) | pppp2-{T}(V0,V1)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #1915: disj( #20, input ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp5-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V1,V2), pppp0-{F}(V3,V4,V2) | pppp2-{T}(V0,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2081: disj( #20, input ), references = 1, size of lhs = 3:
% 40.50/40.74 in-{F}(V0,V1), pppp5-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2277: disj( #20, #16+#0 ), references = 1, size of lhs = 2:
% 40.50/40.74 pppp3-{F}(V0,V1), pppp5-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2427: disj( #6, exists( #32, #543 ) ), references = 1, size of lhs = 5:
% 40.50/40.74 pppp14-{F}(V0), disjoint-{F}(V1,V2), P_set_intersection2-{F}(V1,V2,V3), pppp1-{F}(V4,V0,V3), #-{F} V5 | pppp12-{T}(V4,V5,V0)
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2533: exists( #21, #2531 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp2-{F}(V0,V1), in-{F}(V1,V2), pppp10-{F}(V0,V2), P_union-{F}(V0,V3) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2540: exists( #32, #2538 ), references = 2, size of lhs = 5:
% 40.50/40.74 pppp14-{F}(V0), pppp3-{F}(V1,V2), pppp10-{F}(V1,V3), pppp1-{F}(V2,V3,V0), P_union-{F}(V1,V4) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2606: mergings( V3 == V4, V0 == V5; #2602 ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp3-{F}(V0,V1), P_union-{F}(V0,V1), pppp10-{F}(V0,V2) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2609: mergings( V3 == V4, V0 == V5; #2603 ), references = 1, size of lhs = 4:
% 40.50/40.74 pppp10-{F}(V0,V1), P_union-{F}(V0,V2), in-{F}(V3,V2), pppp4-{F}(V3,V4,V0,V2) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2612: mergings( V2 == V3; #2610 ), references = 1, size of lhs = 3:
% 40.50/40.74 pppp11-{F}(V0), pppp3-{F}(V0,V1), P_union-{F}(V0,V1) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2615: exists( #40, #2613 ), references = 1, size of lhs = 1:
% 40.50/40.74 pppp11-{F}(V0) | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 #2617: exists( #35, #2614 ), references = 1, size of lhs = 0:
% 40.50/40.74 FALSE | FALSE
% 40.50/40.74 (used 0 times, uses = {})
% 40.50/40.74
% 40.50/40.74 number of learnt formulas = 65
% 40.50/40.74
% 40.50/40.74
% 40.50/40.74 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.50/40.74
% 40.50/40.74 randbase = 1
%------------------------------------------------------------------------------