TSTP Solution File: SET624+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:16:29 EDT 2022
% Result : Theorem 59.93s 60.17s
% Output : Refutation 59.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 02:24:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 59.93/60.17 GeoParameters:
% 59.93/60.17
% 59.93/60.17 tptp_input = 1
% 59.93/60.17 tptp_output = 0
% 59.93/60.17 nonempty = 1
% 59.93/60.17 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.17 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 59.93/60.17
% 59.93/60.17
% 59.93/60.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.17
% 59.93/60.17 RuleSystem INPUT:
% 59.93/60.17
% 59.93/60.17 Initial Rules:
% 59.93/60.17 #0: input, references = 22, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V2,V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1: input, references = 21, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V1,V3), pppp0-{F}(V2,V0,V1) | member-{T}(V2,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #2: input, references = 6, size of lhs = 1:
% 59.93/60.17 pppp0-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #3: input, references = 15, size of lhs = 2:
% 59.93/60.17 #-{F} V2, member-{F}(V0,V1) | pppp0-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #4: input, references = 12, size of lhs = 2:
% 59.93/60.17 #-{F} V1, member-{F}(V0,V2) | pppp0-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #5: input, references = 8, size of lhs = 1:
% 59.93/60.17 intersect-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #6: input, references = 16, size of lhs = 1:
% 59.93/60.17 pppp1-{F}(V0,V1) | intersect-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #7: input, references = 6, size of lhs = 1:
% 59.93/60.17 pppp1-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V2,V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #8: input, references = 20, size of lhs = 2:
% 59.93/60.17 member-{F}(V2,V0), member-{F}(V2,V1) | pppp1-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #9: input, references = 7, size of lhs = 1:
% 59.93/60.17 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #10: input, references = 7, size of lhs = 1:
% 59.93/60.17 pppp4-{F}(V0,V1,V2) | member-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #11: input, references = 4, size of lhs = 3:
% 59.93/60.17 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #12: input, references = 9, size of lhs = 1:
% 59.93/60.17 intersect-{F}(V0,V1) | intersect-{T}(V1,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #13: input, references = 3, size of lhs = 1:
% 59.93/60.17 #-{F} V1 | pppp2-{T}(V1,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #14: input, references = 3, size of lhs = 2:
% 59.93/60.17 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #15: input, references = 3, size of lhs = 2:
% 59.93/60.17 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #16: input, references = 3, size of lhs = 2:
% 59.93/60.17 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #17: input, references = 4, size of lhs = 2:
% 59.93/60.17 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #18: input, references = 14, size of lhs = 1:
% 59.93/60.17 pppp9-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V2,V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #19: input, references = 11, size of lhs = 3:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), member-{F}(V0,V2), member-{F}(V0,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #20: input, references = 11, size of lhs = 1:
% 59.93/60.17 pppp5-{F}(V0,V1,V2) | member-{T}(V0,V1), member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #21: input, references = 4, size of lhs = 0:
% 59.93/60.17 FALSE | EXISTS V0: pppp8-{T}(V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #22: input, references = 4, size of lhs = 1:
% 59.93/60.17 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #23: input, references = 5, size of lhs = 1:
% 59.93/60.17 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V2,V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #24: input, references = 8, size of lhs = 4:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3), pppp3-{F}(V0,V1,V2), intersect-{F}(V1,V3) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #25: input, references = 8, size of lhs = 2:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3) | intersect-{T}(V1,V3), pppp3-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #26: input, references = 6, size of lhs = 1:
% 59.93/60.17 pppp3-{F}(V0,V1,V2) | intersect-{T}(V1,V2), intersect-{T}(V1,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #27: input, references = 11, size of lhs = 2:
% 59.93/60.17 #-{F} V0, intersect-{F}(V1,V2) | pppp3-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #28: input, references = 9, size of lhs = 2:
% 59.93/60.17 #-{F} V2, intersect-{F}(V1,V0) | pppp3-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #29: input, references = 10, size of lhs = 2:
% 59.93/60.17 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 number of initial rules = 30
% 59.93/60.17
% 59.93/60.17 Simplifiers:
% 59.93/60.17 #30: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #31: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2), V0 == V3 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #32: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V1,V2), V0 == V3 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #33: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V2), V0 == V3 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #34: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V5), V2 == V5 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #35: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V1 == V4 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #36: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #37: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #38: unsound, references = 3, size of lhs = 3:
% 59.93/60.17 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 number of simplifiers = 9
% 59.93/60.17
% 59.93/60.17 Learnt:
% 59.93/60.17 #40: disj( #17, input ), references = 5, size of lhs = 3:
% 59.93/60.17 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #43: exists( #29, #11 ), references = 6, size of lhs = 1:
% 59.93/60.17 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #45: disj( #26, input ), references = 1, size of lhs = 4:
% 59.93/60.17 pppp3-{F}(V0,V1,V2), pppp6-{F}(V3,V1,V4), P_union-{F}(V4,V3,V2), pppp3-{F}(V3,V1,V4) | intersect-{T}(V1,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #50: mergings( V2 == V0, V0 == V3; #47 ), references = 1, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V0,V0), pppp6-{F}(V0,V1,V0) | intersect-{T}(V1,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #54: disj( #20, input ), references = 1, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #60: exists( #29, #58 ), references = 10, size of lhs = 4:
% 59.93/60.17 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3), pppp6-{F}(V2,V1,V3), pppp3-{F}(V2,V1,V3) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #76: disj( #20, #4+#8+#6+#27+#60 ), references = 3, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3), pppp6-{F}(V4,V1,V3) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #94: disj( #20, #3+#1+#8+#6+#28+#60 ), references = 1, size of lhs = 3:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp6-{F}(V1,V3,V4), P_union-{F}(V1,V4,V3) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #95: disj( #20, #3+#1+#8+#6+#28+#24 ), references = 1, size of lhs = 5:
% 59.93/60.17 intersect-{F}(V0,V1), P_union-{F}(V2,V3,V0), pppp6-{F}(V2,V0,V4), P_union-{F}(V4,V2,V1), pppp5-{F}(V5,V2,V6) | member-{T}(V5,V6)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #105: disj( #20, #4+#1+#19 ), references = 7, size of lhs = 3:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V3), P_union-{F}(V4,V1,V3) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #115: disj( #20, #3+#1+#76+#19 ), references = 1, size of lhs = 5:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), pppp5-{F}(V0,V3,V4), P_union-{F}(V2,V5,V6), pppp6-{F}(V7,V6,V4) | member-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #122: disj( #2, input ), references = 6, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp0-{F}(V0,V3,V2) | member-{T}(V0,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #198: exists( #18, #194 ), references = 2, size of lhs = 6:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V0,V1), P_union-{F}(V4,V3,V1), pppp6-{F}(V4,V5,V3), P_union-{F}(V3,V6,V5) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #199: exists( #18, #195 ), references = 1, size of lhs = 7:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V0,V1), P_union-{F}(V3,V4,V5), intersect-{F}(V6,V5), pppp6-{F}(V4,V6,V3), P_union-{F}(V3,V7,V6) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #204: exists( #29, #202 ), references = 1, size of lhs = 2:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), P_union-{F}(V2,V3,V1) | P_union-{T}(V2,V0,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #219: mergings( V4 == V2, V3 == V0; #216 ), references = 1, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V1,V1), pppp6-{F}(V1,V2,V0) | pppp3-{T}(V1,V2,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #221: disj( #26, input ), references = 1, size of lhs = 4:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3), pppp3-{F}(V3,V1,V4) | intersect-{T}(V1,V4)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #231: exists( #7, #229 ), references = 6, size of lhs = 3:
% 59.93/60.17 pppp1-{F}(V0,V1), pppp6-{F}(V2,V1,V0), pppp3-{F}(V2,V1,V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #238: exists( #23, #236 ), references = 1, size of lhs = 2:
% 59.93/60.17 pppp7-{F}(V0,V1), P_union-{F}(V1,V2,V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #312: exists( #18, #310 ), references = 1, size of lhs = 3:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V1,V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #370: exists( #18, #368 ), references = 1, size of lhs = 4:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V3,V0,V1), P_union-{F}(V3,V4,V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #373: exists( #29, #371 ), references = 3, size of lhs = 1:
% 59.93/60.17 P_union-{F}(V0,V1,V2) | P_union-{T}(V0,V2,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #396: exists( #18, #394 ), references = 2, size of lhs = 3:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V0,V0,V1), P_union-{F}(V2,V0,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #416: disj( #2, input ), references = 11, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp5-{F}(V0,V1,V2), pppp0-{F}(V0,V2,V3) | member-{T}(V0,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #440: exists( #18, #438 ), references = 1, size of lhs = 5:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V0,V1), P_union-{F}(V1,V3,V4), P_union-{F}(V5,V0,V4), pppp6-{F}(V6,V5,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #447: disj( #20, #4+#1+#19 ), references = 7, size of lhs = 3:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V2), P_union-{F}(V4,V2,V3) | member-{T}(V0,V1)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #458: disj( #20, #3+#8+#6+#28+#60 ), references = 1, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp5-{F}(V0,V2,V3), pppp6-{F}(V3,V1,V4) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #486: exists( #18, #484 ), references = 1, size of lhs = 5:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V2,V5), P_union-{F}(V5,V6,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #491: exists( #29, #489 ), references = 1, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V1,V2), P_union-{F}(V2,V3,V4) | P_union-{T}(V4,V1,V4)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #497: exists( #29, #495 ), references = 1, size of lhs = 1:
% 59.93/60.17 #-{F} V0 | P_union-{T}(V0,V0,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #537: mergings( V2 == V3, V0 == V4; #533 ), references = 1, size of lhs = 2:
% 59.93/60.17 P_union-{F}(V0,V1,V0), pppp6-{F}(V1,V2,V0) | pppp3-{T}(V1,V2,V0)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #546: disj( #20, exists( #29, #58 ) ), references = 1, size of lhs = 4:
% 59.93/60.17 pppp5-{F}(V0,V1,V2), pppp0-{F}(V0,V3,V4), pppp6-{F}(V3,V1,V4), pppp3-{F}(V3,V1,V4) | member-{T}(V0,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #556: exists( #7, #554 ), references = 4, size of lhs = 3:
% 59.93/60.17 pppp1-{F}(V0,V1), pppp6-{F}(V1,V0,V2), pppp3-{F}(V1,V0,V2) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #608: exists( #18, #606 ), references = 1, size of lhs = 7:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V4), P_union-{F}(V5,V0,V4), pppp6-{F}(V6,V3,V7), pppp3-{F}(V6,V3,V7), P_union-{F}(V6,V7,V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #625: exists( #18, #623 ), references = 1, size of lhs = 7:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), pppp6-{F}(V1,V4,V3), pppp3-{F}(V1,V4,V3), P_union-{F}(V1,V4,V5), P_union-{F}(V3,V6,V5) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #627: disj( #25, exists( #18, #623 ) ), references = 1, size of lhs = 7:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), P_union-{F}(V3,V1,V4), pppp6-{F}(V1,V5,V3), P_union-{F}(V1,V5,V6), P_union-{F}(V3,V7,V6) | intersect-{T}(V5,V4)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #840: exists( #18, #834 ), references = 1, size of lhs = 6:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), pppp6-{F}(V4,V5,V3), P_union-{F}(V1,V5,V6), P_union-{F}(V7,V0,V6) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #990: exists( #18, #984 ), references = 1, size of lhs = 6:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V2,V1,V0), P_union-{F}(V1,V3,V0), pppp6-{F}(V4,V5,V3), P_union-{F}(V1,V5,V6), P_union-{F}(V3,V7,V6) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1131: exists( #18, #1125 ), references = 1, size of lhs = 6:
% 59.93/60.17 pppp9-{F}(V0,V1), P_union-{F}(V1,V2,V0), P_union-{F}(V3,V1,V0), P_union-{F}(V4,V2,V5), P_union-{F}(V1,V6,V5), pppp6-{F}(V2,V6,V7) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1225: disj( #26, #5+#556 ), references = 1, size of lhs = 3:
% 59.93/60.17 pppp3-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V3), pppp3-{F}(V0,V1,V3) | intersect-{T}(V1,V2)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1230: disj( #25, #1224+#12+#5+#231 ), references = 1, size of lhs = 2:
% 59.93/60.17 pppp6-{F}(V0,V1,V2), P_union-{F}(V2,V0,V3) | intersect-{T}(V1,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1443: disj( #2, #8+#6+#28+#556 ), references = 1, size of lhs = 3:
% 59.93/60.17 member-{F}(V0,V1), pppp0-{F}(V0,V2,V3), pppp6-{F}(V2,V1,V4) | member-{T}(V0,V3)
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1471: mergings( V4 == V5, V3 == V6; #1466 ), references = 1, size of lhs = 3:
% 59.93/60.17 pppp1-{F}(V0,V1), pppp6-{F}(V2,V0,V3), P_union-{F}(V2,V3,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1486: mergings( V4 == V0; #1483 ), references = 1, size of lhs = 1:
% 59.93/60.17 pppp6-{F}(V0,V1,V2) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1490: exists( #23, #1483 ), references = 1, size of lhs = 1:
% 59.93/60.17 pppp7-{F}(V0,V1) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1494: exists( #22, #1487 ), references = 1, size of lhs = 1:
% 59.93/60.17 pppp8-{F}(V0) | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 #1498: exists( #21, #1491 ), references = 1, size of lhs = 0:
% 59.93/60.17 FALSE | FALSE
% 59.93/60.17 (used 0 times, uses = {})
% 59.93/60.17
% 59.93/60.17 number of learnt formulas = 47
% 59.93/60.17
% 59.93/60.17
% 59.93/60.17 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.93/60.17
% 59.93/60.17 randbase = 1
%------------------------------------------------------------------------------