TSTP Solution File: SET633+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:16:30 EDT 2022
% Result : Theorem 0.61s 0.81s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET633+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 01:33:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.81 GeoParameters:
% 0.61/0.81
% 0.61/0.81 tptp_input = 1
% 0.61/0.81 tptp_output = 0
% 0.61/0.81 nonempty = 1
% 0.61/0.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.81
% 0.61/0.81 RuleSystem INPUT:
% 0.61/0.81
% 0.61/0.81 Initial Rules:
% 0.61/0.81 #0: input, references = 5, size of lhs = 5:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_union-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #1: input, references = 6, size of lhs = 3:
% 0.61/0.81 subset-{F}(V1,V0), P_union-{F}(V2,V1,V3), subset-{F}(V2,V0) | subset-{T}(V3,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #2: input, references = 10, size of lhs = 2:
% 0.61/0.81 P_difference-{F}(V0,V1,V3), member-{F}(V2,V3) | pppp0-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #3: input, references = 5, size of lhs = 2:
% 0.61/0.81 P_difference-{F}(V0,V1,V3), pppp0-{F}(V0,V1,V2) | member-{T}(V2,V3)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #4: input, references = 8, size of lhs = 1:
% 0.61/0.81 pppp0-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #5: input, references = 9, size of lhs = 2:
% 0.61/0.81 pppp0-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #6: input, references = 4, size of lhs = 2:
% 0.61/0.81 #-{F} V1, member-{F}(V2,V0) | pppp0-{T}(V0,V1,V2), member-{T}(V2,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #7: input, references = 4, size of lhs = 1:
% 0.61/0.81 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #8: input, references = 3, size of lhs = 1:
% 0.61/0.81 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #9: input, references = 8, size of lhs = 2:
% 0.61/0.81 pppp1-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #10: input, references = 6, size of lhs = 2:
% 0.61/0.81 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp8-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #11: input, references = 3, size of lhs = 1:
% 0.61/0.81 pppp8-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #12: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp3-{F}(V0,V1,V2), member-{F}(V2,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #13: input, references = 3, size of lhs = 1:
% 0.61/0.81 pppp3-{F}(V0,V1,V2) | member-{T}(V2,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #14: input, references = 4, size of lhs = 3:
% 0.61/0.81 P_union-{F}(V0,V1,V2), P_union-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #15: input, references = 4, size of lhs = 3:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #16: input, references = 3, size of lhs = 1:
% 0.61/0.81 #-{F} V1 | pppp2-{T}(V1,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #17: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp2-{F}(V0,V1), V0 == V1 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #18: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp2-{F}(V0,V1), member-{F}(V2,V0) | member-{T}(V2,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #19: input, references = 3, size of lhs = 2:
% 0.61/0.81 pppp2-{F}(V0,V1), member-{F}(V2,V1) | member-{T}(V2,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #20: input, references = 4, size of lhs = 2:
% 0.61/0.81 #-{F} V0, #-{F} V1 | pppp2-{T}(V0,V1), pppp9-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #21: input, references = 6, size of lhs = 1:
% 0.61/0.81 pppp9-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #22: input, references = 8, size of lhs = 3:
% 0.61/0.81 pppp4-{F}(V0,V1,V2), member-{F}(V2,V1), member-{F}(V2,V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #23: input, references = 4, size of lhs = 1:
% 0.61/0.81 pppp4-{F}(V0,V1,V2) | member-{T}(V2,V0), member-{T}(V2,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #24: input, references = 4, size of lhs = 1:
% 0.61/0.81 #-{F} V0 | subset-{T}(V0,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #25: input, references = 4, size of lhs = 0:
% 0.61/0.81 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #26: input, references = 5, size of lhs = 1:
% 0.61/0.81 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #27: input, references = 5, size of lhs = 1:
% 0.61/0.81 pppp6-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #28: input, references = 6, size of lhs = 5:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_symmetric_difference-{F}(V0,V1,V5), subset-{F}(V5,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #29: input, references = 5, size of lhs = 4:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_symmetric_difference-{F}(V0,V1,V5) | subset-{T}(V4,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #30: input, references = 4, size of lhs = 4:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_symmetric_difference-{F}(V0,V1,V5) | subset-{T}(V3,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #31: input, references = 7, size of lhs = 2:
% 0.61/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #32: input, references = 5, size of lhs = 2:
% 0.61/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_union-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #33: input, references = 10, size of lhs = 2:
% 0.61/0.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_difference-{T}(V0,V1,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of initial rules = 34
% 0.61/0.81
% 0.61/0.81 Simplifiers:
% 0.61/0.81 #34: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #35: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 P_union-{F}(V0,V1,V2), P_union-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #36: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 P_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #37: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #38: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #39: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #40: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #41: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp5-{F}(V0,V1,V2), pppp5-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #42: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #43: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #44: unsound, references = 3, size of lhs = 3:
% 0.61/0.81 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of simplifiers = 11
% 0.61/0.81
% 0.61/0.81 Learnt:
% 0.61/0.81 #46: disj( #20, input ), references = 4, size of lhs = 3:
% 0.61/0.81 #-{F} V0, #-{F} V1, V0 == V1 | pppp9-{T}(V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #48: exists( #32, #14 ), references = 2, size of lhs = 1:
% 0.61/0.81 P_union-{F}(V0,V1,V2) | P_union-{T}(V1,V0,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #50: exists( #32, #0 ), references = 4, size of lhs = 3:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4) | P_union-{T}(V3,V4,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #56: disj( #23, #9+#22 ), references = 3, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1), pppp4-{F}(V1,V0,V2), pppp4-{F}(V3,V0,V2) | member-{T}(V2,V3)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #57: disj( #23, #9+#2+#5 ), references = 3, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0), pppp4-{F}(V3,V0,V4) | member-{T}(V4,V3)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #62: disj( #6, #3+#5 ), references = 1, size of lhs = 2:
% 0.61/0.81 member-{F}(V0,V1), P_difference-{F}(V1,V2,V2) | member-{T}(V0,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #63: disj( #6, #3+#22 ), references = 2, size of lhs = 4:
% 0.61/0.81 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V2,V3,V0), P_difference-{F}(V1,V4,V3) | member-{T}(V0,V4)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #66: exists( #31, #15 ), references = 2, size of lhs = 1:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #68: exists( #33, #28 ), references = 1, size of lhs = 3:
% 0.61/0.81 pppp5-{F}(V0,V0,V1), P_symmetric_difference-{F}(V0,V0,V2), subset-{F}(V2,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #88: mergings( V4 == V2; #86 ), references = 1, size of lhs = 2:
% 0.61/0.81 pppp5-{F}(V0,V0,V1), P_symmetric_difference-{F}(V0,V0,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #92: mergings( V2 == V3; #89 ), references = 1, size of lhs = 2:
% 0.61/0.81 pppp6-{F}(V0,V0), P_symmetric_difference-{F}(V0,V0,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #95: exists( #31, #89 ), references = 1, size of lhs = 1:
% 0.61/0.81 pppp6-{F}(V0,V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #98: disj( #10, #9+#22 ), references = 1, size of lhs = 3:
% 0.61/0.81 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V2,V3,V0) | pppp8-{T}(V1,V3)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #108: disj( #10, #9+#2+#4+#5 ), references = 1, size of lhs = 2:
% 0.61/0.81 member-{F}(V0,V1), P_difference-{F}(V2,V2,V3) | pppp8-{T}(V1,V3)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #109: disj( #10, #9+#2+#4+#22 ), references = 1, size of lhs = 4:
% 0.61/0.81 member-{F}(V0,V1), member-{F}(V0,V2), pppp4-{F}(V2,V3,V0), P_difference-{F}(V3,V4,V5) | pppp8-{T}(V1,V5)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #118: exists( #21, #114 ), references = 2, size of lhs = 4:
% 0.61/0.81 P_difference-{F}(V0,V0,V1), pppp9-{F}(V1,V2), pppp1-{F}(V2,V3), P_difference-{F}(V4,V3,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #119: exists( #21, #115 ), references = 2, size of lhs = 4:
% 0.61/0.81 pppp9-{F}(V0,V1), pppp1-{F}(V1,V2), P_difference-{F}(V3,V2,V1), P_difference-{F}(V1,V4,V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #122: exists( #33, #120 ), references = 2, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0), #-{F} V3 | P_difference-{T}(V0,V3,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #124: exists( #31, #0 ), references = 1, size of lhs = 3:
% 0.61/0.81 P_difference-{F}(V0,V1,V2), P_difference-{F}(V1,V0,V3), P_union-{F}(V2,V3,V4) | P_symmetric_difference-{T}(V0,V1,V4)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #139: mergings( V5 == V8, V8 == V9, V3 == V6, V4 == V7, V6 == V10, V7 == V11; #132 ), references = 1, size of lhs = 5:
% 0.61/0.81 pppp6-{F}(V0,V1), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3), P_difference-{F}(V1,V0,V4), P_union-{F}(V3,V4,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #147: mergings( V4 == V6, V6 == V7, V3 == V8, V8 == V5; #142 ), references = 1, size of lhs = 4:
% 0.61/0.81 pppp6-{F}(V0,V1), P_symmetric_difference-{F}(V1,V0,V2), P_symmetric_difference-{F}(V0,V1,V2), P_difference-{F}(V0,V1,V3) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #152: mergings( V3 == V4, V4 == V5; #149 ), references = 3, size of lhs = 2:
% 0.61/0.81 pppp6-{F}(V0,V1), P_difference-{F}(V0,V1,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #155: exists( #26, #153 ), references = 1, size of lhs = 3:
% 0.61/0.81 pppp7-{F}(V0), pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #158: exists( #33, #156 ), references = 1, size of lhs = 3:
% 0.61/0.81 pppp1-{F}(V0,V1), P_difference-{F}(V2,V1,V0), #-{F} V3 | P_difference-{T}(V3,V3,V0)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #163: disj( #10, exists( #21, #114 ) ), references = 1, size of lhs = 3:
% 0.61/0.81 P_difference-{F}(V0,V0,V1), pppp9-{F}(V1,V2), P_difference-{F}(V3,V4,V2) | pppp8-{T}(V2,V4)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #171: exists( #21, #168 ), references = 1, size of lhs = 3:
% 0.61/0.81 P_difference-{F}(V0,V0,V1), pppp9-{F}(V1,V2), pppp1-{F}(V2,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #178: exists( #33, #176 ), references = 1, size of lhs = 1:
% 0.61/0.81 P_symmetric_difference-{F}(V0,V0,V1) | P_difference-{T}(V0,V0,V1)
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #188: exists( #21, #186 ), references = 1, size of lhs = 4:
% 0.61/0.81 pppp9-{F}(V0,V1), pppp1-{F}(V1,V0), P_difference-{F}(V0,V2,V1), P_difference-{F}(V3,V0,V2) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #204: exists( #33, #152 ), references = 1, size of lhs = 1:
% 0.61/0.81 pppp6-{F}(V0,V1) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #206: exists( #26, #202 ), references = 1, size of lhs = 1:
% 0.61/0.81 pppp7-{F}(V0) | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 #208: exists( #25, #205 ), references = 1, size of lhs = 0:
% 0.61/0.81 FALSE | FALSE
% 0.61/0.81 (used 0 times, uses = {})
% 0.61/0.81
% 0.61/0.81 number of learnt formulas = 31
% 0.61/0.81
% 0.61/0.81
% 0.61/0.81 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.81
% 0.61/0.81 randbase = 1
%------------------------------------------------------------------------------