TSTP Solution File: SET959+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:01 EDT 2022
% Result : Theorem 1.07s 1.23s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 02:14:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.07/1.23 GeoParameters:
% 1.07/1.23
% 1.07/1.23 tptp_input = 1
% 1.07/1.23 tptp_output = 0
% 1.07/1.23 nonempty = 1
% 1.07/1.23 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.23 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.07/1.23
% 1.07/1.23
% 1.07/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.23
% 1.07/1.23 RuleSystem INPUT:
% 1.07/1.23
% 1.07/1.23 Initial Rules:
% 1.07/1.23 #0: input, references = 4, size of lhs = 2:
% 1.07/1.23 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #1: input, references = 4, size of lhs = 3:
% 1.07/1.23 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #2: input, references = 5, size of lhs = 5:
% 1.07/1.23 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #3: input, references = 5, size of lhs = 2:
% 1.07/1.23 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #4: input, references = 3, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #5: input, references = 3, size of lhs = 1:
% 1.07/1.23 pppp0-{F}(V0) | empty-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #6: input, references = 3, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: pppp1-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #7: input, references = 3, size of lhs = 2:
% 1.07/1.23 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #8: input, references = 4, size of lhs = 0:
% 1.07/1.23 FALSE | EXISTS V0: pppp7-{T}(V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #9: input, references = 4, size of lhs = 1:
% 1.07/1.23 pppp7-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #10: input, references = 6, size of lhs = 2:
% 1.07/1.23 pppp7-{F}(V0), in-{F}(V1,V0) | EXISTS V2: pppp3-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #11: input, references = 4, size of lhs = 1:
% 1.07/1.23 pppp6-{F}(V1,V1) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #12: input, references = 6, size of lhs = 3:
% 1.07/1.23 pppp6-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V1) | in-{T}(V4,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #13: input, references = 4, size of lhs = 3:
% 1.07/1.23 pppp6-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | in-{T}(V4,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #14: input, references = 5, size of lhs = 2:
% 1.07/1.23 pppp6-{F}(V0,V1), in-{F}(V2,V0) | EXISTS V3: pppp5-{T}(V2,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #15: input, references = 5, size of lhs = 1:
% 1.07/1.23 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #16: input, references = 4, size of lhs = 3:
% 1.07/1.23 pppp4-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #17: input, references = 6, size of lhs = 1:
% 1.07/1.23 pppp3-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #18: input, references = 4, size of lhs = 3:
% 1.07/1.23 pppp2-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), V0 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #19: input, references = 4, size of lhs = 3:
% 1.07/1.23 #-{F} V0, #-{F} V1, V0 == V1 | EXISTS V2: pppp8-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #20: input, references = 6, size of lhs = 3:
% 1.07/1.23 pppp8-{F}(V0,V1,V2), in-{F}(V2,V1), in-{F}(V2,V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #21: input, references = 12, size of lhs = 1:
% 1.07/1.23 pppp8-{F}(V0,V1,V2) | in-{T}(V2,V0), in-{T}(V2,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #22: input, references = 5, size of lhs = 2:
% 1.07/1.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #23: input, references = 6, size of lhs = 2:
% 1.07/1.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #24: input, references = 3, size of lhs = 1:
% 1.07/1.23 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of initial rules = 25
% 1.07/1.23
% 1.07/1.23 Simplifiers:
% 1.07/1.23 #25: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #26: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #27: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #28: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #29: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #30: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #31: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #32: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #33: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #34: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #35: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #36: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #37: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #38: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V1 == V3 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #39: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #40: unsound, references = 3, size of lhs = 3:
% 1.07/1.23 pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of simplifiers = 16
% 1.07/1.23
% 1.07/1.23 Learnt:
% 1.07/1.23 #42: exists( #23, #2 ), references = 1, size of lhs = 3:
% 1.07/1.23 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #45: exists( #22, #1 ), references = 2, size of lhs = 1:
% 1.07/1.23 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #49: exists( #22, #47 ), references = 1, size of lhs = 3:
% 1.07/1.23 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V1,V4,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #52: disj( #21, input ), references = 1, size of lhs = 1:
% 1.07/1.23 pppp8-{F}(V0,V1,V1) | in-{T}(V1,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #60: disj( #21, input ), references = 1, size of lhs = 2:
% 1.07/1.23 in-{F}(V0,V1), pppp8-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #61: disj( #21, input ), references = 1, size of lhs = 3:
% 1.07/1.23 in-{F}(V0,V1), pppp8-{F}(V2,V1,V0), pppp8-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #68: exists( #23, #16 ), references = 2, size of lhs = 1:
% 1.07/1.23 pppp4-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #71: exists( #15, #69 ), references = 1, size of lhs = 2:
% 1.07/1.23 empty-{F}(V0), pppp5-{F}(V0,V1) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #73: exists( #14, #70 ), references = 1, size of lhs = 3:
% 1.07/1.23 empty-{F}(V0), in-{F}(V0,V1), pppp6-{F}(V1,V2) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #80: exists( #23, #18 ), references = 4, size of lhs = 1:
% 1.07/1.23 pppp2-{F}(V0,V1,V2) | P_ordered_pair-{T}(V1,V2,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #83: exists( #17, #81 ), references = 1, size of lhs = 2:
% 1.07/1.23 empty-{F}(V0), pppp3-{F}(V0,V1) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #85: exists( #10, #82 ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), empty-{F}(V1), in-{F}(V1,V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #87: disj( #21, exists( #10, #82 ) ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), empty-{F}(V1), pppp8-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #107: disj( #21, exists( #10, #82 ) ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), empty-{F}(V1), pppp8-{F}(V2,V0,V1) | in-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #118: disj( #21, input ), references = 1, size of lhs = 3:
% 1.07/1.23 in-{F}(V0,V1), pppp8-{F}(V1,V2,V0), pppp8-{F}(V2,V3,V0) | in-{T}(V0,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #151: disj( #21, input ), references = 1, size of lhs = 2:
% 1.07/1.23 in-{F}(V0,V1), pppp8-{F}(V2,V0,V1) | in-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #152: disj( #21, input ), references = 1, size of lhs = 3:
% 1.07/1.23 in-{F}(V0,V1), pppp8-{F}(V1,V2,V0), pppp8-{F}(V3,V2,V0) | in-{T}(V0,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #181: exists( #17, #179 ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp3-{F}(V0,V1), pppp6-{F}(V0,V2), in-{F}(V0,V2) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #183: exists( #10, #180 ), references = 1, size of lhs = 4:
% 1.07/1.23 pppp7-{F}(V0), in-{F}(V1,V0), pppp6-{F}(V1,V2), in-{F}(V1,V2) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #185: disj( #21, exists( #10, #180 ) ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), pppp6-{F}(V1,V0), pppp8-{F}(V0,V2,V1) | in-{T}(V1,V2)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #213: disj( #21, #12+#20 ), references = 1, size of lhs = 4:
% 1.07/1.23 pppp6-{F}(V0,V1), pppp8-{F}(V1,V0,V2), pppp8-{F}(V1,V3,V2), P_ordered_pair-{F}(V4,V5,V2) | in-{T}(V2,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #258: exists( #17, #256 ), references = 1, size of lhs = 5:
% 1.07/1.23 pppp6-{F}(V0,V1), in-{F}(V2,V1), pppp3-{F}(V2,V3), in-{F}(V2,V4), pppp8-{F}(V4,V0,V2) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #260: exists( #10, #257 ), references = 1, size of lhs = 6:
% 1.07/1.23 pppp7-{F}(V0), in-{F}(V1,V0), in-{F}(V1,V2), pppp6-{F}(V3,V2), in-{F}(V1,V4), pppp8-{F}(V4,V3,V1) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #262: disj( #21, exists( #10, #257 ) ), references = 1, size of lhs = 4:
% 1.07/1.23 pppp7-{F}(V0), pppp6-{F}(V1,V0), pppp8-{F}(V0,V1,V2), pppp8-{F}(V0,V3,V2) | in-{T}(V2,V3)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #287: exists( #15, #283 ), references = 1, size of lhs = 5:
% 1.07/1.23 pppp5-{F}(V0,V1), in-{F}(V0,V2), pppp6-{F}(V2,V3), in-{F}(V0,V4), pppp8-{F}(V3,V4,V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #293: mergings( V1 == V5, V0 == V4; #289 ), references = 1, size of lhs = 4:
% 1.07/1.23 in-{F}(V0,V1), pppp6-{F}(V1,V2), in-{F}(V0,V3), pppp8-{F}(V2,V3,V0) | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #300: mergings( V0 == V3; #297 ), references = 1, size of lhs = 3:
% 1.07/1.23 pppp7-{F}(V0), pppp6-{F}(V1,V0), V0 == V1 | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #303: exists( #9, #297 ), references = 1, size of lhs = 1:
% 1.07/1.23 pppp7-{F}(V0) | pppp6-{T}(V0,V0)
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 #306: exists( #8, #304 ), references = 1, size of lhs = 0:
% 1.07/1.23 FALSE | FALSE
% 1.07/1.23 (used 0 times, uses = {})
% 1.07/1.23
% 1.07/1.23 number of learnt formulas = 29
% 1.07/1.23
% 1.07/1.23
% 1.07/1.23 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.23
% 1.07/1.23 randbase = 1
%------------------------------------------------------------------------------