TSTP Solution File: SET882+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 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 06:16:54 EDT 2022
% Result : Theorem 1.16s 1.33s
% Output : Refutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET882+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % 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 : Sat Jul 23 02:57:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.16/1.33 GeoParameters:
% 1.16/1.33
% 1.16/1.33 tptp_input = 1
% 1.16/1.33 tptp_output = 0
% 1.16/1.33 nonempty = 1
% 1.16/1.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.16/1.33
% 1.16/1.33
% 1.16/1.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.33
% 1.16/1.33 RuleSystem INPUT:
% 1.16/1.33
% 1.16/1.33 Initial Rules:
% 1.16/1.33 #0: input, references = 4, size of lhs = 2:
% 1.16/1.33 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #1: input, references = 4, size of lhs = 3:
% 1.16/1.33 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #2: input, references = 4, size of lhs = 1:
% 1.16/1.33 P_singleton-{F}(V0,V2) | pppp0-{T}(V0,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #3: input, references = 3, size of lhs = 3:
% 1.16/1.33 P_singleton-{F}(V0,V2), pppp0-{F}(V0,V1), V1 == V2 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #4: input, references = 4, size of lhs = 3:
% 1.16/1.33 pppp0-{F}(V0,V1), in-{F}(V2,V1), V2 == V0 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #5: input, references = 5, size of lhs = 1:
% 1.16/1.33 pppp0-{F}(V0,V1) | in-{T}(V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #6: input, references = 5, size of lhs = 2:
% 1.16/1.33 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp7-{T}(V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #7: input, references = 4, size of lhs = 1:
% 1.16/1.33 pppp7-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #8: input, references = 3, size of lhs = 2:
% 1.16/1.33 pppp2-{F}(V0,V1,V0), in-{F}(V0,V1) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #9: input, references = 4, size of lhs = 2:
% 1.16/1.33 pppp2-{F}(V0,V1,V2), V2 == V0 | in-{T}(V2,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #10: input, references = 3, size of lhs = 3:
% 1.16/1.33 P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V5), P_singleton-{F}(V0,V5) | pppp1-{T}(V0,V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #11: input, references = 4, size of lhs = 5:
% 1.16/1.33 P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V4), P_singleton-{F}(V0,V5), pppp1-{F}(V0,V1,V2), V4 == V5 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #12: input, references = 3, size of lhs = 2:
% 1.16/1.33 pppp1-{F}(V0,V1,V2), in-{F}(V0,V2) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #13: input, references = 3, size of lhs = 2:
% 1.16/1.33 pppp1-{F}(V0,V1,V2), V0 == V1 | in-{T}(V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #14: input, references = 4, size of lhs = 2:
% 1.16/1.33 #-{F} V0, in-{F}(V1,V2) | pppp1-{T}(V0,V1,V2), in-{T}(V0,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #15: input, references = 6, size of lhs = 2:
% 1.16/1.33 #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V1,V2), in-{T}(V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #16: input, references = 3, size of lhs = 0:
% 1.16/1.33 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #17: input, references = 3, size of lhs = 1:
% 1.16/1.33 pppp3-{F}(V0) | empty-{T}(V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #18: input, references = 3, size of lhs = 0:
% 1.16/1.33 FALSE | EXISTS V0: pppp4-{T}(V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #19: input, references = 3, size of lhs = 2:
% 1.16/1.33 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #20: input, references = 4, size of lhs = 0:
% 1.16/1.33 FALSE | EXISTS V0: pppp6-{T}(V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #21: input, references = 4, size of lhs = 1:
% 1.16/1.33 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #22: input, references = 4, size of lhs = 5:
% 1.16/1.33 pppp5-{F}(V0,V1), P_unordered_pair-{F}(V0,V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V2,V3,V5), P_singleton-{F}(V0,V5) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #23: input, references = 4, size of lhs = 5:
% 1.16/1.33 pppp5-{F}(V1,V1), P_unordered_pair-{F}(V1,V1,V2), P_singleton-{F}(V1,V3), P_set_difference-{F}(V2,V3,V4), P_singleton-{F}(V1,V5) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #24: input, references = 6, size of lhs = 2:
% 1.16/1.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #25: input, references = 5, size of lhs = 1:
% 1.16/1.33 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #26: input, references = 5, size of lhs = 2:
% 1.16/1.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 number of initial rules = 27
% 1.16/1.33
% 1.16/1.33 Simplifiers:
% 1.16/1.33 #27: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #28: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #29: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #30: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #31: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #32: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #33: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #34: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #35: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #36: unsound, references = 3, size of lhs = 3:
% 1.16/1.33 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 number of simplifiers = 10
% 1.16/1.33
% 1.16/1.33 Learnt:
% 1.16/1.33 #39: disj( #6, #5+#0 ), references = 1, size of lhs = 1:
% 1.16/1.33 #-{F} V0 | pppp7-{T}(V0,V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #42: disj( #15, input ), references = 1, size of lhs = 1:
% 1.16/1.33 #-{F} V0 | pppp1-{T}(V0,V0,V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #43: disj( #15, input ), references = 1, size of lhs = 1:
% 1.16/1.33 pppp2-{F}(V0,V1,V0) | pppp1-{T}(V0,V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #49: disj( #6, input ), references = 1, size of lhs = 3:
% 1.16/1.33 P_singleton-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp7-{T}(V0,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #50: disj( #6, input ), references = 1, size of lhs = 3:
% 1.16/1.33 in-{F}(V0,V1), #-{F} V2, V0 == V2 | pppp7-{T}(V2,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #54: disj( #15, input ), references = 1, size of lhs = 1:
% 1.16/1.33 in-{F}(V0,V1) | pppp1-{T}(V1,V1,V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #62: exists( #26, #11 ), references = 2, size of lhs = 3:
% 1.16/1.33 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), pppp1-{F}(V0,V2,V4) | P_set_difference-{T}(V3,V4,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #66: exists( #24, #1 ), references = 1, size of lhs = 1:
% 1.16/1.33 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #69: disj( #14, input ), references = 1, size of lhs = 1:
% 1.16/1.33 in-{F}(V0,V1) | pppp1-{T}(V1,V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #70: disj( #14, input ), references = 2, size of lhs = 2:
% 1.16/1.33 in-{F}(V0,V1), pppp1-{F}(V2,V3,V1) | pppp1-{T}(V2,V0,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #84: mergings( V1 == V4; #82 ), references = 2, size of lhs = 3:
% 1.16/1.33 pppp5-{F}(V0,V0), P_unordered_pair-{F}(V0,V0,V1), P_singleton-{F}(V0,V2) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #100: exists( #7, #98 ), references = 1, size of lhs = 2:
% 1.16/1.33 pppp7-{F}(V0,V1), pppp0-{F}(V2,V1) | pppp2-{T}(V0,V1,V0), pppp2-{T}(V0,V1,V2)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #168: disj( #15, input ), references = 2, size of lhs = 3:
% 1.16/1.33 pppp0-{F}(V0,V1), #-{F} V2, V2 == V0 | pppp1-{T}(V2,V2,V1)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #325: exists( #24, #322 ), references = 1, size of lhs = 4:
% 1.16/1.33 P_singleton-{F}(V0,V1), pppp5-{F}(V0,V2), pppp1-{F}(V0,V2,V3), P_singleton-{F}(V2,V3) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #331: exists( #25, #329 ), references = 1, size of lhs = 3:
% 1.16/1.33 pppp5-{F}(V0,V1), V0 == V1, P_singleton-{F}(V0,V2) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #333: exists( #21, #330 ), references = 1, size of lhs = 2:
% 1.16/1.33 pppp6-{F}(V0), P_singleton-{F}(V0,V1) | pppp5-{T}(V0,V0)
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #335: exists( #24, #84 ), references = 1, size of lhs = 2:
% 1.16/1.33 pppp5-{F}(V0,V0), P_singleton-{F}(V0,V1) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #338: exists( #25, #336 ), references = 1, size of lhs = 1:
% 1.16/1.33 pppp6-{F}(V0) | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 #340: exists( #20, #337 ), references = 1, size of lhs = 0:
% 1.16/1.33 FALSE | FALSE
% 1.16/1.33 (used 0 times, uses = {})
% 1.16/1.33
% 1.16/1.33 number of learnt formulas = 19
% 1.16/1.33
% 1.16/1.33
% 1.16/1.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.16/1.33
% 1.16/1.33 randbase = 1
%------------------------------------------------------------------------------