TSTP Solution File: SET927+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 06:16:58 EDT 2022
% Result : Theorem 2.13s 2.31s
% Output : Refutation 2.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET927+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 02:53:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.13/2.31 GeoParameters:
% 2.13/2.31
% 2.13/2.31 tptp_input = 1
% 2.13/2.31 tptp_output = 0
% 2.13/2.31 nonempty = 1
% 2.13/2.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.13/2.31
% 2.13/2.31
% 2.13/2.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.31
% 2.13/2.31 RuleSystem INPUT:
% 2.13/2.31
% 2.13/2.31 Initial Rules:
% 2.13/2.31 #0: input, references = 4, size of lhs = 3:
% 2.13/2.31 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #1: input, references = 3, size of lhs = 2:
% 2.13/2.31 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #2: input, references = 3, size of lhs = 0:
% 2.13/2.31 FALSE | EXISTS V0: pppp2-{T}(V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #3: input, references = 3, size of lhs = 1:
% 2.13/2.31 pppp2-{F}(V0) | empty-{T}(V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #4: input, references = 3, size of lhs = 0:
% 2.13/2.31 FALSE | EXISTS V0: pppp3-{T}(V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #5: input, references = 3, size of lhs = 2:
% 2.13/2.31 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #6: input, references = 4, size of lhs = 0:
% 2.13/2.31 FALSE | EXISTS V0: pppp6-{T}(V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #7: input, references = 4, size of lhs = 1:
% 2.13/2.31 pppp6-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #8: input, references = 6, size of lhs = 1:
% 2.13/2.31 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #9: input, references = 6, size of lhs = 5:
% 2.13/2.31 pppp4-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V5), P_singleton-{F}(V0,V5), pppp0-{F}(V0,V1,V2) | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #10: input, references = 11, size of lhs = 5:
% 2.13/2.31 pppp4-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V4), P_singleton-{F}(V0,V5), V4 == V5 | pppp0-{T}(V0,V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #11: input, references = 9, size of lhs = 2:
% 2.13/2.31 pppp0-{F}(V0,V1,V2), in-{F}(V0,V2) | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #12: input, references = 9, size of lhs = 2:
% 2.13/2.31 pppp0-{F}(V0,V1,V2), V0 == V1 | in-{T}(V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #13: input, references = 4, size of lhs = 2:
% 2.13/2.31 #-{F} V0, in-{F}(V1,V2) | pppp0-{T}(V0,V1,V2), in-{T}(V0,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #14: input, references = 14, size of lhs = 2:
% 2.13/2.31 #-{F} V1, #-{F} V2 | pppp0-{T}(V1,V1,V2), in-{T}(V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #15: input, references = 7, size of lhs = 3:
% 2.13/2.31 P_unordered_pair-{F}(V0,V1,V3), P_set_difference-{F}(V3,V2,V5), P_singleton-{F}(V0,V5) | pppp1-{T}(V0,V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #16: input, references = 7, size of lhs = 5:
% 2.13/2.31 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
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #17: input, references = 8, size of lhs = 2:
% 2.13/2.31 pppp1-{F}(V0,V1,V2), in-{F}(V0,V2) | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #18: input, references = 4, size of lhs = 2:
% 2.13/2.31 pppp1-{F}(V0,V1,V2), V0 == V1 | in-{T}(V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #19: input, references = 4, size of lhs = 2:
% 2.13/2.31 #-{F} V0, in-{F}(V1,V2) | pppp1-{T}(V0,V1,V2), in-{T}(V0,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #20: input, references = 7, size of lhs = 2:
% 2.13/2.31 #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V1,V2), in-{T}(V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #21: input, references = 10, size of lhs = 2:
% 2.13/2.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #22: input, references = 7, size of lhs = 2:
% 2.13/2.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #23: input, references = 4, size of lhs = 1:
% 2.13/2.31 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 number of initial rules = 24
% 2.13/2.31
% 2.13/2.31 Simplifiers:
% 2.13/2.31 #24: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #25: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #26: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #27: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #28: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #29: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #30: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #31: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V1 == V4 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #32: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp4-{F}(V0,V1,V2), pppp4-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #33: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #34: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp5-{F}(V0,V1), pppp5-{F}(V2,V3), V0 == V2 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #35: unsound, references = 3, size of lhs = 3:
% 2.13/2.31 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 number of simplifiers = 12
% 2.13/2.31
% 2.13/2.31 Learnt:
% 2.13/2.31 #38: disj( #20, input ), references = 1, size of lhs = 1:
% 2.13/2.31 #-{F} V0 | pppp1-{T}(V0,V0,V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #39: disj( #20, input ), references = 2, size of lhs = 1:
% 2.13/2.31 pppp0-{F}(V0,V1,V2) | pppp1-{T}(V0,V0,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #42: disj( #14, input ), references = 1, size of lhs = 1:
% 2.13/2.31 #-{F} V0 | pppp0-{T}(V0,V0,V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #43: disj( #14, input ), references = 1, size of lhs = 1:
% 2.13/2.31 pppp1-{F}(V0,V1,V2) | pppp0-{T}(V0,V0,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #45: disj( #14, input ), references = 1, size of lhs = 1:
% 2.13/2.31 in-{F}(V0,V1) | pppp0-{T}(V1,V1,V0)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #47: exists( #21, #0 ), references = 2, size of lhs = 1:
% 2.13/2.31 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #49: exists( #22, #16 ), references = 10, size of lhs = 3:
% 2.13/2.31 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), pppp1-{F}(V0,V2,V4) | P_set_difference-{T}(V3,V4,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #99: disj( #13, input ), references = 1, size of lhs = 1:
% 2.13/2.31 in-{F}(V0,V1) | pppp0-{T}(V1,V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #100: disj( #13, input ), references = 6, size of lhs = 2:
% 2.13/2.31 in-{F}(V0,V1), pppp0-{F}(V2,V3,V1) | pppp0-{T}(V2,V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #101: disj( #13, input ), references = 1, size of lhs = 2:
% 2.13/2.31 in-{F}(V0,V1), pppp1-{F}(V2,V3,V1) | pppp0-{T}(V2,V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #144: disj( #19, input ), references = 2, size of lhs = 1:
% 2.13/2.31 in-{F}(V0,V1) | pppp1-{T}(V1,V0,V1)
% 2.13/2.31 (used 0 times, uses = {})
% 2.13/2.31
% 2.13/2.31 #145: disj( #19, input ), references = 8, size of lhs = 2:
% 2.13/2.32 in-{F}(V0,V1), pppp0-{F}(V2,V3,V1) | pppp1-{T}(V2,V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #146: disj( #19, input ), references = 1, size of lhs = 2:
% 2.13/2.32 in-{F}(V0,V1), pppp1-{F}(V2,V3,V1) | pppp1-{T}(V2,V0,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #165: disj( #20, input ), references = 2, size of lhs = 4:
% 2.13/2.32 P_unordered_pair-{F}(V0,V0,V1), P_singleton-{F}(V0,V2), P_set_difference-{F}(V1,V3,V4), V4 == V2 | in-{T}(V0,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #179: disj( #14, #175+#49+#9 ), references = 1, size of lhs = 3:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V2), pppp4-{F}(V0,V0,V3) | in-{T}(V0,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #208: exists( #21, #206 ), references = 5, size of lhs = 4:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3), pppp1-{F}(V0,V2,V3) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #218: mergings( V10 == V12; #216 ), references = 1, size of lhs = 13:
% 2.13/2.32 in-{F}(V0,V1), in-{F}(V2,V1), in-{F}(V3,V1), P_singleton-{F}(V3,V4), pppp4-{F}(V3,V5,V1), P_unordered_pair-{F}(V3,V5,V6), P_unordered_pair-{F}(V7,V8,V6), P_unordered_pair-{F}(V8,V8,V9), P_unordered_pair-{F}(V7,V2,V9), P_singleton-{F}(V8,V10), P_singleton-{F}(V7,V11), V11 == V10, V11 == V4 | in-{T}(V7,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #246: exists( #22, #244 ), references = 2, size of lhs = 4:
% 2.13/2.32 P_singleton-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V0,V3,V2), P_unordered_pair-{F}(V0,V3,V4) | P_set_difference-{T}(V4,V2,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #257: mergings( V3 == V4, V2 == V5; #253 ), references = 2, size of lhs = 4:
% 2.13/2.32 pppp5-{F}(V0,V0), P_unordered_pair-{F}(V0,V0,V1), P_singleton-{F}(V0,V2), P_unordered_pair-{F}(V0,V3,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #297: disj( #14, #246+#15+#17 ), references = 3, size of lhs = 4:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4), P_unordered_pair-{F}(V0,V5,V4) | pppp0-{T}(V0,V0,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #335: disj( #14, #319+#49+#10+#12+#11 ), references = 1, size of lhs = 8:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V2), P_singleton-{F}(V3,V4), V1 == V4, P_unordered_pair-{F}(V3,V5,V2), V3 == V5, pppp4-{F}(V3,V5,V6), pppp0-{F}(V5,V7,V6) | in-{T}(V0,V6)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #336: disj( #14, #319+#49+#10+#12+#17 ), references = 1, size of lhs = 8:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V2), P_singleton-{F}(V3,V4), V1 == V4, P_unordered_pair-{F}(V3,V5,V2), V3 == V5, pppp4-{F}(V3,V5,V6), pppp1-{F}(V5,V7,V6) | in-{T}(V0,V6)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #337: disj( #14, #319+#49+#10+#12+#208 ), references = 1, size of lhs = 10:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V2), P_singleton-{F}(V3,V4), V1 == V4, P_unordered_pair-{F}(V3,V5,V2), V3 == V5, pppp4-{F}(V3,V5,V6), P_singleton-{F}(V5,V7), P_singleton-{F}(V8,V7), pppp1-{F}(V8,V5,V6) | in-{T}(V0,V6)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #342: disj( #14, #332+#100+#145+#16 ), references = 1, size of lhs = 11:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V0,V2), P_singleton-{F}(V3,V4), V1 == V4, P_unordered_pair-{F}(V3,V5,V2), V3 == V5, pppp4-{F}(V3,V5,V6), P_unordered_pair-{F}(V5,V0,V7), P_set_difference-{F}(V7,V6,V8), P_singleton-{F}(V5,V9), V8 == V9 | in-{T}(V5,V6)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #356: mergings( V7 == V11, V11 == V14, V3 == V4, V4 == V6, V6 == V12; #350 ), references = 1, size of lhs = 12:
% 2.13/2.32 pppp5-{F}(V0,V1), V0 == V1, P_unordered_pair-{F}(V0,V0,V2), P_unordered_pair-{F}(V1,V3,V2), P_singleton-{F}(V3,V4), P_unordered_pair-{F}(V3,V3,V5), P_unordered_pair-{F}(V0,V1,V5), P_unordered_pair-{F}(V0,V6,V5), P_singleton-{F}(V0,V7), V4 == V7, P_singleton-{F}(V1,V8), V7 == V8 | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #388: disj( #14, #100+#145+#16 ), references = 1, size of lhs = 5:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp0-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V4,V5), P_set_difference-{F}(V5,V3,V6), V6 == V1 | pppp0-{T}(V4,V4,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #399: disj( #14, #144+#208 ), references = 1, size of lhs = 2:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1) | pppp0-{T}(V0,V0,V2)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #428: disj( #14, #145+#208 ), references = 1, size of lhs = 3:
% 2.13/2.32 P_singleton-{F}(V0,V1), P_singleton-{F}(V2,V1), in-{F}(V2,V3) | in-{T}(V0,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #451: exists( #22, #445 ), references = 1, size of lhs = 5:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), V0 == V2, P_unordered_pair-{F}(V0,V2,V4), pppp0-{F}(V2,V5,V3) | P_set_difference-{T}(V4,V3,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #452: exists( #22, #446 ), references = 1, size of lhs = 5:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), V0 == V2, P_unordered_pair-{F}(V0,V2,V4), pppp1-{F}(V2,V5,V3) | P_set_difference-{T}(V4,V3,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #453: exists( #22, #447 ), references = 1, size of lhs = 7:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), V0 == V2, P_unordered_pair-{F}(V0,V2,V4), P_singleton-{F}(V2,V5), P_singleton-{F}(V6,V5), pppp1-{F}(V6,V2,V3) | P_set_difference-{T}(V4,V3,V1)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #466: exists( #21, #460 ), references = 1, size of lhs = 5:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), V0 == V2, pppp0-{F}(V2,V4,V3), pppp0-{F}(V2,V5,V3) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #472: disj( #14, exists( #21, #460 ) ), references = 2, size of lhs = 3:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp4-{F}(V0,V2,V3), V0 == V2 | in-{T}(V2,V3)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #494: exists( #21, #492 ), references = 2, size of lhs = 4:
% 2.13/2.32 P_singleton-{F}(V0,V1), pppp1-{F}(V0,V2,V3), pppp4-{F}(V0,V2,V3), pppp0-{F}(V0,V2,V3) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #513: exists( #21, #511 ), references = 1, size of lhs = 3:
% 2.13/2.32 P_singleton-{F}(V0,V1), in-{F}(V0,V2), pppp4-{F}(V0,V3,V2) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #535: mergings( V3 == V4, V1 == V6; #532 ), references = 1, size of lhs = 3:
% 2.13/2.32 P_singleton-{F}(V0,V1), in-{F}(V2,V3), pppp4-{F}(V0,V2,V3) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #540: mergings( V3 == V4, V4 == V5; #537 ), references = 1, size of lhs = 3:
% 2.13/2.32 pppp5-{F}(V0,V1), V0 == V1, P_singleton-{F}(V0,V2) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #544: mergings( V2 == V3, V3 == V4; #541 ), references = 1, size of lhs = 2:
% 2.13/2.32 pppp6-{F}(V0), P_singleton-{F}(V0,V1) | pppp5-{T}(V0,V0)
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #546: exists( #21, #257 ), references = 1, size of lhs = 2:
% 2.13/2.32 pppp5-{F}(V0,V0), P_singleton-{F}(V0,V1) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #549: exists( #23, #547 ), references = 1, size of lhs = 1:
% 2.13/2.32 pppp6-{F}(V0) | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 #551: exists( #6, #548 ), references = 1, size of lhs = 0:
% 2.13/2.32 FALSE | FALSE
% 2.13/2.32 (used 0 times, uses = {})
% 2.13/2.32
% 2.13/2.32 number of learnt formulas = 41
% 2.13/2.32
% 2.13/2.32
% 2.13/2.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.32
% 2.13/2.32 randbase = 1
%------------------------------------------------------------------------------