TSTP Solution File: SYN084+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 06:23:41 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 03:14:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42 GeoParameters:
% 0.19/0.42
% 0.19/0.42 tptp_input = 1
% 0.19/0.42 tptp_output = 0
% 0.19/0.42 nonempty = 1
% 0.19/0.42 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 RuleSystem INPUT:
% 0.19/0.42
% 0.19/0.42 Initial Rules:
% 0.19/0.42 #0: input, references = 4, size of lhs = 0:
% 0.19/0.42 FALSE | pppp0-{T}(), pppp1-{T}()
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #1: input, references = 3, size of lhs = 2:
% 0.19/0.42 pppp1-{F}(), pppp0-{F}() | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #2: input, references = 5, size of lhs = 5:
% 0.19/0.42 P_a-{F}(V0), pppp1-{F}(), P_f-{F}(V1,V2), P_f-{F}(V2,V3), big_p-{F}(V0) | big_p-{T}(V1), big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #3: input, references = 5, size of lhs = 6:
% 0.19/0.42 P_a-{F}(V0), pppp1-{F}(), P_f-{F}(V1,V2), P_f-{F}(V2,V3), big_p-{F}(V0), big_p-{F}(V2) | big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #4: input, references = 4, size of lhs = 1:
% 0.19/0.42 P_a-{F}(V0) | pppp1-{T}(), pppp5-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #5: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp5-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #6: input, references = 6, size of lhs = 4:
% 0.19/0.42 pppp3-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V2,V3), big_p-{F}(V3) | pppp2-{T}(V0,V1,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #7: input, references = 8, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V2,V3) | pppp2-{T}(V0,V1,V3), big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #8: input, references = 4, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V2,V3) | pppp2-{T}(V0,V1,V3), big_p-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #9: input, references = 10, size of lhs = 2:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), big_p-{F}(V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #10: input, references = 7, size of lhs = 2:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), big_p-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #11: input, references = 11, size of lhs = 1:
% 0.19/0.42 pppp2-{F}(V0,V1,V2) | big_p-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #12: input, references = 4, size of lhs = 5:
% 0.19/0.42 P_a-{F}(V0), pppp0-{F}(), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3) | big_p-{T}(V1), big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #13: input, references = 7, size of lhs = 6:
% 0.19/0.42 P_a-{F}(V0), pppp0-{F}(), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), big_p-{F}(V2) | big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #14: input, references = 4, size of lhs = 1:
% 0.19/0.42 P_a-{F}(V0) | pppp0-{T}(), big_p-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #15: input, references = 4, size of lhs = 1:
% 0.19/0.42 P_a-{F}(V0) | pppp0-{T}(), pppp6-{T}()
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #16: input, references = 4, size of lhs = 1:
% 0.19/0.42 pppp6-{F}() | EXISTS V0: pppp4-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #17: input, references = 4, size of lhs = 4:
% 0.19/0.42 pppp4-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V1,V2), big_p-{F}(V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #18: input, references = 4, size of lhs = 4:
% 0.19/0.42 pppp4-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V1,V2), big_p-{F}(V0) | big_p-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #19: input, references = 5, size of lhs = 0:
% 0.19/0.42 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #20: input, references = 11, size of lhs = 1:
% 0.19/0.42 #-{F} V0 | EXISTS V1: P_f-{T}(V0,V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of initial rules = 21
% 0.19/0.42
% 0.19/0.42 Simplifiers:
% 0.19/0.42 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 P_f-{F}(V0,V1), P_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V5), V0 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), pppp3-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.42 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of simplifiers = 8
% 0.19/0.42
% 0.19/0.42 Learnt:
% 0.19/0.42 #30: disj( #15, input ), references = 1, size of lhs = 2:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0) | pppp6-{T}()
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #32: disj( #14, input ), references = 1, size of lhs = 2:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0) | big_p-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #35: exists( #20, #33 ), references = 2, size of lhs = 7:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), big_p-{F}(V1), P_f-{F}(V2,V1), pppp4-{F}(V3), P_f-{F}(V3,V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #39: mergings( V2 == V4; #37 ), references = 1, size of lhs = 6:
% 0.19/0.42 pppp1-{F}(), big_p-{F}(V0), pppp4-{F}(V0), P_f-{F}(V1,V0), P_a-{F}(V2), big_p-{F}(V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #43: disj( #2, input ), references = 1, size of lhs = 8:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp4-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V4,V5) | big_p-{T}(V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #45: mergings( V0 == V5; #41 ), references = 1, size of lhs = 7:
% 0.19/0.42 pppp1-{F}(), pppp4-{F}(V0), P_f-{F}(V0,V1), P_f-{F}(V1,V2), P_f-{F}(V3,V0), P_a-{F}(V4), big_p-{F}(V4) | big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #47: mergings( V0 == V4; #42 ), references = 1, size of lhs = 8:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp4-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V5,V2) | big_p-{T}(V4)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #54: disj( #2, input ), references = 1, size of lhs = 8:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp4-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V4,V3), P_f-{F}(V5,V4) | big_p-{T}(V5)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #61: mergings( V2 == V5, V3 == V4, V4 == V7; #57 ), references = 1, size of lhs = 6:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp4-{F}(V1), P_f-{F}(V1,V2), P_f-{F}(V3,V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #64: mergings( V2 == V3; #62 ), references = 1, size of lhs = 4:
% 0.19/0.42 pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0), pppp4-{F}(V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #67: mergings( V1 == V2; #65 ), references = 1, size of lhs = 4:
% 0.19/0.42 pppp6-{F}(), pppp1-{F}(), P_a-{F}(V0), big_p-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #71: exists( #19, #69 ), references = 1, size of lhs = 1:
% 0.19/0.42 pppp1-{F}() | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #73: disj( #0, exists( #19, #69 ) ), references = 1, size of lhs = 0:
% 0.19/0.42 FALSE | pppp0-{T}()
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #76: disj( #4, exists( #19, #69 ) ), references = 1, size of lhs = 1:
% 0.19/0.42 P_a-{F}(V0) | pppp5-{T}(V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #81: disj( #7, #11+#9 ), references = 1, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V1), P_f-{F}(V0,V2), P_f-{F}(V2,V1) | big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #82: disj( #7, #11+#10 ), references = 2, size of lhs = 3:
% 0.19/0.42 pppp3-{F}(V0,V0), P_f-{F}(V0,V1), P_f-{F}(V1,V2) | big_p-{T}(V1)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #97: mergings( V1 == V9, V0 == V8, V2 == V7, V3 == V6; #91 ), references = 2, size of lhs = 8:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), big_p-{F}(V1), P_f-{F}(V2,V1), P_f-{F}(V1,V3), pppp3-{F}(V4,V0), P_f-{F}(V4,V5), P_f-{F}(V5,V3) | pppp2-{T}(V4,V0,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #102: mergings( V1 == V7, V0 == V7, V2 == V8, V3 == V6; #92 ), references = 1, size of lhs = 8:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V0,V0), big_p-{F}(V1), P_f-{F}(V2,V1), P_f-{F}(V1,V3), P_f-{F}(V0,V4), P_f-{F}(V4,V3) | pppp2-{T}(V0,V0,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #110: mergings( V2 == V3, V3 == V6, V6 == V5; #106 ), references = 1, size of lhs = 5:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V0,V0), P_f-{F}(V0,V1), P_f-{F}(V2,V1) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #113: mergings( V0 == V2; #111 ), references = 1, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V0,V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #122: mergings( V1 == V6, V0 == V5, V2 == V4, V3 == V4; #116 ), references = 1, size of lhs = 3:
% 0.19/0.42 P_f-{F}(V0,V0), P_f-{F}(V1,V0), pppp3-{F}(V1,V2) | pppp2-{T}(V1,V2,V0)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #129: disj( #12, input ), references = 3, size of lhs = 6:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), pppp2-{F}(V4,V5,V1) | big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #130: disj( #12, input ), references = 2, size of lhs = 6:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), big_p-{F}(V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), pppp2-{F}(V1,V4,V5) | big_p-{T}(V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #140: disj( #7, #11+#13+#9 ), references = 1, size of lhs = 7:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V0,V3), P_f-{F}(V4,V0) | big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #153: disj( #7, #11+#129+#9 ), references = 1, size of lhs = 7:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V4,V3) | big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #154: disj( #7, #11+#129+#10 ), references = 1, size of lhs = 7:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V3,V4), P_f-{F}(V4,V1) | big_p-{T}(V2)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #171: mergings( V5 == V3, V6 == V1, V7 == V0, V8 == V2; #166 ), references = 1, size of lhs = 7:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0), P_f-{F}(V1,V2), P_f-{F}(V2,V3), P_f-{F}(V4,V2), P_f-{F}(V5,V2) | pppp2-{T}(V1,V0,V3)
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #178: mergings( V2 == V4, V3 == V5; #175 ), references = 1, size of lhs = 6:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0), P_f-{F}(V1,V2), P_f-{F}(V3,V2), P_f-{F}(V4,V2) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #181: mergings( V2 == V3; #179 ), references = 1, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(), P_a-{F}(V0), pppp3-{F}(V1,V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #183: exists( #5, #179 ), references = 1, size of lhs = 3:
% 0.19/0.42 pppp0-{F}(), pppp5-{F}(V0), P_a-{F}(V0) | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #186: exists( #19, #184 ), references = 1, size of lhs = 1:
% 0.19/0.42 pppp0-{F}() | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 #188: #72+#185, references = 1, size of lhs = 0:
% 0.19/0.42 FALSE | FALSE
% 0.19/0.42 (used 0 times, uses = {})
% 0.19/0.42
% 0.19/0.42 number of learnt formulas = 32
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42
% 0.19/0.42 randbase = 1
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