TSTP Solution File: SYN328+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:24:22 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN328+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sat Jul 23 03:39:06 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.18/0.58 GeoParameters:
% 0.18/0.58
% 0.18/0.58 tptp_input = 1
% 0.18/0.58 tptp_output = 0
% 0.18/0.58 nonempty = 1
% 0.18/0.58 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58
% 0.18/0.58 RuleSystem INPUT:
% 0.18/0.58
% 0.18/0.58 Initial Rules:
% 0.18/0.58 #0: input, references = 4, size of lhs = 0:
% 0.18/0.58 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #1: input, references = 12, size of lhs = 1:
% 0.18/0.58 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #2: input, references = 12, size of lhs = 1:
% 0.18/0.58 pppp5-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #3: input, references = 3, size of lhs = 2:
% 0.18/0.58 pppp4-{F}(V0,V1), big_h-{F}(V1) | pppp2-{T}(V0)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #4: input, references = 34, size of lhs = 2:
% 0.18/0.58 pppp4-{F}(V0,V1), pppp2-{F}(V0) | big_h-{T}(V1)
% 0.18/0.58 (used 0 times, uses = {})
% 0.18/0.58
% 0.18/0.58 #5: input, references = 8, size of lhs = 2:
% 0.18/0.59 pppp4-{F}(V0,V1), big_g-{F}(V1) | pppp1-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #6: input, references = 22, size of lhs = 2:
% 0.18/0.59 pppp4-{F}(V0,V1), pppp1-{F}(V0) | big_g-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #7: input, references = 7, size of lhs = 2:
% 0.18/0.59 pppp4-{F}(V0,V1), big_f-{F}(V1) | pppp0-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #8: input, references = 21, size of lhs = 2:
% 0.18/0.59 pppp4-{F}(V0,V1), pppp0-{F}(V0) | big_f-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #9: input, references = 15, size of lhs = 4:
% 0.18/0.59 pppp3-{F}(V0), big_f-{F}(V0), big_g-{F}(V0), big_h-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #10: input, references = 3, size of lhs = 1:
% 0.18/0.59 pppp2-{F}(V0) | big_f-{T}(V0), big_h-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #11: input, references = 4, size of lhs = 2:
% 0.18/0.59 pppp2-{F}(V0), big_g-{F}(V0) | big_h-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #12: input, references = 11, size of lhs = 1:
% 0.18/0.59 big_f-{F}(V0) | pppp2-{T}(V0), big_g-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #13: input, references = 27, size of lhs = 1:
% 0.18/0.59 big_h-{F}(V0) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #14: input, references = 15, size of lhs = 2:
% 0.18/0.59 pppp1-{F}(V0), big_f-{F}(V0) | big_h-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #15: input, references = 11, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | pppp1-{T}(V0), big_f-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #16: input, references = 18, size of lhs = 1:
% 0.18/0.59 big_h-{F}(V0) | pppp1-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #17: input, references = 10, size of lhs = 2:
% 0.18/0.59 pppp0-{F}(V0), big_f-{F}(V0) | big_g-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #18: input, references = 9, size of lhs = 1:
% 0.18/0.59 #-{F} V0 | pppp0-{T}(V0), big_f-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #19: input, references = 16, size of lhs = 1:
% 0.18/0.59 big_g-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of initial rules = 20
% 0.18/0.59
% 0.18/0.59 Simplifiers:
% 0.18/0.59 #20: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #21: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #22: unsound, references = 3, size of lhs = 3:
% 0.18/0.59 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of simplifiers = 3
% 0.18/0.59
% 0.18/0.59 Learnt:
% 0.18/0.59 #47: mergings( V0 == V3, V3 == V4; #44 ), references = 1, size of lhs = 5:
% 0.18/0.59 big_f-{F}(V0), pppp3-{F}(V1), pppp4-{F}(V0,V1), pppp4-{F}(V1,V2), pppp4-{F}(V2,V0) | big_g-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #62: disj( #12, #19+#8+#17+#14+#9 ), references = 2, size of lhs = 5:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp0-{F}(V1), pppp1-{F}(V1), pppp3-{F}(V1) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #135: mergings( V3 == V4; #133 ), references = 1, size of lhs = 7:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V0,V1), pppp4-{F}(V1,V2), pppp4-{F}(V2,V3), pppp3-{F}(V4), big_h-{F}(V4), pppp4-{F}(V3,V4) | pppp0-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #156: mergings( V5 == V10, V3 == V4, V4 == V8, V2 == V7, V1 == V6, V8 == V9; #149 ), references = 1, size of lhs = 7:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V0,V2), pppp4-{F}(V2,V3), pppp3-{F}(V4), big_h-{F}(V4), pppp4-{F}(V3,V4) | big_f-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #178: disj( #12, #5+#6+#19+#8+#17+#9 ), references = 1, size of lhs = 7:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V1,V2), pppp4-{F}(V2,V3), pppp0-{F}(V3), pppp3-{F}(V3), big_h-{F}(V3) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #209: mergings( V3 == V4; #207 ), references = 1, size of lhs = 7:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp4-{F}(V1,V2), pppp4-{F}(V2,V3), pppp3-{F}(V4), big_h-{F}(V4), pppp4-{F}(V3,V4) | big_g-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #240: mergings( V2 == V3, V3 == V4, V4 == V17, V6 == V7, V7 == V9, V5 == V8, V9 == V10, V10 == V12, V8 == V11, V12 == V13, V13 == V15, V11 == V14, V15 == V16; #226 ), references = 1, size of lhs = 6:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V0,V1), pppp4-{F}(V1,V2), pppp3-{F}(V3), big_h-{F}(V3), pppp4-{F}(V2,V3) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #254: mergings( V2 == V3, V3 == V4, V4 == V13, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #243 ), references = 2, size of lhs = 5:
% 0.18/0.59 big_g-{F}(V0), pppp4-{F}(V0,V1), pppp3-{F}(V2), big_h-{F}(V2), pppp4-{F}(V1,V2) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #267: mergings( V1 == V2, V2 == V3, V3 == V12, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #256 ), references = 1, size of lhs = 5:
% 0.18/0.59 pppp0-{F}(V0), pppp4-{F}(V0,V1), pppp3-{F}(V2), big_h-{F}(V2), pppp4-{F}(V1,V2) | pppp1-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #282: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #277 ), references = 5, size of lhs = 5:
% 0.18/0.59 big_f-{F}(V0), pppp2-{F}(V0), pppp3-{F}(V1), big_h-{F}(V1), pppp4-{F}(V0,V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #287: mergings( V1 == V2; #285 ), references = 1, size of lhs = 4:
% 0.18/0.59 pppp0-{F}(V0), pppp1-{F}(V0), pppp3-{F}(V0), pppp4-{F}(V1,V0) | pppp1-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #292: mergings( V1 == V2; #290 ), references = 1, size of lhs = 4:
% 0.18/0.59 pppp0-{F}(V0), pppp1-{F}(V0), pppp3-{F}(V0), pppp4-{F}(V1,V0) | pppp0-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #300: exists( #1, #298 ), references = 2, size of lhs = 3:
% 0.18/0.59 pppp0-{F}(V0), pppp1-{F}(V0), pppp3-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #302: disj( #15, exists( #1, #298 ) ), references = 2, size of lhs = 2:
% 0.18/0.59 pppp0-{F}(V0), pppp3-{F}(V0) | big_f-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #329: disj( #12, #5+#300 ), references = 1, size of lhs = 4:
% 0.18/0.59 big_f-{F}(V0), pppp0-{F}(V1), pppp4-{F}(V1,V0), pppp3-{F}(V1) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #376: disj( #12, #19+#8+#14+#13+#4+#282 ), references = 2, size of lhs = 5:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp1-{F}(V1), pppp3-{F}(V2), pppp4-{F}(V1,V2) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #384: mergings( V2 == V4, V1 == V3; #381 ), references = 1, size of lhs = 6:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V0,V2), pppp3-{F}(V2), big_f-{F}(V2), big_g-{F}(V2) | pppp1-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #392: mergings( V2 == V4, V1 == V3; #389 ), references = 1, size of lhs = 6:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V0,V2), pppp3-{F}(V2), big_f-{F}(V2), big_g-{F}(V2) | pppp0-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #409: mergings( V2 == V3, V3 == V4; #405 ), references = 1, size of lhs = 5:
% 0.18/0.59 big_f-{F}(V0), big_g-{F}(V0), pppp3-{F}(V0), pppp1-{F}(V1), pppp4-{F}(V1,V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #416: exists( #1, #412 ), references = 6, size of lhs = 3:
% 0.18/0.59 big_f-{F}(V0), big_g-{F}(V0), pppp3-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #425: disj( #15, #7+#301+#17+#414 ), references = 1, size of lhs = 2:
% 0.18/0.59 pppp3-{F}(V0), pppp4-{F}(V0,V1) | pppp1-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #430: disj( #18, #7+#302+#17+#416 ), references = 1, size of lhs = 2:
% 0.18/0.59 pppp3-{F}(V0), pppp4-{F}(V0,V1) | pppp0-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #436: disj( #12, exists( #1, #412 ) ), references = 1, size of lhs = 2:
% 0.18/0.59 big_f-{F}(V0), pppp3-{F}(V0) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #449: disj( #15, #6+#416 ), references = 1, size of lhs = 3:
% 0.18/0.59 big_f-{F}(V0), pppp3-{F}(V0), pppp4-{F}(V1,V0) | big_f-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #533: disj( #18, #8+#14+#13+#4+#16+#6+#416 ), references = 1, size of lhs = 6:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V0,V2), pppp4-{F}(V2,V3), big_f-{F}(V3), pppp3-{F}(V3) | big_f-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #534: disj( #18, #8+#14+#13+#4+#13+#4+#282 ), references = 1, size of lhs = 6:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V1,V0), pppp4-{F}(V0,V2), big_f-{F}(V2), pppp3-{F}(V3), pppp4-{F}(V2,V3) | big_f-{T}(V1)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #627: disj( #12, #19+#8+#14+#13+#4+#16+#6+#416 ), references = 1, size of lhs = 7:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp1-{F}(V1), pppp4-{F}(V1,V2), pppp4-{F}(V2,V3), big_f-{F}(V3), pppp3-{F}(V3) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #628: disj( #12, #19+#8+#14+#13+#4+#13+#16+#4+#6+#9 ), references = 1, size of lhs = 7:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp1-{F}(V1), pppp4-{F}(V1,V2), pppp3-{F}(V3), big_f-{F}(V3), pppp4-{F}(V2,V3) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #630: mergings( V2 == V4; #626 ), references = 1, size of lhs = 7:
% 0.18/0.59 big_f-{F}(V0), pppp4-{F}(V0,V1), pppp1-{F}(V1), pppp0-{F}(V1), pppp3-{F}(V2), pppp4-{F}(V1,V3), pppp4-{F}(V3,V2) | pppp2-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #664: mergings( V2 == V5, V5 == V7, V3 == V4, V4 == V6; #657 ), references = 1, size of lhs = 5:
% 0.18/0.59 pppp1-{F}(V0), pppp4-{F}(V0,V1), pppp4-{F}(V1,V2), big_f-{F}(V2), pppp3-{F}(V2) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #676: mergings( V2 == V3, V3 == V4; #671 ), references = 1, size of lhs = 4:
% 0.18/0.59 big_g-{F}(V0), pppp4-{F}(V0,V1), big_f-{F}(V1), pppp3-{F}(V1) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #692: exists( #1, #686 ), references = 2, size of lhs = 2:
% 0.18/0.59 big_f-{F}(V0), pppp3-{F}(V0) | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #696: disj( #15, exists( #1, #686 ) ), references = 1, size of lhs = 1:
% 0.18/0.59 pppp3-{F}(V0) | pppp1-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #698: disj( #18, exists( #1, #298 ) ), references = 1, size of lhs = 2:
% 0.18/0.59 pppp1-{F}(V0), pppp3-{F}(V0) | big_f-{T}(V0)
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 #702: exists( #0, #700 ), references = 1, size of lhs = 0:
% 0.18/0.59 FALSE | FALSE
% 0.18/0.59 (used 0 times, uses = {})
% 0.18/0.59
% 0.18/0.59 number of learnt formulas = 35
% 0.18/0.59
% 0.18/0.59
% 0.18/0.59 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.59
% 0.18/0.59 randbase = 1
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