TSTP Solution File: COM008+2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 05:59:16 EDT 2022
% Result : Theorem 0.72s 0.91s
% Output : Refutation 0.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM008+2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 16:54:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.72/0.91 GeoParameters:
% 0.72/0.91
% 0.72/0.91 tptp_input = 1
% 0.72/0.91 tptp_output = 0
% 0.72/0.91 nonempty = 1
% 0.72/0.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91
% 0.72/0.91 RuleSystem INPUT:
% 0.72/0.91
% 0.72/0.91 Initial Rules:
% 0.72/0.91 #0: input, references = 10, size of lhs = 4:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), transitive_reflexive_rewrite-{F}(V0,V2), transitive_reflexive_rewrite-{F}(V1,V2) | goal-{T}()
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #1: input, references = 5, size of lhs = 3:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2) | transitive_reflexive_rewrite-{T}(V2,V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #2: input, references = 5, size of lhs = 3:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2) | transitive_reflexive_rewrite-{T}(V2,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #3: input, references = 6, size of lhs = 4:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), #-{F} V4 | transitive_reflexive_rewrite-{T}(V4,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #4: input, references = 3, size of lhs = 4:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V3,V4) | transitive_reflexive_rewrite-{T}(V3,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #5: input, references = 7, size of lhs = 5:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), transitive_reflexive_rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V5,V3) | transitive_reflexive_rewrite-{T}(V5,V4)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #6: input, references = 8, size of lhs = 5:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V6,V3), rewrite-{F}(V6,V4) | EXISTS V5: pppp0-{T}(V3,V4,V5)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #7: input, references = 8, size of lhs = 1:
% 0.72/0.91 pppp0-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V1,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #8: input, references = 8, size of lhs = 1:
% 0.72/0.91 pppp0-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V0,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #9: input, references = 6, size of lhs = 6:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V3,V5) | EXISTS V6: pppp1-{T}(V5,V4,V6)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #10: input, references = 6, size of lhs = 1:
% 0.72/0.91 pppp1-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V1,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #11: input, references = 6, size of lhs = 1:
% 0.72/0.91 pppp1-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V0,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #12: input, references = 6, size of lhs = 5:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), transitive_reflexive_rewrite-{F}(V3,V4), V3 == V4 | EXISTS V5: pppp2-{T}(V3,V4,V5)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #13: input, references = 6, size of lhs = 1:
% 0.72/0.91 pppp2-{F}(V0,V1,V2) | transitive_reflexive_rewrite-{T}(V2,V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #14: input, references = 6, size of lhs = 1:
% 0.72/0.91 pppp2-{F}(V0,V1,V2) | rewrite-{T}(V0,V2)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #15: input, references = 10, size of lhs = 4:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), goal-{F}() | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #16: input, references = 4, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #17: input, references = 4, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_c-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #18: input, references = 5, size of lhs = 0:
% 0.72/0.91 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of initial rules = 19
% 0.72/0.91
% 0.72/0.91 Simplifiers:
% 0.72/0.91 #19: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #20: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #21: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #22: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 pppp0-{F}(V0,V1,V2), pppp0-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #23: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #24: unsound, references = 3, size of lhs = 3:
% 0.72/0.91 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of simplifiers = 6
% 0.72/0.91
% 0.72/0.91 Learnt:
% 0.72/0.91 #34: mergings( V1 == V3, V3 == V4, V2 == V4, V4 == V5; #29 ), references = 1, size of lhs = 2:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V0) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #56: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8, V2 == V9; #50 ), references = 1, size of lhs = 5:
% 0.72/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), P_c-{F}(V2), P_a-{F}(V3) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #99: mergings( V0 == V5, V5 == V7, V1 == V4, V4 == V8, V2 == V9; #93 ), references = 1, size of lhs = 6:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V1), transitive_reflexive_rewrite-{F}(V3,V0) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #136: mergings( V0 == V7, V7 == V4, V4 == V11, V1 == V8, V8 == V10, V10 == V12, V2 == V9, V9 == V13; #127 ), references = 1, size of lhs = 6:
% 0.72/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), P_c-{F}(V3), transitive_reflexive_rewrite-{F}(V3,V2), P_a-{F}(V4) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #177: mergings( V0 == V7, V7 == V10, V10 == V11, V1 == V4, V4 == V8, V8 == V12, V2 == V9, V9 == V13; #168 ), references = 4, size of lhs = 7:
% 0.72/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), P_c-{F}(V2), P_a-{F}(V3), rewrite-{F}(V3,V4), transitive_reflexive_rewrite-{F}(V4,V2), transitive_reflexive_rewrite-{F}(V4,V1) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #185: mergings( V0 == V4, V1 == V7, V2 == V8; #181 ), references = 1, size of lhs = 7:
% 0.72/0.91 P_b-{F}(V0), rewrite-{F}(V1,V0), rewrite-{F}(V1,V2), P_c-{F}(V3), transitive_reflexive_rewrite-{F}(V2,V3), P_a-{F}(V4), rewrite-{F}(V4,V2) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #195: mergings( V0 == V6, V6 == V9, V1 == V7, V7 == V4, V2 == V8, V8 == V3; #188 ), references = 1, size of lhs = 6:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), V2 == V1, transitive_reflexive_rewrite-{F}(V2,V1), rewrite-{F}(V2,V0) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #243: mergings( V0 == V7, V7 == V10, V1 == V8, V8 == V11, V2 == V9, V9 == V12; #236 ), references = 1, size of lhs = 8:
% 0.72/0.91 P_b-{F}(V0), transitive_reflexive_rewrite-{F}(V0,V1), rewrite-{F}(V2,V1), rewrite-{F}(V2,V3), P_c-{F}(V4), transitive_reflexive_rewrite-{F}(V3,V4), P_a-{F}(V5), rewrite-{F}(V5,V3) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #360: mergings( V0 == V5, V5 == V7, V1 == V8, V8 == V10, V2 == V9, V9 == V11; #353 ), references = 1, size of lhs = 9:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), transitive_reflexive_rewrite-{F}(V3,V4), rewrite-{F}(V2,V5), transitive_reflexive_rewrite-{F}(V5,V1), transitive_reflexive_rewrite-{F}(V5,V4) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #373: mergings( V0 == V7, V7 == V10, V10 == V11, V1 == V8, V8 == V12, V12 == V14, V2 == V9, V9 == V13, V13 == V15; #363 ), references = 1, size of lhs = 9:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0), rewrite-{F}(V4,V3), rewrite-{F}(V4,V5), transitive_reflexive_rewrite-{F}(V5,V1), rewrite-{F}(V2,V5) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #389: mergings( V0 == V6, V6 == V9, V9 == V13, V13 == V14, V1 == V7, V7 == V10, V10 == V15, V15 == V4, V2 == V8, V8 == V11, V11 == V16, V16 == V3; #376 ), references = 1, size of lhs = 7:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), V2 == V1, transitive_reflexive_rewrite-{F}(V2,V1), rewrite-{F}(V2,V3), transitive_reflexive_rewrite-{F}(V3,V0) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #407: mergings( V0 == V6, V6 == V9, V9 == V12, V12 == V4, V4 == V14, V1 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V2 == V8, V8 == V11, V11 == V16, V16 == V3; #392 ), references = 1, size of lhs = 7:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V2), V2 == V0, V2 == V1, transitive_reflexive_rewrite-{F}(V2,V0), transitive_reflexive_rewrite-{F}(V2,V1) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #423: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14; #410 ), references = 1, size of lhs = 2:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1) | P_a-{T}(V0), P_a-{T}(V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #446: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V10, V10 == V15, V15 == V18, V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V16, V16 == V17, V17 == V19; #427 ), references = 1, size of lhs = 2:
% 0.72/0.91 P_b-{F}(V0), P_c-{F}(V1) | P_a-{T}(V1)
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #464: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #451 ), references = 1, size of lhs = 1:
% 0.72/0.91 P_b-{F}(V0) | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 #466: exists( #16, #451 ), references = 1, size of lhs = 0:
% 0.72/0.91 FALSE | FALSE
% 0.72/0.91 (used 0 times, uses = {})
% 0.72/0.91
% 0.72/0.91 number of learnt formulas = 16
% 0.72/0.91
% 0.72/0.91
% 0.72/0.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.72/0.91
% 0.72/0.91 randbase = 1
%------------------------------------------------------------------------------