TSTP Solution File: SEU219+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:17:31 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.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 19:06:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.38 GeoParameters:
% 0.20/0.38
% 0.20/0.38 tptp_input = 1
% 0.20/0.38 tptp_output = 0
% 0.20/0.38 nonempty = 1
% 0.20/0.38 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38
% 0.20/0.38 RuleSystem INPUT:
% 0.20/0.38
% 0.20/0.38 Initial Rules:
% 0.20/0.38 #0: input, references = 5, size of lhs = 6:
% 0.20/0.38 P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0), V1 == V2 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #1: input, references = 3, size of lhs = 3:
% 0.20/0.38 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | relation-{T}(V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #2: input, references = 3, size of lhs = 3:
% 0.20/0.38 P_function_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0) | function-{T}(V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #3: input, references = 3, size of lhs = 2:
% 0.20/0.38 P_relation_inverse-{F}(V0,V1), relation-{F}(V0) | relation-{T}(V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #4: input, references = 3, size of lhs = 4:
% 0.20/0.38 P_relation_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0) | relation-{T}(V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #5: input, references = 3, size of lhs = 4:
% 0.20/0.38 P_relation_inverse-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0) | function-{T}(V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #6: input, references = 3, size of lhs = 4:
% 0.20/0.38 P_relation_inverse-{F}(V0,V1), P_relation_inverse-{F}(V1,V2), relation-{F}(V0), V2 == V0 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #7: input, references = 3, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: pppp0-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #8: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp0-{F}(V0) | function-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #9: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp0-{F}(V0) | relation-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #10: input, references = 3, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #11: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp1-{F}(V0) | one_to_one-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #12: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp1-{F}(V0) | function-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #13: input, references = 3, size of lhs = 1:
% 0.20/0.38 pppp1-{F}(V0) | relation-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #14: input, references = 6, size of lhs = 7:
% 0.20/0.38 P_relation_rng-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5), relation-{F}(V0), V1 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #15: input, references = 4, size of lhs = 7:
% 0.20/0.38 P_relation_rng-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5), relation-{F}(V0), V4 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #16: input, references = 4, size of lhs = 0:
% 0.20/0.38 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #17: input, references = 5, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V3), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V2,V5) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #18: input, references = 5, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | one_to_one-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #19: input, references = 5, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | function-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #20: input, references = 8, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_dom-{F}(V2,V3), P_relation_dom-{F}(V0,V4), P_relation_rng-{F}(V2,V5) | relation-{T}(V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #21: input, references = 4, size of lhs = 1:
% 0.20/0.38 #-{F} V0 | EXISTS V1: P_function_inverse-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #22: input, references = 5, size of lhs = 1:
% 0.20/0.38 #-{F} V0 | EXISTS V1: P_relation_inverse-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #23: input, references = 9, size of lhs = 1:
% 0.20/0.38 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #24: input, references = 10, size of lhs = 1:
% 0.20/0.38 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of initial rules = 25
% 0.20/0.38
% 0.20/0.38 Simplifiers:
% 0.20/0.38 #25: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_function_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #26: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_relation_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #27: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #28: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #29: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #30: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #31: unsound, references = 3, size of lhs = 3:
% 0.20/0.38 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of simplifiers = 7
% 0.20/0.38
% 0.20/0.38 Learnt:
% 0.20/0.38 #39: mergings( V2 == V3, V3 == V4, V4 == V5; #34 ), references = 1, size of lhs = 4:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V0), P_relation_inverse-{F}(V0,V0), P_relation_rng-{F}(V0,V1) | P_relation_dom-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #42: exists( #23, #40 ), references = 1, size of lhs = 3:
% 0.20/0.38 pppp2-{F}(V0), P_relation_inverse-{F}(V0,V0), P_function_inverse-{F}(V0,V0) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #53: mergings( V0 == V8, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #46 ), references = 1, size of lhs = 5:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V0), P_relation_rng-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), V0 == V2 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #56: mergings( V0 == V2; #54 ), references = 1, size of lhs = 4:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V0), P_relation_inverse-{F}(V0,V1), V0 == V1 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #59: mergings( V0 == V2; #57 ), references = 1, size of lhs = 2:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V0) | P_relation_inverse-{T}(V0,V0)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #64: mergings( V2 == V3; #61 ), references = 1, size of lhs = 3:
% 0.20/0.38 relation-{F}(V0), P_relation_inverse-{F}(V0,V0), P_relation_rng-{F}(V0,V1) | P_relation_dom-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #75: mergings( V3 == V6, V4 == V9; #70 ), references = 1, size of lhs = 9:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V1,V2), P_relation_rng-{F}(V0,V3), P_relation_inverse-{F}(V0,V4), P_relation_dom-{F}(V4,V5), V3 == V5, P_relation_dom-{F}(V0,V6), P_relation_rng-{F}(V4,V7) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #78: mergings( V3 == V6, V4 == V9; #71 ), references = 1, size of lhs = 9:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V1,V2), P_relation_rng-{F}(V0,V3), P_relation_inverse-{F}(V0,V4), P_relation_dom-{F}(V4,V5), P_relation_dom-{F}(V0,V6), P_relation_rng-{F}(V4,V7), V6 == V7 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #86: mergings( V0 == V12, V3 == V6, V6 == V9, V5 == V8, V8 == V11, V4 == V7, V7 == V10; #72 ), references = 1, size of lhs = 7:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_rng-{F}(V3,V4), P_relation_inverse-{F}(V0,V5), V3 == V5 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #92: mergings( V3 == V5, V4 == V8; #87 ), references = 2, size of lhs = 8:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), V2 == V4, P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V3,V6) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #95: mergings( V3 == V5, V4 == V8; #88 ), references = 2, size of lhs = 8:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_inverse-{F}(V0,V3), P_relation_dom-{F}(V3,V4), P_relation_dom-{F}(V0,V5), P_relation_rng-{F}(V3,V6), V5 == V6 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #101: mergings( V0 == V9, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #89 ), references = 1, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_function_inverse-{F}(V0,V3), P_relation_inverse-{F}(V0,V4), V3 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #108: mergings( V5 == V6, V2 == V3, V3 == V4; #104 ), references = 1, size of lhs = 5:
% 0.20/0.38 pppp2-{F}(V0), P_relation_rng-{F}(V0,V1), P_function_inverse-{F}(V0,V2), P_relation_inverse-{F}(V0,V3), V2 == V3 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #117: mergings( V2 == V3; #115 ), references = 1, size of lhs = 4:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V2), V1 == V2 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #120: mergings( V2 == V3; #118 ), references = 1, size of lhs = 2:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1) | P_relation_inverse-{T}(V0,V1)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #125: mergings( V3 == V0; #121 ), references = 1, size of lhs = 7:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V0,V3), P_relation_rng-{F}(V1,V4), V3 == V4 | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #129: mergings( V3 == V0, V5 == V6; #122 ), references = 2, size of lhs = 6:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V0,V3), P_relation_rng-{F}(V1,V3) | P_relation_dom-{T}(V1,V2)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #133: mergings( V3 == V0; #130 ), references = 1, size of lhs = 5:
% 0.20/0.38 pppp2-{F}(V0), P_function_inverse-{F}(V0,V1), P_relation_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V0,V3) | P_relation_rng-{T}(V1,V3)
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #139: mergings( V2 == V4, V3 == V5; #136 ), references = 1, size of lhs = 4:
% 0.20/0.38 pppp2-{F}(V0), P_relation_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #142: mergings( V2 == V3; #140 ), references = 1, size of lhs = 3:
% 0.20/0.38 pppp2-{F}(V0), P_relation_inverse-{F}(V0,V1), P_function_inverse-{F}(V0,V1) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #145: exists( #21, #143 ), references = 1, size of lhs = 1:
% 0.20/0.38 pppp2-{F}(V0) | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 #147: exists( #16, #144 ), references = 1, size of lhs = 0:
% 0.20/0.38 FALSE | FALSE
% 0.20/0.38 (used 0 times, uses = {})
% 0.20/0.38
% 0.20/0.38 number of learnt formulas = 22
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38
% 0.20/0.38 randbase = 1
%------------------------------------------------------------------------------