TSTP Solution File: SEU189+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:17:26 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.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 19:34:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.40 GeoParameters:
% 0.20/0.40
% 0.20/0.40 tptp_input = 1
% 0.20/0.40 tptp_output = 0
% 0.20/0.40 nonempty = 1
% 0.20/0.40 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40
% 0.20/0.40 RuleSystem INPUT:
% 0.20/0.40
% 0.20/0.40 Initial Rules:
% 0.20/0.40 #0: input, references = 3, size of lhs = 1:
% 0.20/0.40 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #1: input, references = 3, size of lhs = 1:
% 0.20/0.40 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #2: input, references = 4, size of lhs = 1:
% 0.20/0.40 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #3: input, references = 3, size of lhs = 2:
% 0.20/0.40 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #4: input, references = 3, size of lhs = 1:
% 0.20/0.40 in-{F}(V0,V1) | element-{T}(V0,V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #5: input, references = 4, size of lhs = 0:
% 0.20/0.40 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #6: input, references = 3, size of lhs = 1:
% 0.20/0.40 pppp1-{F}(V0) | relation-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #7: input, references = 4, size of lhs = 1:
% 0.20/0.40 pppp1-{F}(V0) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #8: input, references = 3, size of lhs = 1:
% 0.20/0.40 empty-{F}(V0) | relation-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #9: input, references = 3, size of lhs = 0:
% 0.20/0.40 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #10: input, references = 3, size of lhs = 1:
% 0.20/0.40 pppp2-{F}(V0) | relation-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #11: input, references = 3, size of lhs = 2:
% 0.20/0.40 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #12: input, references = 3, size of lhs = 3:
% 0.20/0.40 P_relation_dom-{F}(V0,V1), relation-{F}(V0), empty-{F}(V1) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #13: input, references = 3, size of lhs = 3:
% 0.20/0.40 P_relation_rng-{F}(V0,V1), relation-{F}(V0), empty-{F}(V1) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #14: input, references = 3, size of lhs = 2:
% 0.20/0.40 P_relation_dom-{F}(V0,V1), empty-{F}(V0) | empty-{T}(V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #15: input, references = 3, size of lhs = 2:
% 0.20/0.40 P_relation_dom-{F}(V0,V1), empty-{F}(V0) | relation-{T}(V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #16: input, references = 3, size of lhs = 2:
% 0.20/0.40 P_relation_rng-{F}(V0,V1), empty-{F}(V0) | empty-{T}(V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #17: input, references = 3, size of lhs = 2:
% 0.20/0.40 P_relation_rng-{F}(V0,V1), empty-{F}(V0) | relation-{T}(V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #18: input, references = 4, size of lhs = 0:
% 0.20/0.40 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #19: input, references = 5, size of lhs = 1:
% 0.20/0.40 pppp3-{F}(V0) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #20: input, references = 3, size of lhs = 0:
% 0.20/0.40 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #21: input, references = 3, size of lhs = 2:
% 0.20/0.40 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #22: input, references = 3, size of lhs = 2:
% 0.20/0.40 empty-{F}(V0), in-{F}(V1,V0) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #23: input, references = 4, size of lhs = 3:
% 0.20/0.40 empty-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #24: input, references = 3, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #25: input, references = 3, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #26: input, references = 3, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #27: input, references = 5, size of lhs = 3:
% 0.20/0.40 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #28: input, references = 4, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V0,V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #29: input, references = 7, size of lhs = 3:
% 0.20/0.40 pppp6-{F}(V0,V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3) | pppp5-{T}(V1,V0,V2,V3)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #30: input, references = 4, size of lhs = 1:
% 0.20/0.40 pppp5-{F}(V0,V1,V1,V1) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #31: input, references = 4, size of lhs = 3:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3), V2 == V1, V3 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #32: input, references = 5, size of lhs = 1:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3) | relation-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #33: input, references = 4, size of lhs = 4:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), V1 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #34: input, references = 4, size of lhs = 4:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), V2 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #35: input, references = 4, size of lhs = 7:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V3,V0), P_relation_rng-{F}(V3,V5), relation-{F}(V3), V3 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #36: input, references = 5, size of lhs = 7:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V3,V0), relation-{F}(V3), V3 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #37: input, references = 6, size of lhs = 1:
% 0.20/0.40 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #38: input, references = 7, size of lhs = 1:
% 0.20/0.40 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #39: input, references = 4, size of lhs = 0:
% 0.20/0.40 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 number of initial rules = 40
% 0.20/0.40
% 0.20/0.40 Simplifiers:
% 0.20/0.40 #40: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 element-{F}(V0,V1), element-{F}(V2,V1), V0 == V2 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #41: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 in-{F}(V0,V1), in-{F}(V2,V1), V0 == V2 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #42: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #43: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #44: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #45: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #46: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #47: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #48: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #49: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #50: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V1,V6,V7), V0 == V4 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #51: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #52: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #53: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #54: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #55: unsound, references = 3, size of lhs = 3:
% 0.20/0.40 pppp6-{F}(V0,V1), pppp6-{F}(V2,V3), V0 == V2 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 number of simplifiers = 16
% 0.20/0.40
% 0.20/0.40 Learnt:
% 0.20/0.40 #57: exists( #39, #27 ), references = 1, size of lhs = 1:
% 0.20/0.40 empty-{F}(V0) | P_empty_set-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #63: exists( #18, #59 ), references = 1, size of lhs = 1:
% 0.20/0.40 empty-{F}(V0) | pppp3-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #64: exists( #18, #60 ), references = 1, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #67: exists( #38, #33 ), references = 1, size of lhs = 3:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V1), V1 == V0 | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #69: mergings( V2 == V0; #66 ), references = 2, size of lhs = 2:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0) | P_relation_rng-{T}(V0,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #71: exists( #37, #65 ), references = 1, size of lhs = 1:
% 0.20/0.40 P_empty_set-{F}(V0) | P_relation_dom-{T}(V0,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #76: mergings( V3 == V2; #74 ), references = 2, size of lhs = 6:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), relation-{F}(V2), V2 == V0, P_relation_dom-{F}(V2,V0) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #79: disj( #2, input ), references = 1, size of lhs = 3:
% 0.20/0.40 empty-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #80: disj( #2, input ), references = 1, size of lhs = 3:
% 0.20/0.40 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #85: exists( #38, #83 ), references = 2, size of lhs = 3:
% 0.20/0.40 pppp6-{F}(V0,V1), P_relation_dom-{F}(V1,V2), V2 == V0 | P_relation_rng-{T}(V1,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #89: mergings( V3 == V2; #87 ), references = 1, size of lhs = 6:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), pppp6-{F}(V0,V1), V1 == V0, relation-{F}(V1), P_relation_rng-{F}(V0,V2) | P_relation_dom-{T}(V1,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #99: mergings( V2 == V5; #96 ), references = 2, size of lhs = 6:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V2,V0), V2 == V0, pppp6-{F}(V3,V2) | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #108: mergings( V2 == V5, V3 == V5; #105 ), references = 1, size of lhs = 5:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1), pppp6-{F}(V0,V2), V2 == V0 | P_relation_dom-{T}(V2,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #113: mergings( V0 == V2, V3 == V4; #110 ), references = 1, size of lhs = 3:
% 0.20/0.40 P_empty_set-{F}(V0), P_relation_dom-{F}(V0,V0), P_relation_rng-{F}(V0,V1) | pppp6-{T}(V0,V0)
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 #121: exists( #5, #119 ), references = 1, size of lhs = 0:
% 0.20/0.40 FALSE | FALSE
% 0.20/0.40 (used 0 times, uses = {})
% 0.20/0.40
% 0.20/0.40 number of learnt formulas = 15
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.40
% 0.20/0.40 randbase = 1
%------------------------------------------------------------------------------