TSTP Solution File: SEU200+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:17:28 EDT 2022
% Result : Theorem 5.93s 6.14s
% Output : Refutation 5.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.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 : Fri Jul 22 19:36:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.93/6.14 GeoParameters:
% 5.93/6.14
% 5.93/6.14 tptp_input = 1
% 5.93/6.14 tptp_output = 0
% 5.93/6.14 nonempty = 1
% 5.93/6.14 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.14 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.93/6.14
% 5.93/6.14
% 5.93/6.14 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.14 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.14
% 5.93/6.14 RuleSystem INPUT:
% 5.93/6.14
% 5.93/6.14 Initial Rules:
% 5.93/6.14 #0: input, references = 3, size of lhs = 2:
% 5.93/6.14 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #1: input, references = 3, size of lhs = 1:
% 5.93/6.14 empty-{F}(V0) | relation-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #2: input, references = 4, size of lhs = 2:
% 5.93/6.14 relation-{F}(V0), P_relation_rng_restriction-{F}(V1,V0,V2) | relation-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #3: input, references = 6, size of lhs = 1:
% 5.93/6.14 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #4: input, references = 6, size of lhs = 1:
% 5.93/6.14 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #5: input, references = 3, size of lhs = 2:
% 5.93/6.14 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #6: input, references = 3, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #7: input, references = 3, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #8: input, references = 3, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | relation-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #9: input, references = 3, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #10: input, references = 3, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #11: input, references = 5, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #12: input, references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #13: input, references = 5, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #14: input, references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #15: input, references = 4, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #16: input, references = 3, size of lhs = 1:
% 5.93/6.14 pppp1-{F}(V0) | relation-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #17: input, references = 5, size of lhs = 1:
% 5.93/6.14 pppp1-{F}(V0) | empty-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #18: input, references = 4, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp9-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #19: input, references = 3, size of lhs = 1:
% 5.93/6.14 pppp9-{F}(V0) | EXISTS V1: pppp2-{T}(V1,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #20: input, references = 3, size of lhs = 2:
% 5.93/6.14 pppp2-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #21: input, references = 3, size of lhs = 1:
% 5.93/6.14 pppp2-{F}(V0,V1) | element-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #22: input, references = 4, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #23: input, references = 5, size of lhs = 1:
% 5.93/6.14 pppp3-{F}(V0) | empty-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #24: input, references = 3, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #25: input, references = 3, size of lhs = 1:
% 5.93/6.14 pppp4-{F}(V0) | relation-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #26: input, references = 3, size of lhs = 2:
% 5.93/6.14 pppp4-{F}(V0), empty-{F}(V0) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #27: input, references = 4, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #28: input, references = 5, size of lhs = 1:
% 5.93/6.14 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #29: input, references = 3, size of lhs = 1:
% 5.93/6.14 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #30: input, references = 3, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #31: input, references = 3, size of lhs = 2:
% 5.93/6.14 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #32: input, references = 3, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #33: input, references = 5, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | subset-{T}(V3,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #34: input, references = 4, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #35: input, references = 4, size of lhs = 2:
% 5.93/6.14 pppp8-{F}(V0), P_relation_rng-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #36: input, references = 4, size of lhs = 2:
% 5.93/6.14 pppp8-{F}(V0), P_relation_rng-{F}(V0,V1) | relation-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #37: input, references = 4, size of lhs = 4:
% 5.93/6.14 pppp7-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V2,V0,V3), P_relation_rng-{F}(V3,V4), subset-{F}(V4,V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #38: input, references = 3, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #39: input, references = 3, size of lhs = 8:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation-{F}(V1), P_relation_dom-{F}(V4,V5), P_relation_rng-{F}(V4,V6), relation-{F}(V4), subset-{F}(V1,V4) | subset-{T}(V2,V5)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #40: input, references = 4, size of lhs = 8:
% 5.93/6.14 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), relation-{F}(V1), P_relation_dom-{F}(V4,V5), P_relation_rng-{F}(V4,V6), relation-{F}(V4), subset-{F}(V1,V4) | subset-{T}(V3,V6)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #41: input, references = 4, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #42: input, references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #43: input, references = 4, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #44: input, references = 4, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #45: input, references = 4, size of lhs = 5:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #46: input, references = 8, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #47: input, references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #48: input, references = 8, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #49: input, references = 5, size of lhs = 2:
% 5.93/6.14 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_rng_restriction-{T}(V0,V1,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #50: input, references = 3, size of lhs = 1:
% 5.93/6.14 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #51: input, references = 4, size of lhs = 0:
% 5.93/6.14 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #52: input, references = 6, size of lhs = 1:
% 5.93/6.14 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #53: input, references = 7, size of lhs = 1:
% 5.93/6.14 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 number of initial rules = 54
% 5.93/6.14
% 5.93/6.14 Simplifiers:
% 5.93/6.14 #54: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 P_relation_rng_restriction-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #55: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #56: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #57: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #58: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #59: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #60: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #61: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp2-{F}(V0,V1), pppp2-{F}(V2,V1), V0 == V2 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #62: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #63: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #64: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #65: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #66: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #67: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp7-{F}(V0,V1,V2), pppp7-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #68: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #69: unsound, references = 3, size of lhs = 3:
% 5.93/6.14 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 number of simplifiers = 16
% 5.93/6.14
% 5.93/6.14 Learnt:
% 5.93/6.14 #82: mergings( V2 == V3; #79 ), references = 1, size of lhs = 2:
% 5.93/6.14 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #84: mergings( V2 == V3; #80 ), references = 1, size of lhs = 3:
% 5.93/6.14 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #91: mergings( V0 == V2; #88 ), references = 1, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #93: mergings( V0 == V2; #89 ), references = 1, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1) | pppp1-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #99: mergings( V0 == V2; #96 ), references = 1, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #101: mergings( V0 == V2; #97 ), references = 1, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #118: mergings( V0 == V3; #114 ), references = 1, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp9-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #121: mergings( V0 == V3, V1 == V3; #115 ), references = 1, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp9-{T}(V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #123: mergings( V1 == V0; #116 ), references = 1, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), pppp6-{F}(V0), P_powerset-{F}(V0,V1) | pppp9-{T}(V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #134: mergings( V0 == V3; #130 ), references = 3, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #137: mergings( V0 == V3, V2 == V3; #131 ), references = 1, size of lhs = 4:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #139: mergings( V2 == V0; #132 ), references = 1, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #146: mergings( V2 == V3; #143 ), references = 1, size of lhs = 2:
% 5.93/6.14 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #148: mergings( V2 == V3; #144 ), references = 1, size of lhs = 3:
% 5.93/6.14 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #204: mergings( V0 == V4; #201 ), references = 1, size of lhs = 2:
% 5.93/6.14 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #206: mergings( V0 == V4; #202 ), references = 1, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp5-{T}(V1,V3)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #226: mergings( V2 == V3; #224 ), references = 3, size of lhs = 5:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #233: mergings( V3 == V4, V4 == V5, V5 == V6; #229 ), references = 1, size of lhs = 6:
% 5.93/6.14 relation-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V0,V3), #-{F} V4 | P_relation_rng_restriction-{T}(V4,V0,V1)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #237: exists( #3, #235 ), references = 1, size of lhs = 3:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp0-{T}(V2,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #313: mergings( V2 == V3, V3 == V4; #310 ), references = 1, size of lhs = 6:
% 5.93/6.14 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp0-{T}(V4,V0)
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #639: exists( #53, #637 ), references = 1, size of lhs = 9:
% 5.93/6.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), subset-{F}(V1,V3), P_relation_dom-{F}(V3,V4), P_relation_rng-{F}(V3,V5), pppp7-{F}(V6,V5,V7), P_relation_rng_restriction-{F}(V7,V6,V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #641: exists( #52, #638 ), references = 1, size of lhs = 8:
% 5.93/6.14 P_empty_set-{F}(V0), relation-{F}(V1), relation-{F}(V2), subset-{F}(V1,V2), P_relation_dom-{F}(V2,V3), P_relation_rng-{F}(V2,V4), pppp7-{F}(V5,V4,V6), P_relation_rng_restriction-{F}(V6,V5,V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #646: mergings( V3 == V4; #644 ), references = 1, size of lhs = 5:
% 5.93/6.14 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), pppp7-{F}(V1,V3,V4) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #649: mergings( V3 == V4; #647 ), references = 1, size of lhs = 5:
% 5.93/6.14 pppp8-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #652: mergings( V2 == V3; #650 ), references = 1, size of lhs = 4:
% 5.93/6.14 pppp8-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #655: mergings( V2 == V3; #653 ), references = 2, size of lhs = 3:
% 5.93/6.14 pppp8-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #662: exists( #53, #656 ), references = 1, size of lhs = 2:
% 5.93/6.14 pppp8-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #665: mergings( V0 == V2; #663 ), references = 1, size of lhs = 1:
% 5.93/6.14 P_empty_set-{F}(V0) | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 #667: exists( #51, #663 ), references = 1, size of lhs = 0:
% 5.93/6.14 FALSE | FALSE
% 5.93/6.14 (used 0 times, uses = {})
% 5.93/6.14
% 5.93/6.14 number of learnt formulas = 29
% 5.93/6.14
% 5.93/6.14
% 5.93/6.14 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.93/6.14
% 5.93/6.14 randbase = 1
%------------------------------------------------------------------------------