TSTP Solution File: SEU198+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 06:17:27 EDT 2022
% Result : Theorem 3.13s 3.32s
% Output : Refutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 19:11:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.13/3.32 GeoParameters:
% 3.13/3.32
% 3.13/3.32 tptp_input = 1
% 3.13/3.32 tptp_output = 0
% 3.13/3.32 nonempty = 1
% 3.13/3.32 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.32 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.13/3.32
% 3.13/3.32
% 3.13/3.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.32 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.32
% 3.13/3.32 RuleSystem INPUT:
% 3.13/3.32
% 3.13/3.32 Initial Rules:
% 3.13/3.32 #0: input, references = 7, size of lhs = 2:
% 3.13/3.32 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #1: input, references = 3, size of lhs = 1:
% 3.13/3.32 empty-{F}(V0) | relation-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #2: input, references = 4, size of lhs = 1:
% 3.13/3.32 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #3: input, references = 4, size of lhs = 1:
% 3.13/3.32 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #4: input, references = 11, size of lhs = 2:
% 3.13/3.32 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #5: input, references = 8, size of lhs = 2:
% 3.13/3.32 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp12-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #6: input, references = 7, size of lhs = 1:
% 3.13/3.32 pppp12-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #7: input, references = 7, size of lhs = 2:
% 3.13/3.32 pppp2-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #8: input, references = 8, size of lhs = 1:
% 3.13/3.32 pppp2-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #9: input, references = 5, size of lhs = 2:
% 3.13/3.32 relation-{F}(V0), P_relation_rng_restriction-{F}(V1,V0,V2) | relation-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #10: input, references = 4, size of lhs = 1:
% 3.13/3.32 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #11: input, references = 5, size of lhs = 1:
% 3.13/3.32 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #12: input, references = 3, size of lhs = 2:
% 3.13/3.32 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #13: input, references = 3, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #14: input, references = 3, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #15: input, references = 3, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | relation-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #16: input, references = 5, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #17: input, references = 5, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #18: input, references = 3, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #19: input, references = 4, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #20: input, references = 3, size of lhs = 1:
% 3.13/3.32 pppp4-{F}(V0) | relation-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #21: input, references = 5, size of lhs = 1:
% 3.13/3.32 pppp4-{F}(V0) | empty-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #22: input, references = 4, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #23: input, references = 3, size of lhs = 1:
% 3.13/3.32 pppp13-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #24: input, references = 3, size of lhs = 2:
% 3.13/3.32 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #25: input, references = 3, size of lhs = 1:
% 3.13/3.32 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #26: input, references = 4, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #27: input, references = 5, size of lhs = 1:
% 3.13/3.32 pppp6-{F}(V0) | empty-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #28: input, references = 3, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #29: input, references = 3, size of lhs = 1:
% 3.13/3.32 pppp7-{F}(V0) | relation-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #30: input, references = 3, size of lhs = 2:
% 3.13/3.32 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #31: input, references = 4, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #32: input, references = 5, size of lhs = 1:
% 3.13/3.32 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #33: input, references = 3, size of lhs = 1:
% 3.13/3.32 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #34: input, references = 3, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #35: input, references = 3, size of lhs = 2:
% 3.13/3.32 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #36: input, references = 3, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #37: input, references = 13, size of lhs = 5:
% 3.13/3.32 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V4), P_relation_rng-{F}(V4,V5), in-{F}(V3,V5) | pppp1-{T}(V3,V2,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #38: input, references = 12, size of lhs = 5:
% 3.13/3.32 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V4), P_relation_rng-{F}(V4,V5), pppp1-{F}(V3,V2,V1) | in-{T}(V3,V5)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #39: input, references = 8, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V3,V4), pppp1-{F}(V1,V2,V3) | in-{T}(V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #40: input, references = 6, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V3,V4), pppp1-{F}(V1,V2,V3) | in-{T}(V1,V4)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #41: input, references = 6, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), P_relation_rng-{F}(V3,V4), in-{F}(V1,V2), in-{F}(V1,V4) | pppp1-{T}(V1,V2,V3)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #42: input, references = 4, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #43: input, references = 4, size of lhs = 1:
% 3.13/3.32 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #44: input, references = 4, size of lhs = 1:
% 3.13/3.32 pppp11-{F}(V0) | relation-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #45: input, references = 4, size of lhs = 4:
% 3.13/3.32 pppp10-{F}(V0,V1), P_relation_rng_restriction-{F}(V1,V0,V2), P_relation_rng-{F}(V2,V3), subset-{F}(V3,V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #46: input, references = 4, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #47: input, references = 4, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #48: input, references = 4, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #49: input, references = 3, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #50: input, references = 3, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #51: input, references = 5, size of lhs = 5:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #52: input, references = 8, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #53: input, references = 5, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #54: input, references = 8, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #55: input, references = 5, size of lhs = 2:
% 3.13/3.32 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_rng_restriction-{T}(V0,V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #56: input, references = 3, size of lhs = 1:
% 3.13/3.32 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #57: input, references = 4, size of lhs = 0:
% 3.13/3.32 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #58: input, references = 11, size of lhs = 1:
% 3.13/3.32 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 number of initial rules = 59
% 3.13/3.32
% 3.13/3.32 Simplifiers:
% 3.13/3.32 #59: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 P_relation_rng_restriction-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #60: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #61: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #62: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #63: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #64: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #65: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #66: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #67: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #68: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #69: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #70: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #71: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #72: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #73: unsound, references = 3, size of lhs = 3:
% 3.13/3.32 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 number of simplifiers = 15
% 3.13/3.32
% 3.13/3.32 Learnt:
% 3.13/3.32 #80: mergings( V0 == V2; #77 ), references = 1, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #82: mergings( V0 == V2; #78 ), references = 1, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #89: mergings( V0 == V2; #86 ), references = 1, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #91: mergings( V0 == V2; #87 ), references = 1, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #98: mergings( V2 == V3; #95 ), references = 1, size of lhs = 2:
% 3.13/3.32 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #100: mergings( V2 == V3; #96 ), references = 1, size of lhs = 3:
% 3.13/3.32 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #105: mergings( V0 == V3; #101 ), references = 3, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #108: mergings( V0 == V3, V2 == V3; #102 ), references = 1, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #110: mergings( V2 == V0; #103 ), references = 1, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), pppp7-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #138: mergings( V0 == V3; #134 ), references = 1, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #141: mergings( V0 == V3, V1 == V3; #135 ), references = 1, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #144: mergings( V0 == V3, V1 == V3; #136 ), references = 1, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #182: mergings( V2 == V4, V4 == V6; #177 ), references = 1, size of lhs = 7:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V1,V3), pppp1-{F}(V3,V4,V0), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng_restriction-{F}(V6,V1,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #186: mergings( V2 == V4, V4 == V6, V6 == V7; #178 ), references = 2, size of lhs = 8:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_rng-{F}(V1,V3), P_relation_rng_restriction-{F}(V4,V0,V5), pppp1-{F}(V6,V4,V0), P_relation_rng_restriction-{F}(V7,V1,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #190: mergings( V2 == V4, V4 == V6, V6 == V7; #179 ), references = 2, size of lhs = 10:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_rng-{F}(V1,V5), element-{F}(V5,V4), P_relation_rng_restriction-{F}(V6,V0,V7), pppp1-{F}(V8,V6,V0), P_relation_rng_restriction-{F}(V9,V1,V7) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #210: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 3.13/3.32 in-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #243: mergings( V0 == V4; #240 ), references = 1, size of lhs = 2:
% 3.13/3.32 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #245: mergings( V0 == V4; #241 ), references = 1, size of lhs = 3:
% 3.13/3.32 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #273: disj( #5, #4+#0 ), references = 1, size of lhs = 2:
% 3.13/3.32 in-{F}(V0,V1), in-{F}(V1,V2) | pppp12-{T}(V2,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #312: mergings( V9 == V10, V2 == V3, V3 == V6; #307 ), references = 1, size of lhs = 9:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_rng-{F}(V1,V3), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng-{F}(V5,V6), V6 == V2, P_relation_rng_restriction-{F}(V7,V1,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #316: mergings( V11 == V12, V2 == V3, V3 == V6; #308 ), references = 1, size of lhs = 11:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_rng-{F}(V1,V5), element-{F}(V5,V4), P_relation_rng_restriction-{F}(V6,V0,V7), P_relation_rng-{F}(V7,V8), V8 == V2, P_relation_rng_restriction-{F}(V9,V1,V7) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #322: mergings( V0 == V9, V2 == V3, V3 == V6; #317 ), references = 3, size of lhs = 7:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_rng-{F}(V1,V3), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng_restriction-{F}(V6,V1,V5) | P_relation_rng-{T}(V5,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #326: mergings( V0 == V11, V2 == V3, V3 == V6; #318 ), references = 1, size of lhs = 9:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_relation_rng-{F}(V1,V5), element-{F}(V5,V4), P_relation_rng_restriction-{F}(V6,V0,V7), P_relation_rng_restriction-{F}(V8,V1,V7) | P_relation_rng-{T}(V7,V2)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #356: mergings( V3 == V5, V5 == V6; #352 ), references = 1, size of lhs = 6:
% 3.13/3.32 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_rng-{F}(V0,V2), #-{F} V3 | P_relation_rng_restriction-{T}(V3,V0,V1)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #359: mergings( V3 == V5, V5 == V6; #353 ), references = 1, size of lhs = 7:
% 3.13/3.32 relation-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2), P_relation_rng-{F}(V0,V2), empty-{F}(V3), #-{F} V4 | P_relation_rng_restriction-{T}(V4,V0,V3)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #410: exists( #6, #408 ), references = 2, size of lhs = 2:
% 3.13/3.32 pppp12-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #417: mergings( V2 == V3; #415 ), references = 1, size of lhs = 4:
% 3.13/3.32 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp12-{F}(V1,V3), P_powerset-{F}(V3,V4) | pppp12-{T}(V2,V4)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #460: mergings( V2 == V4, V4 == V6; #455 ), references = 1, size of lhs = 7:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V1,V3), P_relation_rng_restriction-{F}(V4,V0,V5), pppp1-{F}(V6,V4,V0), P_relation_rng_restriction-{F}(V6,V1,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #464: mergings( V2 == V4, V4 == V6, V6 == V7; #456 ), references = 1, size of lhs = 8:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_rng_restriction-{F}(V3,V1,V4), P_relation_rng-{F}(V1,V5), P_relation_rng_restriction-{F}(V6,V0,V4), pppp1-{F}(V7,V6,V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #468: mergings( V2 == V4, V4 == V6, V6 == V7; #457 ), references = 1, size of lhs = 10:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V5,V4), P_relation_rng_restriction-{F}(V5,V1,V6), P_relation_rng-{F}(V1,V7), P_relation_rng_restriction-{F}(V8,V0,V6), pppp1-{F}(V9,V8,V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #504: mergings( V3 == V4, V4 == V6, V6 == V8; #500 ), references = 1, size of lhs = 10:
% 3.13/3.32 relation-{F}(V0), P_relation_rng-{F}(V0,V1), pppp12-{F}(V1,V2), relation-{F}(V3), P_empty_set-{F}(V4), P_relation_rng-{F}(V3,V5), P_relation_rng_restriction-{F}(V1,V0,V6), P_relation_rng-{F}(V6,V7), P_relation_rng_restriction-{F}(V2,V3,V8), P_relation_rng-{F}(V8,V7) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #509: mergings( V2 == V3, V3 == V7, V7 == V9; #505 ), references = 1, size of lhs = 8:
% 3.13/3.32 relation-{F}(V0), P_relation_rng-{F}(V0,V1), pppp12-{F}(V1,V2), relation-{F}(V3), P_empty_set-{F}(V4), P_relation_rng-{F}(V3,V5), P_relation_rng_restriction-{F}(V1,V0,V6), P_relation_rng_restriction-{F}(V2,V3,V6) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #538: mergings( V3 == V5; #536 ), references = 2, size of lhs = 6:
% 3.13/3.32 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), pppp12-{F}(V3,V4), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng-{F}(V5,V3) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #604: disj( #5, #4+#4+#7 ), references = 3, size of lhs = 3:
% 3.13/3.32 pppp0-{F}(V0,V1), pppp2-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp12-{T}(V4,V0)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #623: disj( #5, mergings( V3 == V5; #536 ) ), references = 3, size of lhs = 5:
% 3.13/3.32 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), P_relation_rng_restriction-{F}(V3,V0,V4), P_relation_rng-{F}(V4,V5) | pppp0-{T}(V5,V3)
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #639: exists( #58, #637 ), references = 2, size of lhs = 6:
% 3.13/3.32 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), pppp10-{F}(V3,V4), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng_restriction-{F}(V4,V3,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #685: mergings( V3 == V5; #682 ), references = 1, size of lhs = 9:
% 3.13/3.32 relation-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_rng_restriction-{F}(V4,V0,V5), pppp0-{F}(V4,V6), P_relation_rng_restriction-{F}(V7,V3,V5), pppp1-{F}(V8,V7,V3), pppp2-{F}(V9,V6,V8) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #687: mergings( V2 == V5; #683 ), references = 1, size of lhs = 9:
% 3.13/3.32 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_rng-{F}(V1,V3), P_relation_rng_restriction-{F}(V4,V0,V5), P_relation_rng_restriction-{F}(V6,V1,V5), pppp0-{F}(V6,V7), pppp1-{F}(V8,V4,V0), pppp2-{F}(V9,V7,V8) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #698: mergings( V3 == V5, V5 == V7; #694 ), references = 1, size of lhs = 10:
% 3.13/3.32 relation-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_rng-{F}(V3,V4), pppp12-{F}(V4,V5), pppp0-{F}(V4,V6), P_relation_rng_restriction-{F}(V6,V3,V7), P_relation_rng_restriction-{F}(V8,V0,V7), pppp0-{F}(V8,V5) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #701: mergings( V3 == V4, V4 == V7; #695 ), references = 1, size of lhs = 10:
% 3.13/3.32 relation-{F}(V0), P_relation_rng-{F}(V0,V1), pppp12-{F}(V1,V2), relation-{F}(V3), P_empty_set-{F}(V4), P_relation_rng-{F}(V3,V5), pppp0-{F}(V1,V6), P_relation_rng_restriction-{F}(V6,V0,V7), P_relation_rng_restriction-{F}(V8,V3,V7), pppp0-{F}(V8,V2) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #754: exists( #55, #639 ), references = 1, size of lhs = 4:
% 3.13/3.32 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2), pppp10-{F}(V0,V3) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #756: exists( #43, #753 ), references = 1, size of lhs = 4:
% 3.13/3.32 pppp11-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #758: exists( #58, #755 ), references = 2, size of lhs = 3:
% 3.13/3.32 pppp11-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #763: mergings( V0 == V2; #761 ), references = 1, size of lhs = 1:
% 3.13/3.32 P_empty_set-{F}(V0) | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 #765: exists( #57, #761 ), references = 1, size of lhs = 0:
% 3.13/3.32 FALSE | FALSE
% 3.13/3.32 (used 0 times, uses = {})
% 3.13/3.32
% 3.13/3.32 number of learnt formulas = 45
% 3.13/3.32
% 3.13/3.32
% 3.13/3.32 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.32
% 3.13/3.32 randbase = 1
%------------------------------------------------------------------------------