TSTP Solution File: SEU243+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:17:36 EDT 2022
% Result : Theorem 5.63s 5.84s
% Output : Refutation 5.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 19:17:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.63/5.84 GeoParameters:
% 5.63/5.84
% 5.63/5.84 tptp_input = 1
% 5.63/5.84 tptp_output = 0
% 5.63/5.84 nonempty = 1
% 5.63/5.84 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.84 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 5.63/5.84
% 5.63/5.84
% 5.63/5.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.84 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.84
% 5.63/5.84 RuleSystem INPUT:
% 5.63/5.84
% 5.63/5.84 Initial Rules:
% 5.63/5.84 #0: input, references = 7, size of lhs = 2:
% 5.63/5.84 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1: input, references = 3, size of lhs = 1:
% 5.63/5.84 empty-{F}(V0) | function-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #2: input, references = 3, size of lhs = 3:
% 5.63/5.84 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #3: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #4: input, references = 4, size of lhs = 2:
% 5.63/5.84 relation-{F}(V0), well_founded_relation-{F}(V0) | pppp0-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #5: input, references = 5, size of lhs = 2:
% 5.63/5.84 relation-{F}(V0), pppp0-{F}(V0) | well_founded_relation-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #6: input, references = 4, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp0-{F}(V1), subset-{F}(V3,V2), V3 == V0 | EXISTS V4: pppp2-{T}(V1,V3,V4)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #7: input, references = 7, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2) | pppp0-{T}(V1), pppp14-{T}(V1,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #8: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp3-{T}(V0,V3,V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #9: input, references = 5, size of lhs = 4:
% 5.63/5.84 pppp3-{F}(V0,V1,V2,V3), P_fiber-{F}(V0,V4,V5), in-{F}(V4,V1), disjoint-{F}(V5,V1) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #10: input, references = 7, size of lhs = 1:
% 5.63/5.84 pppp3-{F}(V0,V3,V2,V3) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #11: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp3-{F}(V0,V1,V2,V3) | subset-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #12: input, references = 5, size of lhs = 2:
% 5.63/5.84 pppp2-{F}(V0,V1,V2), P_fiber-{F}(V0,V2,V3) | disjoint-{T}(V3,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #13: input, references = 6, size of lhs = 2:
% 5.63/5.84 pppp2-{F}(V0,V1,V2), P_fiber-{F}(V0,V2,V3) | in-{T}(V2,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #14: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), relation-{F}(V1), is_well_founded_in-{F}(V1,V2) | pppp1-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #15: input, references = 5, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), relation-{F}(V1), pppp1-{F}(V1,V2) | is_well_founded_in-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #16: input, references = 5, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0 | EXISTS V4: pppp4-{T}(V1,V3,V4)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #17: input, references = 7, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp15-{T}(V1,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #18: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp5-{T}(V0,V1,V3,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #19: input, references = 6, size of lhs = 4:
% 5.63/5.84 pppp5-{F}(V0,V1,V2,V3), P_fiber-{F}(V0,V4,V5), in-{F}(V4,V2), disjoint-{F}(V5,V2) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #20: input, references = 7, size of lhs = 1:
% 5.63/5.84 pppp5-{F}(V0,V1,V3,V3) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #21: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp5-{F}(V0,V1,V2,V3) | subset-{T}(V2,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #22: input, references = 6, size of lhs = 2:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), P_fiber-{F}(V0,V2,V3) | disjoint-{T}(V3,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #23: input, references = 10, size of lhs = 2:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), P_fiber-{F}(V0,V2,V3) | in-{T}(V2,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #24: input, references = 4, size of lhs = 7:
% 5.63/5.84 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_relation_rng-{F}(V1,V4), P_set_union2-{F}(V3,V4,V5), relation-{F}(V1), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #25: input, references = 5, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp6-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #26: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #27: input, references = 3, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | empty-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #28: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #29: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #30: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #31: input, references = 3, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #32: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp7-{F}(V0) | function-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #33: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp7-{F}(V0) | relation-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #34: input, references = 4, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #35: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp8-{F}(V0) | empty-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #36: input, references = 4, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #37: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp9-{F}(V0) | function-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #38: input, references = 5, size of lhs = 1:
% 5.63/5.84 pppp9-{F}(V0) | empty-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #39: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp9-{F}(V0) | relation-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #40: input, references = 3, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #41: input, references = 3, size of lhs = 2:
% 5.63/5.84 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #42: input, references = 3, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #43: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp11-{F}(V0) | one_to_one-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #44: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp11-{F}(V0) | function-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #45: input, references = 3, size of lhs = 1:
% 5.63/5.84 pppp11-{F}(V0) | relation-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #46: input, references = 3, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #47: input, references = 3, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #48: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #49: input, references = 5, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #50: input, references = 4, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #51: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #52: input, references = 5, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #53: input, references = 14, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #54: input, references = 4, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #55: input, references = 4, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #56: input, references = 5, size of lhs = 2:
% 5.63/5.84 pppp13-{F}(V0), P_relation_field-{F}(V0,V1) | pppp12-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #57: input, references = 5, size of lhs = 3:
% 5.63/5.84 pppp12-{F}(V0,V1), is_well_founded_in-{F}(V0,V1), well_founded_relation-{F}(V0) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #58: input, references = 4, size of lhs = 1:
% 5.63/5.84 pppp12-{F}(V0,V1) | well_founded_relation-{T}(V0), is_well_founded_in-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #59: input, references = 4, size of lhs = 1:
% 5.63/5.84 pppp12-{F}(V0,V1) | relation-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #60: input, references = 6, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #61: input, references = 4, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #62: input, references = 5, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #63: input, references = 6, size of lhs = 2:
% 5.63/5.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #64: input, references = 5, size of lhs = 1:
% 5.63/5.84 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #65: input, references = 4, size of lhs = 0:
% 5.63/5.84 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #66: input, references = 14, size of lhs = 2:
% 5.63/5.84 #-{F} V0, #-{F} V1 | EXISTS V2: P_fiber-{T}(V0,V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #67: input, references = 3, size of lhs = 1:
% 5.63/5.84 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #68: input, references = 4, size of lhs = 1:
% 5.63/5.84 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #69: input, references = 4, size of lhs = 1:
% 5.63/5.84 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 number of initial rules = 70
% 5.63/5.84
% 5.63/5.84 Simplifiers:
% 5.63/5.84 #70: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #71: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #72: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #73: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_fiber-{F}(V0,V1,V2), P_fiber-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #74: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #75: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #76: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #77: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #78: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #79: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #80: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp3-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #81: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #82: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #83: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #84: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #85: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #86: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #87: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #88: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #89: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #90: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #91: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #92: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #93: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #94: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V5), V1 == V4 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #95: unsound, references = 3, size of lhs = 3:
% 5.63/5.84 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V2 == V5 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 number of simplifiers = 26
% 5.63/5.84
% 5.63/5.84 Learnt:
% 5.63/5.84 #97: exists( #63, #30 ), references = 1, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #112: mergings( V0 == V2; #109 ), references = 1, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #114: mergings( V0 == V2; #110 ), references = 1, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #116: exists( #63, #48 ), references = 1, size of lhs = 2:
% 5.63/5.84 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #119: exists( #63, #3 ), references = 1, size of lhs = 1:
% 5.63/5.84 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #120: exists( #63, #24 ), references = 3, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), P_relation_dom-{F}(V1,V3), P_relation_rng-{F}(V1,V4) | P_set_union2-{T}(V3,V4,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #129: mergings( V0 == V3; #125 ), references = 8, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #132: mergings( V0 == V3, V2 == V3; #126 ), references = 1, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #134: mergings( V2 == V0; #127 ), references = 1, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), pppp10-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #149: mergings( V2 == V5, V5 == V6; #146 ), references = 1, size of lhs = 6:
% 5.63/5.84 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), in-{F}(V4,V2) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #152: mergings( V2 == V5, V5 == V6; #144 ), references = 1, size of lhs = 5:
% 5.63/5.84 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #179: mergings( V0 == V3, V3 == V4; #176 ), references = 3, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #185: mergings( V0 == V3, V3 == V4, V4 == V5; #181 ), references = 1, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp6-{T}(V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #194: disj( #7, #5+#57 ), references = 2, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp12-{F}(V1,V3), is_well_founded_in-{F}(V1,V3) | pppp14-{T}(V1,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #216: mergings( V4 == V5; #214 ), references = 1, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp14-{F}(V4,V3,V5) | pppp3-{T}(V4,V0,V3,V5)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #220: mergings( V3 == V0; #218 ), references = 2, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), P_relation_field-{F}(V4,V3) | pppp0-{T}(V4)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #224: mergings( V0 == V3; #222 ), references = 1, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), relation-{F}(V1), well_founded_relation-{F}(V1), pppp12-{F}(V1,V2) | pppp15-{T}(V1,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #231: mergings( V4 == V5; #229 ), references = 2, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), pppp15-{F}(V4,V3,V5) | pppp5-{T}(V4,V3,V0,V5)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #240: mergings( V2 == V4, V4 == V5, V5 == V6; #236 ), references = 1, size of lhs = 5:
% 5.63/5.84 relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp12-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #248: disj( #17, #231+#20 ), references = 1, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V3,V2), #-{F} V4 | pppp1-{T}(V4,V3)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #281: exists( #66, #279 ), references = 1, size of lhs = 3:
% 5.63/5.84 in-{F}(V0,V1), pppp4-{F}(V2,V1,V0), pppp3-{F}(V2,V1,V3,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #310: exists( #66, #306 ), references = 2, size of lhs = 2:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V3,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #311: exists( #66, #305 ), references = 1, size of lhs = 2:
% 5.63/5.84 in-{F}(V0,V1), pppp4-{F}(V2,V0,V1) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #335: exists( #16, #310 ), references = 1, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0, pppp3-{F}(V1,V3,V4,V5) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #338: exists( #8, #336 ), references = 3, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp14-{F}(V1,V2,V3) | pppp3-{T}(V1,V0,V2,V3)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #345: mergings( V0 == V3, V3 == V4; #342 ), references = 1, size of lhs = 4:
% 5.63/5.84 relation-{F}(V0), pppp12-{F}(V0,V1), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2) | pppp15-{T}(V0,V1,V2)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #375: mergings( V3 == V4, V4 == V5; #372 ), references = 1, size of lhs = 6:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V1,V3), in-{F}(V3,V4), pppp4-{F}(V5,V2,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #378: disj( #7, #338+#10 ), references = 1, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp1-{F}(V1,V2) | pppp0-{T}(V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #432: exists( #66, #430 ), references = 2, size of lhs = 2:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V1,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #444: exists( #16, #432 ), references = 2, size of lhs = 5:
% 5.63/5.84 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0, pppp5-{F}(V1,V4,V3,V5) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #447: mergings( V0 == V3; #445 ), references = 1, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), subset-{F}(V1,V2), V1 == V0, pppp5-{F}(V3,V4,V1,V5) | pppp15-{T}(V3,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #579: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #571 ), references = 2, size of lhs = 13:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, P_powerset-{F}(V2,V3), element-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V6,V4), P_powerset-{F}(V7,V6), V7 == V0, in-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V10), pppp4-{F}(V11,V5,V10) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #649: mergings( V3 == V4, V4 == V5, V5 == V6; #645 ), references = 1, size of lhs = 18:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, P_powerset-{F}(V2,V3), element-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V6,V4), P_powerset-{F}(V7,V6), V7 == V0, in-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V10), pppp2-{F}(V11,V12,V10), element-{F}(V12,V13), P_powerset-{F}(V14,V13), P_powerset-{F}(V15,V14), V15 == V0, pppp4-{F}(V16,V5,V15) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #679: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #673 ), references = 1, size of lhs = 13:
% 5.63/5.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, P_powerset-{F}(V2,V3), element-{F}(V1,V4), element-{F}(V5,V3), P_powerset-{F}(V6,V4), P_powerset-{F}(V7,V6), V7 == V0, in-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V10), pppp2-{F}(V11,V5,V10) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #728: exists( #66, #726 ), references = 2, size of lhs = 3:
% 5.63/5.84 in-{F}(V0,V1), pppp2-{F}(V2,V1,V0), pppp5-{F}(V2,V3,V1,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #785: exists( #66, #783 ), references = 1, size of lhs = 3:
% 5.63/5.84 pppp4-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), pppp5-{F}(V3,V4,V1,V5) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #862: mergings( V3 == V4, V4 == V5; #859 ), references = 1, size of lhs = 6:
% 5.63/5.84 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp4-{F}(V4,V3,V5), V5 == V0, pppp5-{F}(V1,V6,V5,V7) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #992: exists( #66, #989 ), references = 1, size of lhs = 2:
% 5.63/5.84 pppp2-{F}(V0,V1,V2), pppp5-{F}(V0,V3,V1,V4) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #995: exists( #6, #991 ), references = 2, size of lhs = 6:
% 5.63/5.84 P_empty_set-{F}(V0), pppp0-{F}(V1), P_relation_field-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0, pppp5-{F}(V1,V4,V3,V5) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #998: exists( #18, #996 ), references = 2, size of lhs = 4:
% 5.63/5.84 P_empty_set-{F}(V0), pppp0-{F}(V1), P_relation_field-{F}(V1,V2), pppp15-{F}(V1,V2,V3) | pppp5-{T}(V1,V2,V0,V3)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1003: mergings( V2 == V4, V0 == V3; #1000 ), references = 1, size of lhs = 3:
% 5.63/5.84 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), pppp15-{F}(V1,V2,V0) | pppp14-{T}(V1,V2,V0)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1015: disj( #58, #4+#998+#20 ), references = 1, size of lhs = 5:
% 5.63/5.84 relation-{F}(V0), pppp12-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_field-{F}(V0,V3), pppp15-{F}(V0,V3,V2) | is_well_founded_in-{T}(V0,V1)
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1027: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1022 ), references = 2, size of lhs = 3:
% 5.63/5.84 pppp13-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1045: exists( #64, #1042 ), references = 1, size of lhs = 2:
% 5.63/5.84 pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1048: mergings( V0 == V2; #1046 ), references = 1, size of lhs = 1:
% 5.63/5.84 P_empty_set-{F}(V0) | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 #1050: exists( #65, #1046 ), references = 1, size of lhs = 0:
% 5.63/5.84 FALSE | FALSE
% 5.63/5.84 (used 0 times, uses = {})
% 5.63/5.84
% 5.63/5.84 number of learnt formulas = 48
% 5.63/5.84
% 5.63/5.84
% 5.63/5.84 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.63/5.84
% 5.63/5.84 randbase = 1
%------------------------------------------------------------------------------