TSTP Solution File: SEU062+1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:08 EDT 2022
% Result : Theorem 6.13s 6.30s
% Output : Refutation 6.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n013.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 19:15:30 EDT 2022
% 0.18/0.33 % CPUTime :
% 6.13/6.30 GeoParameters:
% 6.13/6.30
% 6.13/6.30 tptp_input = 1
% 6.13/6.30 tptp_output = 0
% 6.13/6.30 nonempty = 1
% 6.13/6.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.13/6.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.13/6.30
% 6.13/6.30
% 6.13/6.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.13/6.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.13/6.30
% 6.13/6.30 RuleSystem INPUT:
% 6.13/6.30
% 6.13/6.30 Initial Rules:
% 6.13/6.30 #0: input, references = 7, size of lhs = 2:
% 6.13/6.30 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #1: input, references = 3, size of lhs = 1:
% 6.13/6.30 empty-{F}(V0) | function-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #2: input, references = 3, size of lhs = 1:
% 6.13/6.30 empty-{F}(V0) | relation-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #3: input, references = 3, size of lhs = 3:
% 6.13/6.30 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #4: input, references = 4, size of lhs = 1:
% 6.13/6.30 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #5: input, references = 4, size of lhs = 1:
% 6.13/6.30 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #6: input, references = 14, size of lhs = 2:
% 6.13/6.30 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #7: input, references = 11, size of lhs = 2:
% 6.13/6.30 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp15-{T}(V0,V1)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #8: input, references = 6, size of lhs = 1:
% 6.13/6.30 pppp15-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #9: input, references = 8, size of lhs = 2:
% 6.13/6.30 pppp1-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #10: input, references = 6, size of lhs = 1:
% 6.13/6.30 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #11: input, references = 5, size of lhs = 1:
% 6.13/6.30 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #12: input, references = 5, size of lhs = 1:
% 6.13/6.30 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #13: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #14: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #15: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #16: input, references = 3, size of lhs = 3:
% 6.13/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #17: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #18: input, references = 3, size of lhs = 3:
% 6.13/6.30 P_empty_set-{F}(V0), P_singleton-{F}(V1,V2), empty-{F}(V2) | FALSE
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #19: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #20: input, references = 3, size of lhs = 1:
% 6.13/6.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 6.13/6.30 (used 0 times, uses = {})
% 6.13/6.30
% 6.13/6.30 #21: input, references = 3, size of lhs = 4:
% 6.15/6.30 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #22: input, references = 5, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #23: input, references = 3, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #24: input, references = 3, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #25: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp3-{F}(V0) | function-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #26: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp3-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #27: input, references = 4, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #28: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp4-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #29: input, references = 5, size of lhs = 1:
% 6.15/6.30 pppp4-{F}(V0) | empty-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #30: input, references = 4, size of lhs = 2:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #31: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #32: input, references = 3, size of lhs = 2:
% 6.15/6.30 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #33: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #34: input, references = 4, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #35: input, references = 4, size of lhs = 1:
% 6.15/6.30 pppp6-{F}(V0) | empty-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #36: input, references = 4, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #37: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp7-{F}(V0) | function-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #38: input, references = 5, size of lhs = 1:
% 6.15/6.30 pppp7-{F}(V0) | empty-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #39: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp7-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #40: input, references = 3, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #41: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp8-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #42: input, references = 3, size of lhs = 2:
% 6.15/6.30 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #43: input, references = 4, size of lhs = 2:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #44: input, references = 4, size of lhs = 1:
% 6.15/6.30 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #45: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #46: input, references = 3, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #47: input, references = 3, size of lhs = 2:
% 6.15/6.30 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #48: input, references = 3, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #49: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp11-{F}(V0) | one_to_one-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #50: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp11-{F}(V0) | function-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #51: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp11-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #52: input, references = 3, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #53: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp12-{F}(V0) | relation_empty_yielding-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #54: input, references = 3, size of lhs = 1:
% 6.15/6.30 pppp12-{F}(V0) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #55: input, references = 3, size of lhs = 2:
% 6.15/6.30 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #56: input, references = 5, size of lhs = 6:
% 6.15/6.30 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), P_singleton-{F}(V3,V4), P_relation_inverse_image-{F}(V1,V4,V0), in-{F}(V3,V2) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #57: input, references = 7, size of lhs = 6:
% 6.15/6.30 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), P_singleton-{F}(V3,V4), P_relation_inverse_image-{F}(V1,V4,V5), V5 == V0 | in-{T}(V3,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #58: input, references = 4, size of lhs = 1:
% 6.15/6.30 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1,V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #59: input, references = 4, size of lhs = 2:
% 6.15/6.30 pppp14-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | EXISTS V3: pppp13-{T}(V3,V0,V1,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #60: input, references = 4, size of lhs = 2:
% 6.15/6.30 pppp14-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #61: input, references = 4, size of lhs = 2:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), subset-{F}(V0,V3) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #62: input, references = 7, size of lhs = 4:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), P_singleton-{F}(V4,V5), P_relation_inverse_image-{F}(V1,V5,V2), in-{F}(V4,V0) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #63: input, references = 7, size of lhs = 2:
% 6.15/6.30 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #64: input, references = 5, size of lhs = 2:
% 6.15/6.30 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #65: input, references = 4, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #66: input, references = 3, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #67: input, references = 5, size of lhs = 4:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #68: input, references = 4, size of lhs = 5:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #69: input, references = 9, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #70: input, references = 5, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #71: input, references = 6, size of lhs = 4:
% 6.15/6.30 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #72: input, references = 4, size of lhs = 0:
% 6.15/6.30 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #73: input, references = 3, size of lhs = 1:
% 6.15/6.30 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #74: input, references = 5, size of lhs = 1:
% 6.15/6.30 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #75: input, references = 8, size of lhs = 1:
% 6.15/6.30 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #76: input, references = 7, size of lhs = 2:
% 6.15/6.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_inverse_image-{T}(V0,V1,V2)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 number of initial rules = 77
% 6.15/6.30
% 6.15/6.30 Simplifiers:
% 6.15/6.30 #77: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #78: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #79: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #80: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #81: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 P_relation_inverse_image-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #82: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #83: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #84: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #85: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #86: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #87: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #88: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #89: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #90: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #91: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #92: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #93: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #94: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #95: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V2,V7), V1 == V5 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #96: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #97: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #98: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #99: unsound, references = 3, size of lhs = 3:
% 6.15/6.30 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V1 == V3 | FALSE
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 number of simplifiers = 23
% 6.15/6.30
% 6.15/6.30 Learnt:
% 6.15/6.30 #102: mergings( V0 == V3; #100 ), references = 2, size of lhs = 5:
% 6.15/6.30 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 6.15/6.30 (used 0 times, uses = {})
% 6.15/6.30
% 6.15/6.30 #110: mergings( V0 == V3; #106 ), references = 1, size of lhs = 3:
% 6.15/6.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp16-{T}(V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #112: mergings( V0 == V3; #107 ), references = 1, size of lhs = 3:
% 6.15/6.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #115: mergings( V0 == V3, V1 == V3; #108 ), references = 1, size of lhs = 4:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 6.15/6.31 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #134: mergings( V2 == V3; #131 ), references = 1, size of lhs = 2:
% 6.15/6.31 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #136: mergings( V2 == V3; #132 ), references = 1, size of lhs = 3:
% 6.15/6.31 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #143: mergings( V0 == V2; #140 ), references = 1, size of lhs = 1:
% 6.15/6.31 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #145: mergings( V0 == V2; #141 ), references = 1, size of lhs = 2:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #167: mergings( V0 == V3; #163 ), references = 1, size of lhs = 3:
% 6.15/6.31 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #169: mergings( V0 == V3; #164 ), references = 3, size of lhs = 3:
% 6.15/6.31 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #172: mergings( V0 == V3, V2 == V3; #165 ), references = 1, size of lhs = 4:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #178: mergings( V0 == V2; #176 ), references = 1, size of lhs = 1:
% 6.15/6.31 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #209: disj( #7, #6+#0 ), references = 1, size of lhs = 1:
% 6.15/6.31 in-{F}(V0,V1) | pppp15-{T}(V1,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #210: disj( #7, #6+#70 ), references = 1, size of lhs = 3:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp15-{T}(V3,V1)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #211: disj( #7, #6+#68 ), references = 1, size of lhs = 5:
% 6.15/6.31 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), in-{F}(V4,V5) | pppp15-{T}(V5,V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #224: mergings( V2 == V5; #221 ), references = 3, size of lhs = 5:
% 6.15/6.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #228: exists( #11, #226 ), references = 1, size of lhs = 3:
% 6.15/6.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp2-{T}(V1,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #238: mergings( V3 == V5; #235 ), references = 1, size of lhs = 5:
% 6.15/6.31 relation-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2), P_singleton-{F}(V3,V4) | P_relation_inverse_image-{T}(V0,V4,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #255: mergings( V0 == V4; #253 ), references = 1, size of lhs = 2:
% 6.15/6.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #282: exists( #76, #280 ), references = 2, size of lhs = 5:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4) | P_relation_inverse_image-{T}(V1,V4,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #286: mergings( V4 == V7; #284 ), references = 1, size of lhs = 7:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), in-{F}(V2,V3), P_singleton-{F}(V3,V4), P_singleton-{F}(V5,V4), in-{F}(V5,V2) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #299: mergings( V3 == V5; #297 ), references = 2, size of lhs = 4:
% 6.15/6.31 empty-{F}(V0), P_powerset-{F}(V0,V1), pppp15-{F}(V1,V2), P_empty_set-{F}(V3) | pppp1-{T}(V1,V2,V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #322: exists( #76, #318 ), references = 1, size of lhs = 4:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_singleton-{F}(V2,V3) | P_relation_inverse_image-{T}(V1,V3,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #326: mergings( V4 == V6; #324 ), references = 1, size of lhs = 6:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), in-{F}(V4,V2) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #358: exists( #74, #356 ), references = 1, size of lhs = 6:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), pppp13-{F}(V4,V1,V0,V5) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #398: disj( #7, #299+#9 ), references = 1, size of lhs = 4:
% 6.15/6.31 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), in-{F}(V2,V3) | pppp0-{T}(V1,V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #454: disj( #7, #6+#0 ), references = 1, size of lhs = 2:
% 6.15/6.31 in-{F}(V0,V1), in-{F}(V1,V2) | pppp15-{T}(V2,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #455: disj( #7, #6+#9 ), references = 2, size of lhs = 2:
% 6.15/6.31 in-{F}(V0,V1), pppp1-{F}(V2,V3,V0) | pppp15-{T}(V1,V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #581: mergings( V2 == V3, V3 == V4; #578 ), references = 1, size of lhs = 6:
% 6.15/6.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp1-{F}(V3,V1,V4), in-{F}(V4,V5), in-{F}(V5,V6) | pppp15-{T}(V6,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #652: exists( #76, #650 ), references = 2, size of lhs = 5:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), pppp1-{F}(V3,V2,V4), P_singleton-{F}(V4,V5) | P_relation_inverse_image-{T}(V1,V5,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #713: exists( #8, #710 ), references = 3, size of lhs = 2:
% 6.15/6.31 pppp15-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #764: mergings( V2 == V3, V3 == V4; #760 ), references = 1, size of lhs = 8:
% 6.15/6.31 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, in-{F}(V3,V4), in-{F}(V4,V5), P_singleton-{F}(V3,V6), P_relation_inverse_image-{F}(V7,V6,V8), pppp13-{F}(V1,V7,V8,V9) | pppp15-{T}(V5,V2)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #766: mergings( V2 == V3; #761 ), references = 1, size of lhs = 4:
% 6.15/6.31 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp15-{F}(V1,V3), P_powerset-{F}(V3,V4) | pppp15-{T}(V2,V4)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #769: disj( #7, #6+#62 ), references = 1, size of lhs = 4:
% 6.15/6.31 in-{F}(V0,V1), P_singleton-{F}(V0,V2), P_relation_inverse_image-{F}(V3,V2,V4), pppp13-{F}(V5,V3,V4,V6) | pppp15-{T}(V1,V5)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #804: disj( #7, #5+#61 ), references = 1, size of lhs = 1:
% 6.15/6.31 pppp13-{F}(V0,V1,V2,V3) | pppp15-{T}(V0,V3)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #848: disj( #7, #6+#455+#713 ), references = 1, size of lhs = 3:
% 6.15/6.31 pppp0-{F}(V0,V1), pppp1-{F}(V2,V1,V3), in-{F}(V3,V4) | pppp15-{T}(V4,V0)
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #898: exists( #74, #895 ), references = 1, size of lhs = 6:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), pppp1-{F}(V3,V2,V4), in-{F}(V4,V5), pppp13-{F}(V5,V1,V0,V6) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #901: exists( #8, #899 ), references = 1, size of lhs = 5:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), pppp15-{F}(V3,V2), pppp13-{F}(V3,V1,V0,V4) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #904: exists( #59, #902 ), references = 1, size of lhs = 4:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), pppp14-{F}(V1,V0), P_relation_rng-{F}(V1,V2) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #906: exists( #75, #903 ), references = 2, size of lhs = 3:
% 6.15/6.31 P_empty_set-{F}(V0), relation-{F}(V1), pppp14-{F}(V1,V0) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #939: mergings( V2 == V3; #936 ), references = 1, size of lhs = 2:
% 6.15/6.31 P_empty_set-{F}(V0), pppp14-{F}(V1,V0) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #942: exists( #58, #936 ), references = 1, size of lhs = 1:
% 6.15/6.31 P_empty_set-{F}(V0) | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 #945: exists( #72, #940 ), references = 1, size of lhs = 0:
% 6.15/6.31 FALSE | FALSE
% 6.15/6.31 (used 0 times, uses = {})
% 6.15/6.31
% 6.15/6.31 number of learnt formulas = 45
% 6.15/6.31
% 6.15/6.31
% 6.15/6.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.15/6.31
% 6.15/6.31 randbase = 1
%------------------------------------------------------------------------------