TSTP Solution File: NUM390+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 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 06:12:22 EDT 2022
% Result : Theorem 0.48s 0.70s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM390+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.13 % 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 23:32:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.48/0.70 GeoParameters:
% 0.48/0.70
% 0.48/0.70 tptp_input = 1
% 0.48/0.70 tptp_output = 0
% 0.48/0.70 nonempty = 1
% 0.48/0.70 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 RuleSystem INPUT:
% 0.48/0.70
% 0.48/0.70 Initial Rules:
% 0.48/0.70 #0: input, references = 3, size of lhs = 2:
% 0.48/0.70 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #1: input, references = 3, size of lhs = 2:
% 0.48/0.70 proper_subset-{F}(V0,V1), proper_subset-{F}(V1,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #2: input, references = 3, size of lhs = 1:
% 0.48/0.70 empty-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #3: input, references = 4, size of lhs = 1:
% 0.48/0.70 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #4: input, references = 3, size of lhs = 1:
% 0.48/0.70 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #5: input, references = 3, size of lhs = 1:
% 0.48/0.70 empty-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #6: input, references = 3, size of lhs = 3:
% 0.48/0.70 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #7: input, references = 3, size of lhs = 2:
% 0.48/0.70 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #8: input, references = 4, size of lhs = 1:
% 0.48/0.70 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #9: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #10: input, references = 7, size of lhs = 2:
% 0.48/0.70 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #11: input, references = 4, size of lhs = 1:
% 0.48/0.70 #-{F} V0 | pppp0-{T}(V0), pppp18-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #12: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp18-{F}(V0) | EXISTS V1: pppp2-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #13: input, references = 5, size of lhs = 2:
% 0.48/0.70 pppp2-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #14: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp2-{F}(V0,V1) | in-{T}(V1,V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #15: input, references = 3, size of lhs = 1:
% 0.48/0.70 proper_subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #16: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp1-{F}(V0,V1) | proper_subset-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #17: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #18: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp1-{F}(V1,V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #19: input, references = 4, size of lhs = 2:
% 0.48/0.70 subset-{F}(V0,V1), V0 == V1 | pppp1-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #20: input, references = 3, size of lhs = 1:
% 0.48/0.70 #-{F} V0 | EXISTS V1: pppp3-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #21: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #22: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #23: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #24: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #25: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #26: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #27: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #28: input, references = 3, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), proper_subset-{F}(V1,V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #29: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #30: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp4-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #31: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp4-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #32: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #33: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp5-{F}(V0) | ordinal-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #34: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp5-{F}(V0) | epsilon_connected-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #35: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp5-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #36: input, references = 4, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #37: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp6-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #38: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp6-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #39: input, references = 4, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #40: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp7-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #41: input, references = 4, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #42: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp8-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #43: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp8-{F}(V0) | empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #44: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp8-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #45: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #46: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp9-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #47: input, references = 3, size of lhs = 2:
% 0.48/0.70 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #48: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #49: input, references = 3, size of lhs = 2:
% 0.48/0.70 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #50: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #51: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp11-{F}(V0) | one_to_one-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #52: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp11-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #53: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp11-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #54: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #55: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp12-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #56: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp12-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #57: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #58: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp13-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #59: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp13-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #60: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp13-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #61: input, references = 3, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #62: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp14-{F}(V0) | function-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #63: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp14-{F}(V0) | relation_non_empty-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #64: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp14-{F}(V0) | relation-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #65: input, references = 3, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #66: input, references = 3, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #67: input, references = 4, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #68: input, references = 4, size of lhs = 4:
% 0.48/0.70 P_empty_set-{F}(V0), epsilon_transitive-{F}(V1), ordinal-{F}(V2), proper_subset-{F}(V1,V2) | in-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #69: input, references = 4, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #70: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp17-{F}(V0) | EXISTS V1: pppp16-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #71: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #72: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp16-{F}(V0,V1) | EXISTS V2: pppp15-{T}(V0,V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #73: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp16-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #74: input, references = 3, size of lhs = 1:
% 0.48/0.70 pppp16-{F}(V0,V1) | ordinal-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #75: input, references = 4, size of lhs = 2:
% 0.48/0.70 pppp15-{F}(V0,V1,V2), in-{F}(V0,V2) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #76: input, references = 5, size of lhs = 1:
% 0.48/0.70 pppp15-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #77: input, references = 4, size of lhs = 1:
% 0.48/0.70 pppp15-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #78: input, references = 4, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #79: input, references = 4, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #80: input, references = 4, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #81: input, references = 4, size of lhs = 4:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #82: input, references = 3, size of lhs = 5:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #83: input, references = 6, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #84: input, references = 3, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #85: input, references = 4, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #86: input, references = 6, size of lhs = 4:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #87: input, references = 4, size of lhs = 0:
% 0.48/0.70 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #88: input, references = 4, size of lhs = 1:
% 0.48/0.70 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of initial rules = 89
% 0.48/0.70
% 0.48/0.70 Simplifiers:
% 0.48/0.70 #89: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #90: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #91: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #92: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #93: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #94: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #95: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #96: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #97: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #98: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #99: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #100: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #101: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #102: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #103: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #104: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #105: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #106: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp15-{F}(V0,V1,V2), pppp15-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #107: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp15-{F}(V0,V1,V2), pppp15-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #108: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #109: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp16-{F}(V0,V1), pppp16-{F}(V2,V3), V0 == V2 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #110: unsound, references = 3, size of lhs = 3:
% 0.48/0.70 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of simplifiers = 22
% 0.48/0.70
% 0.48/0.70 Learnt:
% 0.48/0.70 #114: exists( #12, #112 ), references = 1, size of lhs = 2:
% 0.48/0.70 pppp18-{F}(V0), pppp0-{F}(V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #132: mergings( V0 == V2; #129 ), references = 1, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #134: mergings( V0 == V2; #130 ), references = 1, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #142: mergings( V0 == V2; #139 ), references = 1, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #144: mergings( V0 == V2; #140 ), references = 1, size of lhs = 2:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #153: disj( #78, input ), references = 1, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), pppp9-{F}(V1), element-{F}(V2,V1) | in-{T}(V2,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #155: mergings( V0 == V3; #151 ), references = 1, size of lhs = 3:
% 0.48/0.70 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #158: mergings( V0 == V3, V2 == V3; #152 ), references = 1, size of lhs = 4:
% 0.48/0.70 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #191: mergings( V2 == V3, V3 == V4; #188 ), references = 2, size of lhs = 5:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp2-{F}(V1,V3), in-{F}(V3,V4), subset-{F}(V4,V2) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #196: mergings( V2 == V3, V3 == V4; #193 ), references = 2, size of lhs = 4:
% 0.48/0.70 pppp18-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V0,V2), subset-{F}(V0,V2) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #205: disj( #11, #10+#196 ), references = 1, size of lhs = 4:
% 0.48/0.70 pppp18-{F}(V0), in-{F}(V0,V1), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp18-{T}(V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #206: disj( #11, #10+#191 ), references = 1, size of lhs = 5:
% 0.48/0.70 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp2-{F}(V1,V3), in-{F}(V3,V4), in-{F}(V4,V2) | pppp18-{T}(V2)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #244: mergings( V3 == V4; #242 ), references = 1, size of lhs = 4:
% 0.48/0.70 P_empty_set-{F}(V0), epsilon_transitive-{F}(V1), pppp16-{F}(V1,V2), subset-{F}(V1,V2) | pppp15-{T}(V1,V2,V1)
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #259: mergings( V2 == V3, V3 == V4; #255 ), references = 2, size of lhs = 3:
% 0.48/0.70 pppp17-{F}(V0), epsilon_transitive-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #263: mergings( V0 == V2; #261 ), references = 1, size of lhs = 1:
% 0.48/0.70 P_empty_set-{F}(V0) | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 #265: exists( #87, #261 ), references = 1, size of lhs = 0:
% 0.48/0.70 FALSE | FALSE
% 0.48/0.70 (used 0 times, uses = {})
% 0.48/0.70
% 0.48/0.70 number of learnt formulas = 18
% 0.48/0.70
% 0.48/0.70
% 0.48/0.70 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.70
% 0.48/0.70 randbase = 1
%------------------------------------------------------------------------------