TSTP Solution File: SEU234+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU234+3 : 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 06:17:34 EDT 2022
% Result : Theorem 1.06s 1.27s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % 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 18:53:00 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.27 GeoParameters:
% 1.06/1.27
% 1.06/1.27 tptp_input = 1
% 1.06/1.27 tptp_output = 0
% 1.06/1.27 nonempty = 1
% 1.06/1.27 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.27 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.06/1.27
% 1.06/1.27
% 1.06/1.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.27 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.27
% 1.06/1.27 RuleSystem INPUT:
% 1.06/1.27
% 1.06/1.27 Initial Rules:
% 1.06/1.27 #0: input, references = 4, size of lhs = 2:
% 1.06/1.27 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #1: input, references = 3, size of lhs = 1:
% 1.06/1.27 empty-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #2: input, references = 3, size of lhs = 1:
% 1.06/1.27 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #3: input, references = 3, size of lhs = 1:
% 1.06/1.27 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #4: input, references = 3, size of lhs = 1:
% 1.06/1.27 empty-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #5: input, references = 3, size of lhs = 3:
% 1.06/1.27 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #6: input, references = 4, size of lhs = 2:
% 1.06/1.27 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #7: input, references = 3, size of lhs = 1:
% 1.06/1.27 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #8: input, references = 3, size of lhs = 1:
% 1.06/1.27 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #9: input, references = 3, size of lhs = 1:
% 1.06/1.27 empty-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #10: input, references = 3, size of lhs = 1:
% 1.06/1.27 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #11: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #12: input, references = 4, size of lhs = 2:
% 1.06/1.27 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #13: input, references = 5, size of lhs = 1:
% 1.06/1.27 #-{F} V0 | pppp0-{T}(V0), pppp23-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #14: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp23-{F}(V0) | EXISTS V1: pppp3-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #15: input, references = 5, size of lhs = 2:
% 1.06/1.27 pppp3-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #16: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp3-{F}(V0,V1) | in-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #17: input, references = 3, size of lhs = 1:
% 1.06/1.27 epsilon_connected-{F}(V0) | pppp1-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #18: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp1-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #19: input, references = 4, size of lhs = 4:
% 1.06/1.27 pppp1-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), V2 == V1 | in-{T}(V2,V1), in-{T}(V1,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #20: input, references = 4, size of lhs = 1:
% 1.06/1.27 #-{F} V0 | pppp1-{T}(V0), pppp24-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #21: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp24-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #22: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp5-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V2,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #23: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp5-{F}(V0,V1) | in-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #24: input, references = 5, size of lhs = 2:
% 1.06/1.27 pppp4-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #25: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp4-{F}(V0,V2,V2) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #26: input, references = 3, size of lhs = 2:
% 1.06/1.27 pppp4-{F}(V0,V1,V2), in-{F}(V1,V2) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #27: input, references = 4, size of lhs = 1:
% 1.06/1.27 pppp4-{F}(V0,V1,V2) | in-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #28: input, references = 3, size of lhs = 1:
% 1.06/1.27 ordinal-{F}(V0) | pppp2-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #29: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #30: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #31: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #32: input, references = 3, size of lhs = 2:
% 1.06/1.27 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | pppp2-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #33: input, references = 3, size of lhs = 1:
% 1.06/1.27 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #34: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #35: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #36: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #37: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #38: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #39: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #40: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #41: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #42: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #43: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #44: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | one_to_one-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #45: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #46: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #47: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp7-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #48: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #49: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #50: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #51: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp8-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #52: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp8-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #53: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #54: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp9-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #55: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #56: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #57: input, references = 4, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #58: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp10-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #59: input, references = 5, size of lhs = 1:
% 1.06/1.27 pppp10-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #60: input, references = 4, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #61: input, references = 5, size of lhs = 1:
% 1.06/1.27 pppp11-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #62: input, references = 4, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #63: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp12-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #64: input, references = 5, size of lhs = 1:
% 1.06/1.27 pppp12-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #65: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp12-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #66: input, references = 4, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #67: input, references = 5, size of lhs = 1:
% 1.06/1.27 pppp14-{F}(V0) | pppp13-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #68: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #69: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #70: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #71: input, references = 5, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #72: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #73: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #74: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp13-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #75: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #76: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp15-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #77: input, references = 3, size of lhs = 2:
% 1.06/1.27 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #78: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #79: input, references = 3, size of lhs = 2:
% 1.06/1.27 pppp16-{F}(V0), empty-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #80: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #81: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp17-{F}(V0) | one_to_one-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #82: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp17-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #83: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp17-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #84: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #85: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp18-{F}(V0) | ordinal-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #86: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp18-{F}(V0) | epsilon_connected-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #87: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp18-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #88: input, references = 3, size of lhs = 2:
% 1.06/1.27 pppp18-{F}(V0), empty-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #89: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #90: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp19-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #91: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp19-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #92: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #93: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp20-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #94: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp20-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #95: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp20-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #96: input, references = 3, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #97: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp21-{F}(V0) | function-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #98: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp21-{F}(V0) | relation_non_empty-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #99: input, references = 3, size of lhs = 1:
% 1.06/1.27 pppp21-{F}(V0) | relation-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #100: input, references = 3, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #101: input, references = 3, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #102: input, references = 4, size of lhs = 4:
% 1.06/1.27 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2 | in-{T}(V1,V2), in-{T}(V2,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #103: input, references = 4, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #104: input, references = 4, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #105: input, references = 4, size of lhs = 2:
% 1.06/1.27 pppp22-{F}(V0), ordinal-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #106: input, references = 4, size of lhs = 2:
% 1.06/1.27 pppp22-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #107: input, references = 5, size of lhs = 2:
% 1.06/1.27 pppp22-{F}(V0), in-{F}(V1,V0) | ordinal-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #108: input, references = 4, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #109: input, references = 6, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #110: input, references = 8, size of lhs = 4:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #111: input, references = 3, size of lhs = 5:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #112: input, references = 7, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #113: input, references = 3, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #114: input, references = 7, size of lhs = 4:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #115: input, references = 4, size of lhs = 0:
% 1.06/1.27 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #116: input, references = 5, size of lhs = 1:
% 1.06/1.27 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 number of initial rules = 117
% 1.06/1.27
% 1.06/1.27 Simplifiers:
% 1.06/1.27 #117: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #118: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #119: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #120: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #121: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #122: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #123: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #124: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #125: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #126: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #127: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #128: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #129: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #130: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #131: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #132: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #133: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #134: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #135: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #136: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #137: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #138: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #139: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #140: unsound, references = 3, size of lhs = 3:
% 1.06/1.27 pppp22-{F}(V0), pppp22-{F}(V1), V0 == V1 | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 number of simplifiers = 24
% 1.06/1.27
% 1.06/1.27 Learnt:
% 1.06/1.27 #146: mergings( V0 == V2; #143 ), references = 1, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | pppp12-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #148: mergings( V0 == V2; #144 ), references = 1, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1) | pppp12-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #154: mergings( V0 == V2; #151 ), references = 1, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #156: mergings( V0 == V2; #152 ), references = 1, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #161: mergings( V0 == V3; #157 ), references = 4, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #164: mergings( V0 == V3, V2 == V3; #158 ), references = 1, size of lhs = 4:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #166: mergings( V2 == V0; #159 ), references = 1, size of lhs = 3:
% 1.06/1.27 P_empty_set-{F}(V0), pppp18-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #175: mergings( V0 == V2; #172 ), references = 1, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #177: mergings( V0 == V2; #173 ), references = 1, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #187: mergings( V0 == V2; #184 ), references = 1, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #189: mergings( V0 == V2; #185 ), references = 1, size of lhs = 2:
% 1.06/1.27 P_empty_set-{F}(V0), empty-{F}(V1) | pppp14-{T}(V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #224: mergings( V2 == V3, V3 == V4, V4 == V5; #220 ), references = 2, size of lhs = 7:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp3-{F}(V1,V4), in-{F}(V4,V5), in-{F}(V5,V6), subset-{F}(V6,V3) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #230: mergings( V1 == V2, V2 == V3, V3 == V4; #226 ), references = 1, size of lhs = 7:
% 1.06/1.27 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), pppp3-{F}(V1,V4), in-{F}(V4,V5), in-{F}(V5,V6), in-{F}(V6,V3) | pppp23-{T}(V3)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #290: mergings( V2 == V3, V3 == V4; #286 ), references = 1, size of lhs = 5:
% 1.06/1.27 P_empty_set-{F}(V0), subset-{F}(V1,V2), V2 == V0, in-{F}(V3,V1), pppp4-{F}(V4,V2,V3) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #294: mergings( V2 == V3, V3 == V4, V4 == V5; #287 ), references = 1, size of lhs = 9:
% 1.06/1.27 P_empty_set-{F}(V0), pppp3-{F}(V1,V2), in-{F}(V2,V3), subset-{F}(V3,V4), V4 == V0, in-{F}(V4,V5), subset-{F}(V5,V6), P_powerset-{F}(V1,V7), P_powerset-{F}(V7,V6) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #329: mergings( V3 == V4; #327 ), references = 1, size of lhs = 8:
% 1.06/1.27 pppp1-{F}(V0), in-{F}(V1,V0), in-{F}(V2,V0), V2 == V1, P_empty_set-{F}(V3), V1 == V3, P_powerset-{F}(V1,V4), element-{F}(V2,V4) | in-{T}(V2,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #423: disj( #102, input ), references = 1, size of lhs = 5:
% 1.06/1.27 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2, pppp4-{F}(V3,V2,V1) | in-{T}(V1,V2)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #425: mergings( V0 == V3; #421 ), references = 1, size of lhs = 5:
% 1.06/1.27 ordinal-{F}(V0), empty-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2) | in-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #427: mergings( V0 == V3; #422 ), references = 1, size of lhs = 7:
% 1.06/1.27 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), element-{F}(V0,V4) | in-{T}(V0,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #438: exists( #22, #434 ), references = 2, size of lhs = 4:
% 1.06/1.27 pppp22-{F}(V0), pppp5-{F}(V0,V1), ordinal-{F}(V1), P_empty_set-{F}(V2) | pppp4-{T}(V0,V1,V1)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #444: exists( #21, #442 ), references = 1, size of lhs = 3:
% 1.06/1.27 pppp24-{F}(V0), pppp22-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #446: disj( #20, exists( #21, #442 ) ), references = 1, size of lhs = 2:
% 1.06/1.27 pppp22-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #454: exists( #14, #452 ), references = 1, size of lhs = 2:
% 1.06/1.27 pppp23-{F}(V0), pppp22-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #456: disj( #13, exists( #14, #452 ) ), references = 1, size of lhs = 1:
% 1.06/1.27 pppp22-{F}(V0) | pppp0-{T}(V0)
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #464: mergings( V0 == V2; #462 ), references = 1, size of lhs = 1:
% 1.06/1.27 P_empty_set-{F}(V0) | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 #466: exists( #115, #462 ), references = 1, size of lhs = 0:
% 1.06/1.27 FALSE | FALSE
% 1.06/1.27 (used 0 times, uses = {})
% 1.06/1.27
% 1.06/1.27 number of learnt formulas = 26
% 1.06/1.27
% 1.06/1.27
% 1.06/1.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.27
% 1.06/1.27 randbase = 1
%------------------------------------------------------------------------------