TSTP Solution File: SEU235+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 13.87s 14.11s
% Output : Refutation 13.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU235+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 18:36:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.87/14.11 GeoParameters:
% 13.87/14.11
% 13.87/14.11 tptp_input = 1
% 13.87/14.11 tptp_output = 0
% 13.87/14.11 nonempty = 1
% 13.87/14.11 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/14.11 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 13.87/14.11
% 13.87/14.11
% 13.87/14.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/14.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/14.11
% 13.87/14.11 RuleSystem INPUT:
% 13.87/14.11
% 13.87/14.11 Initial Rules:
% 13.87/14.11 #0: input, references = 5, size of lhs = 2:
% 13.87/14.11 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1: input, references = 3, size of lhs = 1:
% 13.87/14.11 empty-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2: input, references = 5, size of lhs = 1:
% 13.87/14.11 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #3: input, references = 3, size of lhs = 1:
% 13.87/14.11 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #4: input, references = 3, size of lhs = 1:
% 13.87/14.11 empty-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #5: input, references = 3, size of lhs = 3:
% 13.87/14.11 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #6: input, references = 3, size of lhs = 2:
% 13.87/14.11 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #7: input, references = 3, size of lhs = 1:
% 13.87/14.11 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #8: input, references = 3, size of lhs = 1:
% 13.87/14.11 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #9: input, references = 4, size of lhs = 1:
% 13.87/14.11 empty-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #10: input, references = 6, size of lhs = 2:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1) | ordinal_subset-{T}(V1,V0), ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #11: input, references = 5, size of lhs = 1:
% 13.87/14.11 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #12: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #13: input, references = 8, size of lhs = 2:
% 13.87/14.11 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #14: input, references = 5, size of lhs = 1:
% 13.87/14.11 #-{F} V0 | pppp0-{T}(V0), pppp21-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #15: input, references = 4, size of lhs = 1:
% 13.87/14.11 pppp21-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #16: input, references = 5, size of lhs = 2:
% 13.87/14.11 pppp1-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #17: input, references = 4, size of lhs = 1:
% 13.87/14.11 pppp1-{F}(V0,V1) | in-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #18: input, references = 11, size of lhs = 1:
% 13.87/14.11 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #19: input, references = 13, size of lhs = 1:
% 13.87/14.11 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #20: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #21: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #22: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #23: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #24: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #25: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #26: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #27: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #28: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #29: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #30: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #31: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | relation_empty_yielding-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #32: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp3-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #33: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #34: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #35: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #36: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp4-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #37: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp4-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #38: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #39: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp5-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #40: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp5-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #41: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp5-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #42: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #43: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp6-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #44: input, references = 5, size of lhs = 1:
% 13.87/14.11 pppp6-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #45: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #46: input, references = 5, size of lhs = 1:
% 13.87/14.11 pppp7-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #47: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #48: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp8-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #49: input, references = 5, size of lhs = 1:
% 13.87/14.11 pppp8-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #50: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp8-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #51: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #52: input, references = 5, size of lhs = 1:
% 13.87/14.11 pppp10-{F}(V0) | pppp9-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #53: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #54: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #55: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #56: input, references = 5, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | empty-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #57: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #58: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #59: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp9-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #60: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #61: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp11-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #62: input, references = 3, size of lhs = 2:
% 13.87/14.11 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #63: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #64: input, references = 3, size of lhs = 2:
% 13.87/14.11 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #65: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #66: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #67: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp13-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #68: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp13-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #69: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #70: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp14-{F}(V0) | ordinal-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #71: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp14-{F}(V0) | epsilon_connected-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #72: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp14-{F}(V0) | epsilon_transitive-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #73: input, references = 3, size of lhs = 2:
% 13.87/14.11 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #74: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #75: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #76: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp15-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #77: input, references = 3, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #78: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp16-{F}(V0) | function-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #79: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp16-{F}(V0) | relation_empty_yielding-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #80: input, references = 3, size of lhs = 1:
% 13.87/14.11 pppp16-{F}(V0) | relation-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #81: input, references = 9, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), ordinal_subset-{F}(V2,V1) | subset-{T}(V2,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #82: input, references = 4, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), subset-{F}(V2,V1) | ordinal_subset-{T}(V2,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #83: input, references = 5, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2) | ordinal_subset-{T}(V2,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #84: input, references = 3, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #85: input, references = 13, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #86: input, references = 10, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), in-{F}(V2,V1) | ordinal-{T}(V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #87: input, references = 5, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2 | in-{T}(V1,V2), in-{T}(V2,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #88: input, references = 5, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #89: input, references = 4, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #90: input, references = 6, size of lhs = 1:
% 13.87/14.11 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #91: input, references = 9, size of lhs = 3:
% 13.87/14.11 pppp19-{F}(V0,V1), ordinal-{F}(V2), in-{F}(V2,V0) | EXISTS V3: pppp17-{T}(V0,V2,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #92: input, references = 4, size of lhs = 1:
% 13.87/14.11 pppp19-{F}(V1,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #93: input, references = 8, size of lhs = 1:
% 13.87/14.11 pppp18-{F}(V0,V1) | subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #94: input, references = 6, size of lhs = 1:
% 13.87/14.11 pppp18-{F}(V0,V1) | ordinal-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #95: input, references = 8, size of lhs = 2:
% 13.87/14.11 pppp17-{F}(V0,V1,V2), ordinal_subset-{F}(V1,V2) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #96: input, references = 9, size of lhs = 1:
% 13.87/14.11 pppp17-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #97: input, references = 8, size of lhs = 1:
% 13.87/14.11 pppp17-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #98: input, references = 15, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #99: input, references = 19, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #100: input, references = 21, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #101: input, references = 7, size of lhs = 5:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #102: input, references = 8, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #103: input, references = 3, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #104: input, references = 7, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), in-{F}(V3,V1) | EXISTS V2: pppp20-{T}(V1,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #105: input, references = 9, size of lhs = 3:
% 13.87/14.11 pppp20-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #106: input, references = 9, size of lhs = 1:
% 13.87/14.11 pppp20-{F}(V0,V1) | in-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #107: input, references = 8, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #108: input, references = 4, size of lhs = 0:
% 13.87/14.11 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #109: input, references = 13, size of lhs = 1:
% 13.87/14.11 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 number of initial rules = 110
% 13.87/14.11
% 13.87/14.11 Simplifiers:
% 13.87/14.11 #110: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #111: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #112: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #113: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #114: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #115: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #116: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #117: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #118: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #119: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #120: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #121: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #122: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #123: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #124: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #125: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #126: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #127: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #128: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp17-{F}(V0,V1,V2), pppp17-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #129: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #130: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #131: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #132: unsound, references = 3, size of lhs = 3:
% 13.87/14.11 pppp20-{F}(V0,V1), pppp20-{F}(V0,V3), V1 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 number of simplifiers = 23
% 13.87/14.11
% 13.87/14.11 Learnt:
% 13.87/14.11 #138: mergings( V0 == V2; #135 ), references = 1, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #140: mergings( V0 == V2; #136 ), references = 1, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #148: mergings( V0 == V2; #145 ), references = 1, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #150: mergings( V0 == V2; #146 ), references = 1, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #153: disj( #88, input ), references = 1, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #155: mergings( V0 == V3; #152 ), references = 3, size of lhs = 5:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #163: exists( #15, #161 ), references = 2, size of lhs = 2:
% 13.87/14.11 pppp21-{F}(V0), pppp0-{F}(V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #180: mergings( V2 == V5; #177 ), references = 9, size of lhs = 5:
% 13.87/14.11 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #183: mergings( V2 == V5, V0 == V5; #178 ), references = 1, size of lhs = 6:
% 13.87/14.11 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #193: mergings( V0 == V3; #190 ), references = 4, size of lhs = 5:
% 13.87/14.11 ordinal-{F}(V0), empty-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2) | in-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #209: exists( #18, #207 ), references = 1, size of lhs = 3:
% 13.87/14.11 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp2-{T}(V1,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #214: mergings( V0 == V3; #210 ), references = 20, size of lhs = 3:
% 13.87/14.11 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #217: mergings( V0 == V3, V2 == V3; #211 ), references = 1, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #220: mergings( V0 == V4, V2 == V4; #212 ), references = 1, size of lhs = 5:
% 13.87/14.11 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V0,V2), element-{F}(V3,V2), V3 == V0 | in-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #229: mergings( V0 == V2; #226 ), references = 1, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #231: mergings( V0 == V2; #227 ), references = 1, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #247: mergings( V0 == V2; #244 ), references = 1, size of lhs = 1:
% 13.87/14.11 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #249: mergings( V0 == V2; #245 ), references = 1, size of lhs = 2:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #282: mergings( V0 == V4, V4 == V6; #279 ), references = 1, size of lhs = 4:
% 13.87/14.11 empty-{F}(V0), P_powerset-{F}(V0,V1), in-{F}(V2,V1), P_empty_set-{F}(V3) | pppp20-{T}(V1,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #317: mergings( V4 == V6; #315 ), references = 1, size of lhs = 6:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V1), P_empty_set-{F}(V4) | pppp17-{T}(V1,V0,V4)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #376: mergings( V4 == V5; #374 ), references = 2, size of lhs = 5:
% 13.87/14.11 empty-{F}(V0), ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), P_empty_set-{F}(V3) | pppp17-{T}(V1,V0,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #410: mergings( V2 == V3, V3 == V7; #407 ), references = 1, size of lhs = 6:
% 13.87/14.11 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp2-{T}(V4,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #485: mergings( V2 == V3, V3 == V4, V4 == V5; #481 ), references = 1, size of lhs = 6:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), V1 == V0, pppp21-{F}(V2), in-{F}(V2,V3), subset-{F}(V3,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #492: mergings( V3 == V4, V4 == V5, V5 == V6; #488 ), references = 1, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), pppp21-{F}(V1), in-{F}(V1,V2), pppp19-{F}(V2,V3) | pppp18-{T}(V2,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #498: mergings( V2 == V3; #495 ), references = 3, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), empty-{F}(V1), subset-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #500: mergings( V2 == V3; #496 ), references = 1, size of lhs = 4:
% 13.87/14.11 empty-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V0), V2 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #541: mergings( V2 == V3, V3 == V4; #538 ), references = 2, size of lhs = 6:
% 13.87/14.11 P_empty_set-{F}(V0), pppp20-{F}(V1,V2), V2 == V0, V1 == V0, P_powerset-{F}(V1,V3), element-{F}(V2,V3) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #613: mergings( V2 == V3, V3 == V4; #608 ), references = 2, size of lhs = 4:
% 13.87/14.11 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, subset-{F}(V2,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #653: disj( #14, mergings( V2 == V3, V3 == V4, V4 == V5; #481 ) ), references = 1, size of lhs = 5:
% 13.87/14.11 P_empty_set-{F}(V0), ordinal-{F}(V1), V1 == V0, subset-{F}(V2,V1), in-{F}(V3,V2) | pppp0-{T}(V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #708: mergings( V2 == V3, V3 == V4; #704 ), references = 1, size of lhs = 5:
% 13.87/14.11 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, in-{F}(V2,V3), subset-{F}(V3,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #712: mergings( V2 == V3, V3 == V4, V4 == V5; #705 ), references = 1, size of lhs = 6:
% 13.87/14.11 P_empty_set-{F}(V0), subset-{F}(V1,V2), V1 == V0, V2 == V0, in-{F}(V2,V3), subset-{F}(V3,V1) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #779: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #774 ), references = 3, size of lhs = 8:
% 13.87/14.11 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), subset-{F}(V3,V4), V4 == V0, element-{F}(V4,V5), P_powerset-{F}(V1,V6), P_powerset-{F}(V6,V5) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #817: mergings( V2 == V3, V3 == V4, V4 == V5; #813 ), references = 2, size of lhs = 10:
% 13.87/14.11 pppp0-{F}(V0), P_empty_set-{F}(V1), V0 == V1, element-{F}(V0,V2), subset-{F}(V3,V0), in-{F}(V4,V3), in-{F}(V5,V4), pppp1-{F}(V6,V5), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V2) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #930: mergings( V2 == V3; #927 ), references = 1, size of lhs = 7:
% 13.87/14.11 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3), subset-{F}(V3,V4), V4 == V0, subset-{F}(V4,V5), P_powerset-{F}(V1,V5) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #932: mergings( V2 == V4; #928 ), references = 1, size of lhs = 9:
% 13.87/14.11 pppp0-{F}(V0), subset-{F}(V0,V1), P_empty_set-{F}(V2), V0 == V2, P_powerset-{F}(V3,V1), pppp1-{F}(V3,V4), in-{F}(V4,V5), in-{F}(V5,V6), subset-{F}(V6,V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #937: mergings( V1 == V2; #934 ), references = 1, size of lhs = 7:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp1-{F}(V1,V3), in-{F}(V3,V4), subset-{F}(V4,V5), V5 == V0, in-{F}(V5,V2) | pppp21-{T}(V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #939: mergings( V1 == V3; #935 ), references = 1, size of lhs = 8:
% 13.87/14.11 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), pppp1-{F}(V1,V3), in-{F}(V3,V4), in-{F}(V4,V5), subset-{F}(V5,V6), V6 == V0, subset-{F}(V6,V2) | pppp21-{T}(V6)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1012: mergings( V0 == V3; #1009 ), references = 17, size of lhs = 6:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, subset-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2 | in-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1014: mergings( V0 == V3; #1010 ), references = 1, size of lhs = 8:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), V0 == V2, subset-{F}(V1,V3), V3 == V2, subset-{F}(V3,V0) | in-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1024: mergings( V4 == V5, V5 == V6, V6 == V10; #1020 ), references = 1, size of lhs = 10:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), pppp20-{F}(V1,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V1,V5), P_empty_set-{F}(V6), V3 == V6 | pppp17-{T}(V1,V0,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1032: mergings( V2 == V6, V6 == V7, V7 == V8, V8 == V10; #1027 ), references = 1, size of lhs = 10:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), subset-{F}(V1,V2), pppp19-{F}(V1,V3), ordinal-{F}(V4), pppp20-{F}(V1,V4), ordinal_subset-{F}(V0,V4), P_powerset-{F}(V4,V2), P_empty_set-{F}(V5), V4 == V5 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1073: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V12, V12 == V13, V13 == V15; #1063 ), references = 1, size of lhs = 13:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V1,V0), ordinal-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V1,V4), empty-{F}(V5), P_powerset-{F}(V5,V2), P_empty_set-{F}(V6), V0 == V6, V1 == V6, V2 == V6 | pppp2-{T}(V0,V1), pppp2-{T}(V0,V2), pppp2-{T}(V0,V6)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1083: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V16; #1064 ), references = 1, size of lhs = 15:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), empty-{F}(V1), ordinal-{F}(V2), P_powerset-{F}(V2,V0), ordinal-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V2,V5), P_empty_set-{F}(V6), V0 == V6, V2 == V6, V3 == V6, empty-{F}(V7), P_powerset-{F}(V7,V3) | pppp2-{T}(V0,V1), pppp2-{T}(V0,V2), pppp2-{T}(V0,V3)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1158: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15; #1145 ), references = 3, size of lhs = 16:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V1,V0), ordinal-{F}(V2), P_powerset-{F}(V2,V1), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), V0 == V4, V1 == V4, V2 == V4, subset-{F}(V5,V0), in-{F}(V6,V5), V1 == V6, V2 == V6, V6 == V4 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1170: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16; #1146 ), references = 2, size of lhs = 18:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), empty-{F}(V1), ordinal-{F}(V2), P_powerset-{F}(V2,V0), ordinal-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), V0 == V4, V2 == V4, V3 == V4, empty-{F}(V5), P_powerset-{F}(V5,V3), subset-{F}(V6,V0), in-{F}(V7,V6), V1 == V7, V2 == V7, V3 == V7 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1178: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10; #1147 ), references = 4, size of lhs = 14:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2, V1 == V2, element-{F}(V1,V3), P_powerset-{F}(V4,V3), V4 == V2, pppp20-{F}(V4,V5), in-{F}(V6,V5), V1 == V6, in-{F}(V6,V7), subset-{F}(V7,V0) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1193: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V11 == V12, V12 == V13; #1184 ), references = 1, size of lhs = 12:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2, V1 == V2, element-{F}(V1,V3), P_powerset-{F}(V4,V3), V4 == V2, pppp20-{F}(V4,V5), subset-{F}(V5,V0), in-{F}(V6,V5) | pppp20-{T}(V5,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1369: mergings( V0 == V4, V4 == V5; #1366 ), references = 1, size of lhs = 5:
% 13.87/14.11 pppp0-{F}(V0), in-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2, P_powerset-{F}(V0,V3) | pppp20-{T}(V0,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1429: mergings( V2 == V3, V3 == V4, V4 == V5; #1424 ), references = 1, size of lhs = 8:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), V0 == V2, empty-{F}(V3), P_powerset-{F}(V3,V0), in-{F}(V4,V1) | ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1433: mergings( V2 == V3, V3 == V4, V4 == V6; #1425 ), references = 1, size of lhs = 8:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, empty-{F}(V2), P_powerset-{F}(V2,V0), P_empty_set-{F}(V3), V0 == V3, V1 == V3 | ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1575: mergings( V2 == V7; #1573 ), references = 1, size of lhs = 13:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V1,V0), ordinal-{F}(V2), P_powerset-{F}(V2,V1), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), V0 == V4, V1 == V4, V2 == V4, subset-{F}(V5,V0), V5 == V4 | pppp2-{T}(V5,V1), pppp2-{T}(V5,V2), pppp2-{T}(V5,V4)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1696: mergings( V4 == V5, V5 == V9, V9 == V12; #1692 ), references = 1, size of lhs = 19:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V1,V5), ordinal-{F}(V6), subset-{F}(V3,V6), ordinal-{F}(V7), P_powerset-{F}(V7,V6), P_empty_set-{F}(V8), V3 == V8, V6 == V8, V7 == V8, element-{F}(V7,V9), P_powerset-{F}(V10,V9), V10 == V8, pppp20-{F}(V10,V1) | pppp17-{T}(V1,V0,V3), pppp17-{T}(V1,V0,V7)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1701: mergings( V3 == V4, V4 == V8, V8 == V11; #1697 ), references = 1, size of lhs = 20:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), ordinal_subset-{F}(V0,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), element-{F}(V1,V5), ordinal-{F}(V6), subset-{F}(V3,V6), ordinal-{F}(V7), P_powerset-{F}(V7,V6), P_empty_set-{F}(V8), V3 == V8, V6 == V8, V7 == V8, element-{F}(V7,V9), P_powerset-{F}(V10,V9), V10 == V8, pppp20-{F}(V10,V1) | pppp17-{T}(V1,V0,V7)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1874: mergings( V2 == V3, V3 == V8; #1869 ), references = 2, size of lhs = 19:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, ordinal-{F}(V2), subset-{F}(V0,V2), ordinal-{F}(V3), V3 == V1, P_powerset-{F}(V3,V2), ordinal-{F}(V4), V4 == V1, P_powerset-{F}(V4,V3), empty-{F}(V5), P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), V0 == V6, V2 == V6, V3 == V6, V4 == V6, V1 == V6 | ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1877: mergings( V2 == V3, V3 == V8; #1870 ), references = 1, size of lhs = 21:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, ordinal-{F}(V2), subset-{F}(V0,V2), ordinal-{F}(V3), V3 == V1, empty-{F}(V3), ordinal-{F}(V4), V4 == V1, P_powerset-{F}(V4,V2), ordinal-{F}(V5), V5 == V1, P_powerset-{F}(V5,V4), P_empty_set-{F}(V6), V0 == V6, V2 == V6, V4 == V6, V5 == V6, empty-{F}(V7), P_powerset-{F}(V7,V5) | ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1880: mergings( V2 == V3, V3 == V6; #1871 ), references = 1, size of lhs = 17:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, ordinal-{F}(V2), subset-{F}(V0,V2), ordinal-{F}(V3), V3 == V1, P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), V0 == V4, V2 == V4, V3 == V4, element-{F}(V3,V5), P_powerset-{F}(V6,V5), V6 == V4, pppp20-{F}(V6,V7), in-{F}(V1,V7) | ordinal_subset-{T}(V0,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1884: exists( #91, #1882 ), references = 1, size of lhs = 16:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), subset-{F}(V0,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V3), ordinal-{F}(V5), P_powerset-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V5), P_empty_set-{F}(V7), V0 == V7, V3 == V7, V4 == V7, V5 == V7 | pppp17-{T}(V1,V0,V0), pppp17-{T}(V1,V0,V4), pppp17-{T}(V1,V0,V5), pppp17-{T}(V1,V0,V7)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1886: disj( #1883, input, input ), references = 1, size of lhs = 18:
% 13.87/14.11 ordinal-{F}(V0), ordinal_subset-{F}(V0,V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), subset-{F}(V0,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V3), ordinal_subset-{F}(V0,V4), ordinal-{F}(V5), P_powerset-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V5), P_empty_set-{F}(V7), V0 == V7, V3 == V7, V4 == V7, V5 == V7 | pppp17-{T}(V1,V0,V5), pppp17-{T}(V1,V0,V7)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1891: disj( #1885, #96+#105 ), references = 1, size of lhs = 20:
% 13.87/14.11 ordinal-{F}(V0), ordinal_subset-{F}(V0,V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), subset-{F}(V0,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V3), ordinal_subset-{F}(V0,V4), ordinal-{F}(V5), P_powerset-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V5), P_empty_set-{F}(V7), V0 == V7, V3 == V7, V4 == V7, V5 == V7, in-{F}(V5,V8), pppp20-{F}(V8,V1) | pppp17-{T}(V1,V0,V7)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #1893: mergings( V7 == V10; #1890 ), references = 1, size of lhs = 30:
% 13.87/14.11 ordinal-{F}(V0), ordinal_subset-{F}(V0,V0), in-{F}(V0,V1), pppp19-{F}(V1,V2), ordinal-{F}(V3), subset-{F}(V0,V3), ordinal-{F}(V4), P_powerset-{F}(V4,V3), ordinal_subset-{F}(V0,V4), ordinal-{F}(V5), P_powerset-{F}(V5,V4), empty-{F}(V6), P_powerset-{F}(V6,V5), ordinal-{F}(V7), ordinal-{F}(V8), V8 == V5, P_powerset-{F}(V8,V7), P_empty_set-{F}(V9), V0 == V9, V3 == V9, V4 == V9, V5 == V9, V7 == V9, V8 == V9, element-{F}(V8,V10), P_powerset-{F}(V11,V10), V11 == V9, pppp20-{F}(V11,V1), in-{F}(V5,V12), subset-{F}(V12,V7) | pppp17-{T}(V1,V0,V9)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2207: disj( #10, input ), references = 1, size of lhs = 3:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), pppp17-{F}(V2,V0,V1) | ordinal_subset-{T}(V1,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2215: mergings( V4 == V5; #2213 ), references = 1, size of lhs = 6:
% 13.87/14.11 ordinal-{F}(V0), in-{F}(V0,V1), pppp20-{F}(V1,V0), pppp19-{F}(V1,V2), P_empty_set-{F}(V3), V0 == V3 | pppp17-{T}(V1,V0,V0)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2229: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V9; #2222 ), references = 2, size of lhs = 10:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_empty_set-{F}(V2), V0 == V2, subset-{F}(V3,V0), in-{F}(V4,V3), V4 == V2, in-{F}(V4,V5), pppp20-{F}(V5,V4), pppp19-{F}(V5,V6) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2235: mergings( V0 == V6; #2233 ), references = 2, size of lhs = 7:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), P_empty_set-{F}(V2), V0 == V2, subset-{F}(V3,V0), in-{F}(V4,V3), pppp19-{F}(V3,V5) | pppp20-{T}(V3,V2)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2243: mergings( V3 == V5, V1 == V8; #2240 ), references = 1, size of lhs = 6:
% 13.87/14.11 ordinal-{F}(V0), P_empty_set-{F}(V1), in-{F}(V1,V2), pppp20-{F}(V2,V3), in-{F}(V4,V3), pppp19-{F}(V3,V5) | pppp18-{T}(V3,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2258: mergings( V2 == V3, V3 == V5, V5 == V9, V7 == V8; #2252 ), references = 1, size of lhs = 7:
% 13.87/14.11 ordinal-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), in-{F}(V1,V2), pppp20-{F}(V2,V3), V3 == V1, pppp19-{F}(V3,V4) | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2319: mergings( V4 == V5, V1 == V7, V7 == V8; #2315 ), references = 1, size of lhs = 7:
% 13.87/14.11 ordinal-{F}(V0), empty-{F}(V1), ordinal-{F}(V1), ordinal_subset-{F}(V1,V1), P_empty_set-{F}(V1), in-{F}(V2,V3), pppp19-{F}(V3,V4) | pppp18-{T}(V3,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2335: mergings( V2 == V4, V4 == V5, V5 == V6, V7 == V8, V8 == V9; #2328 ), references = 1, size of lhs = 7:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), ordinal_subset-{F}(V1,V1), empty-{F}(V1), P_empty_set-{F}(V1), pppp19-{F}(V2,V3), V2 == V1 | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2343: mergings( V0 == V2, V2 == V4, V4 == V5, V5 == V6; #2337 ), references = 1, size of lhs = 5:
% 13.87/14.11 ordinal-{F}(V0), ordinal-{F}(V1), ordinal_subset-{F}(V1,V1), empty-{F}(V1), P_empty_set-{F}(V1) | pppp19-{T}(V1,V1)
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 #2349: exists( #108, #2347 ), references = 1, size of lhs = 0:
% 13.87/14.11 FALSE | FALSE
% 13.87/14.11 (used 0 times, uses = {})
% 13.87/14.11
% 13.87/14.11 number of learnt formulas = 70
% 13.87/14.11
% 13.87/14.11
% 13.87/14.11 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.87/14.11
% 13.87/14.11 randbase = 1
%------------------------------------------------------------------------------