TSTP Solution File: SEU235+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 1.27s 1.44s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU235+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 : n005.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 18:32:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.27/1.44 GeoParameters:
% 1.27/1.44
% 1.27/1.44 tptp_input = 1
% 1.27/1.44 tptp_output = 0
% 1.27/1.44 nonempty = 1
% 1.27/1.44 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/1.44 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.27/1.44
% 1.27/1.44
% 1.27/1.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/1.44 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/1.44
% 1.27/1.44 RuleSystem INPUT:
% 1.27/1.44
% 1.27/1.44 Initial Rules:
% 1.27/1.44 #0: input, references = 4, size of lhs = 2:
% 1.27/1.44 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #1: input, references = 3, size of lhs = 1:
% 1.27/1.44 empty-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #2: input, references = 6, size of lhs = 1:
% 1.27/1.44 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #3: input, references = 3, size of lhs = 1:
% 1.27/1.44 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #4: input, references = 3, size of lhs = 1:
% 1.27/1.44 empty-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #5: input, references = 3, size of lhs = 3:
% 1.27/1.44 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #6: input, references = 3, size of lhs = 2:
% 1.27/1.44 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #7: input, references = 3, size of lhs = 1:
% 1.27/1.44 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #8: input, references = 3, size of lhs = 1:
% 1.27/1.44 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #9: input, references = 4, size of lhs = 1:
% 1.27/1.44 empty-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #10: input, references = 3, size of lhs = 2:
% 1.27/1.44 ordinal-{F}(V0), ordinal-{F}(V1) | ordinal_subset-{T}(V1,V0), ordinal_subset-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #11: input, references = 6, size of lhs = 1:
% 1.27/1.44 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #12: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #13: input, references = 7, size of lhs = 2:
% 1.27/1.44 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #14: input, references = 3, size of lhs = 1:
% 1.27/1.44 #-{F} V0 | pppp0-{T}(V0), pppp22-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #15: input, references = 4, size of lhs = 1:
% 1.27/1.44 pppp22-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #16: input, references = 4, size of lhs = 2:
% 1.27/1.44 pppp1-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #17: input, references = 4, size of lhs = 1:
% 1.27/1.44 pppp1-{F}(V0,V1) | in-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #18: input, references = 5, size of lhs = 1:
% 1.27/1.44 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #19: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #20: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #21: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #22: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #23: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #24: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #25: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #26: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #27: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #28: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #29: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #30: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #31: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #32: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp3-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #33: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #34: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #35: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #36: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp4-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #37: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp4-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #38: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #39: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp5-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #40: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp5-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #41: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp5-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #42: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #43: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp6-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #44: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp6-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #45: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #46: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp7-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #47: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #48: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp8-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #49: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp8-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #50: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp8-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #51: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #52: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp10-{F}(V0) | pppp9-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #53: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #54: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #55: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #56: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #57: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #58: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #59: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp9-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #60: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #61: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp11-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #62: input, references = 3, size of lhs = 2:
% 1.27/1.44 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #63: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #64: input, references = 3, size of lhs = 2:
% 1.27/1.44 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #65: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #66: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #67: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp13-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #68: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp13-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #69: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #70: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp14-{F}(V0) | ordinal-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #71: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp14-{F}(V0) | epsilon_connected-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #72: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp14-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #73: input, references = 3, size of lhs = 2:
% 1.27/1.44 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #74: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #75: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #76: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp15-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #77: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #78: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp16-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #79: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp16-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #80: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp16-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #81: input, references = 3, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #82: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp17-{F}(V0) | function-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #83: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp17-{F}(V0) | relation_non_empty-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #84: input, references = 3, size of lhs = 1:
% 1.27/1.44 pppp17-{F}(V0) | relation-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #85: input, references = 3, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), ordinal_subset-{F}(V2,V1) | subset-{T}(V2,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #86: input, references = 6, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), subset-{F}(V2,V1) | ordinal_subset-{T}(V2,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #87: input, references = 4, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2) | ordinal_subset-{T}(V2,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #88: input, references = 3, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #89: input, references = 5, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #90: input, references = 6, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), in-{F}(V2,V1) | ordinal-{T}(V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #91: input, references = 6, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2 | in-{T}(V1,V2), in-{T}(V2,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #92: input, references = 4, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #93: input, references = 4, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #94: input, references = 4, size of lhs = 1:
% 1.27/1.44 pppp20-{F}(V0,V1) | EXISTS V2: pppp19-{T}(V0,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #95: input, references = 6, size of lhs = 3:
% 1.27/1.44 pppp20-{F}(V0,V1), ordinal-{F}(V2), in-{F}(V2,V0) | EXISTS V3: pppp18-{T}(V0,V2,V3)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #96: input, references = 4, size of lhs = 1:
% 1.27/1.44 pppp20-{F}(V1,V1) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #97: input, references = 5, size of lhs = 1:
% 1.27/1.44 pppp19-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #98: input, references = 4, size of lhs = 1:
% 1.27/1.44 pppp19-{F}(V0,V1) | ordinal-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #99: input, references = 8, size of lhs = 2:
% 1.27/1.44 pppp18-{F}(V0,V1,V2), ordinal_subset-{F}(V1,V2) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #100: input, references = 7, size of lhs = 1:
% 1.27/1.44 pppp18-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #101: input, references = 8, size of lhs = 1:
% 1.27/1.44 pppp18-{F}(V0,V1,V2) | ordinal-{T}(V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #102: input, references = 3, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #103: input, references = 5, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #104: input, references = 8, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #105: input, references = 6, size of lhs = 5:
% 1.27/1.44 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #106: input, references = 7, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #107: input, references = 3, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #108: input, references = 5, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), in-{F}(V3,V1) | EXISTS V2: pppp21-{T}(V1,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #109: input, references = 6, size of lhs = 3:
% 1.27/1.44 pppp21-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V1) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #110: input, references = 6, size of lhs = 1:
% 1.27/1.44 pppp21-{F}(V0,V1) | in-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #111: input, references = 7, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #112: input, references = 4, size of lhs = 0:
% 1.27/1.44 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #113: input, references = 5, size of lhs = 1:
% 1.27/1.44 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 number of initial rules = 114
% 1.27/1.44
% 1.27/1.44 Simplifiers:
% 1.27/1.44 #114: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #115: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #116: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #117: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #118: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #119: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #120: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #121: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #122: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #123: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #124: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #125: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #126: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #127: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #128: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #129: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #130: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #131: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #132: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #133: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #134: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #135: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #136: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp20-{F}(V0,V1), pppp20-{F}(V2,V1), V0 == V2 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #137: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp20-{F}(V0,V1), pppp20-{F}(V2,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #138: unsound, references = 3, size of lhs = 3:
% 1.27/1.44 pppp21-{F}(V0,V1), pppp21-{F}(V0,V3), V1 == V3 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 number of simplifiers = 25
% 1.27/1.44
% 1.27/1.44 Learnt:
% 1.27/1.44 #144: mergings( V0 == V2; #141 ), references = 1, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #146: mergings( V0 == V2; #142 ), references = 1, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #154: mergings( V0 == V2; #151 ), references = 1, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #156: mergings( V0 == V2; #152 ), references = 1, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #161: mergings( V0 == V3; #157 ), references = 6, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #164: mergings( V0 == V3, V2 == V3; #158 ), references = 1, size of lhs = 4:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #166: mergings( V2 == V0; #159 ), references = 1, size of lhs = 3:
% 1.27/1.44 P_empty_set-{F}(V0), pppp12-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #177: exists( #15, #175 ), references = 1, size of lhs = 2:
% 1.27/1.44 pppp22-{F}(V0), pppp0-{F}(V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #217: mergings( V0 == V3, V3 == V4; #214 ), references = 3, size of lhs = 7:
% 1.27/1.44 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V1), in-{F}(V4,V0) | in-{T}(V1,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #251: mergings( V2 == V4; #249 ), references = 1, size of lhs = 9:
% 1.27/1.44 ordinal-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2), V0 == V2, empty-{F}(V3), P_powerset-{F}(V3,V1), in-{F}(V1,V4), pppp21-{F}(V4,V0) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #266: mergings( V0 == V3; #263 ), references = 5, size of lhs = 5:
% 1.27/1.44 ordinal-{F}(V0), empty-{F}(V0), ordinal-{F}(V1), V0 == V1, P_empty_set-{F}(V2) | in-{T}(V0,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #268: mergings( V0 == V3; #264 ), references = 1, size of lhs = 7:
% 1.27/1.44 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)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #280: mergings( V0 == V4, V4 == V6; #276 ), references = 1, size of lhs = 6:
% 1.27/1.44 ordinal-{F}(V0), in-{F}(V1,V0), ordinal-{F}(V2), empty-{F}(V2), in-{F}(V2,V0), P_empty_set-{F}(V3) | pppp21-{T}(V0,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #285: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V8; #277 ), references = 1, size of lhs = 7:
% 1.27/1.44 ordinal-{F}(V0), in-{F}(V1,V0), ordinal-{F}(V2), empty-{F}(V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V0) | pppp21-{T}(V0,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #292: mergings( V0 == V2; #289 ), references = 1, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #294: mergings( V0 == V2; #290 ), references = 1, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #303: mergings( V0 == V2; #300 ), references = 1, size of lhs = 1:
% 1.27/1.44 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #305: mergings( V0 == V2; #301 ), references = 1, size of lhs = 2:
% 1.27/1.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #322: mergings( V4 == V5; #319 ), references = 2, size of lhs = 5:
% 1.27/1.44 empty-{F}(V0), ordinal-{F}(V0), in-{F}(V0,V1), pppp20-{F}(V1,V2), P_empty_set-{F}(V3) | pppp18-{T}(V1,V0,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #379: mergings( V5 == V6, V6 == V8; #376 ), references = 1, size of lhs = 8:
% 1.27/1.44 ordinal-{F}(V0), empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), ordinal-{F}(V2), in-{F}(V2,V3), pppp20-{F}(V3,V4), P_empty_set-{F}(V5) | pppp18-{T}(V3,V2,V0), pppp18-{T}(V3,V2,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #387: mergings( V1 == V2, V2 == V7, V7 == V8, V6 == V9; #382 ), references = 1, size of lhs = 9:
% 1.27/1.44 empty-{F}(V0), P_powerset-{F}(V0,V1), ordinal-{F}(V1), in-{F}(V1,V2), empty-{F}(V3), ordinal-{F}(V3), ordinal_subset-{F}(V3,V3), P_empty_set-{F}(V4), pppp20-{F}(V2,V5) | pppp18-{T}(V2,V1,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #487: disj( #91, input ), references = 1, size of lhs = 6:
% 1.27/1.44 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2, in-{F}(V2,V3), pppp21-{F}(V3,V1) | in-{T}(V1,V2)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #511: mergings( V4 == V5; #507 ), references = 2, size of lhs = 5:
% 1.27/1.44 ordinal-{F}(V0), in-{F}(V0,V1), pppp21-{F}(V1,V0), pppp20-{F}(V1,V2), P_empty_set-{F}(V3) | pppp18-{T}(V1,V0,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #515: mergings( V4 == V5, V5 == V7, V7 == V8; #508 ), references = 1, size of lhs = 10:
% 1.27/1.44 ordinal-{F}(V0), in-{F}(V0,V1), pppp20-{F}(V1,V2), ordinal-{F}(V3), pppp21-{F}(V1,V3), P_empty_set-{F}(V4), V3 == V4, P_powerset-{F}(V3,V5), P_powerset-{F}(V5,V6), element-{F}(V1,V6) | pppp18-{T}(V1,V0,V3)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #519: mergings( V4 == V5, V5 == V7, V7 == V8; #509 ), references = 1, size of lhs = 12:
% 1.27/1.44 ordinal-{F}(V0), in-{F}(V0,V1), pppp20-{F}(V1,V2), ordinal-{F}(V3), pppp21-{F}(V1,V3), P_empty_set-{F}(V4), in-{F}(V3,V5), pppp21-{F}(V5,V6), V6 == V4, P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), element-{F}(V1,V8) | pppp18-{T}(V1,V0,V3)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #535: mergings( V0 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11; #529 ), references = 1, size of lhs = 8:
% 1.27/1.44 ordinal-{F}(V0), P_powerset-{F}(V0,V1), ordinal-{F}(V2), P_empty_set-{F}(V3), V0 == V3, element-{F}(V4,V1), in-{F}(V5,V4), pppp20-{F}(V4,V6) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #544: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #537 ), references = 1, size of lhs = 7:
% 1.27/1.44 ordinal-{F}(V0), ordinal-{F}(V1), P_empty_set-{F}(V2), V0 == V2, subset-{F}(V3,V0), in-{F}(V4,V3), pppp20-{F}(V3,V5) | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #555: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V1 == V12; #547 ), references = 1, size of lhs = 4:
% 1.27/1.44 ordinal-{F}(V0), P_empty_set-{F}(V1), in-{F}(V2,V3), pppp20-{F}(V3,V4) | pppp19-{T}(V3,V1)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #572: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V15 == V16; #561 ), references = 1, size of lhs = 7:
% 1.27/1.44 ordinal-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), pppp20-{F}(V4,V5), V4 == V1 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #584: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V0, V0 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V13 == V14; #573 ), references = 1, size of lhs = 5:
% 1.27/1.44 empty-{F}(V0), P_empty_set-{F}(V0), ordinal-{F}(V1), pppp20-{F}(V2,V3), V2 == V0 | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #596: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12; #585 ), references = 1, size of lhs = 3:
% 1.27/1.44 empty-{F}(V0), P_empty_set-{F}(V0), ordinal-{F}(V1) | pppp20-{T}(V0,V0)
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 #601: exists( #112, #599 ), references = 1, size of lhs = 0:
% 1.27/1.44 FALSE | FALSE
% 1.27/1.44 (used 0 times, uses = {})
% 1.27/1.44
% 1.27/1.44 number of learnt formulas = 32
% 1.27/1.44
% 1.27/1.44
% 1.27/1.44 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.27/1.44
% 1.27/1.44 randbase = 1
%------------------------------------------------------------------------------