TSTP Solution File: NUM410+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:12:24 EDT 2022
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:17:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.61/0.83 GeoParameters:
% 0.61/0.83
% 0.61/0.83 tptp_input = 1
% 0.61/0.83 tptp_output = 0
% 0.61/0.83 nonempty = 1
% 0.61/0.83 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.61/0.83
% 0.61/0.83
% 0.61/0.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83
% 0.61/0.83 RuleSystem INPUT:
% 0.61/0.83
% 0.61/0.83 Initial Rules:
% 0.61/0.83 #0: input, references = 3, size of lhs = 2:
% 0.61/0.83 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #1: input, references = 3, size of lhs = 1:
% 0.61/0.83 empty-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #2: input, references = 3, size of lhs = 1:
% 0.61/0.83 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #3: input, references = 3, size of lhs = 1:
% 0.61/0.83 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #4: input, references = 3, size of lhs = 1:
% 0.61/0.83 empty-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #5: input, references = 3, size of lhs = 3:
% 0.61/0.83 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #6: input, references = 3, size of lhs = 2:
% 0.61/0.83 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #7: input, references = 3, size of lhs = 1:
% 0.61/0.83 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #8: input, references = 3, size of lhs = 1:
% 0.61/0.83 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #9: input, references = 3, size of lhs = 1:
% 0.61/0.83 empty-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #10: input, references = 3, size of lhs = 4:
% 0.61/0.83 P_relation_dom-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0) | ordinal-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #11: input, references = 4, size of lhs = 4:
% 0.61/0.83 P_relation_dom-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), ordinal-{F}(V1) | transfinite_sequence-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #12: input, references = 4, size of lhs = 5:
% 0.61/0.83 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V2) | subset-{T}(V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #13: input, references = 4, size of lhs = 5:
% 0.61/0.83 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), subset-{F}(V1,V2) | transfinite_sequence_of-{T}(V0,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #14: input, references = 5, size of lhs = 1:
% 0.61/0.83 transfinite_sequence_of-{F}(V0,V1) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #15: input, references = 5, size of lhs = 1:
% 0.61/0.83 transfinite_sequence_of-{F}(V0,V1) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #16: input, references = 5, size of lhs = 1:
% 0.61/0.83 transfinite_sequence_of-{F}(V0,V1) | transfinite_sequence-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #17: input, references = 4, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #18: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp0-{F}(V0,V1) | transfinite_sequence_of-{T}(V1,V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #19: input, references = 5, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #20: input, references = 6, size of lhs = 1:
% 0.61/0.83 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #21: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #22: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #23: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #24: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #25: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #26: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #27: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #28: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #29: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #30: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #31: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #32: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #33: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp2-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #34: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #35: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #36: input, references = 3, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #37: input, references = 3, size of lhs = 5:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), relation_non_empty-{F}(V1), function-{F}(V1) | with_non_empty_elements-{T}(V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #38: input, references = 5, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #39: input, references = 5, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #40: input, references = 3, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #41: input, references = 5, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #42: input, references = 3, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #43: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #44: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp3-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #45: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp3-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #46: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #47: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #48: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #49: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #50: input, references = 4, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #51: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp5-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #52: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp5-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #53: input, references = 4, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #54: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp6-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #55: input, references = 4, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #56: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp7-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #57: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp7-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #58: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp7-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #59: input, references = 4, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #60: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp9-{F}(V0) | pppp8-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #61: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #62: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #63: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #64: input, references = 5, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #65: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #66: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #67: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp8-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #68: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #69: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp10-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #70: input, references = 3, size of lhs = 2:
% 0.61/0.83 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #71: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #72: input, references = 3, size of lhs = 2:
% 0.61/0.83 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #73: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #74: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #75: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp12-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #76: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp12-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #77: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #78: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #79: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #80: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #81: input, references = 3, size of lhs = 2:
% 0.61/0.83 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #82: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #83: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #84: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp14-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #85: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #86: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp15-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #87: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #88: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp15-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #89: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #90: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp16-{F}(V0) | transfinite_sequence-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #91: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp16-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #92: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp16-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #93: input, references = 3, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #94: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp17-{F}(V0) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #95: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp17-{F}(V0) | relation_non_empty-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #96: input, references = 3, size of lhs = 1:
% 0.61/0.83 pppp17-{F}(V0) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #97: input, references = 4, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #98: input, references = 3, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #99: input, references = 5, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #100: input, references = 3, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #101: input, references = 5, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #102: input, references = 4, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #103: input, references = 4, size of lhs = 4:
% 0.61/0.83 pppp18-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), transfinite_sequence_of-{F}(V0,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #104: input, references = 4, size of lhs = 3:
% 0.61/0.83 pppp18-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | ordinal-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #105: input, references = 4, size of lhs = 3:
% 0.61/0.83 pppp18-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | function-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #106: input, references = 4, size of lhs = 3:
% 0.61/0.83 pppp18-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #107: input, references = 3, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #108: input, references = 3, size of lhs = 5:
% 0.61/0.83 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #109: input, references = 11, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #110: input, references = 3, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #111: input, references = 11, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #112: input, references = 6, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #113: input, references = 8, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #114: input, references = 4, size of lhs = 0:
% 0.61/0.83 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #115: input, references = 4, size of lhs = 1:
% 0.61/0.83 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of initial rules = 116
% 0.61/0.83
% 0.61/0.83 Simplifiers:
% 0.61/0.83 #116: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #117: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #118: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #119: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #120: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #121: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #122: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #123: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #124: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #125: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #126: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #127: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #128: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #129: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #130: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #131: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #132: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #133: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #134: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #135: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #136: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #137: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #138: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #139: unsound, references = 3, size of lhs = 3:
% 0.61/0.83 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of simplifiers = 24
% 0.61/0.83
% 0.61/0.83 Learnt:
% 0.61/0.83 #152: mergings( V2 == V3; #149 ), references = 1, size of lhs = 2:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #154: mergings( V2 == V3; #150 ), references = 1, size of lhs = 3:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #162: mergings( V0 == V2; #159 ), references = 1, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #164: mergings( V0 == V2; #160 ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #172: mergings( V0 == V2; #169 ), references = 1, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #174: mergings( V0 == V2; #170 ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #180: mergings( V0 == V2; #177 ), references = 1, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #182: mergings( V0 == V2; #178 ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #198: mergings( V0 == V2; #195 ), references = 1, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #200: mergings( V0 == V2; #196 ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #219: mergings( V2 == V3; #216 ), references = 1, size of lhs = 2:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #221: mergings( V2 == V3; #217 ), references = 1, size of lhs = 3:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #224: disj( #99, input ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #226: mergings( V0 == V3; #223 ), references = 3, size of lhs = 5:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #249: mergings( V2 == V5; #246 ), references = 2, size of lhs = 5:
% 0.61/0.83 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #252: mergings( V2 == V5, V0 == V5; #247 ), references = 1, size of lhs = 6:
% 0.61/0.83 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #259: mergings( V2 == V3, V3 == V4; #255 ), references = 2, size of lhs = 4:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V0), V2 == V1 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #263: mergings( V2 == V3, V3 == V4, V6 == V4; #256 ), references = 1, size of lhs = 5:
% 0.61/0.83 empty-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V1,V0), empty-{F}(V2), V1 == V2 | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #270: exists( #19, #268 ), references = 1, size of lhs = 3:
% 0.61/0.83 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp1-{T}(V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #275: mergings( V0 == V3; #271 ), references = 1, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #278: mergings( V0 == V3, V2 == V3; #272 ), references = 1, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #281: mergings( V0 == V3, V2 == V3; #273 ), references = 1, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), element-{F}(V1,V0), subset-{F}(V2,V0), V2 == V0 | in-{T}(V1,V0)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #289: exists( #113, #287 ), references = 1, size of lhs = 6:
% 0.61/0.83 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), empty-{F}(V1), P_empty_set-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #312: mergings( V2 == V3, V3 == V4; #308 ), references = 1, size of lhs = 3:
% 0.61/0.83 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1) | pppp0-{T}(V0,V1)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #315: mergings( V2 == V3, V3 == V4; #309 ), references = 1, size of lhs = 4:
% 0.61/0.83 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V1), empty-{F}(V2) | pppp0-{T}(V0,V2)
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #353: exists( #113, #351 ), references = 2, size of lhs = 6:
% 0.61/0.83 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), pppp18-{F}(V1), P_relation_dom-{F}(V1,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #360: mergings( V2 == V5, V0 == V4; #357 ), references = 1, size of lhs = 5:
% 0.61/0.83 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp18-{F}(V1), P_relation_dom-{F}(V1,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #362: exists( #112, #357 ), references = 2, size of lhs = 4:
% 0.61/0.83 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), pppp18-{F}(V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #395: mergings( V3 == V4; #392 ), references = 1, size of lhs = 3:
% 0.61/0.83 P_empty_set-{F}(V0), pppp18-{F}(V1), P_relation_dom-{F}(V1,V2) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #398: exists( #112, #392 ), references = 1, size of lhs = 2:
% 0.61/0.83 P_empty_set-{F}(V0), pppp18-{F}(V1) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #402: mergings( V0 == V2; #399 ), references = 1, size of lhs = 1:
% 0.61/0.83 P_empty_set-{F}(V0) | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 #405: exists( #114, #399 ), references = 1, size of lhs = 0:
% 0.61/0.83 FALSE | FALSE
% 0.61/0.83 (used 0 times, uses = {})
% 0.61/0.83
% 0.61/0.83 number of learnt formulas = 32
% 0.61/0.83
% 0.61/0.83
% 0.61/0.83 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.83
% 0.61/0.83 randbase = 1
%------------------------------------------------------------------------------