TSTP Solution File: NUM412+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 1.38s 1.57s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 23:46:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.38/1.57 GeoParameters:
% 1.38/1.57
% 1.38/1.57 tptp_input = 1
% 1.38/1.57 tptp_output = 0
% 1.38/1.57 nonempty = 1
% 1.38/1.57 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.38/1.57
% 1.38/1.57
% 1.38/1.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57
% 1.38/1.57 RuleSystem INPUT:
% 1.38/1.57
% 1.38/1.57 Initial Rules:
% 1.38/1.57 #0: input, references = 3, size of lhs = 2:
% 1.38/1.57 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #1: input, references = 3, size of lhs = 1:
% 1.38/1.57 empty-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #2: input, references = 3, size of lhs = 1:
% 1.38/1.57 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #3: input, references = 3, size of lhs = 1:
% 1.38/1.57 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #4: input, references = 3, size of lhs = 1:
% 1.38/1.57 empty-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #5: input, references = 3, size of lhs = 3:
% 1.38/1.57 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #6: input, references = 3, size of lhs = 2:
% 1.38/1.57 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #7: input, references = 3, size of lhs = 1:
% 1.38/1.57 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #8: input, references = 3, size of lhs = 1:
% 1.38/1.57 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #9: input, references = 3, size of lhs = 1:
% 1.38/1.57 empty-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #10: input, references = 7, size of lhs = 5:
% 1.38/1.57 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)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #11: input, references = 3, size of lhs = 5:
% 1.38/1.57 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)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #12: input, references = 8, size of lhs = 6:
% 1.38/1.57 P_relation_rng-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_tseq_dom_restriction-{F}(V0,V2,V3), ordinal-{F}(V2) | transfinite_sequence_of-{T}(V3,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #13: input, references = 3, size of lhs = 2:
% 1.38/1.57 relation-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #14: input, references = 7, size of lhs = 1:
% 1.38/1.57 transfinite_sequence_of-{F}(V0,V1) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #15: input, references = 7, size of lhs = 1:
% 1.38/1.57 transfinite_sequence_of-{F}(V0,V1) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #16: input, references = 7, size of lhs = 1:
% 1.38/1.57 transfinite_sequence_of-{F}(V0,V1) | transfinite_sequence-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #17: input, references = 3, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #18: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp0-{F}(V0,V1) | transfinite_sequence_of-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #19: input, references = 5, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #20: input, references = 7, size of lhs = 1:
% 1.38/1.57 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #21: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #22: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #23: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #24: input, references = 3, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #25: input, references = 3, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation_empty_yielding-{T}(V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #26: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #27: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #28: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #29: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #30: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #31: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #32: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #33: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #34: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #35: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp2-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #36: input, references = 3, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #37: input, references = 3, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #38: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #39: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #40: input, references = 3, size of lhs = 5:
% 1.38/1.57 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)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #41: input, references = 6, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #42: input, references = 5, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #43: input, references = 3, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #44: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #45: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp3-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #46: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp3-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #47: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #48: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp4-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #49: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #50: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #51: input, references = 4, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #52: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp5-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #53: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp5-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #54: input, references = 4, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #55: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp6-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #56: input, references = 4, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #57: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp7-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #58: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp7-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #59: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp7-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #60: input, references = 4, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #61: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp9-{F}(V0) | pppp8-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #62: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #63: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #64: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #65: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #66: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #67: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #68: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp8-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #69: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #70: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp10-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #71: input, references = 3, size of lhs = 2:
% 1.38/1.57 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #72: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #73: input, references = 4, size of lhs = 2:
% 1.38/1.57 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #74: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #75: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #76: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp12-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #77: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp12-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #78: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #79: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp13-{F}(V0) | ordinal-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #80: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #81: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #82: input, references = 3, size of lhs = 2:
% 1.38/1.57 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #83: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #84: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #85: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp14-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #86: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #87: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp15-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #88: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #89: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp15-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #90: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #91: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp16-{F}(V0) | transfinite_sequence-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #92: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp16-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #93: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp16-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #94: input, references = 3, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #95: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp17-{F}(V0) | function-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #96: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp17-{F}(V0) | relation_non_empty-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #97: input, references = 3, size of lhs = 1:
% 1.38/1.57 pppp17-{F}(V0) | relation-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #98: input, references = 6, size of lhs = 8:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), P_tseq_dom_restriction-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V1,V2,V4), ordinal-{F}(V2), V3 == V4 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #99: input, references = 3, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #100: input, references = 3, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #101: input, references = 7, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #102: input, references = 3, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #103: input, references = 9, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #104: input, references = 4, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), subset-{F}(V1,V2), transfinite_sequence_of-{F}(V3,V1) | transfinite_sequence_of-{T}(V3,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #105: input, references = 4, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #106: input, references = 4, size of lhs = 1:
% 1.38/1.57 pppp20-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #107: input, references = 5, size of lhs = 1:
% 1.38/1.57 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #108: input, references = 4, size of lhs = 1:
% 1.38/1.57 pppp19-{F}(V0,V1) | transfinite_sequence_of-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #109: input, references = 6, size of lhs = 3:
% 1.38/1.57 pppp18-{F}(V0,V1,V2), P_tseq_dom_restriction-{F}(V1,V2,V3), transfinite_sequence_of-{F}(V3,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #110: input, references = 9, size of lhs = 2:
% 1.38/1.57 pppp18-{F}(V0,V1,V2), P_tseq_dom_restriction-{F}(V1,V2,V3) | ordinal-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #111: input, references = 6, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #112: input, references = 4, size of lhs = 5:
% 1.38/1.57 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #113: input, references = 12, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #114: input, references = 4, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #115: input, references = 12, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #116: input, references = 6, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #117: input, references = 10, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_tseq_dom_restriction-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #118: input, references = 6, size of lhs = 2:
% 1.38/1.57 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #119: input, references = 4, size of lhs = 0:
% 1.38/1.57 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #120: input, references = 4, size of lhs = 1:
% 1.38/1.57 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of initial rules = 121
% 1.38/1.57
% 1.38/1.57 Simplifiers:
% 1.38/1.57 #121: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #122: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #123: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_tseq_dom_restriction-{F}(V0,V1,V2), P_tseq_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #124: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #125: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #126: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #127: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #128: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #129: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #130: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #131: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #132: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #133: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #134: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #135: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #136: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #137: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #138: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #139: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #140: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #141: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #142: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #143: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #144: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #145: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #146: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V5), V1 == V4 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #147: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #148: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #149: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V0 == V2 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #150: unsound, references = 3, size of lhs = 3:
% 1.38/1.57 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of simplifiers = 30
% 1.38/1.57
% 1.38/1.57 Learnt:
% 1.38/1.57 #164: mergings( V0 == V2; #161 ), references = 1, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #166: mergings( V0 == V2; #162 ), references = 1, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #178: mergings( V0 == V2; #175 ), references = 1, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #180: mergings( V0 == V2; #176 ), references = 1, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #188: mergings( V0 == V2; #185 ), references = 1, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #190: mergings( V0 == V2; #186 ), references = 1, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #215: mergings( V2 == V3; #212 ), references = 1, size of lhs = 2:
% 1.38/1.57 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #217: mergings( V2 == V3; #213 ), references = 1, size of lhs = 3:
% 1.38/1.57 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #227: mergings( V0 == V2; #224 ), references = 1, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #229: mergings( V0 == V2; #225 ), references = 1, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #234: exists( #118, #98 ), references = 1, size of lhs = 6:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), ordinal-{F}(V2), P_tseq_dom_restriction-{F}(V1,V2,V3) | P_relation_dom_restriction-{T}(V1,V2,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #236: disj( #101, input ), references = 4, size of lhs = 2:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #248: mergings( V0 == V3; #246 ), references = 4, size of lhs = 5:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #285: mergings( V0 == V3, V3 == V4, V4 == V5; #279 ), references = 1, size of lhs = 5:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, P_powerset-{F}(V1,V3), element-{F}(V2,V3) | empty-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #290: mergings( V0 == V3, V3 == V4, V4 == V5, V1 == V5; #280 ), references = 1, size of lhs = 6:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V0,V2), P_powerset-{F}(V0,V3), element-{F}(V2,V3) | empty-{T}(V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #296: mergings( V0 == V3, V3 == V4, V4 == V5, V6 == V7, V1 == V5; #281 ), references = 1, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V0,V1), P_powerset-{F}(V0,V2), element-{F}(V1,V2) | empty-{T}(V1)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #311: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #303 ), references = 1, size of lhs = 5:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, V2 == V0, subset-{F}(V2,V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #318: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V9 == V7; #304 ), references = 1, size of lhs = 6:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, subset-{F}(V0,V2), V2 == V0, element-{F}(V2,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #324: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V7 == V6; #305 ), references = 1, size of lhs = 5:
% 1.38/1.57 P_empty_set-{F}(V0), pppp11-{F}(V0), subset-{F}(V0,V1), V1 == V0, element-{F}(V1,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #348: mergings( V0 == V3; #344 ), references = 2, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #351: mergings( V0 == V3, V2 == V3; #345 ), references = 1, size of lhs = 4:
% 1.38/1.57 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #353: mergings( V2 == V0; #346 ), references = 1, size of lhs = 3:
% 1.38/1.57 P_empty_set-{F}(V0), pppp11-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #397: mergings( V2 == V5; #393 ), references = 2, size of lhs = 5:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #400: mergings( V2 == V5, V0 == V5; #395 ), references = 2, size of lhs = 6:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #412: mergings( V3 == V4, V4 == V7; #407 ), references = 4, size of lhs = 8:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #416: mergings( V3 == V4, V4 == V5, V5 == V8; #408 ), references = 1, size of lhs = 8:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #419: mergings( V3 == V4, V4 == V7; #409 ), references = 1, size of lhs = 9:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4), empty-{F}(V5) | P_relation_rng-{T}(V0,V5)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #455: mergings( V6 == V7, V7 == V8; #450 ), references = 4, size of lhs = 10:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), ordinal-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4), empty-{F}(V5), P_empty_set-{F}(V5) | P_tseq_dom_restriction-{T}(V0,V2,V5)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #458: mergings( V6 == V7, V7 == V8; #451 ), references = 1, size of lhs = 11:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), ordinal-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4), empty-{F}(V5), P_empty_set-{F}(V5), empty-{F}(V6) | P_tseq_dom_restriction-{T}(V0,V2,V6)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #464: mergings( V6 == V7, V7 == V10, V10 == V4, V4 == V8, V5 == V9; #452 ), references = 1, size of lhs = 10:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), ordinal-{F}(V2), P_powerset-{F}(V1,V3), empty-{F}(V4), P_powerset-{F}(V4,V3), P_empty_set-{F}(V4), element-{F}(V4,V3) | P_tseq_dom_restriction-{T}(V0,V2,V4)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #468: exists( #19, #466 ), references = 1, size of lhs = 3:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp1-{T}(V1,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #492: exists( #117, #490 ), references = 3, size of lhs = 8:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), P_tseq_dom_restriction-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V1,V2,V4), V3 == V4, pppp18-{F}(V5,V6,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #494: exists( #118, #491 ), references = 1, size of lhs = 6:
% 1.38/1.57 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), P_tseq_dom_restriction-{F}(V1,V2,V3), pppp18-{F}(V4,V5,V2) | P_relation_dom_restriction-{T}(V1,V2,V3)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #509: mergings( V8 == V9, V3 == V0; #506 ), references = 1, size of lhs = 11:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), empty-{F}(V4), P_empty_set-{F}(V4), transfinite_sequence_of-{F}(V4,V5), pppp18-{F}(V5,V0,V6) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #511: exists( #107, #506 ), references = 1, size of lhs = 11:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), empty-{F}(V4), P_empty_set-{F}(V4), transfinite_sequence_of-{F}(V4,V5), pppp19-{F}(V5,V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #532: mergings( V5 == V6; #529 ), references = 1, size of lhs = 12:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), transfinite_sequence-{F}(V3), P_relation_rng-{F}(V3,V4), P_powerset-{F}(V4,V1), P_relation_dom_restriction-{F}(V3,V5,V6), V2 == V6, pppp18-{F}(V7,V8,V5) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #536: mergings( V5 == V6, V10 == V11, V0 == V12; #530 ), references = 1, size of lhs = 12:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), transfinite_sequence-{F}(V3), P_relation_rng-{F}(V3,V4), P_powerset-{F}(V4,V1), P_relation_dom_restriction-{F}(V3,V5,V6), V2 == V6, pppp18-{F}(V7,V8,V5) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #545: mergings( V3 == V6, V6 == V7, V9 == V11, V10 == V12; #539 ), references = 1, size of lhs = 10:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), transfinite_sequence-{F}(V3), P_relation_rng-{F}(V3,V4), P_powerset-{F}(V4,V1), pppp18-{F}(V5,V6,V7) | P_tseq_dom_restriction-{T}(V3,V7,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #552: mergings( V3 == V6, V6 == V7, V9 == V11, V10 == V12, V11 == V13, V12 == V14; #540 ), references = 1, size of lhs = 10:
% 1.38/1.57 empty-{F}(V0), P_powerset-{F}(V0,V1), empty-{F}(V2), P_empty_set-{F}(V2), relation-{F}(V3), function-{F}(V3), transfinite_sequence-{F}(V3), P_relation_rng-{F}(V3,V4), P_powerset-{F}(V4,V1), pppp18-{F}(V5,V6,V7) | P_tseq_dom_restriction-{T}(V3,V7,V2)
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #566: mergings( V3 == V4; #564 ), references = 1, size of lhs = 5:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), pppp18-{F}(V1,V0,V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #582: mergings( V5 == V6; #580 ), references = 1, size of lhs = 7:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_relation_rng-{F}(V0,V1), P_empty_set-{F}(V2), subset-{F}(V1,V3), pppp18-{F}(V3,V0,V4) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #586: mergings( V2 == V5; #584 ), references = 1, size of lhs = 6:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), P_empty_set-{F}(V2), pppp18-{F}(V1,V0,V3) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #588: exists( #107, #584 ), references = 1, size of lhs = 6:
% 1.38/1.57 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), pppp19-{F}(V1,V0), P_empty_set-{F}(V2) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #594: exists( #106, #592 ), references = 1, size of lhs = 2:
% 1.38/1.57 pppp20-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #597: mergings( V0 == V2; #595 ), references = 1, size of lhs = 1:
% 1.38/1.57 P_empty_set-{F}(V0) | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 #599: exists( #119, #595 ), references = 1, size of lhs = 0:
% 1.38/1.57 FALSE | FALSE
% 1.38/1.57 (used 0 times, uses = {})
% 1.38/1.57
% 1.38/1.57 number of learnt formulas = 46
% 1.38/1.57
% 1.38/1.57
% 1.38/1.57 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.38/1.57
% 1.38/1.57 randbase = 1
%------------------------------------------------------------------------------