TSTP Solution File: NUM409+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM409+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 0.40s 0.58s
% Output : Refutation 0.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM409+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 : n023.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 : Sat Jul 23 00:42:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.40/0.58 GeoParameters:
% 0.40/0.58
% 0.40/0.58 tptp_input = 1
% 0.40/0.58 tptp_output = 0
% 0.40/0.58 nonempty = 1
% 0.40/0.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58
% 0.40/0.58 RuleSystem INPUT:
% 0.40/0.58
% 0.40/0.58 Initial Rules:
% 0.40/0.58 #0: input, references = 3, size of lhs = 2:
% 0.40/0.58 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #1: input, references = 4, size of lhs = 1:
% 0.40/0.58 empty-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #2: input, references = 3, size of lhs = 1:
% 0.40/0.58 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #3: input, references = 3, size of lhs = 1:
% 0.40/0.58 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #4: input, references = 3, size of lhs = 1:
% 0.40/0.58 empty-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #5: input, references = 3, size of lhs = 3:
% 0.40/0.58 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #6: input, references = 3, size of lhs = 2:
% 0.40/0.58 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #7: input, references = 3, size of lhs = 1:
% 0.40/0.58 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #8: input, references = 3, size of lhs = 1:
% 0.40/0.58 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #9: input, references = 4, size of lhs = 1:
% 0.40/0.58 empty-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #10: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #11: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_relation_dom-{F}(V0,V1), relation-{F}(V0) | pppp1-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #12: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_relation_dom-{F}(V0,V1), relation-{F}(V0), pppp1-{F}(V0,V2), V2 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #13: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp0-{T}(V0,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #14: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp1-{F}(V0,V1), pppp0-{F}(V0,V2) | in-{T}(V2,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #15: input, references = 4, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp23-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #16: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp23-{F}(V0,V1) | EXISTS V2: pppp2-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #17: input, references = 3, size of lhs = 3:
% 0.40/0.58 pppp2-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #18: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp2-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #19: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp0-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #20: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_ordered_pair-{F}(V1,V2,V3), in-{F}(V3,V0) | pppp0-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #21: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp3-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3) | in-{T}(V3,V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #22: input, references = 4, size of lhs = 5:
% 0.40/0.58 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #23: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_relation_dom-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0) | ordinal-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #24: input, references = 4, size of lhs = 4:
% 0.40/0.58 P_relation_dom-{F}(V0,V1), relation-{F}(V0), function-{F}(V0), ordinal-{F}(V1) | transfinite_sequence-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #25: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #26: input, references = 4, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #27: input, references = 3, size of lhs = 1:
% 0.40/0.58 transfinite_sequence_of-{F}(V0,V1) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #28: input, references = 3, size of lhs = 1:
% 0.40/0.58 transfinite_sequence_of-{F}(V0,V1) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #29: input, references = 3, size of lhs = 1:
% 0.40/0.58 transfinite_sequence_of-{F}(V0,V1) | transfinite_sequence-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #30: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #31: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp4-{F}(V0,V1) | transfinite_sequence_of-{T}(V1,V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #32: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: pppp5-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #33: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp5-{F}(V0,V1) | element-{T}(V1,V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #34: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #35: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #36: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #37: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #38: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #39: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #40: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #41: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #42: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #43: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #44: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | one_to_one-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #45: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #46: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #47: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp6-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #48: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #49: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #50: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #51: input, references = 3, size of lhs = 5:
% 0.40/0.58 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)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #52: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #53: input, references = 5, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #54: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #55: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #56: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #57: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #58: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp7-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #59: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp7-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #60: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #61: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp8-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #62: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #63: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #64: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #65: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp9-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #66: input, references = 5, size of lhs = 1:
% 0.40/0.58 pppp9-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #67: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #68: input, references = 5, size of lhs = 1:
% 0.40/0.58 pppp10-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #69: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #70: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp11-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #71: input, references = 5, size of lhs = 1:
% 0.40/0.58 pppp11-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #72: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp11-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #73: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #74: input, references = 5, size of lhs = 1:
% 0.40/0.58 pppp13-{F}(V0) | pppp12-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #75: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #76: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #77: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #78: input, references = 5, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #79: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #80: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #81: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp12-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #82: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #83: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp14-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #84: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #85: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #86: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #87: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #88: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp16-{F}(V0) | one_to_one-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #89: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp16-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #90: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp16-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #91: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #92: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp17-{F}(V0) | ordinal-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #93: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #94: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #95: input, references = 3, size of lhs = 2:
% 0.40/0.58 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #96: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #97: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp18-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #98: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp18-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #99: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #100: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp19-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #101: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp19-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #102: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp19-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #103: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #104: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp20-{F}(V0) | transfinite_sequence-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #105: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp20-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #106: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp20-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #107: input, references = 3, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp21-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #108: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp21-{F}(V0) | function-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #109: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp21-{F}(V0) | relation_non_empty-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #110: input, references = 3, size of lhs = 1:
% 0.40/0.58 pppp21-{F}(V0) | relation-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #111: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #112: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #113: input, references = 3, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #114: input, references = 4, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #115: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #116: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #117: input, references = 4, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | EXISTS V1: pppp22-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #118: input, references = 4, size of lhs = 2:
% 0.40/0.58 pppp22-{F}(V0,V1), transfinite_sequence_of-{F}(V0,V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #119: input, references = 3, size of lhs = 4:
% 0.40/0.58 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #120: input, references = 3, size of lhs = 5:
% 0.40/0.58 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #121: input, references = 4, size of lhs = 5:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V0), P_relation_rng-{F}(V1,V3), relation-{F}(V1), V3 == V0 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #122: input, references = 3, size of lhs = 5:
% 0.40/0.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V0), relation-{F}(V1), V2 == V0 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #123: input, references = 8, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #124: input, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #125: input, references = 8, size of lhs = 4:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #126: input, references = 3, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #127: input, references = 4, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #128: input, references = 4, size of lhs = 2:
% 0.40/0.58 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #129: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #130: input, references = 4, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #131: input, references = 4, size of lhs = 0:
% 0.40/0.58 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #132: input, references = 3, size of lhs = 1:
% 0.40/0.58 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of initial rules = 133
% 0.40/0.58
% 0.40/0.58 Simplifiers:
% 0.40/0.58 #133: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #134: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #135: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #136: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #137: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #138: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #139: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #140: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #141: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp2-{F}(V0,V1,V2), pppp2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #142: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #143: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #144: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #145: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #146: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #147: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #148: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #149: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #150: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #151: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #152: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #153: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #154: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #155: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #156: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #157: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #158: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #159: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #160: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #161: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp22-{F}(V0,V1), pppp22-{F}(V0,V3), V1 == V3 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #162: unsound, references = 3, size of lhs = 3:
% 0.40/0.58 pppp22-{F}(V0,V1), pppp22-{F}(V2,V3), V0 == V2 | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of simplifiers = 30
% 0.40/0.58
% 0.40/0.58 Learnt:
% 0.40/0.58 #169: mergings( V0 == V2; #166 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #171: mergings( V0 == V2; #167 ), references = 1, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #178: mergings( V0 == V2; #175 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #180: mergings( V0 == V2; #176 ), references = 1, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #182: exists( #130, #121 ), references = 2, size of lhs = 3:
% 0.40/0.58 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0) | P_relation_rng-{T}(V1,V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #186: disj( #15, input ), references = 1, size of lhs = 4:
% 0.40/0.58 relation-{F}(V0), P_relation_dom-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp23-{T}(V0,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #193: mergings( V0 == V2; #190 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #195: mergings( V0 == V2; #191 ), references = 1, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #197: exists( #128, #22 ), references = 1, size of lhs = 3:
% 0.40/0.58 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #205: mergings( V2 == V3; #202 ), references = 1, size of lhs = 2:
% 0.40/0.58 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #207: mergings( V2 == V3; #203 ), references = 1, size of lhs = 3:
% 0.40/0.58 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #218: mergings( V0 == V2; #215 ), references = 1, size of lhs = 1:
% 0.40/0.58 P_empty_set-{F}(V0) | pppp13-{T}(V0)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #220: mergings( V0 == V2; #216 ), references = 1, size of lhs = 2:
% 0.40/0.58 P_empty_set-{F}(V0), empty-{F}(V1) | pppp13-{T}(V1)
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #226: mergings( V0 == V2; #224 ), references = 1, size of lhs = 5:
% 0.40/0.58 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), P_empty_set-{F}(V0), P_relation_rng-{F}(V0,V0) | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 #235: exists( #131, #233 ), references = 1, size of lhs = 0:
% 0.40/0.58 FALSE | FALSE
% 0.40/0.58 (used 0 times, uses = {})
% 0.40/0.58
% 0.40/0.58 number of learnt formulas = 15
% 0.40/0.58
% 0.40/0.58
% 0.40/0.58 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.40/0.58
% 0.40/0.58 randbase = 1
%------------------------------------------------------------------------------