%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM411+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jul 22 22:46:57 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.61/0.79 GeoParameters:
% 0.61/0.79
% 0.61/0.79 tptp_input = 1
% 0.61/0.79 tptp_output = 0
% 0.61/0.79 nonempty = 1
% 0.61/0.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.61/0.79
% 0.61/0.79
% 0.61/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79
% 0.61/0.79 RuleSystem INPUT:
% 0.61/0.79
% 0.61/0.79 Initial Rules:
% 0.61/0.79 #0: input, references = 3, size of lhs = 2:
% 0.61/0.79 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #1: input, references = 3, size of lhs = 1:
% 0.61/0.79 empty-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #2: input, references = 3, size of lhs = 1:
% 0.61/0.79 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #3: input, references = 3, size of lhs = 1:
% 0.61/0.79 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #4: input, references = 3, size of lhs = 1:
% 0.61/0.79 empty-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #5: input, references = 3, size of lhs = 3:
% 0.61/0.79 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #6: input, references = 3, size of lhs = 2:
% 0.61/0.79 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #7: input, references = 3, size of lhs = 1:
% 0.61/0.79 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #8: input, references = 3, size of lhs = 1:
% 0.61/0.79 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #9: input, references = 3, size of lhs = 1:
% 0.61/0.79 empty-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #10: input, references = 5, size of lhs = 5:
% 0.61/0.79 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)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #11: input, references = 5, size of lhs = 5:
% 0.61/0.79 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)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #12: input, references = 5, size of lhs = 1:
% 0.61/0.79 transfinite_sequence_of-{F}(V0,V1) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #13: input, references = 5, size of lhs = 1:
% 0.61/0.79 transfinite_sequence_of-{F}(V0,V1) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #14: input, references = 5, size of lhs = 1:
% 0.61/0.79 transfinite_sequence_of-{F}(V0,V1) | transfinite_sequence-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #15: input, references = 3, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #16: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp0-{F}(V0,V1) | transfinite_sequence_of-{T}(V1,V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #17: input, references = 5, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #18: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #19: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #20: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #21: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #22: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #23: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #24: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #25: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #26: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #27: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #28: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #29: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #30: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #31: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp2-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #32: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #33: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #34: input, references = 3, size of lhs = 5:
% 0.61/0.79 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)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #35: input, references = 3, size of lhs = 4:
% 0.61/0.79 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #36: input, references = 5, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #37: input, references = 3, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #38: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #39: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp3-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #40: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp3-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #41: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #42: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #43: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #44: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #45: input, references = 4, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #46: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp5-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #47: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp5-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #48: input, references = 4, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #49: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp6-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #50: input, references = 4, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #51: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp7-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #52: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp7-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #53: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp7-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #54: input, references = 4, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #55: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp9-{F}(V0) | pppp8-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #56: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #57: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #58: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #59: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #60: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #61: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #62: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp8-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #63: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #64: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp10-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #65: input, references = 3, size of lhs = 2:
% 0.61/0.79 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #66: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #67: input, references = 3, size of lhs = 2:
% 0.61/0.79 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #68: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #69: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #70: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp12-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #71: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp12-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #72: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #73: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #74: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #75: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #76: input, references = 3, size of lhs = 2:
% 0.61/0.79 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #77: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #78: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #79: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp14-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #80: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #81: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp15-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #82: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #83: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp15-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #84: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #85: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp16-{F}(V0) | transfinite_sequence-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #86: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp16-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #87: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp16-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #88: input, references = 3, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #89: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp17-{F}(V0) | function-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #90: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp17-{F}(V0) | relation_non_empty-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #91: input, references = 3, size of lhs = 1:
% 0.61/0.79 pppp17-{F}(V0) | relation-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #92: input, references = 3, size of lhs = 2:
% 0.61/0.79 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #93: input, references = 3, size of lhs = 2:
% 0.61/0.79 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #94: input, references = 4, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #95: input, references = 5, size of lhs = 2:
% 0.61/0.79 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #96: input, references = 3, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #97: input, references = 4, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #98: input, references = 4, size of lhs = 1:
% 0.61/0.79 P_empty_set-{F}(V0) | EXISTS V1: pppp20-{T}(V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #99: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp20-{F}(V0) | EXISTS V1: pppp19-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #100: input, references = 6, size of lhs = 1:
% 0.61/0.79 pppp19-{F}(V0,V1) | EXISTS V2: pppp18-{T}(V0,V1,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #101: input, references = 5, size of lhs = 1:
% 0.61/0.79 pppp19-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #102: input, references = 6, size of lhs = 2:
% 0.61/0.79 pppp18-{F}(V0,V1,V2), transfinite_sequence_of-{F}(V2,V1) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #103: input, references = 6, size of lhs = 1:
% 0.61/0.79 pppp18-{F}(V0,V1,V2) | transfinite_sequence_of-{T}(V2,V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #104: input, references = 4, size of lhs = 4:
% 0.61/0.79 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #105: input, references = 4, size of lhs = 5:
% 0.61/0.79 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #106: input, references = 8, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #107: input, references = 3, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #108: input, references = 8, size of lhs = 4:
% 0.61/0.79 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #109: input, references = 6, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #110: input, references = 4, size of lhs = 0:
% 0.61/0.79 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #111: input, references = 4, size of lhs = 1:
% 0.61/0.79 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 number of initial rules = 112
% 0.61/0.79
% 0.61/0.79 Simplifiers:
% 0.61/0.79 #112: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #113: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #114: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #115: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #116: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #117: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #118: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #119: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #120: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #121: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #122: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #123: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #124: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #125: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #126: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #127: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #128: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #129: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #130: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #131: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #132: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #133: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #134: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #135: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp18-{F}(V0,V1,V2), pppp18-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #136: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp18-{F}(V0,V1,V2), pppp18-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.61/0.79 (used 0 times, uses = {})
% 0.61/0.79
% 0.61/0.79 #137: unsound, references = 3, size of lhs = 3:
% 0.61/0.79 pppp19-{F}(V0,V1), pppp19-{F}(V0,V3), V1 == V3 | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #138: unsound, references = 3, size of lhs = 3:
% 0.61/0.80 pppp19-{F}(V0,V1), pppp19-{F}(V2,V3), V0 == V2 | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #139: unsound, references = 3, size of lhs = 3:
% 0.61/0.80 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 number of simplifiers = 28
% 0.61/0.80
% 0.61/0.80 Learnt:
% 0.61/0.80 #152: mergings( V2 == V3; #149 ), references = 1, size of lhs = 2:
% 0.61/0.80 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #154: mergings( V2 == V3; #150 ), references = 1, size of lhs = 3:
% 0.61/0.80 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #160: mergings( V0 == V2; #157 ), references = 1, size of lhs = 1:
% 0.61/0.80 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #162: mergings( V0 == V2; #158 ), references = 1, size of lhs = 2:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #170: mergings( V0 == V2; #167 ), references = 1, size of lhs = 1:
% 0.61/0.80 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #172: mergings( V0 == V2; #168 ), references = 1, size of lhs = 2:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #180: mergings( V0 == V2; #177 ), references = 1, size of lhs = 1:
% 0.61/0.80 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #182: mergings( V0 == V2; #178 ), references = 1, size of lhs = 2:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #188: mergings( V0 == V2; #185 ), references = 1, size of lhs = 1:
% 0.61/0.80 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #190: mergings( V0 == V2; #186 ), references = 1, size of lhs = 2:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #195: mergings( V0 == V3; #193 ), references = 1, size of lhs = 5:
% 0.61/0.80 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), in-{F}(V5,V4) | in-{T}(V1,V2)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #201: mergings( V0 == V3; #197 ), references = 3, size of lhs = 3:
% 0.61/0.80 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #204: mergings( V0 == V3, V2 == V3; #198 ), references = 1, size of lhs = 4:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #206: mergings( V2 == V0; #199 ), references = 1, size of lhs = 3:
% 0.61/0.80 P_empty_set-{F}(V0), pppp10-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #229: mergings( V2 == V3; #227 ), references = 2, size of lhs = 5:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #237: mergings( V2 == V3, V3 == V4, V4 == V5; #233 ), references = 1, size of lhs = 6:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0 | pppp1-{T}(V4,V0)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #254: exists( #100, #252 ), references = 1, size of lhs = 1:
% 0.61/0.80 pppp19-{F}(V0,V0) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #283: mergings( V3 == V4; #281 ), references = 1, size of lhs = 8:
% 0.61/0.80 relation-{F}(V0), function-{F}(V0), transfinite_sequence-{F}(V0), transfinite_sequence_of-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V1,V4) | P_relation_rng-{T}(V0,V2)
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #305: mergings( V3 == V4; #303 ), references = 2, size of lhs = 6:
% 0.61/0.80 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V0,V3), pppp19-{F}(V4,V3), P_powerset-{F}(V4,V2) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #308: exists( #99, #306 ), references = 1, size of lhs = 5:
% 0.61/0.80 pppp20-{F}(V0), P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V0,V2) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #310: exists( #111, #307 ), references = 1, size of lhs = 3:
% 0.61/0.80 pppp20-{F}(V0), P_empty_set-{F}(V0), empty-{F}(V0) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #325: exists( #109, #321 ), references = 1, size of lhs = 7:
% 0.61/0.80 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), transfinite_sequence-{F}(V1), transfinite_sequence_of-{F}(V1,V2), subset-{F}(V2,V3), pppp18-{F}(V4,V3,V1) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #331: exists( #100, #329 ), references = 2, size of lhs = 3:
% 0.61/0.80 P_empty_set-{F}(V0), pppp19-{F}(V1,V2), subset-{F}(V1,V2) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #334: exists( #99, #332 ), references = 1, size of lhs = 2:
% 0.61/0.80 pppp20-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #337: mergings( V0 == V2; #335 ), references = 1, size of lhs = 1:
% 0.61/0.80 P_empty_set-{F}(V0) | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 #339: exists( #110, #335 ), references = 1, size of lhs = 0:
% 0.61/0.80 FALSE | FALSE
% 0.61/0.80 (used 0 times, uses = {})
% 0.61/0.80
% 0.61/0.80 number of learnt formulas = 26
% 0.61/0.80
% 0.61/0.80
% 0.61/0.80 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.80
% 0.61/0.80 randbase = 1
%------------------------------------------------------------------------------