TSTP Solution File: NUM414+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 0.35s 0.52s
% Output : Refutation 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM414+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 23:19:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.35/0.52 GeoParameters:
% 0.35/0.52
% 0.35/0.52 tptp_input = 1
% 0.35/0.52 tptp_output = 0
% 0.35/0.52 nonempty = 1
% 0.35/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.35/0.52
% 0.35/0.52
% 0.35/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.52
% 0.35/0.52 RuleSystem INPUT:
% 0.35/0.52
% 0.35/0.52 Initial Rules:
% 0.35/0.52 #0: input, references = 4, size of lhs = 2:
% 0.35/0.52 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #1: input, references = 3, size of lhs = 2:
% 0.35/0.52 proper_subset-{F}(V0,V1), proper_subset-{F}(V1,V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #2: input, references = 3, size of lhs = 1:
% 0.35/0.52 empty-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #3: input, references = 3, size of lhs = 1:
% 0.35/0.52 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #4: input, references = 3, size of lhs = 1:
% 0.35/0.52 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #5: input, references = 3, size of lhs = 1:
% 0.35/0.52 empty-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #6: input, references = 3, size of lhs = 3:
% 0.35/0.52 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #7: input, references = 3, size of lhs = 2:
% 0.35/0.52 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #8: input, references = 3, size of lhs = 1:
% 0.35/0.52 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #9: input, references = 3, size of lhs = 1:
% 0.35/0.52 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #10: input, references = 3, size of lhs = 1:
% 0.35/0.52 empty-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #11: input, references = 5, size of lhs = 2:
% 0.35/0.52 ordinal-{F}(V0), ordinal-{F}(V1) | ordinal_subset-{T}(V1,V0), ordinal_subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #12: input, references = 3, size of lhs = 1:
% 0.35/0.52 proper_subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #13: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp0-{F}(V0,V1) | proper_subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #14: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #15: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp0-{F}(V1,V1) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #16: input, references = 5, size of lhs = 2:
% 0.35/0.52 subset-{F}(V0,V1), V0 == V1 | pppp0-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #17: input, references = 4, size of lhs = 1:
% 0.35/0.52 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #18: input, references = 4, size of lhs = 1:
% 0.35/0.52 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #19: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #20: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #21: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #22: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #23: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #24: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #25: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #26: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #27: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #28: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #29: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #30: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #31: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp2-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #32: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #33: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #34: input, references = 3, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), proper_subset-{F}(V1,V1) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #35: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #36: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp3-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #37: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp3-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #38: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #39: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #40: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #41: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #42: input, references = 4, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #43: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp5-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #44: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp5-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #45: input, references = 4, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #46: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp6-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #47: input, references = 4, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #48: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp7-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #49: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp7-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #50: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp7-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #51: input, references = 4, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #52: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp9-{F}(V0) | pppp8-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #53: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #54: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #55: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #56: input, references = 5, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #57: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #58: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #59: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp8-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #60: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #61: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp10-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #62: input, references = 3, size of lhs = 2:
% 0.35/0.52 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #63: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #64: input, references = 3, size of lhs = 2:
% 0.35/0.52 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #65: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #66: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #67: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp12-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #68: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp12-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #69: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #70: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #71: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #72: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #73: input, references = 3, size of lhs = 2:
% 0.35/0.52 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #74: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #75: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #76: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp14-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #77: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #78: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp15-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #79: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #80: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp15-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #81: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #82: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp16-{F}(V0) | transfinite_sequence-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #83: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp16-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #84: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp16-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #85: input, references = 3, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #86: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp17-{F}(V0) | function-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #87: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp17-{F}(V0) | relation_non_empty-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #88: input, references = 3, size of lhs = 1:
% 0.35/0.52 pppp17-{F}(V0) | relation-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #89: input, references = 8, size of lhs = 4:
% 0.35/0.52 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), ordinal_subset-{F}(V2,V1) | subset-{T}(V2,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #90: input, references = 3, size of lhs = 4:
% 0.35/0.52 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), subset-{F}(V2,V1) | ordinal_subset-{T}(V2,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #91: input, references = 3, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2) | ordinal_subset-{T}(V2,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #92: input, references = 3, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #93: input, references = 3, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #94: input, references = 5, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #95: input, references = 3, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #96: input, references = 6, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #97: input, references = 3, size of lhs = 4:
% 0.35/0.52 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #98: input, references = 4, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #99: input, references = 4, size of lhs = 1:
% 0.35/0.52 pppp19-{F}(V0) | EXISTS V1: pppp18-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #100: input, references = 4, size of lhs = 1:
% 0.35/0.52 pppp19-{F}(V0) | ordinal-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #101: input, references = 4, size of lhs = 2:
% 0.35/0.52 pppp18-{F}(V0,V1), proper_subset-{F}(V1,V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #102: input, references = 4, size of lhs = 1:
% 0.35/0.52 pppp18-{F}(V1,V1) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #103: input, references = 4, size of lhs = 2:
% 0.35/0.52 pppp18-{F}(V0,V1), proper_subset-{F}(V0,V1) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #104: input, references = 4, size of lhs = 1:
% 0.35/0.52 pppp18-{F}(V0,V1) | ordinal-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #105: input, references = 5, size of lhs = 5:
% 0.35/0.52 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #106: input, references = 7, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #107: input, references = 3, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #108: input, references = 7, size of lhs = 4:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #109: input, references = 4, size of lhs = 0:
% 0.35/0.52 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #110: input, references = 3, size of lhs = 1:
% 0.35/0.52 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 number of initial rules = 111
% 0.35/0.52
% 0.35/0.52 Simplifiers:
% 0.35/0.52 #111: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 transfinite_sequence-{F}(V0), transfinite_sequence-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #112: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #113: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #114: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #115: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #116: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #117: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #118: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #119: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #120: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #121: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #122: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #123: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #124: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #125: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #126: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #127: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #128: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #129: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #130: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #131: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #132: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #133: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp18-{F}(V0,V1), pppp18-{F}(V2,V3), V0 == V2 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #134: unsound, references = 3, size of lhs = 3:
% 0.35/0.52 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 number of simplifiers = 24
% 0.35/0.52
% 0.35/0.52 Learnt:
% 0.35/0.52 #136: disj( #94, input ), references = 1, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #146: mergings( V0 == V2; #143 ), references = 1, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #148: mergings( V0 == V2; #144 ), references = 1, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #158: mergings( V0 == V2; #155 ), references = 1, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #160: mergings( V0 == V2; #156 ), references = 1, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #170: mergings( V0 == V2; #167 ), references = 1, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #172: mergings( V0 == V2; #168 ), references = 1, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #180: mergings( V0 == V2; #177 ), references = 1, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #182: mergings( V0 == V2; #178 ), references = 1, size of lhs = 2:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #191: mergings( V0 == V3; #187 ), references = 3, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #194: mergings( V0 == V3, V2 == V3; #188 ), references = 1, size of lhs = 4:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #196: mergings( V2 == V0; #189 ), references = 1, size of lhs = 3:
% 0.35/0.52 P_empty_set-{F}(V0), pppp13-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #208: mergings( V2 == V3; #206 ), references = 2, size of lhs = 5:
% 0.35/0.52 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #217: mergings( V2 == V3, V3 == V4; #213 ), references = 1, size of lhs = 7:
% 0.35/0.52 ordinal-{F}(V0), ordinal-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V4), in-{F}(V5,V1) | ordinal_subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #220: mergings( V2 == V3, V3 == V4; #214 ), references = 1, size of lhs = 7:
% 0.35/0.52 ordinal-{F}(V0), ordinal-{F}(V1), P_empty_set-{F}(V2), V1 == V2, empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V4) | ordinal_subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #233: disj( #11, #89+#16+#13+#103 ), references = 1, size of lhs = 5:
% 0.35/0.52 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V2 == V1, pppp18-{F}(V2,V1) | ordinal_subset-{T}(V1,V2)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #236: mergings( V2 == V3, V3 == V4; #231 ), references = 1, size of lhs = 5:
% 0.35/0.52 ordinal-{F}(V0), ordinal-{F}(V1), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), V1 == V2 | ordinal_subset-{T}(V0,V1)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #244: mergings( V2 == V3; #242 ), references = 2, size of lhs = 3:
% 0.35/0.52 pppp19-{F}(V0), ordinal-{F}(V0), P_empty_set-{F}(V1) | pppp18-{T}(V0,V0)
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #250: mergings( V0 == V2; #248 ), references = 1, size of lhs = 1:
% 0.35/0.52 P_empty_set-{F}(V0) | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 #252: exists( #109, #248 ), references = 1, size of lhs = 0:
% 0.35/0.52 FALSE | FALSE
% 0.35/0.52 (used 0 times, uses = {})
% 0.35/0.52
% 0.35/0.52 number of learnt formulas = 20
% 0.35/0.52
% 0.35/0.52
% 0.35/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/0.52
% 0.35/0.52 randbase = 1
%------------------------------------------------------------------------------