TSTP Solution File: NUM405+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:12:23 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM405+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 23:39:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.54 GeoParameters:
% 0.18/0.54
% 0.18/0.54 tptp_input = 1
% 0.18/0.54 tptp_output = 0
% 0.18/0.54 nonempty = 1
% 0.18/0.54 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54
% 0.18/0.54 RuleSystem INPUT:
% 0.18/0.54
% 0.18/0.54 Initial Rules:
% 0.18/0.54 #0: input, references = 4, size of lhs = 2:
% 0.18/0.54 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #1: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #2: input, references = 3, size of lhs = 1:
% 0.18/0.54 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #3: input, references = 3, size of lhs = 1:
% 0.18/0.54 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #4: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #5: input, references = 3, size of lhs = 3:
% 0.18/0.54 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #6: input, references = 3, size of lhs = 2:
% 0.18/0.54 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #7: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #8: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #9: input, references = 3, size of lhs = 1:
% 0.18/0.54 empty-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #10: input, references = 4, size of lhs = 1:
% 0.18/0.54 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #11: input, references = 4, size of lhs = 1:
% 0.18/0.54 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #12: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #13: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #14: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #15: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #16: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #17: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #18: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #19: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #20: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #21: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #22: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #23: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #24: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp2-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #25: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #26: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #27: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #28: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp3-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #29: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp3-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #30: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #31: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #32: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #33: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #34: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #35: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp5-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #36: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp5-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #37: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #38: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp6-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #39: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #40: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp7-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #41: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp7-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #42: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp7-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #43: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #44: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp9-{F}(V0) | pppp8-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #45: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #46: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #47: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #48: input, references = 5, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #49: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #50: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #51: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp8-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #52: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #53: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp10-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #54: input, references = 3, size of lhs = 2:
% 0.18/0.54 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #55: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #56: input, references = 3, size of lhs = 2:
% 0.18/0.54 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #57: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #58: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp12-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #59: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp12-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #60: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp12-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #61: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #62: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp13-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #63: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp13-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #64: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp13-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #65: input, references = 3, size of lhs = 2:
% 0.18/0.54 pppp13-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #66: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #67: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp14-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #68: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp14-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #69: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #70: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp15-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #71: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp15-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #72: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp15-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #73: input, references = 3, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #74: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp16-{F}(V0) | function-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #75: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp16-{F}(V0) | relation_non_empty-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #76: input, references = 3, size of lhs = 1:
% 0.18/0.54 pppp16-{F}(V0) | relation-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #77: input, references = 5, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp17-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #78: input, references = 4, size of lhs = 2:
% 0.18/0.54 pppp17-{F}(V0,V1), pppp0-{F}(V0,V2) | in-{T}(V2,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #79: input, references = 5, size of lhs = 2:
% 0.18/0.54 pppp17-{F}(V0,V1), in-{F}(V2,V1) | pppp0-{T}(V0,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #80: input, references = 4, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | in-{T}(V2,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #81: input, references = 4, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | ordinal-{T}(V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #82: input, references = 4, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), in-{F}(V2,V1), ordinal-{F}(V2) | pppp0-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #83: input, references = 3, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #84: input, references = 4, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #85: input, references = 5, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp18-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #86: input, references = 7, size of lhs = 3:
% 0.18/0.54 pppp18-{F}(V0,V1), ordinal-{F}(V1), in-{F}(V1,V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #87: input, references = 6, size of lhs = 1:
% 0.18/0.54 pppp18-{F}(V0,V1) | in-{T}(V1,V0), ordinal-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #88: input, references = 4, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | EXISTS V1: pppp19-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #89: input, references = 7, size of lhs = 2:
% 0.18/0.54 pppp19-{F}(V0), ordinal-{F}(V1) | in-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #90: input, references = 7, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #91: input, references = 4, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #92: input, references = 7, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #93: input, references = 4, size of lhs = 0:
% 0.18/0.54 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of initial rules = 94
% 0.18/0.54
% 0.18/0.54 Simplifiers:
% 0.18/0.54 #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #96: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #97: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #98: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #99: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #100: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #101: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #102: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #103: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #104: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #105: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #106: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #107: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #108: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #109: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #110: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #111: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #112: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp17-{F}(V0,V1), pppp17-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #113: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp18-{F}(V0,V1), pppp18-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #114: unsound, references = 3, size of lhs = 3:
% 0.18/0.54 pppp19-{F}(V0), pppp19-{F}(V1), V0 == V1 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of simplifiers = 21
% 0.18/0.54
% 0.18/0.54 Learnt:
% 0.18/0.54 #120: mergings( V0 == V2; #117 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #122: mergings( V0 == V2; #118 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #128: mergings( V0 == V2; #125 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #130: mergings( V0 == V2; #126 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #136: mergings( V0 == V3; #132 ), references = 2, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #139: mergings( V0 == V3, V2 == V3; #133 ), references = 1, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #141: mergings( V2 == V0; #134 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), pppp11-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #151: mergings( V0 == V2; #148 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #153: mergings( V0 == V2; #149 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #162: mergings( V0 == V2; #159 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #164: mergings( V0 == V2; #160 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #177: mergings( V2 == V3, V3 == V4; #174 ), references = 1, size of lhs = 4:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V1,V2), V2 == V0 | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #182: mergings( V0 == V3, V3 == V4, V4 == V5; #178 ), references = 1, size of lhs = 2:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1) | pppp17-{T}(V1,V0)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #189: disj( #87, input ), references = 1, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), empty-{F}(V1), pppp18-{F}(V1,V2) | ordinal-{T}(V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #190: disj( #87, input ), references = 1, size of lhs = 2:
% 0.18/0.54 pppp18-{F}(V0,V1), in-{F}(V0,V1) | ordinal-{T}(V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #198: disj( #87, #79+#81+#86 ), references = 2, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), pppp17-{F}(V1,V2), pppp18-{F}(V2,V3) | ordinal-{T}(V3)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #203: mergings( V0 == V3; #201 ), references = 1, size of lhs = 3:
% 0.18/0.54 P_empty_set-{F}(V0), pppp19-{F}(V1), pppp17-{F}(V2,V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #219: disj( #87, #89+#0 ), references = 1, size of lhs = 2:
% 0.18/0.54 pppp19-{F}(V0), pppp18-{F}(V1,V0) | in-{T}(V0,V1)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #220: disj( #87, #89+#86 ), references = 1, size of lhs = 3:
% 0.18/0.54 pppp19-{F}(V0), pppp18-{F}(V0,V1), pppp18-{F}(V2,V1) | in-{T}(V1,V2)
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #237: mergings( V0 == V3, V3 == V5; #234 ), references = 1, size of lhs = 4:
% 0.18/0.54 pppp19-{F}(V0), P_empty_set-{F}(V1), pppp17-{F}(V0,V2), pppp17-{F}(V3,V2) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #242: mergings( V0 == V3, V3 == V4, V4 == V5; #238 ), references = 1, size of lhs = 2:
% 0.18/0.54 pppp19-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #248: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5; #243 ), references = 1, size of lhs = 1:
% 0.18/0.54 P_empty_set-{F}(V0) | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 #250: exists( #93, #243 ), references = 1, size of lhs = 0:
% 0.18/0.54 FALSE | FALSE
% 0.18/0.54 (used 0 times, uses = {})
% 0.18/0.54
% 0.18/0.54 number of learnt formulas = 23
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54
% 0.18/0.54 randbase = 1
%------------------------------------------------------------------------------