TSTP Solution File: NUM395+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 0.13s 0.35s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : NUM395+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n011.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 23:52:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.35 GeoParameters:
% 0.13/0.35
% 0.13/0.35 tptp_input = 1
% 0.13/0.35 tptp_output = 0
% 0.13/0.35 nonempty = 1
% 0.13/0.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 RuleSystem INPUT:
% 0.13/0.35
% 0.13/0.35 Initial Rules:
% 0.13/0.35 #0: input, references = 3, size of lhs = 1:
% 0.13/0.35 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #1: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #2: input, references = 3, size of lhs = 1:
% 0.13/0.35 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #3: input, references = 3, size of lhs = 2:
% 0.13/0.35 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #4: input, references = 3, size of lhs = 1:
% 0.13/0.35 in-{F}(V0,V1) | element-{T}(V0,V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #5: input, references = 3, size of lhs = 1:
% 0.13/0.35 empty-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #6: input, references = 3, size of lhs = 3:
% 0.13/0.35 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #7: input, references = 3, size of lhs = 1:
% 0.13/0.35 empty-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #8: input, references = 3, size of lhs = 2:
% 0.13/0.35 empty-{F}(V0), in-{F}(V1,V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #9: input, references = 3, size of lhs = 3:
% 0.13/0.35 empty-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #10: input, references = 3, size of lhs = 1:
% 0.13/0.35 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #11: input, references = 3, size of lhs = 1:
% 0.13/0.35 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #12: input, references = 4, size of lhs = 2:
% 0.13/0.35 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #13: input, references = 3, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #14: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp2-{F}(V0) | ordinal-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #15: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp2-{F}(V0) | epsilon_connected-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #16: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp2-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #17: input, references = 3, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #18: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp3-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #19: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp3-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #20: input, references = 4, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp4-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #21: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp4-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #22: input, references = 4, size of lhs = 1:
% 0.13/0.35 pppp4-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #23: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp4-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #24: input, references = 3, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp5-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #25: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp5-{F}(V0) | one_to_one-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #26: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp5-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #27: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp5-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #28: input, references = 3, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp6-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #29: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp6-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #30: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp6-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #31: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp6-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #32: input, references = 3, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: pppp7-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #33: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp7-{F}(V0) | function-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #34: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp7-{F}(V0) | relation_non_empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #35: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp7-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #36: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #37: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #38: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #39: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #40: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #41: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #42: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp8-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #43: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp8-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #44: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #45: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp9-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #46: input, references = 3, size of lhs = 2:
% 0.13/0.35 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #47: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #48: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp10-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #49: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp10-{F}(V0) | relation-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #50: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #51: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #52: input, references = 3, size of lhs = 1:
% 0.13/0.35 pppp11-{F}(V0) | empty-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #53: input, references = 3, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #54: input, references = 3, size of lhs = 2:
% 0.13/0.35 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #55: input, references = 4, size of lhs = 3:
% 0.13/0.35 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #56: input, references = 4, size of lhs = 2:
% 0.13/0.35 P_empty_set-{F}(V0), ordinal-{F}(V0) | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #57: input, references = 3, size of lhs = 2:
% 0.13/0.35 P_empty_set-{F}(V0), ordinal-{F}(V1) | pppp0-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #58: input, references = 3, size of lhs = 2:
% 0.13/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1) | ordinal-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #59: input, references = 3, size of lhs = 2:
% 0.13/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1) | epsilon_transitive-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #60: input, references = 3, size of lhs = 2:
% 0.13/0.35 P_empty_set-{F}(V0), pppp0-{F}(V1) | epsilon_connected-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #61: input, references = 3, size of lhs = 3:
% 0.13/0.35 P_empty_set-{F}(V0), epsilon_transitive-{F}(V1), epsilon_connected-{F}(V1) | pppp0-{T}(V1)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #62: input, references = 4, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #63: input, references = 4, size of lhs = 1:
% 0.13/0.35 P_empty_set-{F}(V0) | epsilon_connected-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #64: input, references = 4, size of lhs = 0:
% 0.13/0.35 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of initial rules = 65
% 0.13/0.35
% 0.13/0.35 Simplifiers:
% 0.13/0.35 #65: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 element-{F}(V0,V1), element-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #66: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 in-{F}(V0,V1), in-{F}(V2,V1), V0 == V2 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #67: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #68: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #69: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #70: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #71: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #72: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #73: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #74: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #75: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #76: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #77: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #78: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #79: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #80: unsound, references = 3, size of lhs = 3:
% 0.13/0.35 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of simplifiers = 16
% 0.13/0.35
% 0.13/0.35 Learnt:
% 0.13/0.35 #82: exists( #64, #55 ), references = 1, size of lhs = 1:
% 0.13/0.35 empty-{F}(V0) | P_empty_set-{T}(V0)
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 #89: exists( #20, #87 ), references = 1, size of lhs = 0:
% 0.13/0.35 FALSE | FALSE
% 0.13/0.35 (used 0 times, uses = {})
% 0.13/0.35
% 0.13/0.35 number of learnt formulas = 2
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 randbase = 1
%------------------------------------------------------------------------------