TSTP Solution File: NUM394+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM394+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 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM394+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 00:13:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 GeoParameters:
% 0.18/0.49
% 0.18/0.49 tptp_input = 1
% 0.18/0.49 tptp_output = 0
% 0.18/0.49 nonempty = 1
% 0.18/0.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49
% 0.18/0.49 RuleSystem INPUT:
% 0.18/0.49
% 0.18/0.49 Initial Rules:
% 0.18/0.49 #0: input, references = 3, size of lhs = 2:
% 0.18/0.49 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #1: input, references = 3, size of lhs = 1:
% 0.18/0.49 empty-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #2: input, references = 4, size of lhs = 1:
% 0.18/0.49 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #3: input, references = 3, size of lhs = 1:
% 0.18/0.49 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #4: input, references = 3, size of lhs = 1:
% 0.18/0.49 empty-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #5: input, references = 3, size of lhs = 3:
% 0.18/0.49 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #6: input, references = 3, size of lhs = 2:
% 0.18/0.49 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #7: input, references = 4, size of lhs = 2:
% 0.18/0.49 ordinal-{F}(V0), ordinal-{F}(V1) | ordinal_subset-{T}(V1,V0), ordinal_subset-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #8: input, references = 4, size of lhs = 1:
% 0.18/0.49 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #9: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #10: input, references = 5, size of lhs = 2:
% 0.18/0.49 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #11: input, references = 3, size of lhs = 1:
% 0.18/0.49 #-{F} V0 | pppp0-{T}(V0), pppp16-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #12: input, references = 5, size of lhs = 1:
% 0.18/0.49 pppp16-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #13: input, references = 4, size of lhs = 2:
% 0.18/0.49 pppp1-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #14: input, references = 5, size of lhs = 1:
% 0.18/0.49 pppp1-{F}(V0,V1) | in-{T}(V1,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #15: input, references = 4, size of lhs = 1:
% 0.18/0.49 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #16: input, references = 4, size of lhs = 1:
% 0.18/0.49 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #17: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #18: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #19: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #20: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #21: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #22: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #23: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #24: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp3-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #25: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp3-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #26: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #27: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #28: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #29: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #30: input, references = 4, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #31: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp5-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #32: input, references = 5, size of lhs = 1:
% 0.18/0.49 pppp5-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #33: input, references = 4, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #34: input, references = 5, size of lhs = 1:
% 0.18/0.49 pppp6-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #35: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #36: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp7-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #37: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp7-{F}(V0) | empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #38: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp7-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #39: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #40: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp8-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #41: input, references = 3, size of lhs = 2:
% 0.18/0.49 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #42: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #43: input, references = 3, size of lhs = 2:
% 0.18/0.49 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #44: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #45: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #46: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp10-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #47: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp10-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #48: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #49: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #50: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp11-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #51: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #52: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp12-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #53: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp12-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #54: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp12-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #55: input, references = 3, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #56: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp13-{F}(V0) | function-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #57: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp13-{F}(V0) | relation_non_empty-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #58: input, references = 3, size of lhs = 1:
% 0.18/0.49 pppp13-{F}(V0) | relation-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #59: input, references = 3, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), ordinal_subset-{F}(V2,V1) | subset-{T}(V2,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #60: input, references = 4, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), subset-{F}(V2,V1) | ordinal_subset-{T}(V2,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #61: input, references = 4, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2) | ordinal_subset-{T}(V2,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #62: input, references = 3, size of lhs = 2:
% 0.18/0.49 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #63: input, references = 4, size of lhs = 2:
% 0.18/0.49 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #64: input, references = 4, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2 | in-{T}(V1,V2), in-{T}(V2,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #65: input, references = 4, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #66: input, references = 4, size of lhs = 1:
% 0.18/0.49 pppp15-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #67: input, references = 4, size of lhs = 1:
% 0.18/0.49 pppp15-{F}(V0) | ordinal-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #68: input, references = 3, size of lhs = 2:
% 0.18/0.49 pppp14-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #69: input, references = 5, size of lhs = 2:
% 0.18/0.49 pppp14-{F}(V0,V1), ordinal_subset-{F}(V0,V1) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #70: input, references = 4, size of lhs = 1:
% 0.18/0.49 pppp14-{F}(V0,V1) | ordinal-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #71: input, references = 4, size of lhs = 2:
% 0.18/0.49 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #72: input, references = 3, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #73: input, references = 3, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #74: input, references = 3, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #75: input, references = 4, size of lhs = 5:
% 0.18/0.49 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #76: input, references = 5, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #77: input, references = 3, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #78: input, references = 5, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #79: input, references = 4, size of lhs = 0:
% 0.18/0.49 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #80: input, references = 3, size of lhs = 1:
% 0.18/0.49 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 number of initial rules = 81
% 0.18/0.49
% 0.18/0.49 Simplifiers:
% 0.18/0.49 #81: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #82: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #83: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #84: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #85: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #86: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #87: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #88: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #89: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #90: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #91: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #92: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #93: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #94: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #95: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #96: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #97: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #98: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp14-{F}(V0,V1), pppp14-{F}(V2,V3), V0 == V2 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #99: unsound, references = 3, size of lhs = 3:
% 0.18/0.49 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 number of simplifiers = 19
% 0.18/0.49
% 0.18/0.49 Learnt:
% 0.18/0.49 #104: mergings( V0 == V3; #100 ), references = 2, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #107: mergings( V0 == V3, V2 == V3; #101 ), references = 1, size of lhs = 4:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #109: mergings( V2 == V0; #102 ), references = 1, size of lhs = 3:
% 0.18/0.49 P_empty_set-{F}(V0), pppp9-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #122: mergings( V0 == V2; #119 ), references = 1, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #124: mergings( V0 == V2; #120 ), references = 1, size of lhs = 2:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #133: mergings( V0 == V2; #130 ), references = 1, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #135: mergings( V0 == V2; #131 ), references = 1, size of lhs = 2:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #139: exists( #12, #137 ), references = 1, size of lhs = 2:
% 0.18/0.49 pppp16-{F}(V0), pppp0-{F}(V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #149: mergings( V2 == V3; #147 ), references = 1, size of lhs = 5:
% 0.18/0.49 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #155: mergings( V2 == V3, V3 == V4; #152 ), references = 1, size of lhs = 4:
% 0.18/0.49 pppp16-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V0) | pppp1-{T}(V0,V1)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #161: disj( #7, input ), references = 1, size of lhs = 3:
% 0.18/0.49 ordinal-{F}(V0), ordinal-{F}(V1), pppp14-{F}(V0,V1) | ordinal_subset-{T}(V1,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #163: disj( #64, input ), references = 1, size of lhs = 5:
% 0.18/0.49 P_empty_set-{F}(V0), ordinal-{F}(V1), ordinal-{F}(V2), V1 == V2, pppp14-{F}(V1,V2) | in-{T}(V1,V2)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #172: mergings( V2 == V3; #170 ), references = 1, size of lhs = 3:
% 0.18/0.49 pppp15-{F}(V0), ordinal-{F}(V0), P_empty_set-{F}(V1) | pppp14-{T}(V0,V0)
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #180: mergings( V0 == V2, V2 == V3, V3 == V4; #176 ), references = 1, size of lhs = 1:
% 0.18/0.49 P_empty_set-{F}(V0) | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 #182: exists( #79, #176 ), references = 1, size of lhs = 0:
% 0.18/0.49 FALSE | FALSE
% 0.18/0.49 (used 0 times, uses = {})
% 0.18/0.49
% 0.18/0.49 number of learnt formulas = 15
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49
% 0.18/0.49 randbase = 1
%------------------------------------------------------------------------------