TSTP Solution File: NUM388+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:12:22 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM388+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n028.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 : Sat Jul 23 00:12:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.48 GeoParameters:
% 0.19/0.48
% 0.19/0.48 tptp_input = 1
% 0.19/0.48 tptp_output = 0
% 0.19/0.48 nonempty = 1
% 0.19/0.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 RuleSystem INPUT:
% 0.19/0.48
% 0.19/0.48 Initial Rules:
% 0.19/0.48 #0: input, references = 3, size of lhs = 2:
% 0.19/0.48 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #1: input, references = 3, size of lhs = 1:
% 0.19/0.48 empty-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #2: input, references = 4, size of lhs = 1:
% 0.19/0.48 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #3: input, references = 3, size of lhs = 1:
% 0.19/0.48 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #4: input, references = 3, size of lhs = 1:
% 0.19/0.48 empty-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #5: input, references = 3, size of lhs = 3:
% 0.19/0.48 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #6: input, references = 3, size of lhs = 2:
% 0.19/0.48 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #7: input, references = 4, size of lhs = 1:
% 0.19/0.48 epsilon_transitive-{F}(V0) | pppp0-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #8: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp0-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #9: input, references = 5, size of lhs = 2:
% 0.19/0.48 pppp0-{F}(V0), in-{F}(V1,V0) | subset-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #10: input, references = 3, size of lhs = 1:
% 0.19/0.48 #-{F} V0 | pppp0-{T}(V0), pppp17-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #11: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp17-{F}(V0) | EXISTS V1: pppp1-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #12: input, references = 4, size of lhs = 2:
% 0.19/0.48 pppp1-{F}(V0,V1), subset-{F}(V1,V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #13: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp1-{F}(V0,V1) | in-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #14: input, references = 4, size of lhs = 1:
% 0.19/0.48 #-{F} V0 | EXISTS V1: pppp2-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #15: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #16: input, references = 4, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #17: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #18: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #19: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #20: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #21: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #22: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #23: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp3-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #24: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp3-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #25: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #26: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp4-{F}(V0) | ordinal-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #27: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp4-{F}(V0) | epsilon_connected-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #28: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp4-{F}(V0) | epsilon_transitive-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #29: input, references = 4, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #30: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp5-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #31: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp5-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #32: input, references = 4, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #33: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp6-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #34: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #35: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp7-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #36: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp7-{F}(V0) | empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #37: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp7-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #38: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #39: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp8-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #40: input, references = 3, size of lhs = 2:
% 0.19/0.48 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #41: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #42: input, references = 3, size of lhs = 2:
% 0.19/0.48 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #43: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #44: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #45: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp10-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #46: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp10-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #47: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #48: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #49: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp11-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #50: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #51: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp12-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #52: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp12-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #53: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp12-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #54: input, references = 3, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #55: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp13-{F}(V0) | function-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #56: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp13-{F}(V0) | relation_non_empty-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #57: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp13-{F}(V0) | relation-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #58: input, references = 3, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #59: input, references = 4, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | EXISTS V1: pppp16-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #60: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp16-{F}(V0) | EXISTS V1: pppp15-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #61: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp16-{F}(V0) | ordinal-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #62: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp15-{F}(V0,V1) | EXISTS V2: pppp14-{T}(V0,V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #63: input, references = 5, size of lhs = 1:
% 0.19/0.48 pppp15-{F}(V0,V1) | in-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #64: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp15-{F}(V0,V1) | ordinal-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #65: input, references = 4, size of lhs = 2:
% 0.19/0.48 pppp14-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #66: input, references = 4, size of lhs = 1:
% 0.19/0.48 pppp14-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #67: input, references = 3, size of lhs = 1:
% 0.19/0.48 pppp14-{F}(V0,V1,V2) | epsilon_transitive-{T}(V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #68: input, references = 4, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #69: input, references = 4, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #70: input, references = 3, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #71: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #72: input, references = 4, size of lhs = 4:
% 0.19/0.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #73: input, references = 4, size of lhs = 5:
% 0.19/0.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #74: input, references = 5, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #75: input, references = 4, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #76: input, references = 5, size of lhs = 4:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #77: input, references = 4, size of lhs = 0:
% 0.19/0.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #78: input, references = 4, size of lhs = 1:
% 0.19/0.48 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of initial rules = 79
% 0.19/0.48
% 0.19/0.48 Simplifiers:
% 0.19/0.48 #79: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 relation_non_empty-{F}(V0), relation_non_empty-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #80: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #81: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #82: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #83: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #84: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #85: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #86: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #87: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #88: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #89: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #90: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #91: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #92: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #93: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #94: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #95: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #96: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #97: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp14-{F}(V0,V1,V2), pppp14-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #98: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #99: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp15-{F}(V0,V1), pppp15-{F}(V2,V3), V0 == V2 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #100: unsound, references = 3, size of lhs = 3:
% 0.19/0.48 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of simplifiers = 22
% 0.19/0.48
% 0.19/0.48 Learnt:
% 0.19/0.48 #105: mergings( V0 == V3; #101 ), references = 3, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #108: mergings( V0 == V3, V2 == V3; #102 ), references = 1, size of lhs = 4:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #110: mergings( V2 == V0; #103 ), references = 1, size of lhs = 3:
% 0.19/0.48 P_empty_set-{F}(V0), pppp9-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #123: mergings( V0 == V2; #120 ), references = 1, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #125: mergings( V0 == V2; #121 ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #134: mergings( V0 == V2; #131 ), references = 1, size of lhs = 1:
% 0.19/0.48 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #136: mergings( V0 == V2; #132 ), references = 1, size of lhs = 2:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #140: exists( #11, #138 ), references = 1, size of lhs = 2:
% 0.19/0.48 pppp17-{F}(V0), pppp0-{F}(V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #150: mergings( V2 == V3; #148 ), references = 1, size of lhs = 5:
% 0.19/0.48 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #156: mergings( V2 == V3, V3 == V4; #153 ), references = 1, size of lhs = 4:
% 0.19/0.48 pppp17-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V0) | pppp1-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #176: mergings( V2 == V3, V3 == V4; #173 ), references = 2, size of lhs = 5:
% 0.19/0.48 P_empty_set-{F}(V0), subset-{F}(V1,V2), V2 == V0, in-{F}(V3,V1), pppp14-{F}(V4,V2,V3) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #179: exists( #62, #177 ), references = 1, size of lhs = 4:
% 0.19/0.48 P_empty_set-{F}(V0), pppp15-{F}(V1,V2), V2 == V0, subset-{F}(V1,V2) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #186: exists( #60, #184 ), references = 1, size of lhs = 2:
% 0.19/0.48 pppp16-{F}(V0), P_empty_set-{F}(V1) | pppp15-{T}(V0,V1)
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #192: mergings( V0 == V2, V2 == V3; #189 ), references = 1, size of lhs = 2:
% 0.19/0.48 empty-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 #195: exists( #77, #193 ), references = 1, size of lhs = 0:
% 0.19/0.48 FALSE | FALSE
% 0.19/0.48 (used 0 times, uses = {})
% 0.19/0.48
% 0.19/0.48 number of learnt formulas = 15
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48
% 0.19/0.48 randbase = 1
%------------------------------------------------------------------------------