TSTP Solution File: SEU298+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:17:44 EDT 2022
% Result : Theorem 5.86s 6.05s
% Output : Refutation 5.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU298+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 19:16:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 5.86/6.05 GeoParameters:
% 5.86/6.05
% 5.86/6.05 tptp_input = 1
% 5.86/6.05 tptp_output = 0
% 5.86/6.05 nonempty = 1
% 5.86/6.05 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.86/6.05 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.86/6.05
% 5.86/6.05
% 5.86/6.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.86/6.05 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.86/6.05
% 5.86/6.05 RuleSystem INPUT:
% 5.86/6.05
% 5.86/6.05 Initial Rules:
% 5.86/6.05 #0: input, references = 4, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp4-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #1: input, references = 4, size of lhs = 4:
% 5.86/6.05 pppp4-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | EXISTS V4: pppp3-{T}(V0,V4,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #2: input, references = 4, size of lhs = 4:
% 5.86/6.05 pppp4-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #3: input, references = 4, size of lhs = 2:
% 5.86/6.05 pppp3-{F}(V0,V1,V2), #-{F} V3 | EXISTS V4: pppp2-{T}(V0,V1,V4,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #4: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp3-{F}(V0,V1,V2) | element-{T}(V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #5: input, references = 6, size of lhs = 3:
% 5.86/6.05 pppp2-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V1,V2), in-{F}(V2,V3) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #6: input, references = 9, size of lhs = 1:
% 5.86/6.05 pppp2-{F}(V0,V1,V2,V3) | in-{T}(V2,V3), pppp0-{T}(V0,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #7: input, references = 8, size of lhs = 3:
% 5.86/6.05 P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4), pppp0-{F}(V0,V1,V2) | in-{T}(V2,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #8: input, references = 6, size of lhs = 3:
% 5.86/6.05 P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4), pppp0-{F}(V0,V1,V2) | EXISTS V5: pppp5-{T}(V1,V2,V5,V4)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #9: input, references = 4, size of lhs = 5:
% 5.86/6.05 P_powerset-{F}(V0,V3), P_singleton-{F}(V0,V4), in-{F}(V6,V3), P_set_difference-{F}(V5,V4,V6), in-{F}(V5,V1) | pppp0-{T}(V0,V1,V6)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #10: input, references = 4, size of lhs = 3:
% 5.86/6.05 pppp5-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #11: input, references = 7, size of lhs = 2:
% 5.86/6.05 pppp5-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #12: input, references = 3, size of lhs = 1:
% 5.86/6.05 P_powerset-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #13: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #14: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #15: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #16: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #17: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #18: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #19: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #20: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #21: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #22: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #23: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #24: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp8-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #25: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp8-{F}(V0) | one_to_one-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #26: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp8-{F}(V0) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #27: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp8-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #28: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp10-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #29: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp10-{F}(V0) | pppp9-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #30: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #31: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #32: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #33: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #34: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | one_to_one-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #35: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #36: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp9-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #37: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp11-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #38: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp11-{F}(V0) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #39: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp11-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #40: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp12-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #41: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp12-{F}(V0) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #42: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp12-{F}(V0) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #43: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp12-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #44: input, references = 3, size of lhs = 3:
% 5.86/6.05 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #45: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp13-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #46: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp13-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #47: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp13-{F}(V0) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #48: input, references = 3, size of lhs = 3:
% 5.86/6.05 relation-{F}(V0), P_set_difference-{F}(V1,V0,V2), relation-{F}(V1) | relation-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #49: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp14-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #50: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp14-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #51: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #52: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp16-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #53: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp16-{F}(V0) | pppp15-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #54: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp15-{F}(V0) | natural-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #55: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp15-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #56: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp15-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #57: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp15-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #58: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #59: input, references = 3, size of lhs = 3:
% 5.86/6.05 P_succ-{F}(V0,V1), ordinal-{F}(V0), natural-{F}(V0) | pppp17-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #60: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp17-{F}(V0) | natural-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #61: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp17-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #62: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp17-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #63: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp17-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #64: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp17-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #65: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp18-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #66: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp18-{F}(V0) | finite-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #67: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp18-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #68: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | finite-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #69: input, references = 6, size of lhs = 1:
% 5.86/6.05 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #70: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp34-{F}(V0) | EXISTS V1: pppp19-{T}(V1,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #71: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp19-{F}(V0,V1) | finite-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #72: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp19-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #73: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp19-{F}(V0,V1) | element-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #74: input, references = 3, size of lhs = 3:
% 5.86/6.05 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #75: input, references = 3, size of lhs = 2:
% 5.86/6.05 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #76: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | function-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #77: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | relation-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #78: input, references = 3, size of lhs = 2:
% 5.86/6.05 empty-{F}(V0), ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #79: input, references = 3, size of lhs = 2:
% 5.86/6.05 empty-{F}(V0), ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #80: input, references = 3, size of lhs = 2:
% 5.86/6.05 empty-{F}(V0), ordinal-{F}(V0) | natural-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #81: input, references = 3, size of lhs = 2:
% 5.86/6.05 epsilon_transitive-{F}(V0), epsilon_connected-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #82: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp20-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #83: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp20-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #84: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp20-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #85: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp20-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #86: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #87: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #88: input, references = 3, size of lhs = 1:
% 5.86/6.05 empty-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #89: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp21-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #90: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp21-{F}(V0) | ordinal-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #91: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp21-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #92: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp21-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #93: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp21-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #94: input, references = 5, size of lhs = 1:
% 5.86/6.05 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp35-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #95: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp35-{F}(V0) | EXISTS V1: pppp22-{T}(V1,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #96: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp22-{F}(V0,V1), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #97: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp22-{F}(V0,V1) | element-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #98: input, references = 3, size of lhs = 1:
% 5.86/6.05 P_powerset-{F}(V0,V1) | EXISTS V2: pppp23-{T}(V2,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #99: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp23-{F}(V0,V1) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #100: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp23-{F}(V0,V1) | element-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #101: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp24-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #102: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp24-{F}(V0) | empty-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #103: input, references = 3, size of lhs = 0:
% 5.86/6.05 FALSE | EXISTS V0: pppp25-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #104: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp25-{F}(V0), empty-{F}(V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #105: input, references = 7, size of lhs = 2:
% 5.86/6.05 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #106: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_singleton-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #107: input, references = 3, size of lhs = 1:
% 5.86/6.05 P_singleton-{F}(V0,V1) | finite-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #108: input, references = 3, size of lhs = 2:
% 5.86/6.05 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_transitive-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #109: input, references = 3, size of lhs = 2:
% 5.86/6.05 ordinal-{F}(V0), element-{F}(V1,V0) | epsilon_connected-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #110: input, references = 3, size of lhs = 2:
% 5.86/6.05 ordinal-{F}(V0), element-{F}(V1,V0) | ordinal-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #111: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #112: input, references = 3, size of lhs = 1:
% 5.86/6.05 ordinal-{F}(V0) | epsilon_transitive-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #113: input, references = 3, size of lhs = 1:
% 5.86/6.05 ordinal-{F}(V0) | epsilon_connected-{T}(V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #114: input, references = 3, size of lhs = 3:
% 5.86/6.05 P_succ-{F}(V0,V1), ordinal-{F}(V0), empty-{F}(V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #115: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), ordinal-{F}(V0) | epsilon_transitive-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #116: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), ordinal-{F}(V0) | epsilon_connected-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #117: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), ordinal-{F}(V0) | ordinal-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #118: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #119: input, references = 3, size of lhs = 2:
% 5.86/6.05 P_singleton-{F}(V0,V1), empty-{F}(V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #120: input, references = 4, size of lhs = 6:
% 5.86/6.05 P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_singleton-{F}(V0,V4), ordinal-{F}(V0), element-{F}(V5,V3) | pppp36-{T}(V5,V4), pppp37-{T}(V0,V5)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #121: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp36-{F}(V0,V1) | EXISTS V2: pppp30-{T}(V0,V2,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #122: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp37-{F}(V0,V1) | EXISTS V2: pppp31-{T}(V0,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #123: input, references = 8, size of lhs = 2:
% 5.86/6.05 pppp31-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #124: input, references = 5, size of lhs = 2:
% 5.86/6.05 pppp31-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #125: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp30-{F}(V0,V1,V2) | EXISTS V3: pppp29-{T}(V0,V3,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #126: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp30-{F}(V0,V1,V2) | EXISTS V3: pppp26-{T}(V0,V1,V3,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #127: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3) | EXISTS V4: pppp28-{T}(V1,V4,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #128: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp29-{F}(V0,V2,V2,V3) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #129: input, references = 3, size of lhs = 1:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3) | EXISTS V4: pppp27-{T}(V0,V1,V4,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #130: input, references = 5, size of lhs = 2:
% 5.86/6.05 pppp28-{F}(V0,V1,V2), V1 == V2 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #131: input, references = 4, size of lhs = 2:
% 5.86/6.05 pppp28-{F}(V0,V1,V2), V1 == V0 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #132: input, references = 3, size of lhs = 3:
% 5.86/6.05 pppp27-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #133: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp27-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #134: input, references = 3, size of lhs = 3:
% 5.86/6.05 pppp26-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #135: input, references = 3, size of lhs = 2:
% 5.86/6.05 pppp26-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #136: input, references = 4, size of lhs = 3:
% 5.86/6.05 P_singleton-{F}(V0,V3), P_powerset-{F}(V0,V4), pppp1-{F}(V0,V1,V2) | EXISTS V5: pppp32-{T}(V1,V2,V5,V3)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #137: input, references = 4, size of lhs = 3:
% 5.86/6.05 P_singleton-{F}(V0,V3), P_powerset-{F}(V0,V4), pppp1-{F}(V0,V1,V2) | EXISTS V5: pppp33-{T}(V2,V5,V4)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #138: input, references = 8, size of lhs = 5:
% 5.86/6.05 P_singleton-{F}(V0,V3), P_powerset-{F}(V0,V4), P_set_difference-{F}(V5,V3,V6), in-{F}(V5,V1), in-{F}(V6,V4) | pppp1-{T}(V0,V1,V6)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #139: input, references = 4, size of lhs = 2:
% 5.86/6.05 pppp33-{F}(V0,V1,V2), V1 == V0 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #140: input, references = 4, size of lhs = 1:
% 5.86/6.05 pppp33-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #141: input, references = 4, size of lhs = 3:
% 5.86/6.05 pppp32-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #142: input, references = 4, size of lhs = 2:
% 5.86/6.05 pppp32-{F}(V0,V1,V2,V3), P_set_difference-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #143: input, references = 9, size of lhs = 1:
% 5.86/6.05 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #144: input, references = 5, size of lhs = 1:
% 5.86/6.05 #-{F} V0 | EXISTS V1: P_succ-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #145: input, references = 4, size of lhs = 2:
% 5.86/6.05 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #146: input, references = 4, size of lhs = 1:
% 5.86/6.05 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 number of initial rules = 147
% 5.86/6.05
% 5.86/6.05 Simplifiers:
% 5.86/6.05 #147: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #148: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 P_succ-{F}(V0,V1), P_succ-{F}(V0,V3), V1 == V3 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #149: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #150: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #151: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #152: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #153: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #154: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp3-{F}(V0,V1,V2), pppp3-{F}(V3,V4,V5), V0 == V3 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #155: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #156: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #157: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #158: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #159: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #160: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #161: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #162: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #163: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #164: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #165: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #166: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #167: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp16-{F}(V0), pppp16-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #168: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #169: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp19-{F}(V0,V1), pppp19-{F}(V2,V1), V0 == V2 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #170: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp20-{F}(V0), pppp20-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #171: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp21-{F}(V0), pppp21-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #172: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp22-{F}(V0,V1), pppp22-{F}(V2,V1), V0 == V2 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #173: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp23-{F}(V0,V1), pppp23-{F}(V2,V1), V0 == V2 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #174: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp24-{F}(V0), pppp24-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #175: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp25-{F}(V0), pppp25-{F}(V1), V0 == V1 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #176: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #177: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp26-{F}(V0,V1,V2,V3), pppp26-{F}(V0,V5,V6,V3), V1 == V5 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #178: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp27-{F}(V0,V1,V2,V3), pppp27-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #179: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp28-{F}(V0,V1,V2), pppp28-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #180: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3), pppp29-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #181: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3), pppp29-{F}(V0,V5,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #182: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp30-{F}(V0,V1,V2), pppp30-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #183: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp31-{F}(V0,V1,V2), pppp31-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #184: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp32-{F}(V0,V1,V2,V3), pppp32-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #185: unsound, references = 3, size of lhs = 3:
% 5.86/6.05 pppp33-{F}(V0,V1,V2), pppp33-{F}(V0,V4,V2), V1 == V4 | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 number of simplifiers = 39
% 5.86/6.05
% 5.86/6.05 Learnt:
% 5.86/6.05 #194: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp14-{F}(V0), P_powerset-{F}(V0,V1) | pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #195: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp18-{F}(V0), P_powerset-{F}(V0,V1) | pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #196: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp21-{F}(V0), P_powerset-{F}(V0,V1) | pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #203: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp15-{F}(V0), P_powerset-{F}(V0,V1) | pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #204: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp34-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #205: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp17-{F}(V0), P_powerset-{F}(V0,V1) | pppp34-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #219: disj( #6, #7+#105 ), references = 1, size of lhs = 3:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), pppp2-{F}(V0,V3,V1,V4) | in-{T}(V1,V4)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #220: disj( #6, #7+#5 ), references = 1, size of lhs = 4:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), pppp2-{F}(V0,V3,V4,V1), pppp2-{F}(V0,V3,V4,V5) | in-{T}(V4,V5)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #225: exists( #137, #139 ), references = 2, size of lhs = 3:
% 5.86/6.05 P_singleton-{F}(V0,V1), P_powerset-{F}(V0,V2), pppp1-{F}(V0,V3,V4) | pppp33-{T}(V4,V4,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #232: disj( #6, #7+#105 ), references = 1, size of lhs = 4:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), in-{F}(V1,V3), pppp2-{F}(V0,V4,V3,V5) | in-{T}(V3,V5)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #250: exists( #127, #130 ), references = 1, size of lhs = 1:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3) | pppp28-{T}(V1,V2,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #251: exists( #127, #131 ), references = 1, size of lhs = 1:
% 5.86/6.05 pppp29-{F}(V0,V1,V2,V3) | pppp28-{T}(V1,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #256: exists( #125, #252 ), references = 1, size of lhs = 1:
% 5.86/6.05 pppp30-{F}(V0,V1,V2) | pppp29-{T}(V0,V1,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #259: exists( #121, #257 ), references = 1, size of lhs = 1:
% 5.86/6.05 pppp36-{F}(V0,V1) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #261: disj( #120, exists( #121, #257 ) ), references = 2, size of lhs = 6:
% 5.86/6.05 ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_singleton-{F}(V0,V4), element-{F}(V5,V3) | pppp37-{T}(V0,V5)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #265: disj( #94, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp15-{F}(V0), P_powerset-{F}(V0,V1) | pppp35-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #266: disj( #94, input ), references = 1, size of lhs = 2:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp35-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #267: disj( #94, input ), references = 1, size of lhs = 2:
% 5.86/6.05 pppp17-{F}(V0), P_powerset-{F}(V0,V1) | pppp35-{T}(V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #275: disj( #6, input ), references = 1, size of lhs = 1:
% 5.86/6.05 pppp2-{F}(V0,V1,V2,V2) | pppp0-{T}(V0,V1,V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #287: disj( #6, input ), references = 1, size of lhs = 2:
% 5.86/6.05 in-{F}(V0,V1), pppp2-{F}(V2,V3,V1,V0) | pppp0-{T}(V2,V3,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #298: exists( #145, #141 ), references = 2, size of lhs = 1:
% 5.86/6.05 pppp32-{F}(V0,V1,V2,V3) | P_set_difference-{T}(V2,V3,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #299: exists( #145, #10 ), references = 5, size of lhs = 1:
% 5.86/6.05 pppp5-{F}(V0,V1,V2,V3) | P_set_difference-{T}(V2,V3,V1)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #307: exists( #8, #305 ), references = 1, size of lhs = 12:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V4), in-{F}(V5,V4), pppp0-{F}(V0,V6,V5), pppp31-{F}(V3,V6,V7), P_singleton-{F}(V8,V9), P_powerset-{F}(V8,V10), P_set_difference-{F}(V5,V9,V11), in-{F}(V11,V10), pppp31-{F}(V8,V7,V11) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #325: exists( #8, #323 ), references = 1, size of lhs = 7:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V4), in-{F}(V5,V4), pppp0-{F}(V0,V6,V5), pppp31-{F}(V3,V6,V5) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #357: exists( #136, #355 ), references = 4, size of lhs = 8:
% 5.86/6.05 P_singleton-{F}(V0,V1), P_powerset-{F}(V0,V2), P_singleton-{F}(V3,V1), P_powerset-{F}(V3,V4), in-{F}(V5,V4), pppp1-{F}(V0,V6,V5), in-{F}(V5,V7), pppp2-{F}(V3,V6,V5,V7) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #404: disj( #69, input ), references = 1, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp34-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #454: exists( #8, #450 ), references = 2, size of lhs = 9:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V4), in-{F}(V5,V4), pppp0-{F}(V0,V6,V5), pppp31-{F}(V3,V6,V7), pppp2-{F}(V8,V9,V5,V7), pppp0-{F}(V8,V9,V5) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #457: mergings( V7 == V9, V2 == V8; #453 ), references = 2, size of lhs = 11:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V4), P_singleton-{F}(V5,V2), P_powerset-{F}(V5,V6), in-{F}(V7,V4), in-{F}(V7,V6), pppp0-{F}(V0,V8,V7), pppp2-{F}(V5,V8,V7,V9), pppp31-{F}(V3,V8,V9) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #475: mergings( V5 == V0; #473 ), references = 1, size of lhs = 8:
% 5.86/6.05 in-{F}(V0,V1), P_powerset-{F}(V2,V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V4,V3), P_powerset-{F}(V4,V5), pppp31-{F}(V4,V6,V7), pppp2-{F}(V2,V6,V0,V7), pppp2-{F}(V2,V8,V0,V7) | pppp0-{T}(V2,V8,V0)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #491: disj( #94, input ), references = 1, size of lhs = 2:
% 5.86/6.05 P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp35-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #492: disj( #94, input ), references = 1, size of lhs = 2:
% 5.86/6.05 P_singleton-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp35-{T}(V2)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #533: mergings( V4 == V8, V5 == V7; #529 ), references = 1, size of lhs = 7:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V1), pppp31-{F}(V0,V4,V5), pppp2-{F}(V3,V4,V6,V5), pppp2-{F}(V3,V4,V6,V7) | in-{T}(V6,V7)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #537: mergings( V4 == V8, V5 == V7, V9 == V0; #530 ), references = 1, size of lhs = 7:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V1), pppp31-{F}(V0,V4,V5), pppp2-{F}(V3,V4,V6,V5), pppp2-{F}(V3,V4,V6,V7) | in-{T}(V6,V7)
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #549: mergings( V5 == V9, V9 == V12, V12 == V14, V6 == V8, V8 == V13, V11 == V13; #542 ), references = 1, size of lhs = 9:
% 5.86/6.05 P_powerset-{F}(V0,V1), P_singleton-{F}(V0,V2), P_powerset-{F}(V3,V1), P_singleton-{F}(V3,V2), P_singleton-{F}(V4,V2), P_powerset-{F}(V4,V1), pppp3-{F}(V3,V5,V6), pppp31-{F}(V0,V5,V7), pppp31-{F}(V4,V5,V7) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #557: mergings( V4 == V8, V7 == V8, V8 == V11, V5 == V6, V6 == V9, V9 == V10; #550 ), references = 2, size of lhs = 6:
% 5.86/6.05 pppp37-{F}(V0,V1), P_singleton-{F}(V0,V2), P_singleton-{F}(V3,V2), P_powerset-{F}(V3,V4), P_powerset-{F}(V0,V4), pppp3-{F}(V3,V1,V5) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #562: mergings( V8 == V9; #560 ), references = 1, size of lhs = 12:
% 5.86/6.05 pppp4-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), ordinal-{F}(V4), P_succ-{F}(V4,V5), P_powerset-{F}(V5,V6), P_powerset-{F}(V6,V3), P_singleton-{F}(V4,V7), P_singleton-{F}(V0,V7), P_powerset-{F}(V0,V8), P_powerset-{F}(V4,V8) | FALSE
% 5.86/6.05 (used 0 times, uses = {})
% 5.86/6.05
% 5.86/6.05 #565: mergings( V6 == V7; #563 ), references = 2, size of lhs = 10:
% 5.86/6.05 pppp4-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), ordinal-{F}(V3), P_succ-{F}(V3,V4), P_powerset-{F}(V4,V2), P_singleton-{F}(V3,V5), P_singleton-{F}(V0,V5), P_powerset-{F}(V0,V6), P_powerset-{F}(V3,V6) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #568: mergings( V2 == V4; #566 ), references = 2, size of lhs = 5:
% 5.86/6.06 pppp4-{F}(V0), ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V0,V3) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #571: exists( #143, #568 ), references = 1, size of lhs = 4:
% 5.86/6.06 pppp4-{F}(V0), ordinal-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V0,V2) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #573: exists( #144, #569 ), references = 1, size of lhs = 3:
% 5.86/6.06 pppp4-{F}(V0), ordinal-{F}(V0), P_powerset-{F}(V0,V1) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #575: exists( #143, #572 ), references = 2, size of lhs = 2:
% 5.86/6.06 pppp4-{F}(V0), ordinal-{F}(V0) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #593: exists( #143, #565 ), references = 1, size of lhs = 8:
% 5.86/6.06 pppp4-{F}(V0), P_succ-{F}(V0,V1), ordinal-{F}(V2), P_succ-{F}(V2,V1), P_singleton-{F}(V2,V3), P_singleton-{F}(V0,V3), P_powerset-{F}(V0,V4), P_powerset-{F}(V2,V4) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #630: exists( #143, #624 ), references = 1, size of lhs = 3:
% 5.86/6.06 pppp4-{F}(V0), P_succ-{F}(V0,V1), P_powerset-{F}(V1,V2) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #634: exists( #143, #627 ), references = 1, size of lhs = 2:
% 5.86/6.06 pppp4-{F}(V0), P_succ-{F}(V0,V1) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #638: exists( #144, #631 ), references = 1, size of lhs = 1:
% 5.86/6.06 pppp4-{F}(V0) | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 #640: exists( #0, #635 ), references = 1, size of lhs = 0:
% 5.86/6.06 FALSE | FALSE
% 5.86/6.06 (used 0 times, uses = {})
% 5.86/6.06
% 5.86/6.06 number of learnt formulas = 46
% 5.86/6.06
% 5.86/6.06
% 5.86/6.06 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.86/6.06
% 5.86/6.06 randbase = 1
%------------------------------------------------------------------------------