TSTP Solution File: SEU114+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU114+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:17:13 EDT 2022
% Result : Theorem 4.68s 4.84s
% Output : Refutation 4.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU114+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 : n005.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 19:28:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 4.68/4.84 GeoParameters:
% 4.68/4.84
% 4.68/4.84 tptp_input = 1
% 4.68/4.84 tptp_output = 0
% 4.68/4.84 nonempty = 1
% 4.68/4.84 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/4.84 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.68/4.84
% 4.68/4.84
% 4.68/4.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/4.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/4.84
% 4.68/4.84 RuleSystem INPUT:
% 4.68/4.84
% 4.68/4.84 Initial Rules:
% 4.68/4.84 #0: input, references = 6, size of lhs = 2:
% 4.68/4.84 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #1: input, references = 3, size of lhs = 1:
% 4.68/4.84 empty-{F}(V0) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #2: input, references = 3, size of lhs = 1:
% 4.68/4.84 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #3: input, references = 3, size of lhs = 1:
% 4.68/4.84 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #4: input, references = 5, size of lhs = 3:
% 4.68/4.84 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #5: input, references = 3, size of lhs = 2:
% 4.68/4.84 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #6: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_finite_subsets-{F}(V1,V2), element-{F}(V0,V2) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #7: input, references = 3, size of lhs = 1:
% 4.68/4.84 #-{F} V1 | pppp0-{T}(V1,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #8: input, references = 4, size of lhs = 2:
% 4.68/4.84 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #9: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #10: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #11: input, references = 4, size of lhs = 2:
% 4.68/4.84 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #12: input, references = 8, size of lhs = 1:
% 4.68/4.84 subset-{F}(V0,V1) | pppp1-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #13: input, references = 6, size of lhs = 1:
% 4.68/4.84 pppp1-{F}(V0,V1) | subset-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #14: input, references = 7, size of lhs = 2:
% 4.68/4.84 pppp1-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #15: input, references = 8, size of lhs = 2:
% 4.68/4.84 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp19-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #16: input, references = 6, size of lhs = 1:
% 4.68/4.84 pppp19-{F}(V0,V1) | EXISTS V2: pppp4-{T}(V0,V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #17: input, references = 12, size of lhs = 2:
% 4.68/4.84 pppp4-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #18: input, references = 6, size of lhs = 1:
% 4.68/4.84 pppp4-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #19: input, references = 5, size of lhs = 2:
% 4.68/4.84 preboolean-{F}(V2), P_finite_subsets-{F}(V1,V2) | pppp3-{T}(V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #20: input, references = 3, size of lhs = 4:
% 4.68/4.84 preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), pppp3-{F}(V1,V0), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #21: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp3-{F}(V0,V1), in-{F}(V2,V1) | pppp2-{T}(V0,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #22: input, references = 10, size of lhs = 2:
% 4.68/4.84 pppp3-{F}(V0,V1), pppp2-{F}(V0,V2) | in-{T}(V2,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #23: input, references = 6, size of lhs = 2:
% 4.68/4.84 #-{F} V0, #-{F} V1 | pppp3-{T}(V0,V1), pppp20-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #24: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp20-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #25: input, references = 4, size of lhs = 3:
% 4.68/4.84 pppp5-{F}(V0,V1,V2), pppp2-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #26: input, references = 5, size of lhs = 1:
% 4.68/4.84 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp2-{T}(V0,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #27: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp2-{F}(V0,V1) | subset-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #28: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp2-{F}(V0,V1) | finite-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #29: input, references = 6, size of lhs = 2:
% 4.68/4.84 subset-{F}(V1,V0), finite-{F}(V1) | pppp2-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #30: input, references = 5, size of lhs = 1:
% 4.68/4.84 P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #31: input, references = 7, size of lhs = 1:
% 4.68/4.84 #-{F} V0 | EXISTS V1: pppp6-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #32: input, references = 12, size of lhs = 1:
% 4.68/4.84 pppp6-{F}(V0,V1) | element-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #33: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #34: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #35: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #36: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #37: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #38: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | empty-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #39: input, references = 3, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #40: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #41: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #42: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #43: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #44: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp7-{F}(V0) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #45: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #46: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #47: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp9-{F}(V0) | pppp8-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #48: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp8-{F}(V0) | preboolean-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #49: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp8-{F}(V0) | diff_closed-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #50: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp8-{F}(V0) | cap_closed-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #51: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp8-{F}(V0) | cup_closed-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #52: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #53: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp21-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #54: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp21-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #55: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #56: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #57: input, references = 4, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #58: input, references = 5, size of lhs = 1:
% 4.68/4.84 pppp11-{F}(V0) | empty-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #59: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #60: input, references = 4, size of lhs = 1:
% 4.68/4.84 pppp13-{F}(V0,V1) | pppp12-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #61: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #62: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | natural-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #63: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | ordinal-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #64: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #65: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #66: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | one_to_one-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #67: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | function-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #68: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | relation-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #69: input, references = 4, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | empty-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #70: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #71: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp14-{T}(V3,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #72: input, references = 5, size of lhs = 1:
% 4.68/4.84 pppp14-{F}(V0,V1) | empty-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #73: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp14-{F}(V0,V1) | element-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #74: input, references = 3, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #75: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #76: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp22-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #77: input, references = 5, size of lhs = 1:
% 4.68/4.84 pppp22-{F}(V0) | EXISTS V1: pppp16-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #78: input, references = 4, size of lhs = 1:
% 4.68/4.84 pppp16-{F}(V0,V1) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #79: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp16-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #80: input, references = 5, size of lhs = 1:
% 4.68/4.84 pppp16-{F}(V0,V1) | element-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #81: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp23-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #82: input, references = 4, size of lhs = 1:
% 4.68/4.84 pppp23-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #83: input, references = 3, size of lhs = 1:
% 4.68/4.84 pppp17-{F}(V0,V1) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #84: input, references = 3, size of lhs = 2:
% 4.68/4.84 pppp17-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #85: input, references = 4, size of lhs = 1:
% 4.68/4.84 pppp17-{F}(V0,V1) | element-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #86: input, references = 3, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #87: input, references = 3, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), finite-{F}(V1), subset-{F}(V2,V1) | finite-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #88: input, references = 8, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #89: input, references = 5, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), P_powerset-{F}(V1,V3) | subset-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #90: input, references = 4, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | EXISTS V1: pppp18-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #91: input, references = 5, size of lhs = 3:
% 4.68/4.84 pppp18-{F}(V0), P_finite_subsets-{F}(V0,V2), P_powerset-{F}(V0,V2) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #92: input, references = 5, size of lhs = 3:
% 4.68/4.84 pppp18-{F}(V0), P_finite_subsets-{F}(V0,V1), P_powerset-{F}(V0,V2) | finite-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #93: input, references = 4, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #94: input, references = 10, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #95: input, references = 4, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #96: input, references = 3, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #97: input, references = 5, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #98: input, references = 6, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #99: input, references = 5, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #100: input, references = 5, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #101: input, references = 6, size of lhs = 1:
% 4.68/4.84 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #102: input, references = 6, size of lhs = 1:
% 4.68/4.84 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #103: input, references = 4, size of lhs = 0:
% 4.68/4.84 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 number of initial rules = 104
% 4.68/4.84
% 4.68/4.84 Simplifiers:
% 4.68/4.84 #104: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #105: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #106: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #107: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #108: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp4-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #109: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #110: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp6-{F}(V0,V1), pppp6-{F}(V0,V3), V1 == V3 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #111: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #112: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #113: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #114: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #115: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #116: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #117: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp13-{F}(V0,V1), pppp13-{F}(V0,V3), V1 == V3 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #118: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #119: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #120: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp16-{F}(V0,V1), pppp16-{F}(V2,V1), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #121: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #122: unsound, references = 3, size of lhs = 3:
% 4.68/4.84 pppp18-{F}(V0), pppp18-{F}(V1), V0 == V1 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 number of simplifiers = 19
% 4.68/4.84
% 4.68/4.84 Learnt:
% 4.68/4.84 #137: mergings( V0 == V2; #134 ), references = 1, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #139: mergings( V0 == V2; #135 ), references = 1, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #159: disj( #23, #22+#0 ), references = 1, size of lhs = 1:
% 4.68/4.84 pppp2-{F}(V0,V1) | pppp20-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #160: disj( #23, #22+#99 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), pppp2-{F}(V2,V3) | pppp20-{T}(V2,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #161: disj( #23, #22+#97 ), references = 1, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp2-{F}(V4,V5) | pppp20-{T}(V4,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #176: disj( #23, input ), references = 1, size of lhs = 3:
% 4.68/4.84 preboolean-{F}(V0), P_finite_subsets-{F}(V1,V2), V0 == V2 | pppp20-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #183: disj( #15, #14+#0 ), references = 1, size of lhs = 1:
% 4.68/4.84 in-{F}(V0,V1) | pppp19-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #184: disj( #15, #14+#99 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp19-{T}(V3,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #185: disj( #15, #14+#25 ), references = 1, size of lhs = 3:
% 4.68/4.84 pppp2-{F}(V0,V1), in-{F}(V1,V2), pppp5-{F}(V0,V3,V1) | pppp19-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #207: disj( #53, input ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp21-{T}(V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #209: mergings( V0 == V3; #206 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp21-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #224: disj( #76, input ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp22-{T}(V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #226: mergings( V0 == V3; #223 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp22-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #245: disj( #81, input ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp23-{T}(V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #247: mergings( V0 == V3; #244 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp23-{T}(V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #259: disj( #93, input ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #261: mergings( V0 == V3; #258 ), references = 8, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #290: mergings( V0 == V4; #288 ), references = 1, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V2,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #319: mergings( V2 == V3; #317 ), references = 3, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #325: mergings( V3 == V4, V4 == V5; #322 ), references = 8, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp19-{F}(V2,V3) | pppp4-{T}(V2,V3,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #374: mergings( V2 == V3, V3 == V4; #371 ), references = 1, size of lhs = 6:
% 4.68/4.84 pppp22-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), pppp3-{F}(V4,V3), P_powerset-{F}(V4,V0) | pppp16-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #396: mergings( V0 == V4; #393 ), references = 1, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp14-{T}(V0,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #398: mergings( V0 == V4; #394 ), references = 1, size of lhs = 3:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp14-{T}(V1,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #418: disj( #15, #13+#11+#8 ), references = 7, size of lhs = 2:
% 4.68/4.84 subset-{F}(V0,V1), V1 == V0 | pppp19-{T}(V1,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #427: mergings( V2 == V3; #425 ), references = 1, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), pppp2-{F}(V1,V0), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3) | P_finite_subsets-{T}(V1,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #431: mergings( V2 == V3; #429 ), references = 1, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), pppp18-{F}(V1), pppp2-{F}(V1,V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #453: mergings( V2 == V3, V3 == V4; #450 ), references = 5, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V2), V3 == V0 | pppp6-{T}(V3,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #467: mergings( V2 == V5, V5 == V6, V6 == V7, V7 == V9; #462 ), references = 1, size of lhs = 6:
% 4.68/4.84 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V1), P_empty_set-{F}(V4) | pppp6-{T}(V2,V1), pppp6-{T}(V2,V4)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #490: mergings( V2 == V5, V5 == V7; #487 ), references = 1, size of lhs = 7:
% 4.68/4.84 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4) | pppp17-{T}(V2,V0), pppp17-{T}(V4,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #494: mergings( V1 == V4, V4 == V6; #491 ), references = 1, size of lhs = 8:
% 4.68/4.84 pppp23-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), empty-{F}(V4) | pppp17-{T}(V2,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #501: disj( #15, #325+#17 ), references = 1, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V0,V3) | pppp1-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #513: mergings( V2 == V5, V5 == V7; #510 ), references = 1, size of lhs = 6:
% 4.68/4.84 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), empty-{F}(V3), P_powerset-{F}(V3,V1), P_empty_set-{F}(V4) | pppp6-{T}(V2,V1), pppp6-{T}(V2,V4)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #534: mergings( V3 == V4, V4 == V7, V7 == V9; #530 ), references = 1, size of lhs = 7:
% 4.68/4.84 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp19-{F}(V2,V3), empty-{F}(V4), P_powerset-{F}(V4,V1), P_empty_set-{F}(V5) | pppp4-{T}(V2,V3,V1), pppp4-{T}(V2,V3,V5)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #539: mergings( V0 == V1, V1 == V6, V6 == V8; #535 ), references = 2, size of lhs = 8:
% 4.68/4.84 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), pppp19-{F}(V2,V3), empty-{F}(V4), P_powerset-{F}(V4,V1), P_empty_set-{F}(V5), in-{F}(V5,V3) | pppp4-{T}(V2,V3,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #564: mergings( V2 == V5, V5 == V7; #561 ), references = 1, size of lhs = 7:
% 4.68/4.84 pppp22-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4) | pppp16-{T}(V2,V0), pppp16-{T}(V4,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #568: mergings( V1 == V4, V4 == V6; #565 ), references = 1, size of lhs = 8:
% 4.68/4.84 pppp22-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V0), empty-{F}(V3), P_powerset-{F}(V3,V2), P_empty_set-{F}(V4), empty-{F}(V4) | pppp16-{T}(V2,V0)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #591: mergings( V2 == V3; #589 ), references = 2, size of lhs = 5:
% 4.68/4.84 pppp18-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), subset-{F}(V2,V3), pppp3-{F}(V3,V2) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #594: exists( #101, #592 ), references = 2, size of lhs = 5:
% 4.68/4.84 P_empty_set-{F}(V0), pppp18-{F}(V1), subset-{F}(V2,V1), subset-{F}(V2,V3), pppp3-{F}(V3,V2) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #609: disj( #23, exists( #101, #592 ) ), references = 1, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), pppp18-{F}(V1), subset-{F}(V2,V1), subset-{F}(V2,V3) | pppp20-{T}(V3,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #610: disj( #23, mergings( V2 == V3; #589 ) ), references = 1, size of lhs = 4:
% 4.68/4.84 pppp18-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), subset-{F}(V2,V3) | pppp20-{T}(V3,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #634: disj( #15, #539+#17 ), references = 1, size of lhs = 8:
% 4.68/4.84 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), in-{F}(V1,V3), empty-{F}(V4), P_powerset-{F}(V4,V1), P_empty_set-{F}(V5), in-{F}(V5,V3) | pppp1-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #664: disj( #15, #13+#591 ), references = 1, size of lhs = 4:
% 4.68/4.84 pppp18-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), pppp3-{F}(V3,V2) | pppp19-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #665: disj( #15, #13+#594 ), references = 1, size of lhs = 4:
% 4.68/4.84 P_empty_set-{F}(V0), pppp18-{F}(V1), subset-{F}(V2,V1), pppp3-{F}(V3,V2) | pppp19-{T}(V2,V3)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #696: disj( #26, input ), references = 1, size of lhs = 2:
% 4.68/4.84 in-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | pppp2-{T}(V2,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #801: disj( #26, input ), references = 1, size of lhs = 1:
% 4.68/4.84 pppp5-{F}(V0,V1,V1) | pppp2-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #802: disj( #26, input ), references = 1, size of lhs = 2:
% 4.68/4.84 pppp5-{F}(V0,V1,V2), pppp4-{F}(V3,V1,V2) | pppp2-{T}(V0,V2)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #803: disj( #26, input ), references = 1, size of lhs = 3:
% 4.68/4.84 pppp2-{F}(V0,V1), pppp5-{F}(V0,V2,V1), pppp5-{F}(V3,V2,V1) | pppp2-{T}(V3,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #892: mergings( V3 == V5; #890 ), references = 1, size of lhs = 6:
% 4.68/4.84 finite-{F}(V0), P_powerset-{F}(V0,V1), pppp19-{F}(V1,V2), P_empty_set-{F}(V3), P_powerset-{F}(V4,V1), pppp3-{F}(V4,V2) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #902: mergings( V3 == V5, V2 == V4, V4 == V6; #898 ), references = 1, size of lhs = 3:
% 4.68/4.84 pppp18-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | P_finite_subsets-{T}(V0,V1)
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #907: mergings( V2 == V3, V3 == V4; #904 ), references = 1, size of lhs = 2:
% 4.68/4.84 P_empty_set-{F}(V0), pppp18-{F}(V1) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #912: mergings( V0 == V2, V2 == V3, V3 == V4; #908 ), references = 1, size of lhs = 1:
% 4.68/4.84 P_empty_set-{F}(V0) | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 #914: exists( #103, #908 ), references = 1, size of lhs = 0:
% 4.68/4.84 FALSE | FALSE
% 4.68/4.84 (used 0 times, uses = {})
% 4.68/4.84
% 4.68/4.84 number of learnt formulas = 52
% 4.68/4.84
% 4.68/4.84
% 4.68/4.84 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.68/4.84
% 4.68/4.84 randbase = 1
%------------------------------------------------------------------------------