TSTP Solution File: SEU102+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU102+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 06:17:11 EDT 2022
% Result : Theorem 13.26s 13.48s
% Output : Refutation 13.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU102+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 : n017.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 17:49:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.26/13.48 GeoParameters:
% 13.26/13.48
% 13.26/13.48 tptp_input = 1
% 13.26/13.48 tptp_output = 0
% 13.26/13.48 nonempty = 1
% 13.26/13.48 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/13.48 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.26/13.48
% 13.26/13.48
% 13.26/13.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/13.48 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/13.48
% 13.26/13.48 RuleSystem INPUT:
% 13.26/13.48
% 13.26/13.48 Initial Rules:
% 13.26/13.48 #0: input, references = 4, size of lhs = 2:
% 13.26/13.48 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #1: input, references = 3, size of lhs = 1:
% 13.26/13.48 empty-{F}(V0) | finite-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #2: input, references = 3, size of lhs = 1:
% 13.26/13.48 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #3: input, references = 3, size of lhs = 1:
% 13.26/13.48 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #4: input, references = 3, size of lhs = 3:
% 13.26/13.48 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #5: input, references = 3, size of lhs = 2:
% 13.26/13.48 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #6: input, references = 4, size of lhs = 3:
% 13.26/13.48 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #7: input, references = 4, size of lhs = 4:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), P_prebool_difference-{F}(V0,V2,V1,V3), element-{F}(V2,V0) | empty-{T}(V0), element-{T}(V3,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #8: input, references = 3, size of lhs = 1:
% 13.26/13.48 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #9: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #10: input, references = 3, size of lhs = 2:
% 13.26/13.48 finite-{F}(V0), P_set_intersection2-{F}(V1,V0,V2) | finite-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #11: input, references = 3, size of lhs = 2:
% 13.26/13.48 finite-{F}(V0), P_set_intersection2-{F}(V0,V1,V2) | finite-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #12: input, references = 3, size of lhs = 2:
% 13.26/13.48 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #13: input, references = 3, size of lhs = 2:
% 13.26/13.48 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #14: input, references = 4, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | empty-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #15: input, references = 4, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #16: input, references = 3, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #17: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp1-{F}(V0) | finite-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #18: input, references = 3, size of lhs = 2:
% 13.26/13.48 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #19: input, references = 3, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #20: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp3-{F}(V0) | pppp2-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #21: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp2-{F}(V0) | preboolean-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #22: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp2-{F}(V0) | diff_closed-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #23: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp2-{F}(V0) | cap_closed-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #24: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp2-{F}(V0) | cup_closed-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #25: input, references = 4, size of lhs = 2:
% 13.26/13.48 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #26: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #27: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #28: input, references = 3, size of lhs = 2:
% 13.26/13.48 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #29: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #30: input, references = 4, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #31: input, references = 5, size of lhs = 1:
% 13.26/13.48 pppp5-{F}(V0) | empty-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #32: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V2,V3)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #33: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #34: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #35: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #36: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #37: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #38: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #39: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #40: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | function-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #41: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #42: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #43: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #44: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #45: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #46: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #47: input, references = 3, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #48: input, references = 3, size of lhs = 2:
% 13.26/13.48 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #49: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #50: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp16-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #51: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #52: input, references = 3, size of lhs = 2:
% 13.26/13.48 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #53: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #54: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #55: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #56: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #57: input, references = 3, size of lhs = 2:
% 13.26/13.48 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #58: input, references = 3, size of lhs = 1:
% 13.26/13.48 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #59: input, references = 6, size of lhs = 7:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), P_prebool_difference-{F}(V1,V3,V2,V4), P_set_difference-{F}(V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #60: input, references = 3, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #61: input, references = 4, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #62: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp14-{F}(V0) | EXISTS V1: pppp13-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #63: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp14-{F}(V0) | preboolean-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #64: input, references = 4, size of lhs = 2:
% 13.26/13.48 pppp14-{F}(V0), empty-{F}(V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #65: input, references = 5, size of lhs = 1:
% 13.26/13.48 pppp13-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V2,V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #66: input, references = 4, size of lhs = 1:
% 13.26/13.48 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #67: input, references = 5, size of lhs = 3:
% 13.26/13.48 pppp12-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V3), element-{F}(V3,V2) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #68: input, references = 5, size of lhs = 2:
% 13.26/13.48 pppp12-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V3) | element-{T}(V0,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #69: input, references = 3, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #70: input, references = 4, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #71: input, references = 4, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #72: input, references = 4, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #73: input, references = 3, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #74: input, references = 3, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #75: input, references = 5, size of lhs = 5:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V3,V4), P_set_intersection2-{F}(V1,V2,V5), V4 == V5 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #76: input, references = 4, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #77: input, references = 5, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #78: input, references = 3, size of lhs = 5:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #79: input, references = 7, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #80: input, references = 3, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #81: input, references = 5, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #82: input, references = 3, size of lhs = 1:
% 13.26/13.48 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #83: input, references = 10, size of lhs = 2:
% 13.26/13.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #84: input, references = 4, size of lhs = 3:
% 13.26/13.48 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_prebool_difference-{T}(V0,V1,V2,V3)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #85: input, references = 12, size of lhs = 2:
% 13.26/13.48 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #86: input, references = 4, size of lhs = 0:
% 13.26/13.48 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 number of initial rules = 87
% 13.26/13.48
% 13.26/13.48 Simplifiers:
% 13.26/13.48 #87: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #88: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #89: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #90: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 P_prebool_difference-{F}(V0,V1,V2,V3), P_prebool_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #91: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #92: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #93: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #94: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #95: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #96: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #97: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #98: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #99: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #100: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #101: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #102: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #103: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #104: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #105: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #106: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V2), V1 == V4 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #107: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V4,V5), V2 == V5 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #108: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #109: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp13-{F}(V0,V1), pppp13-{F}(V2,V3), V1 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #110: unsound, references = 3, size of lhs = 3:
% 13.26/13.48 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 number of simplifiers = 24
% 13.26/13.48
% 13.26/13.48 Learnt:
% 13.26/13.48 #112: exists( #83, #15 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #119: mergings( V0 == V2; #116 ), references = 1, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #121: mergings( V0 == V2; #117 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #123: exists( #83, #6 ), references = 5, size of lhs = 1:
% 13.26/13.48 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #126: exists( #85, #72 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #127: exists( #85, #75 ), references = 13, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_intersection2-{F}(V1,V2,V4) | P_set_difference-{T}(V1,V3,V4)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #145: exists( #83, #70 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #146: exists( #83, #75 ), references = 9, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V3,V4) | P_set_intersection2-{T}(V1,V2,V4)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #148: exists( #85, #76 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #155: exists( #84, #149 ), references = 13, size of lhs = 6:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), pppp2-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_difference-{F}(V3,V2,V4) | P_prebool_difference-{T}(V1,V3,V2,V4)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #157: mergings( V4 == V6; #153 ), references = 5, size of lhs = 6:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | P_prebool_difference-{T}(V0,V2,V1,V3)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #160: mergings( V4 == V6, V0 == V6; #154 ), references = 1, size of lhs = 7:
% 13.26/13.48 preboolean-{F}(V0), P_empty_set-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), empty-{F}(V4), V0 == V4 | P_prebool_difference-{T}(V0,V2,V1,V3)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #165: mergings( V0 == V3; #161 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #168: mergings( V0 == V3, V1 == V3; #162 ), references = 1, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #170: mergings( V1 == V0; #163 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), pppp2-{F}(V0), P_powerset-{F}(V0,V1) | pppp15-{T}(V1)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #176: mergings( V0 == V3; #172 ), references = 4, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #179: mergings( V0 == V3, V2 == V3; #173 ), references = 1, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #181: mergings( V2 == V0; #174 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), pppp2-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #191: mergings( V0 == V3; #187 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #194: mergings( V0 == V3, V1 == V3; #188 ), references = 1, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #197: mergings( V0 == V3, V1 == V3; #189 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #213: mergings( V0 == V4; #211 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #228: mergings( V0 == V4; #226 ), references = 1, size of lhs = 2:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #236: mergings( V0 == V3; #232 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #239: mergings( V0 == V3, V1 == V3; #233 ), references = 1, size of lhs = 4:
% 13.26/13.48 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #242: mergings( V0 == V3, V1 == V3; #234 ), references = 1, size of lhs = 3:
% 13.26/13.48 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #281: disj( #7, input ), references = 9, size of lhs = 5:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), P_powerset-{F}(V4,V0) | element-{T}(V3,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #282: disj( #7, input ), references = 7, size of lhs = 5:
% 13.26/13.48 preboolean-{F}(V0), pppp2-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3) | element-{T}(V3,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #283: disj( #7, input ), references = 3, size of lhs = 6:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | element-{T}(V3,V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #300: mergings( V3 == V4, V4 == V5, V5 == V10; #296 ), references = 3, size of lhs = 10:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_set_intersection2-{F}(V3,V1,V4), in-{F}(V0,V4), P_powerset-{F}(V5,V0), P_empty_set-{F}(V6), V0 == V6 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #395: mergings( V3 == V4, V4 == V5, V5 == V10, V10 == V11, V11 == V12, V12 == V21, V6 == V13; #387 ), references = 3, size of lhs = 19:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_set_intersection2-{F}(V3,V1,V4), P_powerset-{F}(V5,V0), P_powerset-{F}(V0,V6), P_powerset-{F}(V7,V0), element-{F}(V8,V0), in-{F}(V0,V9), P_set_intersection2-{F}(V8,V10,V9), in-{F}(V10,V4), P_powerset-{F}(V11,V0), element-{F}(V11,V6), P_powerset-{F}(V12,V0), P_empty_set-{F}(V13), V11 == V13, V0 == V13 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #420: mergings( V3 == V4, V4 == V5, V5 == V12; #415 ), references = 2, size of lhs = 12:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), P_powerset-{F}(V3,V0), element-{F}(V4,V0), P_set_intersection2-{F}(V4,V1,V5), P_set_difference-{F}(V4,V5,V6), in-{F}(V0,V6), P_powerset-{F}(V7,V0), P_empty_set-{F}(V8), V0 == V8 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #426: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V20, V4 == V9; #416 ), references = 2, size of lhs = 21:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), element-{F}(V4,V0), P_powerset-{F}(V5,V0), element-{F}(V6,V0), P_set_intersection2-{F}(V6,V4,V0), P_powerset-{F}(V7,V0), P_powerset-{F}(V0,V8), P_powerset-{F}(V9,V0), P_set_intersection2-{F}(V3,V1,V10), in-{F}(V0,V11), P_set_difference-{F}(V3,V10,V11), P_powerset-{F}(V12,V0), element-{F}(V12,V8), P_powerset-{F}(V13,V0), P_empty_set-{F}(V14), V12 == V14, V0 == V14 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #469: mergings( V3 == V4, V4 == V5, V5 == V13; #463 ), references = 2, size of lhs = 13:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), P_powerset-{F}(V3,V0), element-{F}(V4,V0), P_set_intersection2-{F}(V4,V1,V5), P_set_difference-{F}(V4,V5,V6), P_set_difference-{F}(V4,V6,V7), in-{F}(V0,V7), P_powerset-{F}(V8,V0), P_empty_set-{F}(V9), V0 == V9 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #473: mergings( V3 == V4, V4 == V5, V5 == V19; #464 ), references = 2, size of lhs = 22:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_set_intersection2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V4,V5), element-{F}(V6,V0), P_powerset-{F}(V7,V0), element-{F}(V8,V0), P_set_intersection2-{F}(V8,V6,V0), P_powerset-{F}(V9,V0), P_powerset-{F}(V0,V10), P_powerset-{F}(V11,V0), in-{F}(V0,V12), P_set_difference-{F}(V3,V5,V12), P_powerset-{F}(V13,V0), element-{F}(V13,V10), P_powerset-{F}(V14,V0), P_empty_set-{F}(V15), V13 == V15, V0 == V15 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #477: mergings( V3 == V4, V4 == V5, V5 == V18; #465 ), references = 2, size of lhs = 20:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_set_intersection2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V4,V5), P_powerset-{F}(V6,V0), P_powerset-{F}(V0,V7), P_powerset-{F}(V8,V0), element-{F}(V9,V0), in-{F}(V0,V10), P_set_intersection2-{F}(V9,V11,V10), in-{F}(V11,V5), P_powerset-{F}(V12,V0), element-{F}(V12,V7), P_powerset-{F}(V13,V0), P_empty_set-{F}(V14), V12 == V14, V0 == V14 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #507: mergings( V3 == V4, V4 == V5, V5 == V14; #501 ), references = 1, size of lhs = 14:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), P_powerset-{F}(V3,V0), element-{F}(V4,V0), P_set_intersection2-{F}(V4,V1,V5), P_set_difference-{F}(V4,V5,V6), P_set_difference-{F}(V4,V6,V7), P_set_difference-{F}(V4,V7,V8), in-{F}(V0,V8), P_powerset-{F}(V9,V0), P_empty_set-{F}(V10), V0 == V10 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #511: mergings( V3 == V4, V4 == V5, V5 == V17; #502 ), references = 1, size of lhs = 20:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), P_powerset-{F}(V3,V0), element-{F}(V4,V0), P_set_intersection2-{F}(V4,V1,V5), P_set_difference-{F}(V4,V5,V0), P_set_difference-{F}(V4,V0,V6), P_powerset-{F}(V7,V0), P_powerset-{F}(V0,V8), P_powerset-{F}(V9,V0), in-{F}(V0,V10), P_set_difference-{F}(V4,V6,V10), P_powerset-{F}(V11,V0), element-{F}(V11,V8), P_powerset-{F}(V12,V0), P_empty_set-{F}(V13), V11 == V13, V0 == V13 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #515: mergings( V3 == V4, V4 == V5, V5 == V19; #503 ), references = 1, size of lhs = 21:
% 13.26/13.48 pppp2-{F}(V0), preboolean-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0), element-{F}(V3,V0), P_set_intersection2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V4,V5), P_set_difference-{F}(V3,V5,V6), P_powerset-{F}(V7,V0), P_powerset-{F}(V0,V8), P_powerset-{F}(V9,V0), element-{F}(V10,V0), in-{F}(V0,V11), P_set_intersection2-{F}(V10,V12,V11), in-{F}(V12,V6), P_powerset-{F}(V13,V0), element-{F}(V13,V8), P_powerset-{F}(V14,V0), P_empty_set-{F}(V15), V13 == V15, V0 == V15 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #535: mergings( V3 == V4, V4 == V5; #532 ), references = 2, size of lhs = 10:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, element-{F}(V2,V1), P_powerset-{F}(V3,V1), element-{F}(V4,V1), P_set_intersection2-{F}(V4,V2,V5), P_powerset-{F}(V6,V1), pppp12-{F}(V7,V8,V1), P_set_intersection2-{F}(V7,V8,V5) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #540: mergings( V3 == V4, V4 == V5; #537 ), references = 1, size of lhs = 8:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, element-{F}(V2,V1), P_powerset-{F}(V3,V1), element-{F}(V4,V1), pppp12-{F}(V2,V4,V1), P_powerset-{F}(V5,V1) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #590: exists( #83, #587 ), references = 1, size of lhs = 7:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, P_powerset-{F}(V2,V1), element-{F}(V3,V1), P_powerset-{F}(V4,V1), pppp12-{F}(V5,V3,V1) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #593: exists( #65, #589 ), references = 1, size of lhs = 7:
% 13.26/13.48 P_empty_set-{F}(V0), preboolean-{F}(V1), V1 == V0, pppp13-{F}(V2,V1), element-{F}(V2,V1), P_powerset-{F}(V3,V1), P_powerset-{F}(V4,V1) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #693: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9; #688 ), references = 2, size of lhs = 8:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_intersection2-{F}(V2,V1,V3), P_empty_set-{F}(V4), V0 == V4, pppp12-{F}(V5,V6,V0), P_set_intersection2-{F}(V5,V6,V3) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #700: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #695 ), references = 1, size of lhs = 6:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), pppp12-{F}(V1,V2,V0), P_empty_set-{F}(V3), V0 == V3 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #769: exists( #83, #766 ), references = 1, size of lhs = 5:
% 13.26/13.48 preboolean-{F}(V0), element-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2, pppp12-{F}(V3,V1,V0) | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #772: exists( #65, #767 ), references = 1, size of lhs = 5:
% 13.26/13.48 preboolean-{F}(V0), pppp13-{F}(V1,V0), element-{F}(V1,V0), P_empty_set-{F}(V2), V0 == V2 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #777: exists( #62, #773 ), references = 1, size of lhs = 4:
% 13.26/13.48 pppp14-{F}(V0), preboolean-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #783: mergings( V0 == V2; #780 ), references = 1, size of lhs = 1:
% 13.26/13.48 P_empty_set-{F}(V0) | pppp14-{T}(V0)
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 #787: exists( #86, #785 ), references = 1, size of lhs = 0:
% 13.26/13.48 FALSE | FALSE
% 13.26/13.48 (used 0 times, uses = {})
% 13.26/13.48
% 13.26/13.48 number of learnt formulas = 50
% 13.26/13.48
% 13.26/13.48
% 13.26/13.48 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.26/13.48
% 13.26/13.48 randbase = 1
%------------------------------------------------------------------------------