%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU104+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 76.92s 77.13s
% Output : Refutation 76.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU104+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 : n020.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 18:52:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 76.92/77.13 GeoParameters:
% 76.92/77.13
% 76.92/77.13 tptp_input = 1
% 76.92/77.13 tptp_output = 0
% 76.92/77.13 nonempty = 1
% 76.92/77.13 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.92/77.13 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 76.92/77.13
% 76.92/77.13
% 76.92/77.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.92/77.13 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.92/77.13
% 76.92/77.13 RuleSystem INPUT:
% 76.92/77.13
% 76.92/77.13 Initial Rules:
% 76.92/77.13 #0: input, references = 7, size of lhs = 2:
% 76.92/77.13 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1: input, references = 3, size of lhs = 1:
% 76.92/77.13 empty-{F}(V0) | finite-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #2: input, references = 3, size of lhs = 1:
% 76.92/77.13 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #3: input, references = 3, size of lhs = 1:
% 76.92/77.13 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #4: input, references = 3, size of lhs = 3:
% 76.92/77.13 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #5: input, references = 3, size of lhs = 2:
% 76.92/77.13 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #6: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #7: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V1,V0,V3), V2 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #8: input, references = 6, size of lhs = 5:
% 76.92/77.13 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4), P_set_union2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #9: input, references = 7, size of lhs = 1:
% 76.92/77.13 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #10: input, references = 8, size of lhs = 1:
% 76.92/77.13 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #11: input, references = 3, size of lhs = 2:
% 76.92/77.13 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #12: input, references = 3, size of lhs = 3:
% 76.92/77.13 finite-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), finite-{F}(V1) | finite-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #13: input, references = 5, size of lhs = 2:
% 76.92/77.13 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #14: input, references = 3, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | empty-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #15: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #16: input, references = 5, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #17: input, references = 3, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #18: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #19: input, references = 3, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #20: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp2-{F}(V0) | finite-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #21: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #22: input, references = 3, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #23: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp4-{F}(V0) | pppp3-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #24: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp3-{F}(V0) | preboolean-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #25: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp3-{F}(V0) | diff_closed-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #26: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp3-{F}(V0) | cap_closed-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #27: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp3-{F}(V0) | cup_closed-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #28: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #29: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #30: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp16-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #31: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #32: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #33: input, references = 4, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #34: input, references = 5, size of lhs = 1:
% 76.92/77.13 pppp6-{F}(V0) | empty-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #35: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V2,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #36: input, references = 5, size of lhs = 1:
% 76.92/77.13 pppp8-{F}(V0,V1) | pppp7-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #37: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #38: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | natural-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #39: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | ordinal-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #40: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #41: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #42: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | one_to_one-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #43: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | function-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #44: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | relation-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #45: input, references = 5, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #46: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #47: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp9-{T}(V3,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #48: input, references = 4, size of lhs = 1:
% 76.92/77.13 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #49: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #50: input, references = 3, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #51: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #52: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp17-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #53: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp17-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #54: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #55: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #56: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #57: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp18-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #58: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp18-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #59: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp12-{F}(V0,V1) | finite-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #60: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #61: input, references = 3, size of lhs = 1:
% 76.92/77.13 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #62: input, references = 3, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #63: input, references = 3, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), preboolean-{F}(V1) | pppp0-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #64: input, references = 4, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), pppp0-{F}(V1) | preboolean-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #65: input, references = 3, size of lhs = 6:
% 76.92/77.13 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V4,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #66: input, references = 6, size of lhs = 6:
% 76.92/77.13 P_empty_set-{F}(V0), pppp0-{F}(V1), in-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), P_set_difference-{F}(V3,V2,V5), in-{F}(V3,V1) | in-{T}(V5,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #67: input, references = 7, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | pppp0-{T}(V1), pppp19-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #68: input, references = 5, size of lhs = 1:
% 76.92/77.13 pppp19-{F}(V0) | EXISTS V1: pppp14-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #69: input, references = 4, size of lhs = 1:
% 76.92/77.13 pppp14-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V2,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #70: input, references = 5, size of lhs = 1:
% 76.92/77.13 pppp14-{F}(V0,V1) | in-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #71: input, references = 4, size of lhs = 5:
% 76.92/77.13 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), in-{F}(V3,V0), in-{F}(V4,V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #72: input, references = 14, size of lhs = 3:
% 76.92/77.13 pppp13-{F}(V0,V1,V2), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4) | in-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #73: input, references = 4, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | EXISTS V1: pppp15-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #74: input, references = 4, size of lhs = 2:
% 76.92/77.13 pppp15-{F}(V0), preboolean-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #75: input, references = 10, size of lhs = 5:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V4,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #76: input, references = 12, size of lhs = 5:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_difference-{F}(V1,V2,V4), element-{F}(V2,V0) | in-{T}(V3,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #77: input, references = 3, size of lhs = 2:
% 76.92/77.13 pppp15-{F}(V0), empty-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #78: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #79: input, references = 27, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #80: input, references = 7, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #81: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #82: input, references = 3, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #83: input, references = 3, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #84: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #85: input, references = 19, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #86: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #87: input, references = 4, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #88: input, references = 9, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #89: input, references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #90: input, references = 8, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #91: input, references = 4, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V2,V1,V4), P_symmetric_difference-{F}(V1,V4,V5), V3 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #92: input, references = 3, size of lhs = 1:
% 76.92/77.13 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #93: input, references = 12, size of lhs = 2:
% 76.92/77.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #94: input, references = 9, size of lhs = 2:
% 76.92/77.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_symmetric_difference-{T}(V0,V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #95: input, references = 24, size of lhs = 2:
% 76.92/77.13 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #96: input, references = 4, size of lhs = 0:
% 76.92/77.13 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 number of initial rules = 97
% 76.92/77.13
% 76.92/77.13 Simplifiers:
% 76.92/77.13 #97: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #98: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #99: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #100: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 P_symmetric_difference-{F}(V0,V1,V2), P_symmetric_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #101: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #102: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #103: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #104: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #105: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #106: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #107: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #108: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #109: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #110: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #111: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #112: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #113: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #114: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #115: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V2), V1 == V4 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #116: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V4,V5), V2 == V5 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #117: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp14-{F}(V0,V1), pppp14-{F}(V0,V3), V1 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #118: unsound, references = 3, size of lhs = 3:
% 76.92/77.13 pppp15-{F}(V0), pppp15-{F}(V1), V0 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 number of simplifiers = 22
% 76.92/77.13
% 76.92/77.13 Learnt:
% 76.92/77.13 #120: exists( #93, #18 ), references = 2, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #127: mergings( V0 == V2; #124 ), references = 1, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #129: mergings( V0 == V2; #125 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #131: exists( #93, #78 ), references = 2, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #133: exists( #93, #6 ), references = 7, size of lhs = 1:
% 76.92/77.13 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #136: exists( #94, #86 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | P_symmetric_difference-{T}(V1,V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #137: exists( #94, #91 ), references = 7, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), P_set_difference-{F}(V2,V1,V4) | P_symmetric_difference-{T}(V1,V4,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #139: exists( #94, #7 ), references = 3, size of lhs = 1:
% 76.92/77.13 P_symmetric_difference-{F}(V0,V1,V2) | P_symmetric_difference-{T}(V1,V0,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #142: exists( #95, #140 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_symmetric_difference-{F}(V1,V1,V2) | P_set_difference-{T}(V1,V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #145: disj( #80, input ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #147: mergings( V0 == V3; #144 ), references = 3, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #156: exists( #95, #81 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #177: mergings( V0 == V3; #173 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp17-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #180: mergings( V0 == V3, V1 == V3; #174 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp17-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #182: mergings( V1 == V0; #175 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), pppp3-{F}(V0), P_powerset-{F}(V0,V1) | pppp17-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #185: exists( #95, #84 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #201: disj( #80, input ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), element-{F}(V1,V2), in-{F}(V2,V1) | empty-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #209: mergings( V0 == V3; #205 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V2,V3), element-{F}(V3,V2) | empty-{T}(V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #212: mergings( V0 == V3, V3 == V4; #206 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), element-{F}(V1,V2), V1 == V0, element-{F}(V2,V1) | empty-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #216: mergings( V0 == V3, V3 == V4, V1 == V4; #207 ), references = 1, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V0,V2), element-{F}(V2,V0) | empty-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #228: mergings( V0 == V3; #224 ), references = 4, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #231: mergings( V0 == V3, V2 == V3; #225 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #233: mergings( V2 == V0; #226 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), pppp3-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #261: mergings( V0 == V3; #257 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp18-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #264: mergings( V0 == V3, V1 == V3; #258 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #267: mergings( V0 == V3, V1 == V3; #259 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp18-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #296: mergings( V0 == V4; #293 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V2,V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #298: mergings( V0 == V4; #294 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V3,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #314: mergings( V2 == V5; #310 ), references = 4, size of lhs = 5:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #317: mergings( V2 == V5, V0 == V5; #312 ), references = 1, size of lhs = 6:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #338: mergings( V0 == V3; #334 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #341: mergings( V0 == V3, V1 == V3; #335 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #345: mergings( V2 == V3, V0 == V4, V1 == V4; #336 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp16-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #380: mergings( V0 == V2; #378 ), references = 2, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1) | pppp19-{T}(V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #420: mergings( V0 == V4; #418 ), references = 1, size of lhs = 2:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp9-{T}(V0,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #453: exists( #93, #8 ), references = 4, size of lhs = 3:
% 76.92/77.13 P_symmetric_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V3), P_set_difference-{F}(V1,V0,V4) | P_set_union2-{T}(V3,V4,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #479: exists( #68, #475 ), references = 1, size of lhs = 3:
% 76.92/77.13 pppp19-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #485: mergings( V0 == V2; #482 ), references = 1, size of lhs = 2:
% 76.92/77.13 empty-{F}(V0), P_empty_set-{F}(V1) | pppp0-{T}(V0)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #515: exists( #9, #513 ), references = 1, size of lhs = 3:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp1-{T}(V1,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #545: mergings( V2 == V3, V3 == V7; #542 ), references = 1, size of lhs = 6:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3 | pppp1-{T}(V4,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #555: mergings( V0 == V2; #553 ), references = 1, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), in-{F}(V1,V2), P_set_difference-{F}(V3,V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4) | pppp19-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #562: exists( #95, #560 ), references = 1, size of lhs = 3:
% 76.92/77.13 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0), P_symmetric_difference-{F}(V2,V1,V3) | P_set_difference-{T}(V2,V1,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #573: exists( #95, #569 ), references = 1, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), P_symmetric_difference-{F}(V2,V3,V1), P_set_difference-{F}(V2,V3,V4), P_powerset-{F}(V5,V4) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #575: mergings( V3 == V5; #571 ), references = 1, size of lhs = 5:
% 76.92/77.13 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0), P_set_difference-{F}(V3,V2,V4), V4 == V1 | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #578: mergings( V3 == V5, V7 == V5; #572 ), references = 1, size of lhs = 6:
% 76.92/77.13 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), V1 == V2, P_symmetric_difference-{F}(V3,V4,V0), P_set_difference-{F}(V4,V3,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #582: mergings( V3 == V5; #579 ), references = 1, size of lhs = 3:
% 76.92/77.13 empty-{F}(V0), P_empty_set-{F}(V1), P_symmetric_difference-{F}(V2,V3,V0) | P_set_difference-{T}(V3,V2,V1)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #584: mergings( V3 == V5; #580 ), references = 1, size of lhs = 4:
% 76.92/77.13 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_symmetric_difference-{F}(V3,V4,V0) | P_set_difference-{T}(V4,V3,V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #637: exists( #95, #635 ), references = 6, size of lhs = 4:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), P_symmetric_difference-{F}(V1,V2,V0), element-{F}(V2,V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #728: mergings( V3 == V4; #725 ), references = 3, size of lhs = 8:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V1), P_symmetric_difference-{F}(V3,V4,V1), in-{F}(V4,V5), pppp13-{F}(V2,V5,V6), P_set_union2-{F}(V5,V6,V7) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #767: mergings( V3 == V4; #764 ), references = 1, size of lhs = 8:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), pppp13-{F}(V1,V4,V3), P_symmetric_difference-{F}(V4,V3,V5), P_symmetric_difference-{F}(V2,V5,V1), P_set_union2-{F}(V4,V3,V6) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #770: mergings( V3 == V4, V4 == V5; #765 ), references = 1, size of lhs = 11:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V1), pppp13-{F}(V1,V4,V3), P_set_union2-{F}(V4,V3,V5), P_symmetric_difference-{F}(V4,V3,V6), P_symmetric_difference-{F}(V6,V7,V1), in-{F}(V7,V8), pppp13-{F}(V2,V8,V9), P_set_union2-{F}(V8,V9,V10) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #776: mergings( V3 == V4; #773 ), references = 2, size of lhs = 7:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), pppp13-{F}(V1,V4,V3), P_symmetric_difference-{F}(V4,V3,V5), P_symmetric_difference-{F}(V2,V5,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #784: mergings( V0 == V2, V2 == V3; #781 ), references = 1, size of lhs = 9:
% 76.92/77.13 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_set_union2-{F}(V3,V1,V4), P_set_difference-{F}(V3,V1,V5), in-{F}(V6,V2), P_set_union2-{F}(V5,V6,V7), P_set_difference-{F}(V5,V6,V8), in-{F}(V2,V8) | pppp19-{T}(V2)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #818: exists( #93, #816 ), references = 1, size of lhs = 7:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V1), P_symmetric_difference-{F}(V3,V4,V1), in-{F}(V4,V5), pppp13-{F}(V2,V5,V6) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #861: mergings( V3 == V4, V4 == V5; #857 ), references = 1, size of lhs = 8:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V3,V6,V7), P_set_union2-{F}(V6,V7,V8) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #864: mergings( V3 == V4, V4 == V8; #858 ), references = 1, size of lhs = 8:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), in-{F}(V4,V5), V4 == V3, pppp13-{F}(V2,V5,V6), P_set_union2-{F}(V5,V6,V7) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #871: mergings( V3 == V4, V4 == V5; #867 ), references = 1, size of lhs = 7:
% 76.92/77.13 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), in-{F}(V4,V5), in-{F}(V5,V6), pppp13-{F}(V3,V6,V7) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #874: mergings( V3 == V4, V4 == V8; #868 ), references = 1, size of lhs = 7:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), in-{F}(V4,V5), V4 == V3, pppp13-{F}(V2,V5,V6) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #883: mergings( V2 == V3, V3 == V4, V4 == V8; #879 ), references = 1, size of lhs = 6:
% 76.92/77.13 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), pppp13-{F}(V2,V4,V5), V4 == V3 | pppp1-{T}(V4,V3)
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #964: mergings( V3 == V4, V4 == V5, V5 == V6; #960 ), references = 1, size of lhs = 11:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V1), in-{F}(V4,V6), in-{F}(V6,V7), P_symmetric_difference-{F}(V5,V7,V1), pppp13-{F}(V4,V7,V8), P_set_union2-{F}(V7,V8,V9) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #989: mergings( V3 == V4, V4 == V5, V5 == V6; #983 ), references = 1, size of lhs = 12:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V1), P_symmetric_difference-{F}(V5,V6,V1), in-{F}(V6,V7), in-{F}(V7,V8), in-{F}(V8,V9), pppp13-{F}(V4,V9,V10), P_set_union2-{F}(V9,V10,V11) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #994: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #984 ), references = 1, size of lhs = 11:
% 76.92/77.13 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), in-{F}(V1,V5), in-{F}(V5,V6), in-{F}(V6,V7), in-{F}(V7,V8), pppp13-{F}(V4,V8,V9), P_set_union2-{F}(V8,V9,V10) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #999: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #985 ), references = 1, size of lhs = 14:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), element-{F}(V5,V1), pppp13-{F}(V1,V6,V5), P_symmetric_difference-{F}(V6,V5,V7), P_symmetric_difference-{F}(V8,V7,V1), in-{F}(V8,V9), in-{F}(V9,V10), in-{F}(V10,V11), pppp13-{F}(V4,V11,V12), P_set_union2-{F}(V11,V12,V13) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1086: exists( #95, #1084 ), references = 2, size of lhs = 7:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), P_symmetric_difference-{F}(V5,V4,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1090: mergings( V3 == V4; #1088 ), references = 2, size of lhs = 8:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_set_difference-{F}(V5,V2,V4), P_set_union2-{F}(V2,V5,V6), P_symmetric_difference-{F}(V3,V6,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1096: mergings( V3 == V4, V4 == V5; #1093 ), references = 1, size of lhs = 8:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), P_set_union2-{F}(V3,V2,V6), P_symmetric_difference-{F}(V5,V6,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1100: mergings( V3 == V4, V4 == V5; #1097 ), references = 2, size of lhs = 7:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), element-{F}(V4,V1), P_set_union2-{F}(V3,V2,V5), P_symmetric_difference-{F}(V4,V5,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1125: mergings( V3 == V4; #1121 ), references = 2, size of lhs = 9:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), element-{F}(V6,V1), P_set_union2-{F}(V4,V5,V7), P_symmetric_difference-{F}(V6,V7,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1127: mergings( V3 == V4; #1122 ), references = 2, size of lhs = 9:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), P_symmetric_difference-{F}(V5,V4,V6), element-{F}(V7,V1), P_symmetric_difference-{F}(V7,V6,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1129: mergings( V3 == V4; #1123 ), references = 2, size of lhs = 10:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), element-{F}(V5,V1), element-{F}(V6,V1), P_set_difference-{F}(V7,V5,V4), P_set_union2-{F}(V5,V7,V8), P_symmetric_difference-{F}(V6,V8,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1150: mergings( V3 == V4, V4 == V5; #1145 ), references = 1, size of lhs = 10:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V6,V1), element-{F}(V7,V1), P_set_union2-{F}(V5,V6,V8), P_symmetric_difference-{F}(V7,V8,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1153: mergings( V3 == V4, V4 == V5; #1146 ), references = 1, size of lhs = 10:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V6,V1), P_symmetric_difference-{F}(V6,V5,V7), element-{F}(V8,V1), P_symmetric_difference-{F}(V8,V7,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1156: mergings( V3 == V4, V4 == V5; #1147 ), references = 1, size of lhs = 11:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V6,V1), element-{F}(V7,V1), P_set_difference-{F}(V8,V6,V5), P_set_union2-{F}(V6,V8,V9), P_symmetric_difference-{F}(V7,V9,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1162: mergings( V3 == V4, V4 == V5; #1157 ), references = 1, size of lhs = 9:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), element-{F}(V5,V1), element-{F}(V6,V1), P_set_union2-{F}(V4,V5,V7), P_symmetric_difference-{F}(V6,V7,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1165: mergings( V3 == V4, V4 == V5; #1158 ), references = 1, size of lhs = 9:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), element-{F}(V5,V1), P_symmetric_difference-{F}(V5,V4,V6), element-{F}(V7,V1), P_symmetric_difference-{F}(V7,V6,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1168: mergings( V3 == V4, V4 == V5; #1159 ), references = 1, size of lhs = 10:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_union2-{F}(V3,V2,V4), element-{F}(V5,V1), element-{F}(V6,V1), P_set_difference-{F}(V7,V5,V4), P_set_union2-{F}(V5,V7,V8), P_symmetric_difference-{F}(V6,V8,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1182: exists( #95, #1180 ), references = 2, size of lhs = 7:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), pppp13-{F}(V0,V1,V2), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), P_set_union2-{F}(V1,V2,V4), in-{F}(V4,V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1185: exists( #94, #1183 ), references = 2, size of lhs = 6:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), pppp13-{F}(V0,V1,V2), element-{F}(V2,V0), P_set_union2-{F}(V1,V2,V3), in-{F}(V3,V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1192: exists( #95, #1188 ), references = 2, size of lhs = 8:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), pppp13-{F}(V0,V4,V5), element-{F}(V5,V0), P_set_union2-{F}(V4,V5,V3) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1193: exists( #95, #1189 ), references = 2, size of lhs = 9:
% 76.92/77.13 pppp15-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_symmetric_difference-{F}(V1,V2,V3), element-{F}(V4,V0), pppp13-{F}(V0,V4,V5), element-{F}(V5,V0), P_set_union2-{F}(V4,V5,V3), P_symmetric_difference-{F}(V4,V5,V6) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1218: mergings( V3 == V4; #1215 ), references = 1, size of lhs = 10:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V6,V1), pppp13-{F}(V1,V6,V7), element-{F}(V7,V1), P_set_union2-{F}(V6,V7,V5) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1220: mergings( V3 == V4; #1216 ), references = 1, size of lhs = 11:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_symmetric_difference-{F}(V2,V3,V4), P_set_union2-{F}(V3,V2,V5), element-{F}(V6,V1), pppp13-{F}(V1,V6,V7), element-{F}(V7,V1), P_set_union2-{F}(V6,V7,V5), P_symmetric_difference-{F}(V6,V7,V8) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1225: mergings( V3 == V4; #1223 ), references = 2, size of lhs = 6:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1), P_set_union2-{F}(V2,V3,V4) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1231: mergings( V3 == V4; #1228 ), references = 2, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V2,V3), element-{F}(V3,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1257: mergings( V3 == V4, V6 == V1; #1252 ), references = 1, size of lhs = 5:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V3,V2), P_set_union2-{F}(V3,V2,V4) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1264: mergings( V3 == V4; #1261 ), references = 1, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), element-{F}(V2,V1), pppp13-{F}(V1,V3,V2) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1268: mergings( V3 == V4; #1265 ), references = 2, size of lhs = 4:
% 76.92/77.13 P_empty_set-{F}(V0), pppp15-{F}(V1), pppp14-{F}(V1,V2), element-{F}(V2,V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1273: mergings( V2 == V3; #1271 ), references = 1, size of lhs = 3:
% 76.92/77.13 pppp19-{F}(V0), pppp15-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1279: mergings( V0 == V2, V2 == V3, V3 == V4; #1275 ), references = 1, size of lhs = 1:
% 76.92/77.13 P_empty_set-{F}(V0) | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 #1281: exists( #96, #1275 ), references = 1, size of lhs = 0:
% 76.92/77.13 FALSE | FALSE
% 76.92/77.13 (used 0 times, uses = {})
% 76.92/77.13
% 76.92/77.13 number of learnt formulas = 90
% 76.92/77.13
% 76.92/77.13
% 76.92/77.13 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.92/77.13
% 76.92/77.13 randbase = 1
%------------------------------------------------------------------------------