%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:17:12 EDT 2022
% Result : Theorem 4.13s 4.33s
% Output : Refutation 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU112+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 19:33:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 4.13/4.33 GeoParameters:
% 4.13/4.33
% 4.13/4.33 tptp_input = 1
% 4.13/4.33 tptp_output = 0
% 4.13/4.33 nonempty = 1
% 4.13/4.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/4.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 4.13/4.33
% 4.13/4.33
% 4.13/4.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/4.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/4.33
% 4.13/4.33 RuleSystem INPUT:
% 4.13/4.33
% 4.13/4.33 Initial Rules:
% 4.13/4.33 #0: input, references = 5, size of lhs = 2:
% 4.13/4.33 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #1: input, references = 3, size of lhs = 1:
% 4.13/4.33 empty-{F}(V0) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #2: input, references = 3, size of lhs = 1:
% 4.13/4.33 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #3: input, references = 3, size of lhs = 1:
% 4.13/4.33 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #4: input, references = 3, size of lhs = 3:
% 4.13/4.33 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #5: input, references = 3, size of lhs = 2:
% 4.13/4.33 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #6: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_finite_subsets-{F}(V1,V2), element-{F}(V0,V2) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #7: input, references = 4, size of lhs = 3:
% 4.13/4.33 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #8: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #9: input, references = 6, size of lhs = 1:
% 4.13/4.33 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #10: input, references = 7, size of lhs = 1:
% 4.13/4.33 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #11: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #12: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #13: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #14: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #15: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #16: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | empty-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #17: input, references = 3, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), empty-{F}(V2) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #18: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | cup_closed-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #19: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | diff_closed-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #20: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2) | preboolean-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #21: input, references = 3, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #22: input, references = 3, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #23: input, references = 3, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), finite-{F}(V1), P_set_union2-{F}(V2,V1,V3), finite-{F}(V2) | finite-{T}(V3)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #24: input, references = 4, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #25: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #26: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp1-{F}(V0) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #27: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #28: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #29: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp3-{F}(V0) | pppp2-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #30: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp2-{F}(V0) | preboolean-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #31: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp2-{F}(V0) | diff_closed-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #32: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp2-{F}(V0) | cap_closed-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #33: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp2-{F}(V0) | cup_closed-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #34: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #35: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #36: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #37: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #38: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #39: input, references = 4, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #40: input, references = 4, size of lhs = 1:
% 4.13/4.33 pppp5-{F}(V0) | empty-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #41: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V2,V3)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #42: input, references = 5, size of lhs = 1:
% 4.13/4.33 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #43: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #44: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #45: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #46: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #47: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #48: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #49: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | function-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #50: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #51: input, references = 5, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #52: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #53: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #54: input, references = 4, size of lhs = 1:
% 4.13/4.33 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #55: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #56: input, references = 3, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #57: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #58: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #59: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp15-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #60: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #61: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #62: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #63: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #64: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp16-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #65: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #66: input, references = 3, size of lhs = 2:
% 4.13/4.33 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #67: input, references = 3, size of lhs = 1:
% 4.13/4.33 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #68: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #69: input, references = 4, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #70: input, references = 3, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #71: input, references = 6, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V3), P_finite_subsets-{F}(V2,V4), subset-{F}(V1,V2) | subset-{T}(V3,V4)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #72: input, references = 4, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #73: input, references = 4, size of lhs = 1:
% 4.13/4.33 pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #74: input, references = 4, size of lhs = 7:
% 4.13/4.33 pppp12-{F}(V0,V1), P_finite_subsets-{F}(V0,V2), P_finite_subsets-{F}(V1,V3), P_set_union2-{F}(V2,V3,V4), P_set_union2-{F}(V0,V1,V5), P_finite_subsets-{F}(V5,V6), subset-{F}(V4,V6) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #75: input, references = 4, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #76: input, references = 5, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #77: input, references = 12, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #78: input, references = 11, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #79: input, references = 5, size of lhs = 5:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #80: input, references = 6, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #81: input, references = 3, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #82: input, references = 5, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3) | subset-{T}(V1,V3)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #83: input, references = 4, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #84: input, references = 5, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), subset-{F}(V2,V1), P_set_union2-{F}(V3,V2,V4), subset-{F}(V3,V1) | subset-{T}(V4,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #85: input, references = 8, size of lhs = 1:
% 4.13/4.33 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #86: input, references = 6, size of lhs = 1:
% 4.13/4.33 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #87: input, references = 8, size of lhs = 2:
% 4.13/4.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #88: input, references = 4, size of lhs = 0:
% 4.13/4.33 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 number of initial rules = 89
% 4.13/4.33
% 4.13/4.33 Simplifiers:
% 4.13/4.33 #89: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #90: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #91: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #92: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #93: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #94: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #95: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #96: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #97: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #98: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #99: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #100: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #101: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #102: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #103: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #104: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #105: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #106: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #107: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #108: unsound, references = 3, size of lhs = 3:
% 4.13/4.33 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 number of simplifiers = 20
% 4.13/4.33
% 4.13/4.33 Learnt:
% 4.13/4.33 #110: exists( #87, #24 ), references = 1, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #117: mergings( V0 == V2; #115 ), references = 1, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #122: mergings( V0 == V3; #118 ), references = 10, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #125: mergings( V0 == V3, V2 == V3; #119 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #127: mergings( V2 == V0; #120 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), pppp1-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #141: mergings( V0 == V3; #137 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #144: mergings( V0 == V3, V1 == V3; #138 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #147: mergings( V0 == V3, V1 == V3; #139 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #150: exists( #87, #69 ), references = 1, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #156: exists( #87, #7 ), references = 3, size of lhs = 1:
% 4.13/4.33 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #169: mergings( V2 == V3, V3 == V4; #166 ), references = 3, size of lhs = 6:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), in-{F}(V4,V3), in-{F}(V5,V4) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #190: mergings( V0 == V3; #186 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #193: mergings( V0 == V3, V1 == V3; #187 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #196: mergings( V0 == V3, V1 == V3; #188 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #204: mergings( V2 == V3; #201 ), references = 2, size of lhs = 5:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #206: mergings( V2 == V3; #202 ), references = 3, size of lhs = 6:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), in-{F}(V4,V3), V4 == V0 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #229: mergings( V0 == V12, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #222 ), references = 3, size of lhs = 7:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), V3 == V0, P_set_union2-{F}(V1,V4,V3), subset-{F}(V4,V5), P_powerset-{F}(V5,V3) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #262: mergings( V0 == V3; #258 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #265: mergings( V0 == V3, V1 == V3; #259 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #269: mergings( V2 == V4, V0 == V3, V1 == V3; #260 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp15-{T}(V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #273: exists( #9, #271 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp0-{T}(V2,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #313: mergings( V0 == V4; #310 ), references = 1, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #315: mergings( V0 == V4; #311 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp7-{T}(V3,V1)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #349: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #344 ), references = 2, size of lhs = 11:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), P_finite_subsets-{F}(V1,V4), P_powerset-{F}(V5,V3), P_finite_subsets-{F}(V5,V6), P_powerset-{F}(V6,V7), V7 == V0, P_set_union2-{F}(V8,V4,V7), in-{F}(V8,V9), subset-{F}(V9,V7) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #371: mergings( V0 == V4; #369 ), references = 1, size of lhs = 2:
% 4.13/4.33 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #421: exists( #87, #419 ), references = 2, size of lhs = 8:
% 4.13/4.33 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_set_union2-{F}(V1,V2,V3), P_finite_subsets-{F}(V3,V4), P_finite_subsets-{F}(V1,V5), subset-{F}(V5,V4), P_finite_subsets-{F}(V2,V6), subset-{F}(V6,V4) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #455: mergings( V2 == V3; #453 ), references = 1, size of lhs = 5:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0 | pppp0-{T}(V3,V0)
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #518: mergings( V2 == V3, V3 == V4, V4 == V5; #512 ), references = 1, size of lhs = 8:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0, subset-{F}(V4,V3), in-{F}(V5,V4), in-{F}(V6,V5) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #522: mergings( V2 == V3, V3 == V4, V4 == V5; #513 ), references = 1, size of lhs = 8:
% 4.13/4.33 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), subset-{F}(V3,V2), V3 == V0, subset-{F}(V4,V3), in-{F}(V5,V4), V5 == V0 | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #525: mergings( V2 == V3, V3 == V4; #514 ), references = 1, size of lhs = 5:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, in-{F}(V2,V3), subset-{F}(V3,V1) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #655: mergings( V2 == V3, V3 == V4, V4 == V5; #650 ), references = 1, size of lhs = 9:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), V3 == V0, subset-{F}(V3,V4), V4 == V0, P_set_union2-{F}(V1,V5,V4), subset-{F}(V5,V6), P_powerset-{F}(V6,V4) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #659: mergings( V2 == V3, V3 == V4, V4 == V5; #651 ), references = 1, size of lhs = 13:
% 4.13/4.33 P_empty_set-{F}(V0), in-{F}(V1,V2), subset-{F}(V2,V3), V3 == V0, subset-{F}(V3,V4), V4 == V0, P_powerset-{F}(V5,V4), P_finite_subsets-{F}(V6,V5), P_powerset-{F}(V6,V7), subset-{F}(V8,V7), in-{F}(V9,V8), P_finite_subsets-{F}(V9,V10), P_set_union2-{F}(V1,V10,V4) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #771: mergings( V2 == V3, V3 == V4; #768 ), references = 2, size of lhs = 9:
% 4.13/4.33 P_empty_set-{F}(V0), P_finite_subsets-{F}(V1,V2), subset-{F}(V1,V3), subset-{F}(V4,V3), P_finite_subsets-{F}(V4,V5), P_finite_subsets-{F}(V6,V5), pppp12-{F}(V6,V7), P_finite_subsets-{F}(V7,V2), P_set_union2-{F}(V6,V7,V3) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #785: mergings( V3 == V4, V4 == V5; #782 ), references = 1, size of lhs = 4:
% 4.13/4.33 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_finite_subsets-{F}(V2,V3), P_finite_subsets-{F}(V1,V4) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #789: mergings( V2 == V3, V3 == V4; #786 ), references = 1, size of lhs = 3:
% 4.13/4.33 P_empty_set-{F}(V0), pppp12-{F}(V1,V2), P_finite_subsets-{F}(V1,V3) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #793: mergings( V2 == V3, V3 == V4; #790 ), references = 1, size of lhs = 3:
% 4.13/4.33 pppp13-{F}(V0), P_empty_set-{F}(V1), P_finite_subsets-{F}(V0,V2) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #797: mergings( V2 == V3, V3 == V4; #794 ), references = 1, size of lhs = 2:
% 4.13/4.33 pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #802: mergings( V0 == V2, V2 == V3, V3 == V4; #798 ), references = 1, size of lhs = 1:
% 4.13/4.33 P_empty_set-{F}(V0) | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 #804: exists( #88, #798 ), references = 1, size of lhs = 0:
% 4.13/4.33 FALSE | FALSE
% 4.13/4.33 (used 0 times, uses = {})
% 4.13/4.33
% 4.13/4.33 number of learnt formulas = 39
% 4.13/4.33
% 4.13/4.33
% 4.13/4.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.13/4.33
% 4.13/4.33 randbase = 1
%------------------------------------------------------------------------------