%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:17:13 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU115+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 : n025.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 18:57:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.36 GeoParameters:
% 0.12/0.36
% 0.12/0.36 tptp_input = 1
% 0.12/0.36 tptp_output = 0
% 0.12/0.36 nonempty = 1
% 0.12/0.36 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 RuleSystem INPUT:
% 0.12/0.36
% 0.12/0.36 Initial Rules:
% 0.12/0.36 #0: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | subset-{T}(V0,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #1: input, references = 3, size of lhs = 2:
% 0.12/0.36 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #2: input, references = 3, size of lhs = 1:
% 0.12/0.36 in-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #3: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_powerset-{F}(V1,V2), element-{F}(V0,V2), in-{F}(V3,V0) | element-{T}(V3,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #4: input, references = 3, size of lhs = 4:
% 0.12/0.36 P_powerset-{F}(V0,V1), empty-{F}(V0), element-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #5: input, references = 3, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #6: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #7: input, references = 3, size of lhs = 1:
% 0.12/0.36 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #8: input, references = 3, size of lhs = 1:
% 0.12/0.36 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #9: input, references = 3, size of lhs = 2:
% 0.12/0.36 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #10: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_finite_subsets-{F}(V1,V2), element-{F}(V0,V2) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #11: input, references = 4, size of lhs = 1:
% 0.12/0.36 empty-{F}(V0) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #12: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #13: input, references = 3, size of lhs = 1:
% 0.12/0.36 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #14: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_powerset-{F}(V1,V2), element-{F}(V0,V2) | subset-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #15: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_powerset-{F}(V1,V2), subset-{F}(V0,V1) | element-{T}(V0,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #16: input, references = 3, size of lhs = 2:
% 0.12/0.36 empty-{F}(V0), in-{F}(V1,V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #17: input, references = 3, size of lhs = 3:
% 0.12/0.36 empty-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #18: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #19: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #20: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | cup_closed-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #21: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | diff_closed-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #22: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | preboolean-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #23: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #24: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1) | cup_closed-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #25: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1) | diff_closed-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #26: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1) | preboolean-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #27: input, references = 3, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #28: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp2-{F}(V0) | pppp1-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #29: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp1-{F}(V0) | preboolean-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #30: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp1-{F}(V0) | diff_closed-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #31: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp1-{F}(V0) | cap_closed-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #32: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp1-{F}(V0) | cup_closed-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #33: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #34: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_singleton-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #35: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_singleton-{F}(V0,V1) | finite-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #36: input, references = 3, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #37: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp3-{F}(V0) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #38: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #39: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V1,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #40: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp5-{F}(V0,V1) | pppp4-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #41: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #42: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | natural-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #43: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | ordinal-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #44: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #45: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #46: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | one_to_one-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #47: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | function-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #48: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | relation-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #49: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | empty-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #50: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #51: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp12-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #52: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp12-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #53: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #54: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp6-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #55: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #56: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp13-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #57: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp13-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #58: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp7-{F}(V0,V1) | finite-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #59: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #60: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #61: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #62: input, references = 3, size of lhs = 2:
% 0.12/0.36 P_singleton-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #63: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | empty-{T}(V0), pppp14-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #64: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp14-{F}(V0) | EXISTS V1: pppp8-{T}(V1,V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #65: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp8-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #66: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #67: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_powerset-{F}(V0,V1) | EXISTS V2: pppp9-{T}(V2,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #68: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp9-{F}(V0,V1) | empty-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #69: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp9-{F}(V0,V1) | element-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #70: input, references = 4, size of lhs = 1:
% 0.12/0.36 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #71: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #72: input, references = 3, size of lhs = 1:
% 0.12/0.36 pppp10-{F}(V0) | empty-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #73: input, references = 3, size of lhs = 1:
% 0.12/0.36 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #74: input, references = 3, size of lhs = 2:
% 0.12/0.36 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #75: input, references = 3, size of lhs = 3:
% 0.12/0.36 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #76: input, references = 4, size of lhs = 3:
% 0.12/0.36 P_empty_set-{F}(V0), P_finite_subsets-{F}(V0,V2), P_singleton-{F}(V0,V2) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #77: input, references = 4, size of lhs = 7:
% 0.12/0.36 P_empty_set-{F}(V0), P_finite_subsets-{F}(V0,V1), P_singleton-{F}(V0,V2), P_finite_subsets-{F}(V3,V4), P_powerset-{F}(V3,V5), finite-{F}(V3), V4 == V5 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #78: input, references = 4, size of lhs = 5:
% 0.12/0.36 P_empty_set-{F}(V0), P_finite_subsets-{F}(V0,V1), P_singleton-{F}(V0,V2), P_powerset-{F}(V0,V3), V3 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #79: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #80: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_finite_subsets-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #81: input, references = 4, size of lhs = 1:
% 0.12/0.36 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #82: input, references = 4, size of lhs = 0:
% 0.12/0.36 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of initial rules = 83
% 0.12/0.36
% 0.12/0.36 Simplifiers:
% 0.12/0.36 #83: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #84: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #85: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_finite_subsets-{F}(V0,V1), P_finite_subsets-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #86: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #87: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #88: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #89: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #90: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #91: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #92: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #93: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #94: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #95: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #96: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #97: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp9-{F}(V0,V1), pppp9-{F}(V2,V1), V0 == V2 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #98: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #99: unsound, references = 3, size of lhs = 3:
% 0.12/0.36 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of simplifiers = 17
% 0.12/0.36
% 0.12/0.36 Learnt:
% 0.12/0.36 #101: exists( #81, #78 ), references = 3, size of lhs = 3:
% 0.12/0.36 P_empty_set-{F}(V0), P_finite_subsets-{F}(V0,V1), P_powerset-{F}(V0,V2) | P_singleton-{T}(V0,V2)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #106: mergings( V2 == V3; #104 ), references = 1, size of lhs = 3:
% 0.12/0.36 P_empty_set-{F}(V0), finite-{F}(V0), P_powerset-{F}(V0,V1) | P_finite_subsets-{T}(V0,V1)
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #110: exists( #79, #108 ), references = 1, size of lhs = 2:
% 0.12/0.36 finite-{F}(V0), P_empty_set-{F}(V0) | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 #114: exists( #82, #112 ), references = 1, size of lhs = 0:
% 0.12/0.36 FALSE | FALSE
% 0.12/0.36 (used 0 times, uses = {})
% 0.12/0.36
% 0.12/0.36 number of learnt formulas = 4
% 0.12/0.36
% 0.12/0.36
% 0.12/0.36 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36
% 0.12/0.36 randbase = 1
%------------------------------------------------------------------------------