%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.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 06:17:46 EDT 2022
% Result : Theorem 16.51s 16.69s
% Output : Refutation 16.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n022.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 18:38:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.51/16.69 GeoParameters:
% 16.51/16.69
% 16.51/16.69 tptp_input = 1
% 16.51/16.69 tptp_output = 0
% 16.51/16.69 nonempty = 1
% 16.51/16.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/16.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 16.51/16.69
% 16.51/16.69
% 16.51/16.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/16.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/16.69
% 16.51/16.69 RuleSystem INPUT:
% 16.51/16.69
% 16.51/16.69 Initial Rules:
% 16.51/16.69 #0: input, references = 3, size of lhs = 2:
% 16.51/16.69 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #1: input, references = 3, size of lhs = 1:
% 16.51/16.69 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #2: input, references = 3, size of lhs = 1:
% 16.51/16.69 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #3: input, references = 3, size of lhs = 1:
% 16.51/16.69 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #4: input, references = 3, size of lhs = 1:
% 16.51/16.69 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #5: input, references = 3, size of lhs = 0:
% 16.51/16.69 FALSE | EXISTS V0: pppp1-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #6: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp1-{F}(V0) | pppp0-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #7: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp0-{F}(V0) | v5_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #8: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp0-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #9: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp0-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #10: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp0-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #11: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp0-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #12: input, references = 3, size of lhs = 2:
% 16.51/16.69 pppp0-{F}(V0), empty-{F}(V0) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #13: input, references = 3, size of lhs = 2:
% 16.51/16.69 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #14: input, references = 3, size of lhs = 2:
% 16.51/16.69 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #15: input, references = 3, size of lhs = 2:
% 16.51/16.69 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #16: input, references = 3, size of lhs = 2:
% 16.51/16.69 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #17: input, references = 3, size of lhs = 2:
% 16.51/16.69 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #18: input, references = 3, size of lhs = 2:
% 16.51/16.69 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #19: input, references = 3, size of lhs = 2:
% 16.51/16.69 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #20: input, references = 3, size of lhs = 2:
% 16.51/16.69 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #21: input, references = 3, size of lhs = 2:
% 16.51/16.69 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #22: input, references = 3, size of lhs = 2:
% 16.51/16.69 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #23: input, references = 3, size of lhs = 2:
% 16.51/16.69 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp2-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #24: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp2-{F}(V0) | v1_rat_1-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #25: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp2-{F}(V0) | v1_int_1-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #26: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp2-{F}(V0) | v1_xreal_0-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #27: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp2-{F}(V0) | natural-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #28: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp2-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #29: input, references = 3, size of lhs = 1:
% 16.51/16.69 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #30: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | v5_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #31: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #32: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #33: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #34: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #35: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp3-{F}(V0) | empty-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #36: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v1_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #37: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #38: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #39: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #40: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #41: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #42: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #43: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #44: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #45: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v4_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #46: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v5_membered-{F}(V1), element-{F}(V3,V2) | pppp4-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #47: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #48: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #49: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #50: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #51: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #52: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v1_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #53: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #54: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #55: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #56: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #57: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v3_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #58: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #59: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #60: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v3_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #61: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | v4_membered-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #62: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), v5_membered-{F}(V1), P_set_difference-{F}(V1,V2,V3) | pppp5-{T}(V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #63: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #64: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #65: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #66: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #67: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #68: input, references = 3, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #69: input, references = 4, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #70: input, references = 4, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #71: input, references = 4, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #72: input, references = 3, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #73: input, references = 5, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #74: input, references = 4, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #75: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp13-{F}(V0) | EXISTS V1: pppp6-{T}(V1,V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #76: input, references = 3, size of lhs = 2:
% 16.51/16.69 pppp6-{F}(V0,V1), empty-{F}(V0) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #77: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #78: input, references = 4, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V3,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #79: input, references = 4, size of lhs = 1:
% 16.51/16.69 pppp7-{F}(V0,V1) | empty-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #80: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #81: input, references = 3, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #82: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp8-{F}(V0) | v5_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #83: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp8-{F}(V0) | v4_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #84: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp8-{F}(V0) | v3_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #85: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp8-{F}(V0) | v2_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #86: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp8-{F}(V0) | v1_membered-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #87: input, references = 6, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #88: input, references = 5, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #89: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #90: input, references = 4, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #91: input, references = 6, size of lhs = 6:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), P_subset_complement-{F}(V1,V4,V5), element-{F}(V2,V3), V5 == V2 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #92: input, references = 3, size of lhs = 1:
% 16.51/16.69 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #93: input, references = 3, size of lhs = 1:
% 16.51/16.69 pppp9-{F}(V0) | one_sorted_str-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #94: input, references = 4, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp10-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #95: input, references = 4, size of lhs = 1:
% 16.51/16.69 pppp10-{F}(V0,V1) | element-{T}(V1,V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #96: input, references = 5, size of lhs = 7:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_difference-{F}(V1,V4,V2,V5), P_set_difference-{F}(V4,V2,V6), element-{F}(V4,V3), V5 == V6 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #97: input, references = 3, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_cast_as_carrier_subset-{F}(V1,V2), P_the_carrier-{F}(V1,V3), P_powerset-{F}(V3,V4), one_sorted_str-{F}(V1) | element-{T}(V2,V4)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #98: input, references = 3, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), element-{F}(V2,V3) | element-{T}(V4,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #99: input, references = 3, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_difference-{F}(V1,V4,V2,V5), element-{F}(V4,V3) | element-{T}(V5,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #100: input, references = 4, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #101: input, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #102: input, references = 4, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #103: input, references = 5, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_cast_as_carrier_subset-{F}(V1,V2), P_the_carrier-{F}(V1,V3), one_sorted_str-{F}(V1), V2 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #104: input, references = 4, size of lhs = 1:
% 16.51/16.69 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #105: input, references = 4, size of lhs = 4:
% 16.51/16.69 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3) | EXISTS V4: pppp11-{T}(V4,V1,V2,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #106: input, references = 4, size of lhs = 4:
% 16.51/16.69 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3) | one_sorted_str-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #107: input, references = 4, size of lhs = 3:
% 16.51/16.69 pppp11-{F}(V0,V1,V2,V3), P_subset_complement-{F}(V1,V0,V5), P_subset_difference-{F}(V1,V3,V0,V5) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #108: input, references = 6, size of lhs = 3:
% 16.51/16.69 pppp11-{F}(V0,V1,V2,V3), P_subset_complement-{F}(V1,V0,V4), P_subset_difference-{F}(V1,V3,V0,V5) | element-{T}(V0,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #109: input, references = 7, size of lhs = 6:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_subset_complement-{F}(V1,V2,V4), P_set_difference-{F}(V1,V2,V5), element-{F}(V2,V3), V4 == V5 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #110: input, references = 4, size of lhs = 0:
% 16.51/16.69 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #111: input, references = 5, size of lhs = 1:
% 16.51/16.69 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #112: input, references = 7, size of lhs = 2:
% 16.51/16.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #113: input, references = 7, size of lhs = 2:
% 16.51/16.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #114: input, references = 5, size of lhs = 3:
% 16.51/16.69 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_subset_difference-{T}(V0,V1,V2,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #115: input, references = 5, size of lhs = 1:
% 16.51/16.69 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #116: input, references = 5, size of lhs = 1:
% 16.51/16.69 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 number of initial rules = 117
% 16.51/16.69
% 16.51/16.69 Simplifiers:
% 16.51/16.69 #117: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #118: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #119: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #120: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #121: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_subset_difference-{F}(V0,V1,V2,V3), P_subset_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #122: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #123: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #124: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #125: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #126: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #127: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #128: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #129: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #130: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #131: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #132: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #133: unsound, references = 3, size of lhs = 3:
% 16.51/16.69 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 number of simplifiers = 17
% 16.51/16.69
% 16.51/16.69 Learnt:
% 16.51/16.69 #137: exists( #113, #109 ), references = 2, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_set_difference-{F}(V1,V3,V4) | P_subset_complement-{T}(V1,V3,V4)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #144: mergings( V3 == V4, V5 == V6; #141 ), references = 1, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V1,V3,V4), element-{F}(V4,V2) | P_set_difference-{T}(V1,V4,V3)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #146: exists( #114, #96 ), references = 1, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_set_difference-{F}(V4,V3,V5) | P_subset_difference-{T}(V1,V4,V3,V5)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #156: exists( #112, #69 ), references = 1, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #164: exists( #112, #70 ), references = 2, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #175: exists( #116, #103 ), references = 2, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2) | P_the_carrier-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #180: mergings( V0 == V3; #176 ), references = 1, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #183: mergings( V0 == V3, V1 == V3; #177 ), references = 1, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #186: mergings( V0 == V3, V1 == V3; #178 ), references = 1, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #199: disj( #87, input ), references = 1, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #256: mergings( V0 == V3, V3 == V4; #252 ), references = 1, size of lhs = 8:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V2), element-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V4), P_subset_complement-{F}(V5,V1,V6), P_set_difference-{F}(V5,V1,V7), V6 == V7 | empty-{T}(V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #266: mergings( V3 == V4, V4 == V5, V5 == V6; #260 ), references = 1, size of lhs = 7:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0, element-{F}(V2,V3), P_powerset-{F}(V4,V3), P_powerset-{F}(V5,V4), P_set_difference-{F}(V5,V1,V6) | P_subset_complement-{T}(V5,V1,V6)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #270: mergings( V3 == V4, V4 == V5, V5 == V6; #261 ), references = 1, size of lhs = 7:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V2), element-{F}(V2,V3), P_powerset-{F}(V4,V2), P_powerset-{F}(V5,V3), P_powerset-{F}(V6,V5), P_set_difference-{F}(V6,V1,V7) | P_subset_complement-{T}(V6,V1,V7)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #274: mergings( V3 == V4, V4 == V5, V5 == V6; #262 ), references = 1, size of lhs = 8:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), element-{F}(V2,V3), V3 == V1, element-{F}(V3,V4), P_powerset-{F}(V5,V4), P_powerset-{F}(V6,V5), P_set_difference-{F}(V6,V2,V7) | P_subset_complement-{T}(V6,V2,V7)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #296: mergings( V0 == V3; #292 ), references = 1, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #299: mergings( V0 == V3, V2 == V3; #293 ), references = 1, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #302: mergings( V0 == V3, V2 == V3; #294 ), references = 1, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #326: mergings( V0 == V3, V3 == V4, V4 == V5; #322 ), references = 1, size of lhs = 3:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_subset_complement-{F}(V0,V0,V2) | pppp10-{T}(V1,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #338: mergings( V3 == V5, V0 == V6; #335 ), references = 2, size of lhs = 5:
% 16.51/16.69 pppp12-{F}(V0), P_empty_set-{F}(V1), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V0,V3), V2 == V3 | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #354: mergings( V0 == V4; #352 ), references = 1, size of lhs = 2:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V0,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #361: exists( #116, #338 ), references = 2, size of lhs = 3:
% 16.51/16.69 pppp12-{F}(V0), P_empty_set-{F}(V1), P_cast_as_carrier_subset-{F}(V0,V2) | P_the_carrier-{T}(V0,V2)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #592: exists( #114, #586 ), references = 1, size of lhs = 7:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_subset_complement-{F}(V1,V3,V4), P_subset_complement-{F}(V1,V4,V5), V5 == V3, pppp11-{F}(V3,V6,V2,V7), P_subset_complement-{F}(V6,V3,V8) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #593: exists( #114, #587 ), references = 1, size of lhs = 7:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_subset_complement-{F}(V1,V3,V4), P_set_difference-{F}(V1,V3,V5), V4 == V5, pppp11-{F}(V3,V6,V2,V7), P_subset_complement-{F}(V6,V3,V8) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #594: exists( #114, #588 ), references = 2, size of lhs = 6:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp11-{F}(V4,V1,V2,V3), P_set_difference-{F}(V3,V4,V5), P_subset_complement-{F}(V1,V4,V6) | P_subset_difference-{T}(V1,V3,V4,V5)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #596: exists( #113, #590 ), references = 1, size of lhs = 4:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_set_difference-{F}(V1,V3,V4), pppp11-{F}(V3,V1,V2,V5) | P_subset_complement-{T}(V1,V3,V4)
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #603: mergings( V3 == V4, V5 == V6, V6 == V8; #599 ), references = 1, size of lhs = 5:
% 16.51/16.69 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V1,V2), pppp11-{F}(V3,V1,V2,V1), pppp11-{F}(V3,V1,V2,V4) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #606: mergings( V4 == V5; #604 ), references = 2, size of lhs = 6:
% 16.51/16.69 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V1,V3), element-{F}(V1,V3) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #625: mergings( V2 == V4; #623 ), references = 3, size of lhs = 5:
% 16.51/16.69 pppp12-{F}(V0), P_the_carrier-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V1), subset-{F}(V1,V1), P_empty_set-{F}(V2) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #632: mergings( V2 == V3, V3 == V4; #629 ), references = 1, size of lhs = 3:
% 16.51/16.69 one_sorted_str-{F}(V0), pppp12-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #641: mergings( V2 == V3, V3 == V4; #638 ), references = 1, size of lhs = 2:
% 16.51/16.69 pppp12-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #646: mergings( V0 == V2, V2 == V3, V3 == V4; #642 ), references = 1, size of lhs = 1:
% 16.51/16.69 P_empty_set-{F}(V0) | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 #648: exists( #110, #642 ), references = 1, size of lhs = 0:
% 16.51/16.69 FALSE | FALSE
% 16.51/16.69 (used 0 times, uses = {})
% 16.51/16.69
% 16.51/16.69 number of learnt formulas = 32
% 16.51/16.69
% 16.51/16.69
% 16.51/16.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.51/16.69
% 16.51/16.69 randbase = 1
%------------------------------------------------------------------------------