%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 3.69s 3.87s
% Output : Refutation 3.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU307+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 19:05:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.69/3.87 GeoParameters:
% 3.69/3.87
% 3.69/3.87 tptp_input = 1
% 3.69/3.87 tptp_output = 0
% 3.69/3.87 nonempty = 1
% 3.69/3.87 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/3.87 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.69/3.87
% 3.69/3.87
% 3.69/3.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/3.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/3.87
% 3.69/3.87 RuleSystem INPUT:
% 3.69/3.87
% 3.69/3.87 Initial Rules:
% 3.69/3.87 #0: input, references = 4, size of lhs = 2:
% 3.69/3.87 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #1: input, references = 3, size of lhs = 1:
% 3.69/3.87 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #2: input, references = 3, size of lhs = 1:
% 3.69/3.87 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #3: input, references = 3, size of lhs = 1:
% 3.69/3.87 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #4: input, references = 3, size of lhs = 1:
% 3.69/3.87 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #5: input, references = 3, size of lhs = 0:
% 3.69/3.87 FALSE | EXISTS V0: pppp1-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #6: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp1-{F}(V0) | pppp0-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #7: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp0-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #8: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp0-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #9: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp0-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #10: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp0-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #11: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp0-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #12: input, references = 3, size of lhs = 2:
% 3.69/3.87 pppp0-{F}(V0), empty-{F}(V0) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #13: input, references = 3, size of lhs = 2:
% 3.69/3.87 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #14: input, references = 3, size of lhs = 2:
% 3.69/3.87 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #15: input, references = 3, size of lhs = 2:
% 3.69/3.87 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #16: input, references = 3, size of lhs = 2:
% 3.69/3.87 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #17: input, references = 3, size of lhs = 2:
% 3.69/3.87 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #18: input, references = 3, size of lhs = 2:
% 3.69/3.87 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #19: input, references = 3, size of lhs = 2:
% 3.69/3.87 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #20: input, references = 3, size of lhs = 2:
% 3.69/3.87 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #21: input, references = 3, size of lhs = 2:
% 3.69/3.87 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #22: input, references = 3, size of lhs = 2:
% 3.69/3.87 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #23: input, references = 3, size of lhs = 2:
% 3.69/3.87 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp2-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #24: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp2-{F}(V0) | v1_rat_1-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #25: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp2-{F}(V0) | v1_int_1-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #26: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp2-{F}(V0) | v1_xreal_0-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #27: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp2-{F}(V0) | natural-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #28: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp2-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #29: input, references = 3, size of lhs = 1:
% 3.69/3.87 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #30: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #31: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #32: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #33: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #34: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #35: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp3-{F}(V0) | empty-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #36: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v1_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #37: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #38: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #39: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #40: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #41: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #42: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #43: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #44: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #45: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v4_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #46: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v5_membered-{F}(V1), element-{F}(V3,V2) | pppp4-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #47: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #48: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #49: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #50: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #51: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #52: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v1_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #53: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v1_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #54: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #55: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #56: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #57: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v2_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #58: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #59: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #60: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #61: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #62: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #63: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v3_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #64: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #65: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #66: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #67: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | v4_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #68: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v1_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #69: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v2_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #70: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v3_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #71: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v4_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | v4_membered-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #72: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v5_membered-{F}(V1), P_set_intersection2-{F}(V1,V2,V3) | pppp5-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #73: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #74: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #75: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #76: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #77: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #78: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), v5_membered-{F}(V1), P_set_intersection2-{F}(V2,V1,V3) | pppp6-{T}(V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #79: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp6-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #80: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp6-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #81: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp6-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #82: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp6-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #83: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp6-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #84: input, references = 3, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #85: input, references = 4, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #86: input, references = 3, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #87: input, references = 4, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #88: input, references = 4, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #89: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp14-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #90: input, references = 3, size of lhs = 2:
% 3.69/3.87 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #91: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #92: input, references = 4, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #93: input, references = 5, size of lhs = 1:
% 3.69/3.87 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #94: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #95: input, references = 3, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #96: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #97: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #98: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #99: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #100: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #101: input, references = 4, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #102: input, references = 4, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #103: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #104: input, references = 4, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #105: input, references = 4, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #106: input, references = 4, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #107: input, references = 3, size of lhs = 7:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_intersection2-{F}(V1,V4,V2,V5), P_subset_intersection2-{F}(V1,V2,V4,V6), element-{F}(V4,V3), V5 == V6 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #108: input, references = 5, size of lhs = 6:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_intersection2-{F}(V1,V4,V4,V5), element-{F}(V4,V2), V5 == V4 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #109: input, references = 5, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #110: input, references = 3, size of lhs = 1:
% 3.69/3.87 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #111: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp10-{F}(V0) | one_sorted_str-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #112: input, references = 3, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp11-{T}(V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #113: input, references = 3, size of lhs = 1:
% 3.69/3.87 pppp11-{F}(V0,V1) | element-{T}(V1,V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #114: input, references = 6, size of lhs = 7:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_intersection2-{F}(V1,V4,V2,V5), P_set_intersection2-{F}(V4,V2,V6), element-{F}(V4,V3), V5 == V6 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #115: input, references = 3, size of lhs = 5:
% 3.69/3.87 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)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #116: input, references = 3, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), element-{F}(V2,V3), P_subset_intersection2-{F}(V1,V4,V2,V5), element-{F}(V4,V3) | element-{T}(V5,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #117: input, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #118: input, references = 5, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #119: input, references = 4, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #120: input, references = 5, size of lhs = 5:
% 3.69/3.87 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
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #121: input, references = 4, size of lhs = 1:
% 3.69/3.87 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #122: input, references = 5, size of lhs = 4:
% 3.69/3.87 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_cast_as_carrier_subset-{F}(V0,V3) | EXISTS V4: pppp12-{T}(V4,V1,V2,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #123: input, references = 4, size of lhs = 4:
% 3.69/3.87 pppp13-{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)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #124: input, references = 4, size of lhs = 2:
% 3.69/3.87 pppp12-{F}(V0,V1,V2,V3), P_subset_intersection2-{F}(V1,V0,V3,V0) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #125: input, references = 9, size of lhs = 2:
% 3.69/3.87 pppp12-{F}(V0,V1,V2,V3), P_subset_intersection2-{F}(V1,V0,V3,V4) | element-{T}(V0,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #126: input, references = 6, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #127: input, references = 4, size of lhs = 0:
% 3.69/3.87 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #128: input, references = 5, size of lhs = 1:
% 3.69/3.87 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #129: input, references = 8, size of lhs = 2:
% 3.69/3.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #130: input, references = 5, size of lhs = 3:
% 3.69/3.87 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_subset_intersection2-{T}(V0,V1,V2,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #131: input, references = 5, size of lhs = 1:
% 3.69/3.87 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #132: input, references = 5, size of lhs = 1:
% 3.69/3.87 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 number of initial rules = 133
% 3.69/3.87
% 3.69/3.87 Simplifiers:
% 3.69/3.87 #133: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #134: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #135: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #136: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_subset_intersection2-{F}(V0,V1,V2,V3), P_subset_intersection2-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #137: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #138: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #139: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #140: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #141: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #142: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #143: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #144: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #145: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #146: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #147: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp12-{F}(V0,V1,V2,V3), pppp12-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #148: unsound, references = 3, size of lhs = 3:
% 3.69/3.87 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 number of simplifiers = 16
% 3.69/3.87
% 3.69/3.87 Learnt:
% 3.69/3.87 #153: exists( #130, #108 ), references = 1, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2) | P_subset_intersection2-{T}(V1,V4,V4,V4)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #154: exists( #130, #114 ), references = 1, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_set_intersection2-{F}(V4,V3,V5) | P_subset_intersection2-{T}(V1,V4,V3,V5)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #158: exists( #129, #106 ), references = 1, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #159: exists( #129, #126 ), references = 1, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_intersection2-{T}(V1,V2,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #160: exists( #129, #114 ), references = 1, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V2), P_subset_intersection2-{F}(V1,V4,V3,V5) | P_set_intersection2-{T}(V4,V3,V5)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #163: exists( #132, #120 ), references = 2, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2) | P_the_carrier-{T}(V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #165: exists( #129, #85 ), references = 2, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #173: exists( #129, #105 ), references = 4, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #189: disj( #88, input ), references = 1, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), pppp0-{F}(V1), P_powerset-{F}(V1,V2) | pppp14-{T}(V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #191: mergings( V0 == V3; #187 ), references = 1, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #194: mergings( V0 == V3, V1 == V3; #188 ), references = 1, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #203: mergings( V0 == V4; #200 ), references = 1, size of lhs = 2:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #205: mergings( V0 == V4; #201 ), references = 1, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #222: mergings( V3 == V5, V0 == V6; #219 ), references = 2, size of lhs = 5:
% 3.69/3.87 pppp13-{F}(V0), P_empty_set-{F}(V1), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V0,V3), V2 == V3 | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #227: mergings( V0 == V3; #223 ), references = 2, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #230: mergings( V0 == V3, V2 == V3; #224 ), references = 1, size of lhs = 3:
% 3.69/3.87 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #233: mergings( V0 == V3, V2 == V3; #225 ), references = 1, size of lhs = 4:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #239: exists( #132, #222 ), references = 2, size of lhs = 3:
% 3.69/3.87 pppp13-{F}(V0), P_empty_set-{F}(V1), P_cast_as_carrier_subset-{F}(V0,V2) | P_the_carrier-{T}(V0,V2)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #282: exists( #130, #276 ), references = 1, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp12-{F}(V4,V5,V2,V6) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #283: exists( #130, #278 ), references = 1, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_subset_intersection2-{F}(V1,V3,V3,V4), V4 == V3, pppp12-{F}(V3,V5,V2,V6) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #284: exists( #130, #277 ), references = 5, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp12-{F}(V4,V1,V2,V3), P_set_intersection2-{F}(V4,V3,V5) | P_subset_intersection2-{T}(V1,V4,V3,V5)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #297: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V1; #292 ), references = 1, size of lhs = 6:
% 3.69/3.87 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V1), P_empty_set-{F}(V1), element-{F}(V1,V2), P_powerset-{F}(V1,V2) | pppp12-{T}(V1,V1,V2,V1)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #365: mergings( V3 == V4, V4 == V5, V7 == V8; #359 ), references = 1, size of lhs = 6:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V2 == V0, in-{F}(V2,V3), pppp12-{F}(V3,V1,V2,V4), element-{F}(V4,V2) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #421: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #416 ), references = 1, size of lhs = 5:
% 3.69/3.87 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_powerset-{F}(V3,V2), pppp12-{F}(V4,V1,V2,V3) | P_set_intersection2-{T}(V3,V4,V4)
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #432: mergings( V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V3 == V1; #425 ), references = 2, size of lhs = 6:
% 3.69/3.87 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V1,V3), P_powerset-{F}(V1,V3) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #444: mergings( V2 == V4; #442 ), references = 2, size of lhs = 5:
% 3.69/3.87 pppp13-{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
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #451: mergings( V2 == V3, V3 == V4, V4 == V5; #447 ), references = 1, size of lhs = 3:
% 3.69/3.87 one_sorted_str-{F}(V0), pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #486: mergings( V2 == V3, V3 == V4; #483 ), references = 1, size of lhs = 2:
% 3.69/3.87 pppp13-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #491: mergings( V0 == V2, V2 == V3, V3 == V4; #487 ), references = 1, size of lhs = 1:
% 3.69/3.87 P_empty_set-{F}(V0) | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 #493: exists( #127, #487 ), references = 1, size of lhs = 0:
% 3.69/3.87 FALSE | FALSE
% 3.69/3.87 (used 0 times, uses = {})
% 3.69/3.87
% 3.69/3.87 number of learnt formulas = 30
% 3.69/3.87
% 3.69/3.87
% 3.69/3.87 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/3.87
% 3.69/3.87 randbase = 1
%------------------------------------------------------------------------------