TSTP Solution File: SEU325+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n013.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 06:17:49 EDT 2022
% Result : Theorem 6.46s 6.64s
% Output : Refutation 6.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU325+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 18:47:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.46/6.64 GeoParameters:
% 6.46/6.64
% 6.46/6.64 tptp_input = 1
% 6.46/6.64 tptp_output = 0
% 6.46/6.64 nonempty = 1
% 6.46/6.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.46/6.64
% 6.46/6.64
% 6.46/6.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.64
% 6.46/6.64 RuleSystem INPUT:
% 6.46/6.64
% 6.46/6.64 Initial Rules:
% 6.46/6.64 #0: input, references = 4, size of lhs = 2:
% 6.46/6.64 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1: input, references = 3, size of lhs = 2:
% 6.46/6.64 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #2: input, references = 3, size of lhs = 2:
% 6.46/6.64 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #3: input, references = 3, size of lhs = 2:
% 6.46/6.64 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #4: input, references = 3, size of lhs = 2:
% 6.46/6.64 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #5: input, references = 3, size of lhs = 2:
% 6.46/6.64 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #6: input, references = 3, size of lhs = 2:
% 6.46/6.64 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #7: input, references = 3, size of lhs = 2:
% 6.46/6.64 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #8: input, references = 3, size of lhs = 2:
% 6.46/6.64 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #9: input, references = 3, size of lhs = 2:
% 6.46/6.64 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #10: input, references = 3, size of lhs = 2:
% 6.46/6.64 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #11: input, references = 3, size of lhs = 2:
% 6.46/6.64 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp2-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #12: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp2-{F}(V0) | v1_rat_1-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #13: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp2-{F}(V0) | v1_int_1-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #14: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp2-{F}(V0) | v1_xreal_0-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #15: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp2-{F}(V0) | natural-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #16: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp2-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #17: input, references = 3, size of lhs = 1:
% 6.46/6.64 empty-{F}(V0) | pppp3-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #18: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp3-{F}(V0) | v5_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #19: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp3-{F}(V0) | v4_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #20: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp3-{F}(V0) | v3_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #21: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp3-{F}(V0) | v2_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #22: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp3-{F}(V0) | v1_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #23: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #24: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #25: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #26: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #27: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #28: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #29: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #30: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #31: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #32: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #33: input, references = 3, size of lhs = 1:
% 6.46/6.64 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #34: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp4-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #35: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #36: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #37: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #38: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #39: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #40: input, references = 3, size of lhs = 1:
% 6.46/6.64 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #41: input, references = 3, size of lhs = 1:
% 6.46/6.64 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #42: input, references = 3, size of lhs = 1:
% 6.46/6.64 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #43: input, references = 5, size of lhs = 4:
% 6.46/6.64 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), one_sorted_str-{F}(V0), V1 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #44: input, references = 4, size of lhs = 1:
% 6.46/6.64 P_union-{F}(V0,V2) | pppp1-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #45: input, references = 4, size of lhs = 3:
% 6.46/6.64 P_union-{F}(V0,V2), pppp1-{F}(V0,V1), V1 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #46: input, references = 3, size of lhs = 2:
% 6.46/6.64 pppp1-{F}(V0,V1), in-{F}(V2,V1) | pppp0-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #47: input, references = 7, size of lhs = 2:
% 6.46/6.64 pppp1-{F}(V0,V1), pppp0-{F}(V0,V2) | in-{T}(V2,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #48: input, references = 4, size of lhs = 2:
% 6.46/6.64 #-{F} V0, #-{F} V1 | pppp1-{T}(V0,V1), pppp18-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #49: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp18-{F}(V0,V1) | EXISTS V2: pppp5-{T}(V0,V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #50: input, references = 4, size of lhs = 3:
% 6.46/6.64 pppp5-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #51: input, references = 7, size of lhs = 1:
% 6.46/6.64 pppp5-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #52: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp0-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #53: input, references = 6, size of lhs = 2:
% 6.46/6.64 in-{F}(V1,V2), in-{F}(V2,V0) | pppp0-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #54: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #55: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp6-{F}(V0,V1,V2) | in-{T}(V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #56: input, references = 4, size of lhs = 9:
% 6.46/6.64 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V0,V4), one_sorted_str-{F}(V0), P_union_of_subsets-{F}(V1,V5,V6), element-{F}(V5,V3), is_a_cover_of_carrier-{F}(V0,V5), V4 == V6 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #57: input, references = 3, size of lhs = 7:
% 6.46/6.64 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V0,V6), one_sorted_str-{F}(V0), P_union_of_subsets-{F}(V1,V5,V6), element-{F}(V5,V3) | is_a_cover_of_carrier-{T}(V0,V5)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #58: input, references = 3, size of lhs = 4:
% 6.46/6.64 P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V0) | element-{T}(V1,V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #59: input, references = 4, size of lhs = 4:
% 6.46/6.64 P_powerset-{F}(V0,V2), P_powerset-{F}(V2,V3), P_union_of_subsets-{F}(V0,V1,V4), element-{F}(V1,V3) | element-{T}(V4,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #60: input, references = 3, size of lhs = 0:
% 6.46/6.64 FALSE | EXISTS V0: pppp7-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #61: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp7-{F}(V0) | one_sorted_str-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #62: input, references = 6, size of lhs = 1:
% 6.46/6.64 #-{F} V0 | EXISTS V1: pppp8-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #63: input, references = 6, size of lhs = 1:
% 6.46/6.64 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #64: input, references = 4, size of lhs = 3:
% 6.46/6.64 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #65: input, references = 3, size of lhs = 2:
% 6.46/6.64 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #66: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_cast_as_carrier_subset-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #67: input, references = 4, size of lhs = 1:
% 6.46/6.64 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #68: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #69: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #70: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #71: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #72: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #73: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp9-{F}(V0) | empty-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #74: input, references = 3, size of lhs = 1:
% 6.46/6.64 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #75: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp11-{F}(V0) | pppp10-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #76: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp10-{F}(V0) | v5_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #77: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp10-{F}(V0) | v4_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #78: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp10-{F}(V0) | v3_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #79: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp10-{F}(V0) | v2_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #80: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp10-{F}(V0) | v1_membered-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #81: input, references = 3, size of lhs = 2:
% 6.46/6.64 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #82: input, references = 4, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp19-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #83: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp19-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #84: input, references = 3, size of lhs = 2:
% 6.46/6.64 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #85: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp12-{F}(V0,V1) | element-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #86: input, references = 4, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp13-{T}(V3,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #87: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp13-{F}(V0,V1) | empty-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #88: input, references = 7, size of lhs = 1:
% 6.46/6.64 pppp13-{F}(V0,V1) | element-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #89: input, references = 3, size of lhs = 1:
% 6.46/6.64 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #90: input, references = 3, size of lhs = 2:
% 6.46/6.64 pppp14-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #91: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp14-{F}(V0) | one_sorted_str-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #92: input, references = 4, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), one_sorted_str-{F}(V1) | empty_carrier-{T}(V1), pppp20-{T}(V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #93: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp20-{F}(V0) | EXISTS V1: pppp15-{T}(V1,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #94: input, references = 3, size of lhs = 2:
% 6.46/6.64 pppp15-{F}(V0,V1), empty-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #95: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp15-{F}(V0,V1) | element-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #96: input, references = 5, size of lhs = 7:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V3), P_powerset-{F}(V3,V4), P_union_of_subsets-{F}(V1,V2,V5), P_union-{F}(V2,V6), element-{F}(V2,V4), V5 == V6 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #97: input, references = 3, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #98: input, references = 3, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #99: input, references = 5, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #100: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #101: input, references = 3, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #102: input, references = 3, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #103: input, references = 4, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #104: input, references = 4, size of lhs = 1:
% 6.46/6.64 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #105: input, references = 4, size of lhs = 4:
% 6.46/6.64 pppp17-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | EXISTS V5: pppp16-{T}(V0,V5,V1,V4)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #106: input, references = 7, size of lhs = 4:
% 6.46/6.64 pppp17-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | one_sorted_str-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #107: input, references = 4, size of lhs = 5:
% 6.46/6.64 pppp17-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), empty_carrier-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #108: input, references = 4, size of lhs = 2:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3), V1 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #109: input, references = 4, size of lhs = 1:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3) | is_a_cover_of_carrier-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #110: input, references = 3, size of lhs = 1:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3) | element-{T}(V1,V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #111: input, references = 5, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #112: input, references = 5, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #113: input, references = 3, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #114: input, references = 13, size of lhs = 1:
% 6.46/6.64 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #115: input, references = 4, size of lhs = 1:
% 6.46/6.64 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #116: input, references = 6, size of lhs = 1:
% 6.46/6.64 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #117: input, references = 5, size of lhs = 1:
% 6.46/6.64 #-{F} V0 | EXISTS V1: P_union-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #118: input, references = 6, size of lhs = 2:
% 6.46/6.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_union_of_subsets-{T}(V0,V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #119: input, references = 4, size of lhs = 0:
% 6.46/6.64 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 number of initial rules = 120
% 6.46/6.64
% 6.46/6.64 Simplifiers:
% 6.46/6.64 #120: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #121: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #122: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #123: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_union-{F}(V0,V1), P_union-{F}(V0,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #124: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_union_of_subsets-{F}(V0,V1,V2), P_union_of_subsets-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #125: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #126: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp5-{F}(V0,V1,V2), pppp5-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #127: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #128: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #129: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #130: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #131: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #132: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #133: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #134: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp13-{F}(V0,V1), pppp13-{F}(V2,V1), V0 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #135: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #136: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp15-{F}(V0,V1), pppp15-{F}(V2,V1), V0 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #137: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #138: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V2,V7), V0 == V4 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #139: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp16-{F}(V0,V1,V2,V3), pppp16-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #140: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #141: unsound, references = 3, size of lhs = 3:
% 6.46/6.64 pppp17-{F}(V0,V1), pppp17-{F}(V2,V3), V1 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 number of simplifiers = 22
% 6.46/6.64
% 6.46/6.64 Learnt:
% 6.46/6.64 #143: exists( #116, #43 ), references = 1, size of lhs = 2:
% 6.46/6.64 one_sorted_str-{F}(V0), P_cast_as_carrier_subset-{F}(V0,V1) | P_the_carrier-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #145: disj( #48, input ), references = 1, size of lhs = 3:
% 6.46/6.64 P_union-{F}(V0,V1), #-{F} V2, V2 == V1 | pppp18-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #149: disj( #99, input ), references = 1, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #151: mergings( V0 == V3; #148 ), references = 2, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #166: exists( #118, #96 ), references = 2, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), P_union-{F}(V4,V5) | P_union_of_subsets-{T}(V1,V4,V5)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #195: mergings( V2 == V5, V5 == V7, V4 == V6; #191 ), references = 2, size of lhs = 4:
% 6.46/6.64 empty-{F}(V0), P_the_carrier-{F}(V1,V0), pppp17-{F}(V1,V2), P_powerset-{F}(V0,V3) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #219: mergings( V0 == V3; #216 ), references = 2, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #222: mergings( V0 == V3, V2 == V3; #217 ), references = 1, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #242: mergings( V2 == V5; #239 ), references = 3, size of lhs = 5:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #267: mergings( V2 == V3; #264 ), references = 2, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), in-{F}(V3,V2), V3 == V0 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #279: mergings( V4 == V6, V7 == V8, V2 == V9; #275 ), references = 3, size of lhs = 6:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_powerset-{F}(V1,V3), element-{F}(V4,V3), P_empty_set-{F}(V5) | P_union-{T}(V4,V5)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #302: mergings( V0 == V4; #300 ), references = 5, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp13-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #309: exists( #62, #307 ), references = 1, size of lhs = 3:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp8-{T}(V1,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #315: mergings( V2 == V3; #313 ), references = 2, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), P_powerset-{F}(V2,V3), P_union_of_subsets-{F}(V2,V0,V4), V4 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #319: mergings( V1 == V3; #317 ), references = 2, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), P_powerset-{F}(V2,V3) | P_union_of_subsets-{T}(V2,V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #344: mergings( V0 == V3; #340 ), references = 1, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp19-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #347: mergings( V0 == V3, V1 == V3; #341 ), references = 1, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp19-{T}(V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #351: mergings( V2 == V3, V0 == V4, V1 == V4; #342 ), references = 1, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), element-{F}(V2,V1), V2 == V0 | pppp19-{T}(V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #377: mergings( V2 == V5; #373 ), references = 1, size of lhs = 6:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_empty_set-{F}(V3), pppp1-{F}(V3,V4), V4 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #379: mergings( V4 == V5; #374 ), references = 1, size of lhs = 7:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_empty_set-{F}(V3), P_powerset-{F}(V4,V5), P_union_of_subsets-{F}(V4,V3,V6), V6 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #388: mergings( V0 == V5; #384 ), references = 2, size of lhs = 4:
% 6.46/6.64 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V2,V1), P_empty_set-{F}(V3) | P_union-{T}(V3,V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #416: exists( #52, #414 ), references = 1, size of lhs = 1:
% 6.46/6.64 pppp0-{F}(V0,V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #485: disj( #92, input ), references = 1, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp14-{F}(V1), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp20-{T}(V3)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #532: disj( #51, input ), references = 1, size of lhs = 2:
% 6.46/6.64 in-{F}(V0,V1), pppp5-{F}(V2,V0,V1) | pppp0-{T}(V2,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #590: disj( #51, #53+#47+#267 ), references = 1, size of lhs = 7:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp1-{F}(V3,V2), pppp5-{F}(V4,V3,V5), in-{F}(V6,V5), V6 == V0 | pppp0-{T}(V4,V5)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #591: disj( #51, #53+#50 ), references = 1, size of lhs = 4:
% 6.46/6.64 in-{F}(V0,V1), in-{F}(V0,V2), pppp5-{F}(V3,V2,V0), pppp5-{F}(V4,V3,V1) | pppp0-{T}(V4,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #791: exists( #105, #108 ), references = 1, size of lhs = 4:
% 6.46/6.64 pppp17-{F}(V0,V1), P_the_carrier-{F}(V0,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4) | pppp16-{T}(V0,V1,V1,V4)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #798: mergings( V4 == V5; #796 ), references = 2, size of lhs = 8:
% 6.46/6.64 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp17-{F}(V1,V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V1,V4), P_union_of_subsets-{F}(V2,V0,V5), V4 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #801: exists( #114, #799 ), references = 2, size of lhs = 7:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), one_sorted_str-{F}(V2), pppp17-{F}(V2,V0), P_the_carrier-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V2,V4), V4 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #900: disj( #51, input ), references = 1, size of lhs = 1:
% 6.46/6.64 pppp5-{F}(V0,V1,V1) | pppp0-{T}(V0,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #991: disj( #51, mergings( V2 == V3; #264 ) ), references = 1, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), pppp5-{F}(V3,V2,V4), V4 == V0 | pppp0-{T}(V3,V4)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1002: mergings( V3 == V5; #998 ), references = 1, size of lhs = 6:
% 6.46/6.64 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), pppp1-{F}(V3,V2), pppp18-{F}(V3,V4), pppp1-{F}(V4,V0) | pppp5-{T}(V3,V4,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1005: mergings( V3 == V5, V8 == V5; #999 ), references = 1, size of lhs = 8:
% 6.46/6.64 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V2,V3), element-{F}(V1,V3), pppp1-{F}(V4,V1), pppp18-{F}(V4,V5), pppp1-{F}(V5,V0) | pppp5-{T}(V4,V5,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1056: mergings( V6 == V7, V2 == V5; #1052 ), references = 2, size of lhs = 7:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), pppp17-{F}(V2,V0), P_the_carrier-{F}(V2,V3), P_powerset-{F}(V3,V4), P_cast_as_carrier_subset-{F}(V2,V5), V5 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1060: mergings( V5 == V6, V0 == V7, V2 == V4; #1053 ), references = 1, size of lhs = 7:
% 6.46/6.64 P_empty_set-{F}(V0), pppp17-{F}(V1,V0), P_the_carrier-{F}(V1,V2), P_powerset-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V1,V4), P_union_of_subsets-{F}(V2,V0,V5), V4 == V5 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1132: exists( #114, #1056 ), references = 1, size of lhs = 6:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), pppp17-{F}(V2,V0), P_the_carrier-{F}(V2,V3), P_cast_as_carrier_subset-{F}(V2,V4), V4 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1134: exists( #116, #1131 ), references = 1, size of lhs = 5:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), pppp17-{F}(V2,V0), P_cast_as_carrier_subset-{F}(V2,V3), V3 == V1 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1136: exists( #115, #1133 ), references = 1, size of lhs = 3:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), pppp17-{F}(V2,V0) | P_cast_as_carrier_subset-{T}(V2,V1)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1159: mergings( V4 == V6; #1157 ), references = 2, size of lhs = 5:
% 6.46/6.64 pppp17-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V0,V3), V2 == V3, P_powerset-{F}(V3,V4) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1235: exists( #114, #1159 ), references = 1, size of lhs = 4:
% 6.46/6.64 pppp17-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V0,V3), V2 == V3 | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1237: exists( #116, #1234 ), references = 1, size of lhs = 2:
% 6.46/6.64 pppp17-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V2) | P_the_carrier-{T}(V0,V2)
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1241: exists( #104, #1239 ), references = 1, size of lhs = 4:
% 6.46/6.64 P_empty_set-{F}(V0), P_union-{F}(V0,V1), empty-{F}(V1), P_powerset-{F}(V1,V2) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1244: exists( #114, #1242 ), references = 1, size of lhs = 2:
% 6.46/6.64 P_empty_set-{F}(V0), empty-{F}(V0) | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 #1248: exists( #119, #1246 ), references = 1, size of lhs = 0:
% 6.46/6.64 FALSE | FALSE
% 6.46/6.64 (used 0 times, uses = {})
% 6.46/6.64
% 6.46/6.64 number of learnt formulas = 44
% 6.46/6.64
% 6.46/6.64
% 6.46/6.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.46/6.64
% 6.46/6.64 randbase = 1
%------------------------------------------------------------------------------