TSTP Solution File: SEU321+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU321+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 06:17:48 EDT 2022
% Result : Theorem 14.06s 14.23s
% Output : Refutation 14.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU321+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % 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 19:27:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 14.06/14.23 GeoParameters:
% 14.06/14.23
% 14.06/14.23 tptp_input = 1
% 14.06/14.23 tptp_output = 0
% 14.06/14.23 nonempty = 1
% 14.06/14.23 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.06/14.23 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 14.06/14.23
% 14.06/14.23
% 14.06/14.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.06/14.23 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.06/14.23
% 14.06/14.23 RuleSystem INPUT:
% 14.06/14.23
% 14.06/14.23 Initial Rules:
% 14.06/14.23 #0: input, references = 3, size of lhs = 1:
% 14.06/14.23 #-{F} V0 | subset-{T}(V0,V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #1: input, references = 4, size of lhs = 3:
% 14.06/14.23 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), one_sorted_str-{F}(V0) | empty_carrier-{T}(V0), pppp14-{T}(V2)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #2: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp14-{F}(V0) | EXISTS V1: pppp0-{T}(V1,V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #3: input, references = 3, size of lhs = 2:
% 14.06/14.23 pppp0-{F}(V0,V1), empty-{F}(V0) | FALSE
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #4: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp0-{F}(V0,V1) | element-{T}(V0,V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #5: input, references = 3, size of lhs = 1:
% 14.06/14.23 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #6: input, references = 3, size of lhs = 1:
% 14.06/14.23 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #7: input, references = 3, size of lhs = 1:
% 14.06/14.23 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #8: input, references = 3, size of lhs = 1:
% 14.06/14.23 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #9: input, references = 3, size of lhs = 0:
% 14.06/14.23 FALSE | EXISTS V0: pppp2-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #10: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp2-{F}(V0) | pppp1-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #11: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp1-{F}(V0) | v5_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #12: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp1-{F}(V0) | v4_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #13: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp1-{F}(V0) | v3_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #14: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp1-{F}(V0) | v2_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #15: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp1-{F}(V0) | v1_membered-{T}(V0)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #16: input, references = 3, size of lhs = 2:
% 14.06/14.23 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #17: input, references = 3, size of lhs = 2:
% 14.06/14.23 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #18: input, references = 3, size of lhs = 2:
% 14.06/14.23 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #19: input, references = 3, size of lhs = 2:
% 14.06/14.23 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #20: input, references = 3, size of lhs = 2:
% 14.06/14.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #21: input, references = 3, size of lhs = 2:
% 14.06/14.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #22: input, references = 3, size of lhs = 2:
% 14.06/14.23 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #23: input, references = 3, size of lhs = 2:
% 14.06/14.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #24: input, references = 3, size of lhs = 2:
% 14.06/14.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #25: input, references = 3, size of lhs = 2:
% 14.06/14.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #26: input, references = 3, size of lhs = 2:
% 14.06/14.23 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #27: input, references = 3, size of lhs = 2:
% 14.06/14.23 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp3-{T}(V1)
% 14.06/14.23 (used 0 times, uses = {})
% 14.06/14.23
% 14.06/14.23 #28: input, references = 3, size of lhs = 1:
% 14.06/14.23 pppp3-{F}(V0) | v1_rat_1-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #29: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp3-{F}(V0) | v1_int_1-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #30: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp3-{F}(V0) | v1_xreal_0-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #31: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp3-{F}(V0) | natural-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #32: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp3-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #33: input, references = 3, size of lhs = 1:
% 14.06/14.24 empty-{F}(V0) | pppp4-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #34: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #35: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #36: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #37: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #38: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #39: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v1_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #40: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #41: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v2_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #42: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #43: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #44: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v3_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #45: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v1_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #46: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v2_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #47: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v3_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #48: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v4_membered-{F}(V0), element-{F}(V2,V1) | v4_membered-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #49: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), v5_membered-{F}(V0), element-{F}(V2,V1) | pppp5-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #50: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp5-{F}(V0) | v5_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #51: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp5-{F}(V0) | v4_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #52: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp5-{F}(V0) | v3_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #53: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp5-{F}(V0) | v2_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #54: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp5-{F}(V0) | v1_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #55: input, references = 4, size of lhs = 1:
% 14.06/14.24 element-{F}(V1,V0) | empty-{T}(V0), in-{T}(V1,V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #56: input, references = 6, size of lhs = 4:
% 14.06/14.24 P_powerset-{F}(V0,V1), empty-{F}(V0), element-{F}(V2,V1), in-{F}(V3,V2) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #57: input, references = 3, size of lhs = 3:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #58: input, references = 6, size of lhs = 5:
% 14.06/14.24 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), P_subset_complement-{F}(V0,V3,V4), element-{F}(V1,V2), V4 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #59: input, references = 4, size of lhs = 2:
% 14.06/14.24 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #60: input, references = 3, size of lhs = 0:
% 14.06/14.24 FALSE | EXISTS V0: pppp6-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #61: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp6-{F}(V0) | one_sorted_str-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #62: input, references = 4, size of lhs = 1:
% 14.06/14.24 #-{F} V0 | EXISTS V1: pppp7-{T}(V0,V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #63: input, references = 4, size of lhs = 1:
% 14.06/14.24 pppp7-{F}(V0,V1) | element-{T}(V1,V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #64: input, references = 5, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V2), P_subset_complement-{F}(V0,V1,V3), element-{F}(V1,V2) | element-{T}(V3,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #65: input, references = 3, size of lhs = 0:
% 14.06/14.24 FALSE | EXISTS V0: pppp8-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #66: input, references = 3, size of lhs = 2:
% 14.06/14.24 pppp8-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #67: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp8-{F}(V0) | one_sorted_str-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #68: input, references = 4, size of lhs = 3:
% 14.06/14.24 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #69: input, references = 4, size of lhs = 1:
% 14.06/14.24 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #70: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | v5_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #71: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | v4_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #72: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | v3_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #73: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | v2_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #74: input, references = 3, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | v1_membered-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #75: input, references = 4, size of lhs = 1:
% 14.06/14.24 pppp9-{F}(V0) | empty-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #76: input, references = 6, size of lhs = 2:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #77: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #78: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #79: input, references = 25, size of lhs = 4:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #80: input, references = 3, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #81: input, references = 5, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #82: input, references = 4, size of lhs = 1:
% 14.06/14.24 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #83: input, references = 4, size of lhs = 3:
% 14.06/14.24 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | EXISTS V3: pppp12-{T}(V3,V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #84: input, references = 4, size of lhs = 3:
% 14.06/14.24 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | one_sorted_str-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #85: input, references = 4, size of lhs = 4:
% 14.06/14.24 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), empty_carrier-{F}(V0) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #86: input, references = 6, size of lhs = 2:
% 14.06/14.24 pppp12-{F}(V0,V1,V2), P_subset_complement-{F}(V1,V0,V3) | EXISTS V4: pppp11-{T}(V0,V1,V3,V4)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #87: input, references = 12, size of lhs = 2:
% 14.06/14.24 pppp12-{F}(V0,V1,V2), P_subset_complement-{F}(V1,V0,V3) | element-{T}(V0,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #88: input, references = 10, size of lhs = 1:
% 14.06/14.24 pppp11-{F}(V0,V1,V2,V3) | pppp10-{T}(V0,V3,V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #89: input, references = 7, size of lhs = 2:
% 14.06/14.24 pppp10-{F}(V0,V1,V2,V3), in-{F}(V1,V3) | in-{T}(V1,V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #90: input, references = 7, size of lhs = 2:
% 14.06/14.24 pppp10-{F}(V0,V1,V2,V3), in-{F}(V1,V0) | in-{T}(V1,V3)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #91: input, references = 10, size of lhs = 1:
% 14.06/14.24 pppp10-{F}(V0,V1,V2,V3) | element-{T}(V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #92: input, references = 6, size of lhs = 6:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_subset_complement-{F}(V1,V3,V4), element-{F}(V3,V2), element-{F}(V5,V1), V1 == V0 | in-{T}(V5,V3), in-{T}(V5,V4)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #93: input, references = 12, size of lhs = 6:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), P_powerset-{F}(V3,V4), P_subset_complement-{F}(V3,V2,V5), element-{F}(V2,V4), in-{F}(V1,V5) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #94: input, references = 5, size of lhs = 1:
% 14.06/14.24 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #95: input, references = 4, size of lhs = 1:
% 14.06/14.24 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #96: input, references = 11, size of lhs = 2:
% 14.06/14.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_subset_complement-{T}(V0,V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #97: input, references = 4, size of lhs = 0:
% 14.06/14.24 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 number of initial rules = 98
% 14.06/14.24
% 14.06/14.24 Simplifiers:
% 14.06/14.24 #98: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #99: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #100: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 P_subset_complement-{F}(V0,V1,V2), P_subset_complement-{F}(V0,V1,V5), V2 == V5 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #101: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #102: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp0-{F}(V0,V1), pppp0-{F}(V2,V1), V0 == V2 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #103: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #104: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #105: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #106: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #107: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #108: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #109: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #110: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V5,V2,V7), V3 == V7 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #111: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #112: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #113: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V2), V0 == V3 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #114: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V2 == V5 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #115: unsound, references = 3, size of lhs = 3:
% 14.06/14.24 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 number of simplifiers = 18
% 14.06/14.24
% 14.06/14.24 Learnt:
% 14.06/14.24 #120: disj( #55, input ), references = 15, size of lhs = 3:
% 14.06/14.24 empty-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #121: disj( #55, input ), references = 1, size of lhs = 3:
% 14.06/14.24 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #125: exists( #96, #58 ), references = 2, size of lhs = 3:
% 14.06/14.24 P_powerset-{F}(V0,V1), element-{F}(V2,V1), P_subset_complement-{F}(V0,V2,V3) | P_subset_complement-{T}(V0,V3,V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #153: mergings( V1 == V3, V2 == V4; #150 ), references = 1, size of lhs = 4:
% 14.06/14.24 one_sorted_str-{F}(V0), pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2) | pppp14-{T}(V2)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #224: mergings( V3 == V5, V5 == V7; #221 ), references = 3, size of lhs = 14:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), empty-{F}(V2), P_empty_set-{F}(V3), P_powerset-{F}(V4,V5), V4 == V1, element-{F}(V4,V6), P_powerset-{F}(V7,V6), V7 == V2, element-{F}(V7,V8), P_powerset-{F}(V9,V8), P_subset_complement-{F}(V9,V7,V10), V10 == V0, element-{F}(V10,V5) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #230: mergings( V9 == V12, V4 == V6, V6 == V8; #226 ), references = 1, size of lhs = 11:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), empty-{F}(V2), P_empty_set-{F}(V3), P_powerset-{F}(V4,V5), V4 == V1, element-{F}(V4,V6), P_powerset-{F}(V7,V6), V7 == V2, element-{F}(V7,V5), P_powerset-{F}(V8,V5) | P_subset_complement-{T}(V8,V7,V0)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #257: exists( #86, #251 ), references = 1, size of lhs = 6:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_subset_complement-{F}(V3,V2,V3), V3 == V0, pppp12-{F}(V2,V3,V4) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #258: exists( #86, #252 ), references = 1, size of lhs = 8:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, P_subset_complement-{F}(V2,V4,V5), P_subset_complement-{F}(V4,V5,V4), pppp12-{F}(V5,V4,V6) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #259: exists( #86, #253 ), references = 1, size of lhs = 7:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V4,V3,V4), V4 == V0, pppp12-{F}(V3,V4,V5) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #287: exists( #86, #281 ), references = 1, size of lhs = 6:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_subset_complement-{F}(V3,V3,V2), V3 == V0, pppp12-{F}(V3,V3,V4) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #288: exists( #86, #282 ), references = 1, size of lhs = 8:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), pppp12-{F}(V2,V2,V3), V2 == V0, P_subset_complement-{F}(V2,V2,V4), element-{F}(V2,V5), P_powerset-{F}(V6,V5), P_subset_complement-{F}(V6,V2,V4) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #289: exists( #86, #283 ), references = 1, size of lhs = 7:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_subset_complement-{F}(V4,V4,V3), V4 == V0, pppp12-{F}(V4,V4,V5) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #340: mergings( V4 == V5, V5 == V6; #336 ), references = 1, size of lhs = 11:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), P_powerset-{F}(V2,V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V4,V5), V5 == V0, in-{F}(V5,V6), in-{F}(V6,V7), pppp12-{F}(V7,V8,V5), in-{F}(V7,V9), P_subset_complement-{F}(V2,V5,V9) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #342: mergings( V3 == V4; #337 ), references = 1, size of lhs = 10:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), pppp12-{F}(V3,V4,V5), P_powerset-{F}(V6,V5), P_powerset-{F}(V7,V6), P_powerset-{F}(V8,V7), P_subset_complement-{F}(V8,V1,V9), P_subset_complement-{F}(V8,V9,V10), V10 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #363: mergings( V3 == V4, V4 == V5; #360 ), references = 1, size of lhs = 10:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), in-{F}(V1,V5), P_subset_complement-{F}(V6,V2,V5), P_powerset-{F}(V6,V7), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), pppp12-{F}(V4,V10,V9) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #391: mergings( V4 == V5; #388 ), references = 1, size of lhs = 10:
% 14.06/14.24 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2), P_powerset-{F}(V3,V4), V3 == V2, P_powerset-{F}(V4,V5), V5 == V0, pppp12-{F}(V3,V6,V5), in-{F}(V5,V7), in-{F}(V7,V3) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #451: mergings( V3 == V4, V4 == V5, V5 == V6; #445 ), references = 1, size of lhs = 12:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), in-{F}(V4,V5), in-{F}(V1,V6), P_subset_complement-{F}(V7,V2,V6), P_powerset-{F}(V7,V8), P_powerset-{F}(V8,V9), P_powerset-{F}(V9,V10), P_powerset-{F}(V10,V11), pppp12-{F}(V5,V12,V11) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #455: mergings( V3 == V4, V4 == V5, V5 == V9; #446 ), references = 1, size of lhs = 19:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), empty-{F}(V2), P_empty_set-{F}(V3), in-{F}(V4,V5), V4 == V2, in-{F}(V5,V6), in-{F}(V6,V7), V7 == V1, P_powerset-{F}(V4,V8), pppp12-{F}(V7,V9,V8), P_powerset-{F}(V7,V10), P_powerset-{F}(V11,V8), P_powerset-{F}(V12,V11), P_powerset-{F}(V13,V12), P_powerset-{F}(V14,V13), P_subset_complement-{F}(V14,V4,V15), V15 == V0, element-{F}(V15,V10) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #458: mergings( V3 == V4, V4 == V5; #447 ), references = 2, size of lhs = 12:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V3), in-{F}(V3,V4), pppp12-{F}(V4,V5,V6), P_powerset-{F}(V7,V6), P_powerset-{F}(V8,V7), P_powerset-{F}(V9,V8), P_powerset-{F}(V10,V9), P_subset_complement-{F}(V10,V1,V11), P_subset_complement-{F}(V10,V11,V12), V12 == V1 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #481: mergings( V3 == V4, V4 == V6, V6 == V8; #477 ), references = 1, size of lhs = 21:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V4), V4 == V0, V3 == V1, P_powerset-{F}(V4,V5), P_powerset-{F}(V5,V6), in-{F}(V4,V7), in-{F}(V7,V8), in-{F}(V8,V9), in-{F}(V9,V10), pppp12-{F}(V10,V11,V6), pppp12-{F}(V3,V12,V13), P_powerset-{F}(V14,V13), P_powerset-{F}(V15,V14), P_powerset-{F}(V16,V15), P_powerset-{F}(V17,V16), P_subset_complement-{F}(V17,V8,V18), P_subset_complement-{F}(V17,V18,V19), V19 == V8 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #637: mergings( V0 == V6; #633 ), references = 1, size of lhs = 9:
% 14.06/14.24 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V2,V3), P_powerset-{F}(V4,V3), V4 == V0, P_subset_complement-{F}(V4,V2,V5), element-{F}(V6,V4), in-{F}(V7,V6) | in-{T}(V6,V5)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #640: mergings( V0 == V6, V6 == V7; #634 ), references = 1, size of lhs = 10:
% 14.06/14.24 P_empty_set-{F}(V0), in-{F}(V1,V2), element-{F}(V2,V3), V3 == V0, P_powerset-{F}(V3,V4), in-{F}(V1,V5), P_subset_complement-{F}(V6,V2,V5), P_powerset-{F}(V6,V7), element-{F}(V7,V4), P_subset_complement-{F}(V3,V7,V8) | in-{T}(V2,V8)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #643: mergings( V0 == V6, V6 == V10; #635 ), references = 1, size of lhs = 18:
% 14.06/14.24 empty-{F}(V0), empty-{F}(V1), empty-{F}(V2), P_empty_set-{F}(V3), element-{F}(V4,V5), V5 == V3, V4 == V2, P_powerset-{F}(V5,V6), P_powerset-{F}(V4,V7), element-{F}(V8,V7), V8 == V1, P_powerset-{F}(V8,V9), element-{F}(V10,V6), P_subset_complement-{F}(V5,V10,V11), P_powerset-{F}(V12,V10), P_subset_complement-{F}(V12,V4,V13), V13 == V0, element-{F}(V13,V9) | in-{T}(V4,V11)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #740: disj( #92, input ), references = 1, size of lhs = 6:
% 14.06/14.24 P_empty_set-{F}(V0), element-{F}(V1,V2), element-{F}(V1,V3), V3 == V0, P_powerset-{F}(V3,V2), P_subset_complement-{F}(V3,V1,V4) | in-{T}(V1,V4)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #822: mergings( V0 == V6; #820 ), references = 1, size of lhs = 10:
% 14.06/14.24 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2), V3 == V0, P_subset_complement-{F}(V3,V1,V4), element-{F}(V5,V3), element-{F}(V4,V6), P_powerset-{F}(V7,V6), P_subset_complement-{F}(V7,V4,V8), pppp10-{F}(V8,V5,V9,V4) | in-{T}(V5,V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #830: mergings( V5 == V6, V6 == V7; #827 ), references = 1, size of lhs = 12:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V3,V4), P_subset_complement-{F}(V1,V3,V5), P_powerset-{F}(V6,V4), V6 == V0, P_subset_complement-{F}(V6,V3,V5), pppp12-{F}(V3,V6,V7), element-{F}(V5,V8), P_powerset-{F}(V9,V8), P_subset_complement-{F}(V9,V5,V3) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #838: mergings( V3 == V4, V4 == V5, V6 == V7; #834 ), references = 1, size of lhs = 4:
% 14.06/14.24 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0, pppp12-{F}(V3,V1,V2) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #842: mergings( V4 == V5, V5 == V6; #839 ), references = 2, size of lhs = 5:
% 14.06/14.24 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), V1 == V2, P_powerset-{F}(V1,V3) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #848: exists( #94, #842 ), references = 1, size of lhs = 4:
% 14.06/14.24 pppp13-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), V1 == V2 | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #850: exists( #95, #847 ), references = 1, size of lhs = 2:
% 14.06/14.24 pppp13-{F}(V0), P_empty_set-{F}(V1) | P_the_carrier-{T}(V0,V1)
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #855: mergings( V3 == V0; #853 ), references = 1, size of lhs = 3:
% 14.06/14.24 pppp13-{F}(V0), empty-{F}(V1), P_the_carrier-{F}(V0,V1) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #859: mergings( V0 == V2; #857 ), references = 1, size of lhs = 2:
% 14.06/14.24 P_empty_set-{F}(V0), empty-{F}(V0) | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 #863: exists( #97, #861 ), references = 1, size of lhs = 0:
% 14.06/14.24 FALSE | FALSE
% 14.06/14.24 (used 0 times, uses = {})
% 14.06/14.24
% 14.06/14.24 number of learnt formulas = 33
% 14.06/14.24
% 14.06/14.24
% 14.06/14.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.06/14.24
% 14.06/14.24 randbase = 1
%------------------------------------------------------------------------------