TSTP Solution File: SEU306+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU306+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 19:27:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 GeoParameters:
% 0.19/0.47
% 0.19/0.47 tptp_input = 1
% 0.19/0.47 tptp_output = 0
% 0.19/0.47 nonempty = 1
% 0.19/0.47 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 RuleSystem INPUT:
% 0.19/0.47
% 0.19/0.47 Initial Rules:
% 0.19/0.47 #0: input, references = 3, size of lhs = 2:
% 0.19/0.47 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #1: input, references = 3, size of lhs = 1:
% 0.19/0.47 v5_membered-{F}(V0) | v4_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #2: input, references = 3, size of lhs = 1:
% 0.19/0.47 v4_membered-{F}(V0) | v3_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #3: input, references = 3, size of lhs = 1:
% 0.19/0.47 v3_membered-{F}(V0) | v2_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #4: input, references = 3, size of lhs = 1:
% 0.19/0.47 v2_membered-{F}(V0) | v1_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #5: input, references = 3, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: pppp1-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #6: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp1-{F}(V0) | pppp0-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #7: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0) | v5_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #8: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0) | v4_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #9: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0) | v3_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #10: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0) | v2_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #11: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp0-{F}(V0) | v1_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #12: input, references = 3, size of lhs = 2:
% 0.19/0.47 pppp0-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #13: input, references = 3, size of lhs = 2:
% 0.19/0.47 v1_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #14: input, references = 3, size of lhs = 2:
% 0.19/0.47 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #15: input, references = 3, size of lhs = 2:
% 0.19/0.47 v2_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #16: input, references = 3, size of lhs = 2:
% 0.19/0.47 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #17: input, references = 3, size of lhs = 2:
% 0.19/0.47 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #18: input, references = 3, size of lhs = 2:
% 0.19/0.47 v3_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #19: input, references = 3, size of lhs = 2:
% 0.19/0.47 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xcmplx_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #20: input, references = 3, size of lhs = 2:
% 0.19/0.47 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_xreal_0-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #21: input, references = 3, size of lhs = 2:
% 0.19/0.47 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_int_1-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #22: input, references = 3, size of lhs = 2:
% 0.19/0.47 v4_membered-{F}(V0), element-{F}(V1,V0) | v1_rat_1-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #23: input, references = 3, size of lhs = 2:
% 0.19/0.47 v5_membered-{F}(V0), element-{F}(V1,V0) | pppp2-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #24: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | v1_rat_1-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #25: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | v1_int_1-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #26: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | v1_xreal_0-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #27: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | natural-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #28: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp2-{F}(V0) | v1_xcmplx_0-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #29: input, references = 3, size of lhs = 1:
% 0.19/0.47 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #30: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | v5_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #31: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | v4_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #32: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | v3_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #33: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | v2_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #34: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | v1_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #35: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp3-{F}(V0) | empty-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #36: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v1_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #37: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #38: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v2_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #39: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #40: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #41: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v3_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #42: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v1_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #43: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v2_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #44: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v3_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #45: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v4_membered-{F}(V1), element-{F}(V3,V2) | v4_membered-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #46: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), v5_membered-{F}(V1), element-{F}(V3,V2) | pppp4-{T}(V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #47: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0) | v5_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #48: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0) | v4_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #49: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0) | v3_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #50: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0) | v2_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #51: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp4-{F}(V0) | v1_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #52: input, references = 3, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #53: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #54: input, references = 3, size of lhs = 5:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #55: input, references = 3, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #56: input, references = 4, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp11-{T}(V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #57: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp11-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #58: input, references = 3, size of lhs = 2:
% 0.19/0.47 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #59: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #60: input, references = 3, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #61: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #62: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #63: input, references = 3, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #64: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp7-{F}(V0) | v5_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #65: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp7-{F}(V0) | v4_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #66: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp7-{F}(V0) | v3_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #67: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp7-{F}(V0) | v2_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #68: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp7-{F}(V0) | v1_membered-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #69: input, references = 4, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #70: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #71: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #72: input, references = 3, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #73: input, references = 3, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp8-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #74: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp8-{F}(V0,V1) | element-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #75: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #76: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #77: input, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #78: input, references = 3, size of lhs = 1:
% 0.19/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #79: input, references = 3, size of lhs = 1:
% 0.19/0.47 pppp9-{F}(V0) | one_sorted_str-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #80: input, references = 3, size of lhs = 5:
% 0.19/0.47 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)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #81: input, references = 4, size of lhs = 5:
% 0.19/0.47 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
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #82: input, references = 4, size of lhs = 1:
% 0.19/0.47 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #83: input, references = 4, size of lhs = 3:
% 0.19/0.47 pppp10-{F}(V0), P_cast_as_carrier_subset-{F}(V0,V2), P_the_carrier-{F}(V0,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #84: input, references = 4, size of lhs = 3:
% 0.19/0.47 pppp10-{F}(V0), P_cast_as_carrier_subset-{F}(V0,V1), P_the_carrier-{F}(V0,V2) | one_sorted_str-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #85: input, references = 4, size of lhs = 0:
% 0.19/0.47 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #86: input, references = 3, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #87: input, references = 5, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_cast_as_carrier_subset-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #88: input, references = 5, size of lhs = 1:
% 0.19/0.47 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of initial rules = 89
% 0.19/0.47
% 0.19/0.47 Simplifiers:
% 0.19/0.47 #89: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #90: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #91: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_cast_as_carrier_subset-{F}(V0,V1), P_cast_as_carrier_subset-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #92: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #93: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #94: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #95: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #96: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #97: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #98: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #99: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #100: unsound, references = 3, size of lhs = 3:
% 0.19/0.47 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of simplifiers = 12
% 0.19/0.47
% 0.19/0.47 Learnt:
% 0.19/0.47 #105: exists( #88, #81 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2) | P_the_carrier-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #108: exists( #87, #106 ), references = 2, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), one_sorted_str-{F}(V1), pppp10-{F}(V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #114: mergings( V0 == V3; #110 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp11-{T}(V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #117: mergings( V0 == V3, V1 == V3; #111 ), references = 1, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp11-{T}(V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #120: mergings( V0 == V3, V1 == V3; #112 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), P_powerset-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp11-{T}(V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #127: mergings( V0 == V3; #123 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #130: mergings( V0 == V3, V2 == V3; #124 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #133: mergings( V0 == V3, V2 == V3; #125 ), references = 1, size of lhs = 4:
% 0.19/0.47 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #145: exists( #88, #141 ), references = 1, size of lhs = 3:
% 0.19/0.47 P_empty_set-{F}(V0), pppp10-{F}(V1), P_cast_as_carrier_subset-{F}(V1,V2) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #147: exists( #87, #143 ), references = 1, size of lhs = 2:
% 0.19/0.47 P_empty_set-{F}(V0), pppp10-{F}(V1) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #150: mergings( V0 == V2; #148 ), references = 1, size of lhs = 1:
% 0.19/0.47 P_empty_set-{F}(V0) | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 #152: exists( #85, #148 ), references = 1, size of lhs = 0:
% 0.19/0.47 FALSE | FALSE
% 0.19/0.47 (used 0 times, uses = {})
% 0.19/0.47
% 0.19/0.47 number of learnt formulas = 12
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47
% 0.19/0.47 randbase = 1
%------------------------------------------------------------------------------