TSTP Solution File: SEU368+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU368+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:17:55 EDT 2022
% Result : Theorem 1.33s 1.50s
% Output : Refutation 1.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU368+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 19:12:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.33/1.50 GeoParameters:
% 1.33/1.50
% 1.33/1.50 tptp_input = 1
% 1.33/1.50 tptp_output = 0
% 1.33/1.50 nonempty = 1
% 1.33/1.50 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.33/1.50
% 1.33/1.50
% 1.33/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50
% 1.33/1.50 RuleSystem INPUT:
% 1.33/1.50
% 1.33/1.50 Initial Rules:
% 1.33/1.50 #0: input, references = 4, size of lhs = 2:
% 1.33/1.50 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #1: input, references = 3, size of lhs = 0:
% 1.33/1.50 FALSE | EXISTS V0: pppp0-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #2: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp0-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #3: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp0-{F}(V0) | one_sorted_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #4: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_the_carrier-{F}(V0,V1), one_sorted_str-{F}(V0), empty-{F}(V1) | empty_carrier-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #5: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_the_carrier-{F}(V0,V1), P_powerset-{F}(V1,V2), one_sorted_str-{F}(V0) | empty_carrier-{T}(V0), pppp18-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #6: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp18-{F}(V0) | EXISTS V1: pppp1-{T}(V1,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #7: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp1-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #8: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp1-{F}(V0,V1) | element-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #9: input, references = 3, size of lhs = 0:
% 1.33/1.50 FALSE | EXISTS V0: pppp3-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #10: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp3-{F}(V0) | pppp2-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #11: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp2-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #12: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp2-{F}(V0) | transitive_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #13: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp2-{F}(V0) | reflexive_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #14: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp2-{F}(V0) | strict_rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #15: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp2-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #16: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp2-{F}(V0) | rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #17: input, references = 3, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #18: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #19: input, references = 8, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #20: input, references = 4, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #21: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #22: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | empty-{T}(V1), pppp4-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #23: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp4-{F}(V0) | antisymmetric_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #24: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp4-{F}(V0) | transitive_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #25: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp4-{F}(V0) | reflexive_relstr-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #26: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp4-{F}(V0) | strict_rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #27: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp4-{F}(V0), empty_carrier-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #28: input, references = 3, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V3), relation_of2-{F}(V2,V1,V1), empty_carrier-{F}(V3) | empty-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #29: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V3), relation_of2-{F}(V2,V1,V1) | empty-{T}(V1), strict_rel_str-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #30: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp19-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #31: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp19-{F}(V0) | EXISTS V1: pppp5-{T}(V1,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #32: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp5-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #33: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #34: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1), empty-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #35: input, references = 4, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #36: input, references = 4, size of lhs = 1:
% 1.33/1.50 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #37: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #38: input, references = 4, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #39: input, references = 5, size of lhs = 1:
% 1.33/1.50 pppp7-{F}(V0) | empty-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #40: input, references = 3, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #41: input, references = 3, size of lhs = 2:
% 1.33/1.50 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #42: input, references = 5, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #43: input, references = 6, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #44: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #45: input, references = 5, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #46: input, references = 4, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp9-{T}(V1,V2,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #47: input, references = 4, size of lhs = 1:
% 1.33/1.50 pppp9-{F}(V0,V1,V2) | relation_of2-{T}(V2,V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #48: input, references = 5, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp10-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #49: input, references = 7, size of lhs = 1:
% 1.33/1.50 pppp10-{F}(V0,V1) | element-{T}(V1,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #50: input, references = 3, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), reflexive-{F}(V1), antisymmetric-{F}(V1), transitive-{F}(V1), P_rel_str_of-{F}(V2,V1,V3), v1_partfun1-{F}(V1,V2,V2), relation_of2-{F}(V1,V2,V2) | strict_rel_str-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #51: input, references = 3, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), reflexive-{F}(V1), antisymmetric-{F}(V1), transitive-{F}(V1), P_rel_str_of-{F}(V2,V1,V3), v1_partfun1-{F}(V1,V2,V2), relation_of2-{F}(V1,V2,V2) | reflexive_relstr-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #52: input, references = 3, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), reflexive-{F}(V1), antisymmetric-{F}(V1), transitive-{F}(V1), P_rel_str_of-{F}(V2,V1,V3), v1_partfun1-{F}(V1,V2,V2), relation_of2-{F}(V1,V2,V2) | transitive_relstr-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #53: input, references = 3, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), reflexive-{F}(V1), antisymmetric-{F}(V1), transitive-{F}(V1), P_rel_str_of-{F}(V2,V1,V3), v1_partfun1-{F}(V1,V2,V2), relation_of2-{F}(V1,V2,V2) | antisymmetric_relstr-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #54: input, references = 3, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V3,V2,V4), P_powerset-{F}(V4,V5), element-{F}(V1,V5) | relation-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #55: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #56: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #57: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #58: input, references = 5, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V6), relation_of2-{F}(V2,V1,V1), P_rel_str_of-{F}(V4,V5,V6), V1 == V4 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #59: input, references = 5, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V6), relation_of2-{F}(V2,V1,V1), P_rel_str_of-{F}(V4,V5,V6), V2 == V5 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #60: input, references = 4, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), P_the_carrier-{F}(V1,V2), P_the_InternalRel-{F}(V1,V3), P_rel_str_of-{F}(V2,V3,V4), rel_str-{F}(V1), strict_rel_str-{F}(V1), V1 == V4 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #61: input, references = 3, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #62: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp11-{F}(V0) | rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #63: input, references = 3, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #64: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp12-{F}(V0) | one_sorted_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #65: input, references = 4, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | EXISTS V3: pppp13-{T}(V1,V2,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #66: input, references = 4, size of lhs = 1:
% 1.33/1.50 pppp13-{F}(V0,V1,V2) | relation_of2_as_subset-{T}(V2,V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #67: input, references = 6, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), relation_of2_as_subset-{F}(V3,V1,V2) | relation_of2-{T}(V3,V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #68: input, references = 4, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), relation_of2-{F}(V3,V1,V2) | relation_of2_as_subset-{T}(V3,V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #69: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V3), relation_of2-{F}(V2,V1,V1) | strict_rel_str-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #70: input, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_rel_str_of-{F}(V1,V2,V3), relation_of2-{F}(V2,V1,V1) | rel_str-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #71: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_inclusion_relation-{F}(V1,V2) | relation-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #72: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), rel_str-{F}(V1) | one_sorted_str-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #73: input, references = 8, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_cartesian_product2-{F}(V1,V2,V4), P_powerset-{F}(V4,V5), relation_of2_as_subset-{F}(V3,V1,V2) | element-{T}(V3,V5)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #74: input, references = 3, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #75: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp14-{F}(V0) | strict_rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #76: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp14-{F}(V0) | rel_str-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #77: input, references = 3, size of lhs = 7:
% 1.33/1.50 P_empty_set-{F}(V0), P_the_InternalRel-{F}(V1,V2), P_the_carrier-{F}(V1,V3), reflexive_relstr-{F}(V1), transitive_relstr-{F}(V1), antisymmetric_relstr-{F}(V1), rel_str-{F}(V1) | pppp15-{T}(V2,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #78: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp15-{F}(V0,V1) | v1_partfun1-{T}(V0,V1,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #79: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp15-{F}(V0,V1) | transitive-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #80: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp15-{F}(V0,V1) | antisymmetric-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #81: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp15-{F}(V0,V1) | reflexive-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #82: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp15-{F}(V0,V1) | relation-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #83: input, references = 6, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_inclusion_order-{F}(V1,V2), P_inclusion_relation-{F}(V1,V3), V2 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #84: input, references = 4, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_inclusion_order-{F}(V1,V2) | pppp16-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #85: input, references = 4, size of lhs = 1:
% 1.33/1.50 pppp16-{F}(V0,V1) | relation_of2_as_subset-{T}(V1,V0,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #86: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp16-{F}(V0,V1) | v1_partfun1-{T}(V1,V0,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #87: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp16-{F}(V0,V1) | transitive-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #88: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp16-{F}(V0,V1) | antisymmetric-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #89: input, references = 3, size of lhs = 1:
% 1.33/1.50 pppp16-{F}(V0,V1) | reflexive-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #90: input, references = 4, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | strict_rel_str-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #91: input, references = 4, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | rel_str-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #92: input, references = 5, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), P_the_InternalRel-{F}(V1,V2), P_the_carrier-{F}(V1,V3), rel_str-{F}(V1) | relation_of2_as_subset-{T}(V2,V3,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #93: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | strict_rel_str-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #94: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | reflexive_relstr-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #95: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | transitive_relstr-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #96: input, references = 3, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2) | antisymmetric_relstr-{T}(V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #97: input, references = 5, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), P_inclusion_order-{F}(V1,V3), P_rel_str_of-{F}(V1,V3,V4), V2 == V4 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #98: input, references = 4, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | EXISTS V1: pppp17-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #99: input, references = 4, size of lhs = 5:
% 1.33/1.50 pppp17-{F}(V0), P_incl_POSet-{F}(V0,V1), P_the_carrier-{F}(V1,V0), P_the_InternalRel-{F}(V1,V4), P_inclusion_order-{F}(V0,V4) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #100: input, references = 5, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_the_carrier-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #101: input, references = 4, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #102: input, references = 4, size of lhs = 0:
% 1.33/1.50 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #103: input, references = 4, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_incl_POSet-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #104: input, references = 6, size of lhs = 2:
% 1.33/1.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_rel_str_of-{T}(V0,V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #105: input, references = 3, size of lhs = 2:
% 1.33/1.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #106: input, references = 6, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_the_InternalRel-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #107: input, references = 5, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_inclusion_relation-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #108: input, references = 6, size of lhs = 1:
% 1.33/1.50 #-{F} V0 | EXISTS V1: P_inclusion_order-{T}(V0,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 number of initial rules = 109
% 1.33/1.50
% 1.33/1.50 Simplifiers:
% 1.33/1.50 #109: unsound, references = 3, size of lhs = 2:
% 1.33/1.50 v1_partfun1-{F}(V0,V1,V2), V2 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #110: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_the_carrier-{F}(V0,V1), P_the_carrier-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #111: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #112: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #113: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_incl_POSet-{F}(V0,V1), P_incl_POSet-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #114: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_rel_str_of-{F}(V0,V1,V2), P_rel_str_of-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #115: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #116: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_the_InternalRel-{F}(V0,V1), P_the_InternalRel-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #117: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_inclusion_relation-{F}(V0,V1), P_inclusion_relation-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #118: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 P_inclusion_order-{F}(V0,V1), P_inclusion_order-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #119: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp0-{F}(V0), pppp0-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #120: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp1-{F}(V0,V1), pppp1-{F}(V2,V1), V0 == V2 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #121: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #122: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #123: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #124: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #125: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #126: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #127: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #128: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #129: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #130: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #131: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #132: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #133: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp16-{F}(V0,V1), pppp16-{F}(V0,V3), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #134: unsound, references = 3, size of lhs = 3:
% 1.33/1.50 pppp17-{F}(V0), pppp17-{F}(V1), V0 == V1 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 number of simplifiers = 26
% 1.33/1.50
% 1.33/1.50 Learnt:
% 1.33/1.50 #136: exists( #108, #83 ), references = 1, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_inclusion_relation-{F}(V1,V2) | P_inclusion_order-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #146: mergings( V0 == V2; #143 ), references = 1, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #148: mergings( V0 == V2; #144 ), references = 1, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #161: mergings( V0 == V3; #159 ), references = 3, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #186: mergings( V0 == V3; #182 ), references = 1, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #188: mergings( V0 == V3; #183 ), references = 4, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #191: mergings( V0 == V3, V2 == V3; #184 ), references = 1, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #193: exists( #104, #97 ), references = 2, size of lhs = 3:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), P_inclusion_order-{F}(V1,V3) | P_rel_str_of-{T}(V1,V3,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #197: exists( #104, #60 ), references = 3, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), rel_str-{F}(V1), strict_rel_str-{F}(V1), P_the_carrier-{F}(V1,V2), P_the_InternalRel-{F}(V1,V3) | P_rel_str_of-{T}(V2,V3,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #204: mergings( V2 == V3; #202 ), references = 1, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), P_incl_POSet-{F}(V1,V2), relation_of2-{F}(V3,V4,V4), V4 == V1, P_rel_str_of-{F}(V4,V3,V2) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #207: mergings( V2 == V3, V6 == V0; #201 ), references = 1, size of lhs = 4:
% 1.33/1.50 P_empty_set-{F}(V0), relation_of2-{F}(V1,V2,V2), P_incl_POSet-{F}(V2,V3), P_rel_str_of-{F}(V2,V1,V3) | P_inclusion_order-{T}(V2,V1)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #216: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7; #211 ), references = 2, size of lhs = 6:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), P_incl_POSet-{F}(V3,V0), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #221: exists( #107, #83 ), references = 1, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_inclusion_order-{F}(V1,V2) | P_inclusion_relation-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #229: exists( #100, #216 ), references = 2, size of lhs = 4:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), P_incl_POSet-{F}(V2,V0) | P_the_carrier-{T}(V0,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #268: mergings( V2 == V4; #266 ), references = 2, size of lhs = 6:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), relation_of2-{F}(V3,V4,V4), P_rel_str_of-{F}(V4,V3,V0) | P_the_InternalRel-{T}(V0,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #276: mergings( V0 == V4; #274 ), references = 1, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp6-{T}(V0,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #294: mergings( V2 == V4, V4 == V5, V5 == V6; #290 ), references = 1, size of lhs = 6:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_the_carrier-{F}(V0,V1), P_empty_set-{F}(V2), P_rel_str_of-{F}(V3,V4,V0), V1 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #299: mergings( V2 == V3, V3 == V4, V4 == V5; #295 ), references = 1, size of lhs = 4:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), P_rel_str_of-{F}(V2,V3,V0) | P_the_carrier-{T}(V0,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #355: mergings( V0 == V3, V3 == V6; #350 ), references = 4, size of lhs = 5:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #359: mergings( V0 == V3, V3 == V6, V1 == V6; #352 ), references = 1, size of lhs = 6:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V2,V1), empty-{F}(V3), V2 == V3 | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #369: mergings( V0 == V3, V3 == V4, V4 == V6; #363 ), references = 1, size of lhs = 3:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp10-{T}(V1,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #373: mergings( V0 == V3, V3 == V4, V4 == V6; #365 ), references = 1, size of lhs = 4:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3) | pppp10-{T}(V1,V3)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #409: mergings( V2 == V3, V3 == V4; #404 ), references = 1, size of lhs = 5:
% 1.33/1.50 P_empty_set-{F}(V0), in-{F}(V1,V2), V1 == V0, relation_of2_as_subset-{F}(V2,V3,V4), P_cartesian_product2-{F}(V3,V4,V1) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #414: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #405 ), references = 1, size of lhs = 10:
% 1.33/1.50 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), element-{F}(V4,V3), V4 == V0, in-{F}(V5,V6), in-{F}(V6,V7), relation_of2_as_subset-{F}(V7,V8,V9), P_cartesian_product2-{F}(V8,V9,V4) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #419: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9; #406 ), references = 1, size of lhs = 10:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), P_empty_set-{F}(V3), element-{F}(V4,V2), V4 == V3, in-{F}(V5,V6), V5 == V3, relation_of2_as_subset-{F}(V6,V7,V8), P_cartesian_product2-{F}(V7,V8,V4) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #450: mergings( V0 == V4, V4 == V5, V5 == V8; #446 ), references = 1, size of lhs = 5:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_cartesian_product2-{F}(V4,V5,V3) | pppp9-{T}(V4,V5,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #474: mergings( V0 == V4, V4 == V7; #471 ), references = 1, size of lhs = 5:
% 1.33/1.50 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), P_cartesian_product2-{F}(V4,V5,V3) | pppp13-{T}(V4,V5,V2)
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #496: mergings( V7 == V0, V2 == V3, V3 == V4, V4 == V5, V5 == V8; #490 ), references = 1, size of lhs = 6:
% 1.33/1.50 rel_str-{F}(V0), strict_rel_str-{F}(V0), P_empty_set-{F}(V1), pppp17-{F}(V2), P_incl_POSet-{F}(V2,V0), P_the_carrier-{F}(V0,V2) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #508: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #500 ), references = 1, size of lhs = 2:
% 1.33/1.50 P_empty_set-{F}(V0), pppp17-{F}(V1) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #518: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #509 ), references = 1, size of lhs = 1:
% 1.33/1.50 P_empty_set-{F}(V0) | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 #520: exists( #102, #509 ), references = 1, size of lhs = 0:
% 1.33/1.50 FALSE | FALSE
% 1.33/1.50 (used 0 times, uses = {})
% 1.33/1.50
% 1.33/1.50 number of learnt formulas = 31
% 1.33/1.50
% 1.33/1.50
% 1.33/1.50 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.33/1.50
% 1.33/1.50 randbase = 1
%------------------------------------------------------------------------------