%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU241+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:17:36 EDT 2022
% Result : Theorem 3.20s 3.44s
% Output : Refutation 3.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU241+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 : n021.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 19:10:18 EDT 2022
% 0.12/0.34 % CPUTime :
% 3.20/3.44 GeoParameters:
% 3.20/3.44
% 3.20/3.44 tptp_input = 1
% 3.20/3.44 tptp_output = 0
% 3.20/3.44 nonempty = 1
% 3.20/3.44 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.44 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.20/3.44
% 3.20/3.44
% 3.20/3.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.44 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.20/3.44
% 3.20/3.44 RuleSystem INPUT:
% 3.20/3.44
% 3.20/3.44 Initial Rules:
% 3.20/3.44 #0: input, references = 9, size of lhs = 2:
% 3.20/3.44 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #1: input, references = 3, size of lhs = 1:
% 3.20/3.44 empty-{F}(V0) | function-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #2: input, references = 3, size of lhs = 3:
% 3.20/3.44 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #3: input, references = 4, size of lhs = 3:
% 3.20/3.44 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #4: input, references = 5, size of lhs = 3:
% 3.20/3.44 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #5: input, references = 4, size of lhs = 3:
% 3.20/3.44 P_relation_field-{F}(V0,V1), relation-{F}(V0), antisymmetric-{F}(V0) | is_antisymmetric_in-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #6: input, references = 4, size of lhs = 3:
% 3.20/3.44 P_relation_field-{F}(V0,V1), relation-{F}(V0), is_antisymmetric_in-{F}(V0,V1) | antisymmetric-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #7: input, references = 4, size of lhs = 2:
% 3.20/3.44 relation-{F}(V0), is_antisymmetric_in-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #8: input, references = 4, size of lhs = 2:
% 3.20/3.44 relation-{F}(V0), pppp0-{F}(V0,V1) | is_antisymmetric_in-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #9: input, references = 8, size of lhs = 8:
% 3.20/3.44 pppp0-{F}(V0,V1), in-{F}(V2,V1), P_ordered_pair-{F}(V3,V2,V4), P_ordered_pair-{F}(V2,V3,V5), in-{F}(V3,V1), in-{F}(V4,V0), in-{F}(V5,V0), V3 == V2 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #10: input, references = 7, size of lhs = 2:
% 3.20/3.44 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp14-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #11: input, references = 6, size of lhs = 1:
% 3.20/3.44 pppp14-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #12: input, references = 5, size of lhs = 1:
% 3.20/3.44 pppp3-{F}(V0,V1,V2) | EXISTS V3: pppp2-{T}(V0,V1,V3,V2)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #13: input, references = 5, size of lhs = 1:
% 3.20/3.44 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #14: input, references = 4, size of lhs = 3:
% 3.20/3.44 pppp2-{F}(V0,V1,V3,V3), P_ordered_pair-{F}(V3,V3,V4), P_ordered_pair-{F}(V3,V3,V5) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #15: input, references = 6, size of lhs = 3:
% 3.20/3.44 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V5,V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #16: input, references = 6, size of lhs = 3:
% 3.20/3.44 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V4,V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #17: input, references = 7, size of lhs = 3:
% 3.20/3.44 pppp2-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5) | in-{T}(V2,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #18: input, references = 5, size of lhs = 5:
% 3.20/3.44 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #19: input, references = 5, size of lhs = 6:
% 3.20/3.44 P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3), P_set_union2-{F}(V2,V3,V4), relation-{F}(V0), V1 == V4 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #20: input, references = 3, size of lhs = 1:
% 3.20/3.44 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #21: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #22: input, references = 3, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | empty-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #23: input, references = 3, size of lhs = 3:
% 3.20/3.44 P_empty_set-{F}(V0), P_ordered_pair-{F}(V1,V2,V3), empty-{F}(V3) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #24: input, references = 4, size of lhs = 3:
% 3.20/3.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V2,V3), empty-{F}(V3) | empty-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #25: input, references = 5, size of lhs = 3:
% 3.20/3.44 P_empty_set-{F}(V0), P_set_union2-{F}(V2,V1,V3), empty-{F}(V3) | empty-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #26: input, references = 4, size of lhs = 3:
% 3.20/3.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #27: input, references = 4, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #28: input, references = 4, size of lhs = 1:
% 3.20/3.44 pppp6-{F}(V0) | pppp5-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #29: input, references = 4, size of lhs = 3:
% 3.20/3.44 pppp5-{F}(V0), pppp1-{F}(V0), antisymmetric-{F}(V0) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #30: input, references = 4, size of lhs = 1:
% 3.20/3.44 pppp5-{F}(V0) | antisymmetric-{T}(V0), pppp1-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #31: input, references = 4, size of lhs = 1:
% 3.20/3.44 pppp5-{F}(V0) | relation-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #32: input, references = 4, size of lhs = 7:
% 3.20/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), P_ordered_pair-{F}(V2,V3,V4), P_ordered_pair-{F}(V3,V2,V5), in-{F}(V4,V1), in-{F}(V5,V1), V2 == V3 | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #33: input, references = 8, size of lhs = 2:
% 3.20/3.44 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp15-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #34: input, references = 5, size of lhs = 1:
% 3.20/3.44 pppp15-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #35: input, references = 6, size of lhs = 1:
% 3.20/3.44 pppp8-{F}(V0,V1) | EXISTS V2: pppp7-{T}(V0,V1,V2)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #36: input, references = 5, size of lhs = 3:
% 3.20/3.44 pppp7-{F}(V0,V2,V2), P_ordered_pair-{F}(V2,V2,V3), P_ordered_pair-{F}(V2,V2,V4) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #37: input, references = 7, size of lhs = 3:
% 3.20/3.44 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | in-{T}(V4,V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #38: input, references = 12, size of lhs = 3:
% 3.20/3.44 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V1,V4) | in-{T}(V3,V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #39: input, references = 3, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #40: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp9-{F}(V0) | function-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #41: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp9-{F}(V0) | relation-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #42: input, references = 4, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #43: input, references = 5, size of lhs = 1:
% 3.20/3.44 pppp10-{F}(V0) | empty-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #44: input, references = 4, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #45: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp11-{F}(V0) | function-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #46: input, references = 5, size of lhs = 1:
% 3.20/3.44 pppp11-{F}(V0) | empty-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #47: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp11-{F}(V0) | relation-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #48: input, references = 3, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #49: input, references = 3, size of lhs = 2:
% 3.20/3.44 pppp12-{F}(V0), empty-{F}(V0) | FALSE
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #50: input, references = 3, size of lhs = 1:
% 3.20/3.44 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #51: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp13-{F}(V0) | one_to_one-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #52: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp13-{F}(V0) | function-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.20/3.44
% 3.20/3.44 #53: input, references = 3, size of lhs = 1:
% 3.20/3.44 pppp13-{F}(V0) | relation-{T}(V0)
% 3.20/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #54: input, references = 4, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), P_set_union2-{F}(V1,V0,V2), V2 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #55: input, references = 3, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #56: input, references = 5, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #57: input, references = 7, size of lhs = 5:
% 3.29/3.44 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1) | in-{T}(V4,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #58: input, references = 3, size of lhs = 5:
% 3.29/3.44 P_empty_set-{F}(V0), P_relation_field-{F}(V1,V2), relation-{F}(V1), P_ordered_pair-{F}(V4,V3,V5), in-{F}(V5,V1) | in-{T}(V3,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #59: input, references = 6, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #60: input, references = 6, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #61: input, references = 6, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #62: input, references = 6, size of lhs = 2:
% 3.29/3.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #63: input, references = 6, size of lhs = 2:
% 3.29/3.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_union2-{T}(V0,V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #64: input, references = 5, size of lhs = 1:
% 3.29/3.44 #-{F} V0 | EXISTS V1: P_relation_field-{T}(V0,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #65: input, references = 26, size of lhs = 2:
% 3.29/3.44 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #66: input, references = 3, size of lhs = 1:
% 3.29/3.44 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #67: input, references = 4, size of lhs = 1:
% 3.29/3.44 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #68: input, references = 5, size of lhs = 1:
% 3.29/3.44 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #69: input, references = 4, size of lhs = 0:
% 3.29/3.44 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 number of initial rules = 70
% 3.29/3.44
% 3.29/3.44 Simplifiers:
% 3.29/3.44 #70: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #71: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_set_union2-{F}(V0,V1,V2), P_set_union2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #72: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_relation_field-{F}(V0,V1), P_relation_field-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #73: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #74: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #75: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #76: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #77: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #78: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #79: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp2-{F}(V0,V1,V2,V3), pppp2-{F}(V0,V1,V6,V7), V3 == V7 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #80: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #81: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #82: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #83: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #84: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #85: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp7-{F}(V0,V1,V2), pppp7-{F}(V0,V4,V5), V1 == V4 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #86: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #87: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #88: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #89: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #90: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #91: unsound, references = 3, size of lhs = 3:
% 3.29/3.44 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 number of simplifiers = 22
% 3.29/3.44
% 3.29/3.44 Learnt:
% 3.29/3.44 #93: exists( #63, #26 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V1,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #99: mergings( V0 == V2; #96 ), references = 1, size of lhs = 1:
% 3.29/3.44 P_empty_set-{F}(V0) | pppp10-{T}(V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #101: mergings( V0 == V2; #97 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp10-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #103: exists( #62, #18 ), references = 2, size of lhs = 3:
% 3.29/3.44 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #106: exists( #63, #54 ), references = 3, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), #-{F} V1 | P_set_union2-{T}(V1,V0,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #107: exists( #63, #19 ), references = 5, size of lhs = 4:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | P_set_union2-{T}(V2,V3,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #114: mergings( V0 == V2; #111 ), references = 1, size of lhs = 1:
% 3.29/3.44 P_empty_set-{F}(V0) | pppp11-{T}(V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #116: mergings( V0 == V2; #112 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1) | pppp11-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #121: exists( #62, #3 ), references = 2, size of lhs = 1:
% 3.29/3.44 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #123: exists( #63, #4 ), references = 1, size of lhs = 1:
% 3.29/3.44 P_set_union2-{F}(V0,V1,V2) | P_set_union2-{T}(V1,V0,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #127: exists( #68, #125 ), references = 1, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V0), P_relation_field-{F}(V1,V2) | P_relation_rng-{T}(V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #129: disj( #56, input ), references = 1, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), element-{F}(V1,V1) | empty-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #135: exists( #65, #18 ), references = 2, size of lhs = 3:
% 3.29/3.44 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #141: mergings( V0 == V3; #137 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #144: mergings( V0 == V3, V2 == V3; #138 ), references = 1, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #147: mergings( V0 == V3, V2 == V3; #139 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), element-{F}(V1,V0), P_ordered_pair-{F}(V2,V3,V0) | in-{T}(V1,V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #151: mergings( V0 == V2; #149 ), references = 1, size of lhs = 6:
% 3.29/3.44 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V3,V2), P_ordered_pair-{F}(V4,V5,V1), V4 == V5, P_ordered_pair-{F}(V5,V4,V3) | pppp15-{T}(V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #174: disj( #10, input ), references = 1, size of lhs = 7:
% 3.29/3.44 in-{F}(V0,V1), in-{F}(V2,V1), V2 == V0, P_ordered_pair-{F}(V2,V0,V3), P_ordered_pair-{F}(V0,V2,V4), in-{F}(V3,V5), in-{F}(V4,V5) | pppp14-{T}(V5,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #200: exists( #11, #197 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V2,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #202: disj( #10, exists( #11, #197 ) ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V2,V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #211: disj( #33, input ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), pppp5-{F}(V1), antisymmetric-{F}(V1) | pppp15-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #272: exists( #65, #269 ), references = 1, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp7-{F}(V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #274: exists( #65, #271 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp7-{F}(V1,V2,V3) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #276: exists( #35, #273 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), empty-{F}(V1), pppp8-{F}(V1,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #278: exists( #34, #275 ), references = 1, size of lhs = 3:
% 3.29/3.44 pppp15-{F}(V0), empty-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #283: mergings( V0 == V2; #281 ), references = 1, size of lhs = 2:
% 3.29/3.44 empty-{F}(V0), P_empty_set-{F}(V1) | pppp1-{T}(V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #307: exists( #65, #303 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_ordered_pair-{F}(V0,V1,V2), pppp2-{F}(V2,V3,V1,V0) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #309: mergings( V6 == V8; #306 ), references = 2, size of lhs = 6:
% 3.29/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp2-{F}(V1,V2,V3,V4), V4 == V3, pppp2-{F}(V1,V5,V3,V4), P_ordered_pair-{F}(V4,V3,V6) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #313: exists( #65, #309 ), references = 1, size of lhs = 5:
% 3.29/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp2-{F}(V1,V2,V3,V4), V4 == V3, pppp2-{F}(V1,V5,V3,V4) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #315: exists( #12, #312 ), references = 2, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp3-{F}(V1,V2,V3) | pppp2-{T}(V1,V2,V3,V3)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #328: exists( #65, #14 ), references = 2, size of lhs = 1:
% 3.29/3.44 pppp2-{F}(V0,V1,V2,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #331: exists( #11, #329 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), pppp14-{F}(V1,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #334: disj( #10, exists( #11, #329 ) ), references = 2, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), pppp1-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #349: exists( #64, #347 ), references = 2, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp5-{F}(V1), pppp1-{F}(V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #355: mergings( V0 == V2; #353 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_empty_set-{F}(V0), pppp14-{F}(V1,V2) | pppp15-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #362: mergings( V0 == V2; #360 ), references = 1, size of lhs = 3:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp5-{F}(V1) | pppp15-{T}(V1)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #374: mergings( V4 == V5; #372 ), references = 1, size of lhs = 6:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), in-{F}(V4,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #376: mergings( V4 == V5; #370 ), references = 2, size of lhs = 5:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3) | P_relation_rng-{T}(V0,V3)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #378: mergings( V4 == V5; #371 ), references = 1, size of lhs = 6:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), empty-{F}(V1), P_relation_dom-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4) | P_relation_rng-{T}(V0,V4)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #384: mergings( V2 == V4; #382 ), references = 1, size of lhs = 4:
% 3.29/3.44 empty-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_field-{F}(V2,V0) | P_relation_dom-{T}(V2,V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #422: mergings( V7 == V5, V5 == V10; #419 ), references = 1, size of lhs = 7:
% 3.29/3.44 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp2-{F}(V3,V1,V4,V2), V2 == V4, pppp2-{F}(V0,V5,V4,V2), pppp2-{F}(V0,V6,V4,V2), P_ordered_pair-{F}(V2,V4,V7) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #424: exists( #65, #419 ), references = 1, size of lhs = 6:
% 3.29/3.44 pppp0-{F}(V0,V1), in-{F}(V2,V1), pppp2-{F}(V3,V1,V4,V2), V2 == V4, pppp2-{F}(V0,V5,V4,V2), pppp2-{F}(V0,V6,V4,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #426: exists( #12, #423 ), references = 2, size of lhs = 3:
% 3.29/3.44 pppp0-{F}(V0,V1), pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | pppp2-{T}(V0,V1,V2,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #434: exists( #11, #432 ), references = 1, size of lhs = 2:
% 3.29/3.44 pppp14-{F}(V0,V1), pppp0-{F}(V0,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #438: disj( #30, #5+#7+#433 ), references = 1, size of lhs = 4:
% 3.29/3.44 pppp5-{F}(V0), relation-{F}(V0), P_relation_field-{F}(V0,V1), pppp14-{F}(V0,V1) | pppp1-{T}(V0)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #443: disj( #10, #437+#349 ), references = 1, size of lhs = 4:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp5-{F}(V1), P_relation_field-{F}(V1,V2) | pppp0-{T}(V1,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #469: exists( #65, #466 ), references = 1, size of lhs = 6:
% 3.29/3.44 in-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), P_unordered_pair-{F}(V3,V1,V4), P_unordered_pair-{F}(V1,V3,V4), pppp2-{F}(V5,V0,V1,V3) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #472: exists( #62, #470 ), references = 1, size of lhs = 4:
% 3.29/3.44 in-{F}(V0,V1), P_singleton-{F}(V1,V2), P_singleton-{F}(V3,V2), pppp2-{F}(V4,V0,V1,V3) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #495: exists( #65, #493 ), references = 1, size of lhs = 3:
% 3.29/3.44 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1,V3), P_ordered_pair-{F}(V3,V1,V4) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #497: exists( #65, #494 ), references = 1, size of lhs = 2:
% 3.29/3.44 in-{F}(V0,V1), pppp2-{F}(V2,V0,V1,V3) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #502: exists( #65, #500 ), references = 1, size of lhs = 2:
% 3.29/3.44 P_ordered_pair-{F}(V0,V1,V2), pppp2-{F}(V2,V3,V0,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #534: mergings( V0 == V4; #532 ), references = 1, size of lhs = 5:
% 3.29/3.44 pppp0-{F}(V0,V0), in-{F}(V1,V0), pppp7-{F}(V0,V1,V2), V1 == V2, P_ordered_pair-{F}(V1,V2,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #544: mergings( V6 == V7; #542 ), references = 2, size of lhs = 8:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V1,V3,V4), V3 == V4, P_ordered_pair-{F}(V3,V4,V5) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #546: exists( #65, #542 ), references = 2, size of lhs = 7:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V1,V3,V4), V3 == V4 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #548: exists( #35, #545 ), references = 1, size of lhs = 6:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp8-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3), in-{F}(V2,V3) | pppp7-{T}(V1,V2,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #553: mergings( V6 == V7; #551 ), references = 1, size of lhs = 8:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp8-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3), P_ordered_pair-{F}(V2,V2,V4), pppp2-{F}(V5,V3,V2,V6), P_ordered_pair-{F}(V6,V2,V7) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #556: mergings( V6 == V7; #554 ), references = 2, size of lhs = 7:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp8-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3), P_ordered_pair-{F}(V2,V2,V4), pppp2-{F}(V5,V3,V2,V6) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #559: exists( #65, #556 ), references = 1, size of lhs = 6:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp8-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3), pppp2-{F}(V4,V3,V2,V5) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #586: exists( #65, #582 ), references = 2, size of lhs = 3:
% 3.29/3.44 in-{F}(V0,V1), pppp7-{F}(V0,V2,V3), P_ordered_pair-{F}(V2,V3,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #587: exists( #65, #583 ), references = 1, size of lhs = 7:
% 3.29/3.44 pppp0-{F}(V0,V0), in-{F}(V1,V0), P_ordered_pair-{F}(V2,V1,V2), V2 == V1, P_ordered_pair-{F}(V1,V2,V2), pppp7-{F}(V0,V3,V4), P_ordered_pair-{F}(V3,V4,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #610: exists( #65, #605 ), references = 1, size of lhs = 2:
% 3.29/3.44 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V0) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #611: exists( #65, #606 ), references = 1, size of lhs = 4:
% 3.29/3.44 pppp7-{F}(V0,V1,V2), P_ordered_pair-{F}(V1,V2,V3), pppp7-{F}(V3,V4,V5), P_ordered_pair-{F}(V4,V5,V0) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #639: mergings( V3 == V6; #635 ), references = 1, size of lhs = 11:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), pppp7-{F}(V0,V4,V5), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V7,V8,V6), pppp7-{F}(V3,V7,V9), V7 == V9 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #641: mergings( V3 == V6; #636 ), references = 1, size of lhs = 12:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), pppp7-{F}(V0,V4,V5), P_ordered_pair-{F}(V4,V5,V6), P_ordered_pair-{F}(V7,V8,V6), pppp7-{F}(V3,V7,V9), V7 == V9, P_ordered_pair-{F}(V7,V9,V10) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #643: mergings( V6 == V7; #637 ), references = 1, size of lhs = 9:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V1,V4,V3), V3 == V4, P_ordered_pair-{F}(V4,V3,V5), P_ordered_pair-{F}(V4,V6,V5) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #648: mergings( V3 == V6; #644 ), references = 1, size of lhs = 9:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), pppp7-{F}(V0,V4,V5), pppp7-{F}(V3,V4,V6), V4 == V6 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #650: mergings( V3 == V6; #645 ), references = 1, size of lhs = 9:
% 3.29/3.44 relation-{F}(V0), P_relation_field-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_field-{F}(V3,V1), pppp0-{F}(V3,V1), pppp7-{F}(V0,V4,V5), V4 == V5, pppp7-{F}(V3,V4,V5) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #651: exists( #65, #637 ), references = 1, size of lhs = 7:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_field-{F}(V1,V2), pppp0-{F}(V1,V2), in-{F}(V3,V2), pppp7-{F}(V1,V4,V3), V3 == V4 | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #655: mergings( V3 == V5; #652 ), references = 1, size of lhs = 5:
% 3.29/3.44 P_empty_set-{F}(V0), relation-{F}(V1), pppp8-{F}(V1,V2), P_relation_field-{F}(V1,V3), pppp0-{F}(V1,V3) | pppp7-{T}(V1,V2,V2)
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #661: exists( #65, #36 ), references = 1, size of lhs = 1:
% 3.29/3.44 pppp7-{F}(V0,V1,V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #665: mergings( V2 == V3; #663 ), references = 1, size of lhs = 5:
% 3.29/3.44 pppp15-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_field-{F}(V0,V2), pppp0-{F}(V0,V2) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #670: mergings( V2 == V3, V3 == V4; #667 ), references = 1, size of lhs = 4:
% 3.29/3.44 pppp5-{F}(V0), pppp15-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #680: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #674 ), references = 1, size of lhs = 1:
% 3.29/3.44 P_empty_set-{F}(V0) | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 #682: exists( #69, #674 ), references = 1, size of lhs = 0:
% 3.29/3.44 FALSE | FALSE
% 3.29/3.44 (used 0 times, uses = {})
% 3.29/3.44
% 3.29/3.44 number of learnt formulas = 74
% 3.29/3.44
% 3.29/3.44
% 3.29/3.44 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.29/3.44
% 3.29/3.44 randbase = 1
%------------------------------------------------------------------------------