TSTP Solution File: SEU223+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:17:32 EDT 2022
% Result : Theorem 8.41s 8.58s
% Output : Refutation 8.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 18:53:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 8.41/8.58 GeoParameters:
% 8.41/8.58
% 8.41/8.58 tptp_input = 1
% 8.41/8.58 tptp_output = 0
% 8.41/8.58 nonempty = 1
% 8.41/8.58 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.41/8.58
% 8.41/8.58
% 8.41/8.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.41/8.58
% 8.41/8.58 RuleSystem INPUT:
% 8.41/8.58
% 8.41/8.58 Initial Rules:
% 8.41/8.58 #0: input, references = 3, size of lhs = 0:
% 8.41/8.58 FALSE | EXISTS V0: pppp1-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #1: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp1-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #2: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp1-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #3: input, references = 7, size of lhs = 3:
% 8.41/8.58 relation-{F}(V0), relation_empty_yielding-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation-{T}(V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #4: input, references = 3, size of lhs = 3:
% 8.41/8.58 relation-{F}(V0), relation_empty_yielding-{F}(V0), P_relation_dom_restriction-{F}(V0,V1,V2) | relation_empty_yielding-{T}(V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #5: input, references = 3, size of lhs = 0:
% 8.41/8.58 FALSE | EXISTS V0: pppp2-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #6: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp2-{F}(V0) | one_to_one-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #7: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp2-{F}(V0) | function-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #8: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp2-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #9: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #10: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #11: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #12: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #13: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #14: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #15: input, references = 4, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #16: input, references = 3, size of lhs = 2:
% 8.41/8.58 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp3-{T}(V1,V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #17: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp3-{F}(V0,V1) | element-{T}(V1,V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #18: input, references = 3, size of lhs = 2:
% 8.41/8.58 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #19: input, references = 4, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #20: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp4-{F}(V0) | function-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #21: input, references = 5, size of lhs = 1:
% 8.41/8.58 pppp4-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #22: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp4-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #23: input, references = 3, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #24: input, references = 4, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #25: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp5-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #26: input, references = 5, size of lhs = 1:
% 8.41/8.58 pppp5-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #27: input, references = 3, size of lhs = 2:
% 8.41/8.58 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #28: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #29: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp6-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #30: input, references = 3, size of lhs = 2:
% 8.41/8.58 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #31: input, references = 5, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #32: input, references = 5, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #33: input, references = 3, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #34: input, references = 4, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #35: input, references = 5, size of lhs = 1:
% 8.41/8.58 pppp7-{F}(V0) | empty-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #36: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #37: input, references = 3, size of lhs = 2:
% 8.41/8.58 pppp8-{F}(V0), empty-{F}(V0) | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #38: input, references = 4, size of lhs = 2:
% 8.41/8.58 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #39: input, references = 8, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #40: input, references = 8, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #41: input, references = 4, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), P_set_intersection2-{F}(V2,V1,V4), V3 == V4 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #42: input, references = 4, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #43: input, references = 5, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #44: input, references = 4, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #45: input, references = 3, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #46: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp9-{F}(V0) | function-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #47: input, references = 3, size of lhs = 1:
% 8.41/8.58 pppp9-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #48: input, references = 3, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #49: input, references = 8, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #50: input, references = 3, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), P_set_intersection2-{F}(V2,V1,V3), relation-{F}(V2) | relation-{T}(V3)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #51: input, references = 3, size of lhs = 2:
% 8.41/8.58 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #52: input, references = 5, size of lhs = 3:
% 8.41/8.58 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #53: input, references = 4, size of lhs = 1:
% 8.41/8.58 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #54: input, references = 6, size of lhs = 1:
% 8.41/8.58 pppp12-{F}(V0) | EXISTS V1: pppp11-{T}(V0,V1)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #55: input, references = 4, size of lhs = 1:
% 8.41/8.58 pppp12-{F}(V0) | function-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #56: input, references = 4, size of lhs = 1:
% 8.41/8.58 pppp12-{F}(V0) | relation-{T}(V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #57: input, references = 6, size of lhs = 1:
% 8.41/8.58 pppp11-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V2,V1,V0)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #58: input, references = 7, size of lhs = 5:
% 8.41/8.58 pppp10-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V6), P_apply-{F}(V2,V1,V6) | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #59: input, references = 9, size of lhs = 5:
% 8.41/8.58 pppp10-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom-{F}(V3,V4), P_apply-{F}(V3,V1,V5), P_apply-{F}(V2,V1,V6) | in-{T}(V1,V4)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #60: input, references = 8, size of lhs = 6:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V4), function-{F}(V4), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4) | pppp0-{T}(V3,V4,V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #61: input, references = 4, size of lhs = 8:
% 8.41/8.58 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4), pppp0-{F}(V3,V1,V2), V1 == V4 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #62: input, references = 5, size of lhs = 6:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), V4 == V6 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #63: input, references = 10, size of lhs = 9:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V4), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6), pppp0-{F}(V1,V2,V3), P_apply-{F}(V2,V7,V8), P_apply-{F}(V3,V7,V9), in-{F}(V7,V4), V8 == V9 | FALSE
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #64: input, references = 10, size of lhs = 4:
% 8.41/8.58 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V6), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V1,V6) | pppp0-{T}(V1,V2,V3), pppp14-{T}(V2,V3,V6)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #65: input, references = 7, size of lhs = 1:
% 8.41/8.58 pppp14-{F}(V0,V1,V2) | EXISTS V3: pppp13-{T}(V0,V1,V3,V2)
% 8.41/8.58 (used 0 times, uses = {})
% 8.41/8.58
% 8.41/8.58 #66: input, references = 5, size of lhs = 3:
% 8.41/8.58 pppp13-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V5), P_apply-{F}(V1,V2,V5) | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #67: input, references = 9, size of lhs = 3:
% 8.41/8.59 pppp13-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), P_apply-{F}(V1,V2,V5) | in-{T}(V2,V3)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #68: input, references = 10, size of lhs = 2:
% 8.41/8.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #69: input, references = 4, size of lhs = 0:
% 8.41/8.59 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #70: input, references = 7, size of lhs = 2:
% 8.41/8.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #71: input, references = 7, size of lhs = 1:
% 8.41/8.59 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #72: input, references = 22, size of lhs = 2:
% 8.41/8.59 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 number of initial rules = 73
% 8.41/8.59
% 8.41/8.59 Simplifiers:
% 8.41/8.59 #73: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #74: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #75: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #76: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #77: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #78: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #79: unsound, references = 3, size of lhs = 3:
% 8.41/8.59 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 8.41/8.59 (used 0 times, uses = {})
% 8.41/8.59
% 8.41/8.59 #80: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp3-{F}(V0,V1), pppp3-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #81: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #82: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #83: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #84: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #85: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #86: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #87: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V1,V2), V0 == V3 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #88: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V2), V1 == V4 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #89: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #90: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp11-{F}(V0,V1), pppp11-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #91: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V0 == V2 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #92: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #93: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #94: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp13-{F}(V0,V1,V2,V3), pppp13-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #95: unsound, references = 3, size of lhs = 3:
% 8.43/8.59 pppp14-{F}(V0,V1,V2), pppp14-{F}(V0,V4,V5), V2 == V5 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 number of simplifiers = 23
% 8.43/8.59
% 8.43/8.59 Learnt:
% 8.43/8.59 #101: mergings( V2 == V3; #98 ), references = 1, size of lhs = 2:
% 8.43/8.59 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #103: mergings( V2 == V3; #99 ), references = 1, size of lhs = 3:
% 8.43/8.59 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #106: exists( #70, #15 ), references = 2, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #107: exists( #70, #42 ), references = 1, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #109: exists( #71, #62 ), references = 6, size of lhs = 4:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V4), pppp0-{F}(V3,V5,V1) | P_relation_dom-{T}(V5,V4)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #132: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #126 ), references = 1, size of lhs = 7:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_set_intersection2-{F}(V3,V4,V1) | P_relation_dom_restriction-{T}(V0,V4,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #137: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #127 ), references = 1, size of lhs = 8:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), empty-{F}(V1), P_empty_set-{F}(V2), empty-{F}(V3), P_relation_dom-{F}(V0,V4), P_set_intersection2-{F}(V4,V5,V1) | P_relation_dom_restriction-{T}(V0,V5,V3)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #142: exists( #70, #41 ), references = 2, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | P_set_intersection2-{T}(V2,V1,V3)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #143: exists( #70, #62 ), references = 1, size of lhs = 4:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5) | P_set_intersection2-{T}(V5,V3,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #149: mergings( V0 == V2; #146 ), references = 1, size of lhs = 1:
% 8.43/8.59 P_empty_set-{F}(V0) | pppp4-{T}(V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #151: mergings( V0 == V2; #147 ), references = 1, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1) | pppp4-{T}(V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #158: mergings( V0 == V2; #155 ), references = 1, size of lhs = 1:
% 8.43/8.59 P_empty_set-{F}(V0) | pppp7-{T}(V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #160: mergings( V0 == V2; #156 ), references = 1, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1) | pppp7-{T}(V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #168: mergings( V0 == V2; #165 ), references = 1, size of lhs = 1:
% 8.43/8.59 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #170: mergings( V0 == V2; #166 ), references = 1, size of lhs = 2:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #176: mergings( V0 == V3; #173 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #179: mergings( V0 == V3, V2 == V3; #174 ), references = 1, size of lhs = 4:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #186: exists( #72, #63 ), references = 3, size of lhs = 7:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp0-{F}(V5,V1,V6), P_relation_dom-{F}(V6,V7), P_set_intersection2-{F}(V7,V5,V8) | P_apply-{T}(V6,V3,V4)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #197: exists( #72, #193 ), references = 1, size of lhs = 4:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V3,V4,V1), P_apply-{F}(V2,V4,V5) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #198: exists( #72, #194 ), references = 1, size of lhs = 4:
% 8.43/8.59 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V4,V2,V1), P_apply-{F}(V3,V2,V5) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #201: exists( #72, #195 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V2,V3,V4,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #202: exists( #72, #196 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V4,V2,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #204: exists( #65, #199 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), pppp14-{F}(V2,V3,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #207: mergings( V0 == V6; #205 ), references = 1, size of lhs = 5:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V1) | pppp0-{T}(V5,V2,V3)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #211: mergings( V0 == V6; #209 ), references = 2, size of lhs = 10:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #216: exists( #72, #214 ), references = 3, size of lhs = 8:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V1,V9,V7,V2), P_apply-{F}(V9,V7,V10) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #224: exists( #72, #66 ), references = 1, size of lhs = 1:
% 8.43/8.59 pppp13-{F}(V0,V0,V1,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #226: exists( #65, #223 ), references = 1, size of lhs = 1:
% 8.43/8.59 pppp14-{F}(V0,V0,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #231: mergings( V3 == V4, V5 == V6; #228 ), references = 2, size of lhs = 5:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | P_relation_dom_restriction-{T}(V1,V3,V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #245: mergings( V3 == V4, V4 == V5, V5 == V6; #241 ), references = 2, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), pppp11-{F}(V1,V2), P_apply-{F}(V1,V2,V3) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #247: exists( #72, #63 ), references = 2, size of lhs = 7:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp0-{F}(V4,V1,V5), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V4,V7), P_apply-{F}(V5,V3,V8) | P_apply-{T}(V1,V3,V8)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #252: exists( #72, #245 ), references = 1, size of lhs = 5:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V0), pppp11-{F}(V1,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #253: exists( #72, #58 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_relation_dom_restriction-{F}(V0,V1,V0), pppp10-{F}(V1,V2,V0), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #255: exists( #54, #250 ), references = 1, size of lhs = 5:
% 8.43/8.59 pppp12-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #263: mergings( V2 == V3; #261 ), references = 1, size of lhs = 3:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_set_intersection2-{F}(V2,V3,V2) | pppp0-{T}(V3,V1,V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #276: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V8, V9 == V10; #270 ), references = 3, size of lhs = 9:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), in-{F}(V5,V4), pppp10-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #283: mergings( V0 == V6, V2 == V7, V4 == V8, V7 == V9; #278 ), references = 1, size of lhs = 8:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), P_relation_dom-{F}(V5,V6), P_set_intersection2-{F}(V6,V7,V2), P_apply-{F}(V5,V3,V8), V4 == V8 | pppp14-{T}(V1,V5,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #312: mergings( V3 == V4, V6 == V7; #309 ), references = 1, size of lhs = 14:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V1,V9,V7,V2), pppp13-{F}(V10,V9,V7,V2), P_apply-{F}(V10,V7,V11), pppp0-{F}(V12,V1,V13), P_relation_dom-{F}(V13,V14), P_set_intersection2-{F}(V14,V12,V15), P_apply-{F}(V13,V7,V16), V8 == V16 | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #316: mergings( V3 == V4, V6 == V7; #313 ), references = 2, size of lhs = 11:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp13-{F}(V1,V7,V8,V2), pppp13-{F}(V4,V7,V8,V2), pppp0-{F}(V9,V1,V10), P_relation_dom-{F}(V10,V11), P_set_intersection2-{F}(V11,V9,V12), P_apply-{F}(V10,V8,V13) | P_apply-{T}(V4,V8,V13)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #329: mergings( V0 == V6, V6 == V7, V2 == V8, V4 == V11, V8 == V12, V11 == V13; #321 ), references = 1, size of lhs = 14:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), P_apply-{F}(V1,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V7), P_relation_dom-{F}(V7,V8), P_set_intersection2-{F}(V8,V9,V2), P_apply-{F}(V6,V3,V10), pppp0-{F}(V11,V7,V12), P_relation_dom-{F}(V12,V13), P_set_intersection2-{F}(V13,V11,V14), P_apply-{F}(V12,V3,V15), V4 == V15 | pppp14-{T}(V1,V7,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #339: mergings( V0 == V6, V6 == V8, V2 == V10, V14 == V4, V4 == V16, V10 == V17, V7 == V19, V15 == V20, V13 == V18; #322 ), references = 1, size of lhs = 14:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4), P_apply-{F}(V3,V5,V6), pppp10-{F}(V7,V5,V0), P_set_intersection2-{F}(V2,V7,V8), P_set_intersection2-{F}(V8,V9,V4), P_relation_dom_restriction-{F}(V0,V7,V10), P_relation_dom-{F}(V10,V8), P_apply-{F}(V0,V5,V11) | pppp14-{T}(V3,V10,V4)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #369: mergings( V3 == V10, V8 == V11, V6 == V9; #365 ), references = 1, size of lhs = 10:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp10-{F}(V3,V5,V0), P_relation_dom_restriction-{F}(V0,V3,V6), P_relation_dom-{F}(V6,V4), P_apply-{F}(V0,V5,V7) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #382: mergings( V3 == V4, V4 == V5, V5 == V7, V6 == V0, V8 == V9, V13 == V14, V11 == V1; #374 ), references = 1, size of lhs = 8:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_set_intersection2-{F}(V2,V3,V4), pppp10-{F}(V3,V5,V0), P_apply-{F}(V0,V5,V6) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #389: mergings( V4 == V5, V5 == V6, V6 == V8, V7 == V3, V10 == V11; #383 ), references = 1, size of lhs = 7:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0), P_apply-{F}(V0,V4,V5) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #395: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #390 ), references = 2, size of lhs = 7:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), P_apply-{F}(V0,V1,V4) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #397: exists( #72, #395 ), references = 1, size of lhs = 6:
% 8.43/8.59 relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #399: exists( #54, #396 ), references = 1, size of lhs = 6:
% 8.43/8.59 pppp12-{F}(V0), relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #401: exists( #71, #398 ), references = 1, size of lhs = 5:
% 8.43/8.59 pppp12-{F}(V0), relation_empty_yielding-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #403: exists( #68, #61 ), references = 1, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), relation-{F}(V2), function-{F}(V2), pppp0-{F}(V3,V1,V2) | P_relation_dom_restriction-{T}(V2,V3,V1)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #406: mergings( V0 == V6; #404 ), references = 1, size of lhs = 10:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #423: exists( #72, #417 ), references = 1, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1), P_apply-{F}(V2,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #424: exists( #72, #418 ), references = 2, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), P_apply-{F}(V1,V3,V4), pppp10-{F}(V5,V3,V6), P_relation_dom_restriction-{F}(V6,V5,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #436: exists( #72, #434 ), references = 1, size of lhs = 8:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp13-{F}(V9,V1,V7,V2), P_apply-{F}(V9,V7,V10) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #474: mergings( V5 == V9; #472 ), references = 1, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp13-{F}(V1,V4,V7,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #477: exists( #65, #475 ), references = 1, size of lhs = 7:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp14-{F}(V1,V3,V2), pppp0-{F}(V4,V1,V3), P_relation_dom-{F}(V3,V5), P_set_intersection2-{F}(V5,V4,V6), pppp14-{F}(V7,V8,V9) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #482: mergings( V3 == V6, V5 == V9; #479 ), references = 1, size of lhs = 10:
% 8.43/8.59 relation-{F}(V0), function-{F}(V0), relation-{F}(V1), function-{F}(V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3), pppp0-{F}(V4,V0,V1), P_relation_dom-{F}(V1,V5), P_set_intersection2-{F}(V5,V6,V3), P_set_intersection2-{F}(V5,V4,V7) | P_relation_dom_restriction-{T}(V1,V6,V0)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #498: exists( #72, #424 ), references = 1, size of lhs = 5:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V2,V3), pppp10-{F}(V4,V3,V5), P_relation_dom_restriction-{F}(V5,V4,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #501: exists( #72, #499 ), references = 2, size of lhs = 6:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_apply-{F}(V3,V2,V4), pppp13-{F}(V3,V5,V2,V6), pppp10-{F}(V7,V6,V8), P_relation_dom_restriction-{F}(V8,V7,V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #529: mergings( V0 == V6; #527 ), references = 1, size of lhs = 10:
% 8.43/8.59 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), P_set_intersection2-{F}(V4,V5,V2), P_relation_dom_restriction-{F}(V3,V5,V6), V1 == V6 | pppp14-{T}(V1,V3,V2)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #538: mergings( V3 == V4, V6 == V17; #535 ), references = 1, size of lhs = 14:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), pppp0-{F}(V7,V1,V8), P_relation_dom-{F}(V8,V9), P_set_intersection2-{F}(V9,V7,V10), pppp10-{F}(V11,V2,V12), P_relation_dom_restriction-{F}(V12,V11,V13), P_relation_dom-{F}(V13,V14), pppp13-{F}(V1,V15,V14,V2), pppp13-{F}(V4,V15,V14,V2), pppp13-{F}(V4,V16,V14,V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #553: exists( #72, #551 ), references = 1, size of lhs = 9:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp0-{F}(V3,V1,V4), P_relation_dom-{F}(V4,V5), P_set_intersection2-{F}(V5,V3,V6), P_apply-{F}(V4,V7,V8), pppp10-{F}(V9,V7,V10), P_relation_dom_restriction-{F}(V10,V9,V1), P_apply-{F}(V10,V7,V11) | P_apply-{T}(V1,V7,V8)
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #561: mergings( V3 == V4, V10 == V13, V9 == V14, V11 == V12; #556 ), references = 1, size of lhs = 9:
% 8.43/8.59 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), P_relation_dom-{F}(V3,V2), P_apply-{F}(V3,V4,V5), P_apply-{F}(V6,V4,V5), pppp10-{F}(V7,V4,V6), P_relation_dom_restriction-{F}(V6,V7,V8), pppp0-{F}(V9,V8,V1), pppp0-{F}(V9,V8,V3) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #571: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V10 == V11; #565 ), references = 1, size of lhs = 6:
% 8.43/8.59 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0), P_apply-{F}(V0,V4,V5) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #577: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #572 ), references = 1, size of lhs = 5:
% 8.43/8.59 relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), pppp10-{F}(V3,V4,V0) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #583: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #578 ), references = 1, size of lhs = 5:
% 8.43/8.59 relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #589: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7; #584 ), references = 1, size of lhs = 4:
% 8.43/8.59 relation-{F}(V0), function-{F}(V0), pppp11-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #595: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #590 ), references = 1, size of lhs = 4:
% 8.43/8.59 pppp12-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #604: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #598 ), references = 1, size of lhs = 1:
% 8.43/8.59 P_empty_set-{F}(V0) | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 #606: exists( #69, #598 ), references = 1, size of lhs = 0:
% 8.43/8.59 FALSE | FALSE
% 8.43/8.59 (used 0 times, uses = {})
% 8.43/8.59
% 8.43/8.59 number of learnt formulas = 69
% 8.43/8.59
% 8.43/8.59
% 8.43/8.59 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.59
% 8.43/8.59 randbase = 1
%------------------------------------------------------------------------------