TSTP Solution File: SEU041+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:17:07 EDT 2022
% Result : Theorem 2.56s 2.77s
% Output : Refutation 2.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n006.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 19:34:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.56/2.77 GeoParameters:
% 2.56/2.77
% 2.56/2.77 tptp_input = 1
% 2.56/2.77 tptp_output = 0
% 2.56/2.77 nonempty = 1
% 2.56/2.77 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.77 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.56/2.77
% 2.56/2.77
% 2.56/2.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.77 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.77
% 2.56/2.77 RuleSystem INPUT:
% 2.56/2.77
% 2.56/2.77 Initial Rules:
% 2.56/2.77 #0: input, references = 3, size of lhs = 2:
% 2.56/2.77 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #1: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #2: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #3: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #4: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #5: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #6: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #7: input, references = 3, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #8: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #9: input, references = 4, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #10: input, references = 4, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #11: input, references = 4, size of lhs = 1:
% 2.56/2.77 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #12: input, references = 3, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #13: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #14: input, references = 3, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #15: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #16: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation_empty_yielding-{T}(V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #17: input, references = 3, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #18: input, references = 4, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #19: input, references = 7, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #20: input, references = 3, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #21: input, references = 6, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #22: input, references = 4, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #23: input, references = 6, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #24: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #25: input, references = 3, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #26: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #27: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp1-{F}(V0) | function-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #28: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp1-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #29: input, references = 4, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #30: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp2-{F}(V0) | function-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #31: input, references = 5, size of lhs = 1:
% 2.56/2.77 pppp2-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #32: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp2-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #33: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #34: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #35: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp3-{F}(V0) | function-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #36: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp3-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #37: input, references = 4, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #38: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #39: input, references = 3, size of lhs = 2:
% 2.56/2.77 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #40: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #41: input, references = 4, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #42: input, references = 4, size of lhs = 1:
% 2.56/2.77 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #43: input, references = 8, size of lhs = 1:
% 2.56/2.77 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #44: input, references = 4, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #45: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp6-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #46: input, references = 5, size of lhs = 1:
% 2.56/2.77 pppp6-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #47: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #48: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp7-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #49: input, references = 3, size of lhs = 2:
% 2.56/2.77 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #50: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #51: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #52: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp8-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #53: input, references = 4, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #54: input, references = 5, size of lhs = 1:
% 2.56/2.77 pppp9-{F}(V0) | empty-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #55: input, references = 3, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #56: input, references = 3, size of lhs = 2:
% 2.56/2.77 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #57: input, references = 8, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #58: input, references = 3, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #59: input, references = 4, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #60: input, references = 5, size of lhs = 1:
% 2.56/2.77 pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #61: input, references = 3, size of lhs = 1:
% 2.56/2.77 pppp13-{F}(V0) | function-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #62: input, references = 4, size of lhs = 1:
% 2.56/2.77 pppp13-{F}(V0) | relation-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #63: input, references = 8, size of lhs = 1:
% 2.56/2.77 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #64: input, references = 9, size of lhs = 5:
% 2.56/2.77 pppp11-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom_restriction-{F}(V3,V1,V3), P_relation_dom_restriction-{F}(V2,V1,V5), P_relation_dom_restriction-{F}(V5,V0,V3) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #65: input, references = 7, size of lhs = 5:
% 2.56/2.77 pppp11-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V2,V0,V3), P_relation_dom_restriction-{F}(V3,V1,V4), P_relation_dom_restriction-{F}(V2,V1,V5), P_relation_dom_restriction-{F}(V5,V0,V6) | subset-{T}(V0,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #66: input, references = 6, size of lhs = 6:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom_restriction-{F}(V4,V2,V5), subset-{F}(V3,V2), V5 == V4 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #67: input, references = 7, size of lhs = 7:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V4), P_relation_dom_restriction-{F}(V4,V3,V5), P_relation_dom_restriction-{F}(V1,V3,V6), subset-{F}(V3,V2), V5 == V6 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #68: input, references = 4, size of lhs = 0:
% 2.56/2.77 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #69: input, references = 7, size of lhs = 1:
% 2.56/2.77 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #70: input, references = 15, size of lhs = 2:
% 2.56/2.77 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 number of initial rules = 71
% 2.56/2.77
% 2.56/2.77 Simplifiers:
% 2.56/2.77 #71: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #72: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #73: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #74: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #75: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #76: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #77: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #78: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #79: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #80: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #81: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #82: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #83: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #84: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #85: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #86: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V2), V1 == V4 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #87: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #88: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #89: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #90: unsound, references = 3, size of lhs = 3:
% 2.56/2.77 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 number of simplifiers = 20
% 2.56/2.77
% 2.56/2.77 Learnt:
% 2.56/2.77 #97: mergings( V0 == V2; #94 ), references = 1, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #99: mergings( V0 == V2; #95 ), references = 1, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #106: mergings( V0 == V2; #103 ), references = 1, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #108: mergings( V0 == V2; #104 ), references = 1, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #119: exists( #70, #66 ), references = 8, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), subset-{F}(V2,V4) | P_relation_dom_restriction-{T}(V3,V4,V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #121: exists( #70, #67 ), references = 1, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), subset-{F}(V2,V3), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom_restriction-{F}(V4,V2,V5) | P_relation_dom_restriction-{T}(V1,V2,V5)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #126: mergings( V0 == V3; #122 ), references = 1, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #128: mergings( V0 == V3; #123 ), references = 2, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #131: mergings( V0 == V3, V2 == V3; #124 ), references = 1, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #136: mergings( V0 == V3; #132 ), references = 1, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #139: mergings( V0 == V3, V1 == V3; #133 ), references = 1, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #141: mergings( V1 == V0; #134 ), references = 1, size of lhs = 3:
% 2.56/2.77 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp14-{T}(V1)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #149: mergings( V0 == V3, V3 == V4; #146 ), references = 1, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #167: mergings( V0 == V4; #165 ), references = 6, size of lhs = 2:
% 2.56/2.77 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #169: exists( #70, #67 ), references = 3, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), subset-{F}(V2,V4), P_relation_dom_restriction-{F}(V1,V4,V5) | P_relation_dom_restriction-{T}(V5,V2,V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #195: mergings( V2 == V3, V3 == V4; #192 ), references = 1, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V0,V2), P_relation_dom_restriction-{F}(V2,V3,V2), pppp11-{F}(V4,V3,V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #199: mergings( V3 == V4, V4 == V5; #196 ), references = 2, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V0,V2), pppp12-{F}(V2,V3), P_relation_dom_restriction-{F}(V2,V3,V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #236: mergings( V2 == V3, V3 == V4, V4 == V6; #230 ), references = 1, size of lhs = 6:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_dom_restriction-{F}(V2,V1,V3), P_relation_dom_restriction-{F}(V0,V1,V3), pppp12-{F}(V3,V4) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #239: mergings( V2 == V3, V3 == V4; #231 ), references = 1, size of lhs = 4:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V0,V2), pppp11-{F}(V3,V3,V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #244: mergings( V2 == V3, V3 == V4, V4 == V6; #240 ), references = 1, size of lhs = 6:
% 2.56/2.77 pppp13-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), P_relation_dom_restriction-{F}(V1,V2,V0), relation-{F}(V3), P_relation_dom_restriction-{F}(V3,V2,V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #358: mergings( V3 == V4, V6 == V7, V7 == V8, V9 == V10; #352 ), references = 1, size of lhs = 6:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), subset-{F}(V2,V3), pppp11-{F}(V3,V2,V1), P_relation_dom_restriction-{F}(V1,V2,V4), P_relation_dom_restriction-{F}(V4,V3,V5) | P_relation_dom_restriction-{T}(V1,V3,V5)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #363: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #353 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V2), subset-{F}(V3,V2), pppp11-{F}(V2,V3,V0), P_relation_dom_restriction-{F}(V0,V3,V4), P_relation_dom_restriction-{F}(V4,V2,V5) | P_relation_dom_restriction-{T}(V0,V2,V4)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #376: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V9 == V10, V7 == V11; #369 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_dom_restriction-{F}(V0,V1,V3), P_relation_dom_restriction-{F}(V3,V1,V3), P_relation_dom_restriction-{F}(V2,V1,V3), pppp11-{F}(V4,V1,V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #383: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V8 == V9; #377 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp12-{F}(V2,V1), P_relation_dom_restriction-{F}(V0,V1,V3), P_relation_dom_restriction-{F}(V3,V1,V3), P_relation_dom_restriction-{F}(V2,V1,V3) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #505: exists( #70, #502 ), references = 4, size of lhs = 10:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), pppp11-{F}(V4,V2,V5), P_relation_dom_restriction-{F}(V5,V4,V6), P_relation_dom_restriction-{F}(V5,V2,V7), P_relation_dom_restriction-{F}(V7,V4,V8), P_relation_dom_restriction-{F}(V3,V4,V9), P_relation_dom_restriction-{F}(V1,V4,V10), V9 == V10 | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #506: exists( #70, #501 ), references = 3, size of lhs = 7:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V4,V2,V3), pppp11-{F}(V2,V5,V4), P_relation_dom_restriction-{F}(V4,V5,V6), P_relation_dom_restriction-{F}(V6,V2,V7) | P_relation_dom_restriction-{T}(V3,V5,V3)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #510: mergings( V5 == V6, V7 == V8; #507 ), references = 1, size of lhs = 5:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V2,V3,V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom_restriction-{F}(V4,V2,V5) | P_relation_dom_restriction-{T}(V1,V2,V5)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #521: mergings( V2 == V3, V3 == V4, V4 == V6, V9 == V10; #516 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_dom_restriction-{F}(V0,V1,V3), P_relation_dom_restriction-{F}(V3,V4,V3), P_relation_dom_restriction-{F}(V2,V4,V3), pppp11-{F}(V5,V4,V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #526: mergings( V3 == V4, V4 == V5, V5 == V7; #522 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp12-{F}(V2,V3), P_relation_dom_restriction-{F}(V0,V1,V4), P_relation_dom_restriction-{F}(V4,V3,V4), P_relation_dom_restriction-{F}(V2,V3,V4) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #546: exists( #70, #505 ), references = 1, size of lhs = 6:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V3,V2,V3), pppp11-{F}(V4,V2,V3), P_relation_dom_restriction-{F}(V1,V4,V5) | P_relation_dom_restriction-{T}(V3,V4,V5)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #556: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V9; #551 ), references = 2, size of lhs = 6:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V2), P_relation_dom_restriction-{F}(V0,V3,V4), pppp11-{F}(V2,V3,V4), P_relation_dom_restriction-{F}(V4,V3,V4) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #560: mergings( V3 == V5; #558 ), references = 1, size of lhs = 5:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), P_relation_dom_restriction-{F}(V0,V2,V3), pppp12-{F}(V3,V2), P_relation_dom_restriction-{F}(V3,V2,V3) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #579: exists( #70, #505 ), references = 2, size of lhs = 7:
% 2.56/2.77 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3), P_relation_dom_restriction-{F}(V4,V2,V3), pppp11-{F}(V5,V2,V4), P_relation_dom_restriction-{F}(V4,V5,V6), P_relation_dom_restriction-{F}(V1,V5,V7) | P_relation_dom_restriction-{T}(V3,V5,V7)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #584: mergings( V3 == V4, V6 == V8; #581 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_dom_restriction-{F}(V2,V3,V4), P_relation_dom_restriction-{F}(V0,V3,V4), pppp11-{F}(V5,V3,V0), P_relation_dom_restriction-{F}(V2,V5,V6) | P_relation_dom_restriction-{T}(V0,V5,V6)
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #602: mergings( V3 == V4, V4 == V5, V5 == V7, V9 == V10, V8 == V11, V10 == V12, V12 == V13; #594 ), references = 1, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_dom_restriction-{F}(V0,V4,V3), P_relation_dom_restriction-{F}(V1,V4,V3), pppp11-{F}(V5,V4,V1) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #608: mergings( V3 == V4, V4 == V6, V6 == V7, V8 == V9; #603 ), references = 2, size of lhs = 7:
% 2.56/2.77 relation-{F}(V0), relation-{F}(V1), pppp12-{F}(V1,V2), P_empty_set-{F}(V3), relation-{F}(V4), P_relation_dom_restriction-{F}(V0,V2,V4), P_relation_dom_restriction-{F}(V1,V2,V4) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #612: mergings( V3 == V4; #610 ), references = 1, size of lhs = 3:
% 2.56/2.77 relation-{F}(V0), pppp12-{F}(V0,V1), P_empty_set-{F}(V2) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #615: mergings( V2 == V3; #613 ), references = 2, size of lhs = 3:
% 2.56/2.77 pppp13-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #619: mergings( V0 == V2; #617 ), references = 1, size of lhs = 1:
% 2.56/2.77 P_empty_set-{F}(V0) | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 #621: exists( #68, #617 ), references = 1, size of lhs = 0:
% 2.56/2.77 FALSE | FALSE
% 2.56/2.77 (used 0 times, uses = {})
% 2.56/2.77
% 2.56/2.77 number of learnt formulas = 42
% 2.56/2.77
% 2.56/2.77
% 2.56/2.77 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.56/2.77
% 2.56/2.77 randbase = 1
%------------------------------------------------------------------------------