%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 0.88s 1.04s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 18:44:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.04 GeoParameters:
% 0.88/1.04
% 0.88/1.04 tptp_input = 1
% 0.88/1.04 tptp_output = 0
% 0.88/1.04 nonempty = 1
% 0.88/1.04 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.04 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.88/1.04
% 0.88/1.04
% 0.88/1.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.04 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.04
% 0.88/1.04 RuleSystem INPUT:
% 0.88/1.04
% 0.88/1.04 Initial Rules:
% 0.88/1.04 #0: input, references = 3, size of lhs = 2:
% 0.88/1.04 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #1: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #2: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #3: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #4: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #5: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #6: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #7: input, references = 3, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #8: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #9: input, references = 3, size of lhs = 5:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #10: input, references = 9, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #11: input, references = 5, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #12: input, references = 5, size of lhs = 1:
% 0.88/1.04 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #13: input, references = 3, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #14: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #15: input, references = 4, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #16: input, references = 4, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #17: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #18: input, references = 5, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #19: input, references = 3, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #20: input, references = 5, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #21: input, references = 3, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #22: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), relation_empty_yielding-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #23: input, references = 3, size of lhs = 4:
% 0.88/1.04 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)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #24: input, references = 3, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #25: input, references = 5, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #26: input, references = 11, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #27: input, references = 3, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #28: input, references = 3, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #29: input, references = 4, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #30: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | relation-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #31: input, references = 3, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom_restriction-{F}(V1,V2,V3) | function-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #32: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #33: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp1-{F}(V0) | function-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #34: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp1-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #35: input, references = 4, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #36: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp2-{F}(V0) | function-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #37: input, references = 5, size of lhs = 1:
% 0.88/1.04 pppp2-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #38: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp2-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #39: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #40: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #41: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp3-{F}(V0) | function-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #42: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp3-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #43: input, references = 4, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #44: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp13-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #45: input, references = 3, size of lhs = 2:
% 0.88/1.04 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #46: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #47: input, references = 4, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #48: input, references = 4, size of lhs = 1:
% 0.88/1.04 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #49: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #50: input, references = 4, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #51: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp6-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #52: input, references = 5, size of lhs = 1:
% 0.88/1.04 pppp6-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #53: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #54: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp7-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #55: input, references = 3, size of lhs = 2:
% 0.88/1.04 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #56: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #57: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #58: input, references = 3, size of lhs = 1:
% 0.88/1.04 pppp8-{F}(V0) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #59: input, references = 4, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #60: input, references = 5, size of lhs = 1:
% 0.88/1.04 pppp9-{F}(V0) | empty-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #61: input, references = 3, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #62: input, references = 3, size of lhs = 2:
% 0.88/1.04 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #63: input, references = 4, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #64: input, references = 6, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #65: input, references = 4, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #66: input, references = 5, size of lhs = 3:
% 0.88/1.04 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | EXISTS V3: pppp11-{T}(V0,V1,V2,V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #67: input, references = 3, size of lhs = 3:
% 0.88/1.04 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | function-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #68: input, references = 4, size of lhs = 3:
% 0.88/1.04 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #69: input, references = 5, size of lhs = 6:
% 0.88/1.04 pppp11-{F}(V0,V1,V2,V3), P_relation_dom_restriction-{F}(V0,V3,V4), P_relation_dom-{F}(V4,V5), P_relation_rng-{F}(V4,V6), subset-{F}(V5,V1), subset-{F}(V6,V2) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #70: input, references = 5, size of lhs = 5:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom-{F}(V4,V5) | subset-{T}(V5,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #71: input, references = 4, size of lhs = 5:
% 0.88/1.04 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_rng-{F}(V4,V5) | subset-{T}(V5,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #72: input, references = 4, size of lhs = 0:
% 0.88/1.04 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #73: input, references = 5, size of lhs = 1:
% 0.88/1.04 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #74: input, references = 7, size of lhs = 1:
% 0.88/1.04 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #75: input, references = 6, size of lhs = 1:
% 0.88/1.04 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #76: input, references = 5, size of lhs = 2:
% 0.88/1.04 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_dom_restriction-{T}(V0,V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 number of initial rules = 77
% 0.88/1.04
% 0.88/1.04 Simplifiers:
% 0.88/1.04 #77: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #78: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #79: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #80: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #81: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 P_relation_dom_restriction-{F}(V0,V1,V2), P_relation_dom_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #82: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #83: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #84: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #85: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #86: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #87: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #88: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #89: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #90: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #91: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #92: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #93: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #94: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #95: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V1 == V5 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #96: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V5,V6,V7), V2 == V6 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #97: unsound, references = 3, size of lhs = 3:
% 0.88/1.04 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 number of simplifiers = 21
% 0.88/1.04
% 0.88/1.04 Learnt:
% 0.88/1.04 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #116: mergings( V0 == V2; #113 ), references = 1, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #118: mergings( V0 == V2; #114 ), references = 1, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #132: mergings( V0 == V2; #129 ), references = 1, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #134: mergings( V0 == V2; #130 ), references = 1, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #150: mergings( V2 == V3; #147 ), references = 1, size of lhs = 2:
% 0.88/1.04 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #152: mergings( V2 == V3; #148 ), references = 1, size of lhs = 3:
% 0.88/1.04 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #165: mergings( V2 == V3; #162 ), references = 1, size of lhs = 2:
% 0.88/1.04 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #167: mergings( V2 == V3; #163 ), references = 1, size of lhs = 3:
% 0.88/1.04 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #173: mergings( V0 == V3; #171 ), references = 1, size of lhs = 5:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #186: mergings( V2 == V3, V3 == V4, V4 == V7; #180 ), references = 1, size of lhs = 7:
% 0.88/1.04 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), subset-{F}(V4,V3), element-{F}(V5,V4), P_powerset-{F}(V6,V4) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #190: mergings( V2 == V3, V3 == V4, V4 == V7; #181 ), references = 2, size of lhs = 7:
% 0.88/1.04 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), subset-{F}(V4,V3), V4 == V2, element-{F}(V5,V4) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #195: mergings( V2 == V3, V3 == V4, V4 == V7, V10 == V7; #182 ), references = 1, size of lhs = 8:
% 0.88/1.04 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), empty-{F}(V3), V2 == V3, subset-{F}(V2,V4), P_powerset-{F}(V4,V1), element-{F}(V5,V2) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #214: mergings( V0 == V3; #210 ), references = 1, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #216: mergings( V0 == V3; #211 ), references = 1, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #219: mergings( V0 == V3, V2 == V3; #212 ), references = 1, size of lhs = 4:
% 0.88/1.04 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #231: mergings( V0 == V5; #229 ), references = 3, size of lhs = 6:
% 0.88/1.04 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1), subset-{F}(V4,V3), V4 == V2 | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #247: mergings( V2 == V7; #245 ), references = 2, size of lhs = 7:
% 0.88/1.04 relation-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), P_empty_set-{F}(V4), P_relation_dom_restriction-{F}(V0,V5,V6) | P_relation_dom-{T}(V6,V4)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #267: mergings( V3 == V7, V7 == V8, V8 == V9; #263 ), references = 2, size of lhs = 8:
% 0.88/1.04 relation-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V1,V3), empty-{F}(V4), P_empty_set-{F}(V4), #-{F} V5 | P_relation_dom_restriction-{T}(V0,V5,V4)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #289: mergings( V0 == V4; #287 ), references = 1, size of lhs = 2:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #321: mergings( V0 == V3; #317 ), references = 1, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3) | pppp13-{T}(V3)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #323: mergings( V0 == V3; #318 ), references = 1, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #326: mergings( V0 == V3, V1 == V3; #319 ), references = 1, size of lhs = 3:
% 0.88/1.04 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #342: mergings( V1 == V4, V8 == V7; #339 ), references = 1, size of lhs = 13:
% 0.88/1.04 pppp12-{F}(V0), relation-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), empty-{F}(V3), P_powerset-{F}(V3,V4), P_powerset-{F}(V2,V4), empty-{F}(V5), P_empty_set-{F}(V5), P_relation_dom-{F}(V5,V5), subset-{F}(V5,V2), P_relation_rng-{F}(V5,V6), subset-{F}(V6,V1) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #345: mergings( V3 == V0; #343 ), references = 1, size of lhs = 11:
% 0.88/1.04 pppp12-{F}(V0), relation-{F}(V0), P_relation_rng-{F}(V0,V1), P_relation_dom-{F}(V0,V2), empty-{F}(V2), empty-{F}(V3), P_empty_set-{F}(V3), P_relation_dom-{F}(V3,V4), subset-{F}(V4,V2), P_relation_rng-{F}(V3,V5), subset-{F}(V5,V1) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #375: exists( #75, #373 ), references = 1, size of lhs = 8:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng-{F}(V1,V2), P_relation_dom_restriction-{F}(V1,V3,V4), P_relation_dom-{F}(V4,V5), subset-{F}(V5,V6), pppp11-{F}(V7,V6,V2,V8), P_relation_dom_restriction-{F}(V7,V8,V4) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #379: mergings( V2 == V5; #377 ), references = 1, size of lhs = 9:
% 0.88/1.04 relation-{F}(V0), P_relation_dom-{F}(V0,V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_rng-{F}(V3,V4), P_relation_dom_restriction-{F}(V0,V5,V6), P_relation_dom_restriction-{F}(V3,V7,V6), pppp11-{F}(V8,V1,V4,V9), P_relation_dom_restriction-{F}(V8,V9,V6) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #382: mergings( V3 == V5; #380 ), references = 1, size of lhs = 5:
% 0.88/1.04 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_dom-{F}(V1,V2), P_relation_rng-{F}(V1,V3), pppp11-{F}(V1,V2,V3,V4) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #385: mergings( V4 == V5; #383 ), references = 2, size of lhs = 5:
% 0.88/1.04 pppp12-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2), P_relation_rng-{F}(V0,V3) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #393: mergings( V0 == V3, V3 == V6, V5 == V1; #389 ), references = 1, size of lhs = 4:
% 0.88/1.04 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1) | pppp0-{T}(V1,V2)
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #413: mergings( V2 == V4; #411 ), references = 1, size of lhs = 3:
% 0.88/1.04 pppp12-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #415: exists( #74, #411 ), references = 1, size of lhs = 2:
% 0.88/1.04 pppp12-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #418: mergings( V0 == V2; #416 ), references = 1, size of lhs = 1:
% 0.88/1.04 P_empty_set-{F}(V0) | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 #420: exists( #72, #416 ), references = 1, size of lhs = 0:
% 0.88/1.04 FALSE | FALSE
% 0.88/1.04 (used 0 times, uses = {})
% 0.88/1.04
% 0.88/1.04 number of learnt formulas = 35
% 0.88/1.04
% 0.88/1.04
% 0.88/1.04 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.04
% 0.88/1.04 randbase = 1
%------------------------------------------------------------------------------