TSTP Solution File: SET994+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:17:03 EDT 2022
% Result : Theorem 0.71s 0.91s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 : Sat Jul 23 01:51:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/0.91 GeoParameters:
% 0.71/0.91
% 0.71/0.91 tptp_input = 1
% 0.71/0.91 tptp_output = 0
% 0.71/0.91 nonempty = 1
% 0.71/0.91 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.91 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.71/0.91
% 0.71/0.91
% 0.71/0.91 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.91
% 0.71/0.91 RuleSystem INPUT:
% 0.71/0.91
% 0.71/0.91 Initial Rules:
% 0.71/0.91 #0: input, references = 3, size of lhs = 2:
% 0.71/0.91 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #1: input, references = 3, size of lhs = 1:
% 0.71/0.91 empty-{F}(V0) | function-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #2: input, references = 3, size of lhs = 1:
% 0.71/0.91 empty-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #3: input, references = 4, size of lhs = 1:
% 0.71/0.91 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #4: input, references = 4, size of lhs = 1:
% 0.71/0.91 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #5: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #6: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #7: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #8: input, references = 3, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #9: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #10: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #11: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #12: input, references = 7, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #13: input, references = 5, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #14: input, references = 3, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #15: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #16: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp1-{F}(V0) | function-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #17: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp1-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #18: input, references = 4, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #19: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp2-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #20: input, references = 5, size of lhs = 1:
% 0.71/0.91 pppp2-{F}(V0) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #21: input, references = 4, size of lhs = 2:
% 0.71/0.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp12-{T}(V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #22: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp12-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #23: input, references = 3, size of lhs = 2:
% 0.71/0.91 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #24: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #25: input, references = 4, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp4-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #26: input, references = 5, size of lhs = 1:
% 0.71/0.91 pppp4-{F}(V0) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #27: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #28: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp5-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #29: input, references = 3, size of lhs = 2:
% 0.71/0.91 pppp5-{F}(V0), empty-{F}(V0) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #30: input, references = 4, size of lhs = 2:
% 0.71/0.91 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp6-{T}(V3,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #31: input, references = 5, size of lhs = 1:
% 0.71/0.91 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #32: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #33: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #34: input, references = 3, size of lhs = 2:
% 0.71/0.91 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #35: input, references = 3, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #36: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #37: input, references = 3, size of lhs = 1:
% 0.71/0.91 pppp8-{F}(V0) | relation-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #38: input, references = 3, size of lhs = 2:
% 0.71/0.91 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #39: input, references = 5, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), #-{F} V2 | EXISTS V3: pppp9-{T}(V2,V3,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #40: input, references = 5, size of lhs = 5:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3), P_apply-{F}(V1,V4,V5), in-{F}(V4,V0), V5 == V2 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #41: input, references = 4, size of lhs = 3:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3), V3 == V0 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #42: input, references = 4, size of lhs = 2:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3) | function-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #43: input, references = 6, size of lhs = 2:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3) | relation-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #44: input, references = 5, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), #-{F} V3 | EXISTS V4: pppp10-{T}(V3,V4,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #45: input, references = 4, size of lhs = 5:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3), P_apply-{F}(V1,V4,V5), in-{F}(V4,V0), V5 == V2 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #46: input, references = 4, size of lhs = 3:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3), V3 == V0 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #47: input, references = 4, size of lhs = 2:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3) | function-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #48: input, references = 6, size of lhs = 2:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), P_relation_dom-{F}(V1,V3) | relation-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #49: input, references = 4, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2) | empty-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #50: input, references = 4, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V2) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #51: input, references = 4, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2) | EXISTS V3: pppp11-{T}(V3,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #52: input, references = 4, size of lhs = 1:
% 0.71/0.91 pppp11-{F}(V1,V1) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #53: input, references = 4, size of lhs = 8:
% 0.71/0.91 pppp11-{F}(V0,V1), P_relation_dom-{F}(V2,V0), relation-{F}(V2), function-{F}(V2), P_relation_dom-{F}(V4,V0), relation-{F}(V4), function-{F}(V4), V2 == V4 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #54: input, references = 3, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), in-{F}(V3,V4) | element-{T}(V3,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #55: input, references = 4, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), element-{F}(V4,V3) | empty-{T}(V3), in-{T}(V4,V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #56: input, references = 3, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V4,V5), element-{F}(V3,V5) | subset-{T}(V3,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #57: input, references = 3, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V4,V5), subset-{F}(V3,V4) | element-{T}(V3,V5)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #58: input, references = 3, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V4,V5), element-{F}(V3,V5), in-{F}(V6,V3) | element-{T}(V6,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #59: input, references = 3, size of lhs = 7:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V3,V4), empty-{F}(V3), element-{F}(V5,V4), in-{F}(V6,V5) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #60: input, references = 9, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), V3 == V0 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #61: input, references = 3, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), in-{F}(V4,V3) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #62: input, references = 9, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), empty-{F}(V4), V4 == V3 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #63: input, references = 4, size of lhs = 0:
% 0.71/0.91 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #64: input, references = 3, size of lhs = 1:
% 0.71/0.91 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #65: input, references = 6, size of lhs = 1:
% 0.71/0.91 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #66: input, references = 5, size of lhs = 2:
% 0.71/0.91 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #67: input, references = 4, size of lhs = 0:
% 0.71/0.91 FALSE | EXISTS V0: P_n0-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #68: input, references = 4, size of lhs = 0:
% 0.71/0.91 FALSE | EXISTS V0: P_n1-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 number of initial rules = 69
% 0.71/0.91
% 0.71/0.91 Simplifiers:
% 0.71/0.91 #69: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #70: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #71: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #72: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #73: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #74: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #75: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #76: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #77: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #78: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #79: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp4-{F}(V0), pppp4-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #80: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #81: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #82: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #83: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #84: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), pppp9-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #85: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp9-{F}(V0,V1,V2), pppp9-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #86: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V4,V2), V1 == V4 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #87: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp10-{F}(V0,V1,V2), pppp10-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #88: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #89: unsound, references = 3, size of lhs = 3:
% 0.71/0.91 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V1 == V3 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 number of simplifiers = 21
% 0.71/0.91
% 0.71/0.91 Learnt:
% 0.71/0.91 #96: mergings( V0 == V2; #93 ), references = 1, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2) | pppp2-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #98: mergings( V0 == V2; #94 ), references = 1, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3) | pppp2-{T}(V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #105: mergings( V0 == V2; #102 ), references = 1, size of lhs = 3:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2) | pppp4-{T}(V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #107: mergings( V0 == V2; #103 ), references = 1, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3) | pppp4-{T}(V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #114: mergings( V2 == V3; #111 ), references = 1, size of lhs = 4:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3) | P_relation_dom-{T}(V0,V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #116: mergings( V2 == V3; #112 ), references = 1, size of lhs = 5:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), empty-{F}(V4) | P_relation_dom-{T}(V0,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #136: exists( #65, #46 ), references = 4, size of lhs = 1:
% 0.71/0.91 pppp10-{F}(V0,V1,V2) | P_relation_dom-{T}(V1,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #141: mergings( V0 == V3; #137 ), references = 1, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V2,V3) | pppp12-{T}(V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #143: mergings( V0 == V3; #138 ), references = 1, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V3,V4), V3 == V0 | pppp12-{T}(V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #146: mergings( V0 == V3, V1 == V3; #139 ), references = 1, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), V0 == V3, P_powerset-{F}(V0,V4) | pppp12-{T}(V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #149: exists( #65, #41 ), references = 4, size of lhs = 1:
% 0.71/0.91 pppp9-{F}(V0,V1,V2) | P_relation_dom-{T}(V1,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #162: mergings( V0 == V5, V5 == V6, V1 == V7, V2 == V8; #156 ), references = 1, size of lhs = 4:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3) | pppp10-{T}(V0,V1,V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #167: mergings( V0 == V5, V5 == V6, V1 == V7, V2 == V8; #157 ), references = 1, size of lhs = 5:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), empty-{F}(V4) | pppp10-{T}(V0,V4,V3)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #191: mergings( V0 == V4, V4 == V5, V1 == V6; #186 ), references = 1, size of lhs = 4:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3) | pppp9-{T}(V0,V1,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #195: mergings( V0 == V4, V4 == V5, V1 == V6; #187 ), references = 1, size of lhs = 5:
% 0.71/0.91 empty-{F}(V0), P_empty_set-{F}(V1), P_n0-{F}(V2), P_n1-{F}(V3), empty-{F}(V4) | pppp9-{T}(V0,V4,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #206: mergings( V0 == V5; #202 ), references = 1, size of lhs = 5:
% 0.71/0.91 P_n0-{F}(V0), P_n1-{F}(V1), P_empty_set-{F}(V2), element-{F}(V3,V4), P_powerset-{F}(V5,V4) | in-{T}(V3,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #210: mergings( V0 == V5, V1 == V6, V2 == V7; #203 ), references = 2, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), element-{F}(V3,V4), V4 == V0 | in-{T}(V3,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #215: mergings( V0 == V5, V1 == V6, V2 == V7, V4 == V5; #204 ), references = 1, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), V0 == V3, element-{F}(V4,V0) | in-{T}(V4,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #224: exists( #66, #45 ), references = 2, size of lhs = 3:
% 0.71/0.91 P_relation_dom-{F}(V0,V1), in-{F}(V2,V3), pppp10-{F}(V3,V0,V4) | P_apply-{T}(V0,V2,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #234: mergings( V0 == V4; #231 ), references = 1, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), P_powerset-{F}(V3,V4) | pppp6-{T}(V0,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #236: mergings( V0 == V4; #232 ), references = 1, size of lhs = 5:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), empty-{F}(V3), P_powerset-{F}(V4,V5) | pppp6-{T}(V3,V5)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #251: exists( #44, #249 ), references = 1, size of lhs = 7:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), relation-{F}(V3), function-{F}(V3), P_relation_dom-{F}(V3,V4), pppp11-{F}(V4,V5) | pppp10-{T}(V4,V3,V2)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #260: mergings( V0 == V4, V1 == V5; #257 ), references = 2, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), V2 == V1, in-{F}(V3,V4), pppp11-{F}(V4,V5) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #276: exists( #66, #40 ), references = 1, size of lhs = 3:
% 0.71/0.91 P_relation_dom-{F}(V0,V1), in-{F}(V2,V3), pppp9-{F}(V3,V0,V4) | P_apply-{T}(V0,V2,V4)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #293: mergings( V2 == V5, V3 == V6, V4 == V7; #289 ), references = 1, size of lhs = 6:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), V2 == V1, pppp11-{F}(V3,V4), V3 == V0 | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #301: mergings( V0 == V4, V4 == V7, V1 == V5, V5 == V8, V2 == V6, V6 == V9; #294 ), references = 1, size of lhs = 4:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1), P_n1-{F}(V2), V2 == V1 | pppp11-{T}(V0,V0)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #307: mergings( V2 == V4, V1 == V3, V3 == V5; #303 ), references = 2, size of lhs = 2:
% 0.71/0.91 P_empty_set-{F}(V0), P_n0-{F}(V1) | P_n1-{T}(V1)
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #320: mergings( V1 == V2, V2 == V3; #315 ), references = 1, size of lhs = 1:
% 0.71/0.91 P_empty_set-{F}(V0) | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 #322: exists( #63, #315 ), references = 1, size of lhs = 0:
% 0.71/0.91 FALSE | FALSE
% 0.71/0.91 (used 0 times, uses = {})
% 0.71/0.91
% 0.71/0.91 number of learnt formulas = 29
% 0.71/0.91
% 0.71/0.91
% 0.71/0.91 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.91
% 0.71/0.91 randbase = 1
%------------------------------------------------------------------------------