TSTP Solution File: SEU217+3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 06:17:30 EDT 2022
% Result : Theorem 1.07s 1.30s
% Output : Refutation 1.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.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 19:13:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.07/1.30 GeoParameters:
% 1.07/1.30
% 1.07/1.30 tptp_input = 1
% 1.07/1.30 tptp_output = 0
% 1.07/1.30 nonempty = 1
% 1.07/1.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 RuleSystem INPUT:
% 1.07/1.30
% 1.07/1.30 Initial Rules:
% 1.07/1.30 #0: input, references = 3, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | subset-{T}(V0,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #1: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #2: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #3: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #4: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #5: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #6: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #7: input, references = 5, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp1-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #8: input, references = 5, size of lhs = 1:
% 1.07/1.30 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #9: input, references = 3, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #10: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #11: input, references = 5, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #12: input, references = 5, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #13: input, references = 3, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #14: input, references = 3, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #15: input, references = 5, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #16: input, references = 4, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #17: input, references = 6, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #18: input, references = 3, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #19: input, references = 3, size of lhs = 5:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #20: input, references = 9, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #21: input, references = 9, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #22: input, references = 3, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #23: input, references = 6, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #24: input, references = 3, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #25: input, references = 6, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #26: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #27: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp2-{F}(V0) | function-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #28: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp2-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #29: input, references = 4, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #30: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp13-{F}(V0) | EXISTS V1: pppp3-{T}(V1,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #31: input, references = 3, size of lhs = 2:
% 1.07/1.30 pppp3-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #32: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp3-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #33: input, references = 4, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp4-{T}(V3,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #34: input, references = 5, size of lhs = 1:
% 1.07/1.30 pppp4-{F}(V0,V1) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #35: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #36: input, references = 4, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #37: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp5-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #38: input, references = 5, size of lhs = 1:
% 1.07/1.30 pppp5-{F}(V0) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #39: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #40: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp6-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #41: input, references = 3, size of lhs = 2:
% 1.07/1.30 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #42: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #43: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp7-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #44: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp7-{F}(V0) | relation-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #45: input, references = 4, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #46: input, references = 5, size of lhs = 1:
% 1.07/1.30 pppp8-{F}(V0) | empty-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #47: input, references = 3, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #48: input, references = 3, size of lhs = 2:
% 1.07/1.30 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #49: input, references = 3, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #50: input, references = 3, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #51: input, references = 4, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #52: input, references = 4, size of lhs = 1:
% 1.07/1.30 pppp11-{F}(V0) | EXISTS V1: pppp10-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #53: input, references = 4, size of lhs = 3:
% 1.07/1.30 pppp10-{F}(V0,V1), P_identity_relation-{F}(V0,V2), P_apply-{F}(V2,V1,V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #54: input, references = 4, size of lhs = 3:
% 1.07/1.30 pppp10-{F}(V0,V1), P_identity_relation-{F}(V0,V2), P_apply-{F}(V2,V1,V3) | in-{T}(V1,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #55: input, references = 6, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), relation-{F}(V3), function-{F}(V3), P_identity_relation-{F}(V2,V3) | pppp0-{T}(V2,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #56: input, references = 3, size of lhs = 6:
% 1.07/1.30 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_identity_relation-{F}(V2,V3), pppp0-{F}(V2,V1), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #57: input, references = 4, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), V3 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #58: input, references = 5, size of lhs = 6:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp0-{F}(V1,V2), P_apply-{F}(V2,V4,V5), in-{F}(V4,V1), V5 == V4 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #59: input, references = 4, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V1) | pppp0-{T}(V1,V2), pppp14-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #60: input, references = 3, size of lhs = 1:
% 1.07/1.30 pppp14-{F}(V0,V1) | EXISTS V2: pppp12-{T}(V0,V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #61: input, references = 3, size of lhs = 2:
% 1.07/1.30 pppp12-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V2) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #62: input, references = 3, size of lhs = 2:
% 1.07/1.30 pppp12-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V3) | in-{T}(V2,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #63: input, references = 4, size of lhs = 0:
% 1.07/1.30 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #64: input, references = 4, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #65: input, references = 5, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #66: input, references = 5, size of lhs = 1:
% 1.07/1.30 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #67: input, references = 5, size of lhs = 2:
% 1.07/1.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of initial rules = 68
% 1.07/1.30
% 1.07/1.30 Simplifiers:
% 1.07/1.30 #68: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #69: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #70: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #71: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #72: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #73: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #74: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #75: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp3-{F}(V0,V1), pppp3-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #76: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #77: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #78: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #79: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #80: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #81: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #82: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp10-{F}(V0,V1), pppp10-{F}(V0,V3), V1 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #83: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp10-{F}(V0,V1), pppp10-{F}(V2,V3), V0 == V2 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #84: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #85: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp12-{F}(V0,V1,V2), pppp12-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #86: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp12-{F}(V0,V1,V2), pppp12-{F}(V3,V1,V5), V0 == V3 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #87: unsound, references = 3, size of lhs = 3:
% 1.07/1.30 pppp14-{F}(V0,V1), pppp14-{F}(V2,V1), V0 == V2 | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of simplifiers = 20
% 1.07/1.30
% 1.07/1.30 Learnt:
% 1.07/1.30 #96: mergings( V0 == V2; #93 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #98: mergings( V0 == V2; #94 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #105: mergings( V0 == V2; #102 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #107: mergings( V0 == V2; #103 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #113: exists( #65, #57 ), references = 4, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #139: mergings( V2 == V3; #136 ), references = 1, size of lhs = 2:
% 1.07/1.30 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #141: mergings( V2 == V3; #137 ), references = 1, size of lhs = 3:
% 1.07/1.30 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #144: mergings( V0 == V3; #142 ), references = 1, size of lhs = 6:
% 1.07/1.30 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_dom-{F}(V1,V2), P_identity_relation-{F}(V2,V3), V1 == V3 | pppp14-{T}(V2,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #147: mergings( V0 == V3; #145 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #160: mergings( V2 == V3, V3 == V4, V4 == V7; #154 ), references = 1, size of lhs = 7:
% 1.07/1.30 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
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #164: mergings( V2 == V3, V3 == V4, V4 == V7; #155 ), references = 2, size of lhs = 7:
% 1.07/1.30 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
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #169: mergings( V2 == V3, V3 == V4, V4 == V7, V10 == V7; #156 ), references = 1, size of lhs = 8:
% 1.07/1.30 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
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #189: mergings( V0 == V3; #185 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #191: mergings( V0 == V3; #186 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #194: mergings( V0 == V3, V2 == V3; #187 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #213: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #206 ), references = 1, size of lhs = 2:
% 1.07/1.30 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #219: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #207 ), references = 1, size of lhs = 3:
% 1.07/1.30 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #237: mergings( V0 == V5; #235 ), references = 2, size of lhs = 6:
% 1.07/1.30 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
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #245: mergings( V0 == V3, V3 == V6, V5 == V1; #241 ), references = 1, size of lhs = 4:
% 1.07/1.30 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), P_powerset-{F}(V3,V1) | pppp1-{T}(V1,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #257: mergings( V0 == V3; #253 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #260: mergings( V0 == V3, V1 == V3; #254 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #265: mergings( V0 == V4, V2 == V3, V1 == V4, V5 == V4; #255 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), subset-{F}(V2,V0), V2 == V0 | pppp13-{T}(V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #283: mergings( V0 == V4; #280 ), references = 1, size of lhs = 2:
% 1.07/1.30 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp4-{T}(V0,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #285: mergings( V0 == V4; #281 ), references = 1, size of lhs = 3:
% 1.07/1.30 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp4-{T}(V1,V3)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #321: exists( #67, #58 ), references = 1, size of lhs = 4:
% 1.07/1.30 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp0-{F}(V2,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V1,V1)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #396: exists( #67, #394 ), references = 1, size of lhs = 5:
% 1.07/1.30 P_empty_set-{F}(V0), pppp10-{F}(V1,V2), P_identity_relation-{F}(V1,V3), pppp0-{F}(V1,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V2,V2)
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #399: exists( #52, #397 ), references = 1, size of lhs = 5:
% 1.07/1.30 pppp11-{F}(V0), P_empty_set-{F}(V1), pppp0-{F}(V0,V2), P_identity_relation-{F}(V0,V2), P_relation_dom-{F}(V2,V3) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #409: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #404 ), references = 1, size of lhs = 2:
% 1.07/1.30 pppp11-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #416: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #410 ), references = 1, size of lhs = 1:
% 1.07/1.30 P_empty_set-{F}(V0) | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 #418: exists( #63, #410 ), references = 1, size of lhs = 0:
% 1.07/1.30 FALSE | FALSE
% 1.07/1.30 (used 0 times, uses = {})
% 1.07/1.30
% 1.07/1.30 number of learnt formulas = 30
% 1.07/1.30
% 1.07/1.30
% 1.07/1.30 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.07/1.30
% 1.07/1.30 randbase = 1
%------------------------------------------------------------------------------