TSTP Solution File: SEU019+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:17:05 EDT 2022
% Result : Theorem 1.06s 1.29s
% Output : Refutation 1.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 18:43:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.06/1.29 GeoParameters:
% 1.06/1.29
% 1.06/1.29 tptp_input = 1
% 1.06/1.29 tptp_output = 0
% 1.06/1.29 nonempty = 1
% 1.06/1.29 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.29 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.06/1.29
% 1.06/1.29
% 1.06/1.29 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.29 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.29
% 1.06/1.29 RuleSystem INPUT:
% 1.06/1.29
% 1.06/1.29 Initial Rules:
% 1.06/1.29 #0: input, references = 5, size of lhs = 2:
% 1.06/1.29 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #1: input, references = 3, size of lhs = 1:
% 1.06/1.29 empty-{F}(V0) | function-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #2: input, references = 3, size of lhs = 1:
% 1.06/1.29 empty-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #3: input, references = 3, size of lhs = 3:
% 1.06/1.29 relation-{F}(V0), function-{F}(V0), one_to_one-{F}(V0) | pppp0-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #4: input, references = 4, size of lhs = 3:
% 1.06/1.29 relation-{F}(V0), function-{F}(V0), pppp0-{F}(V0) | one_to_one-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #5: input, references = 3, size of lhs = 7:
% 1.06/1.29 P_relation_dom-{F}(V0,V1), pppp0-{F}(V0), P_apply-{F}(V0,V2,V3), in-{F}(V2,V1), P_apply-{F}(V0,V4,V3), in-{F}(V4,V1), V4 == V2 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #6: input, references = 5, size of lhs = 1:
% 1.06/1.29 P_relation_dom-{F}(V0,V1) | pppp0-{T}(V0), pppp15-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #7: input, references = 6, size of lhs = 1:
% 1.06/1.29 pppp15-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V2,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #8: input, references = 4, size of lhs = 2:
% 1.06/1.29 pppp3-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V3) | EXISTS V4: pppp2-{T}(V0,V4,V1,V2,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #9: input, references = 7, size of lhs = 2:
% 1.06/1.29 pppp3-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V3) | in-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #10: input, references = 4, size of lhs = 2:
% 1.06/1.29 pppp2-{F}(V0,V2,V2,V3,V4), P_apply-{F}(V0,V2,V5) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #11: input, references = 4, size of lhs = 3:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V0,V1,V5), V5 == V4 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #12: input, references = 4, size of lhs = 2:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), P_apply-{F}(V0,V1,V5) | in-{T}(V1,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #13: input, references = 6, size of lhs = 1:
% 1.06/1.29 P_identity_relation-{F}(V0,V1) | relation-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #14: input, references = 5, size of lhs = 1:
% 1.06/1.29 #-{F} V0 | EXISTS V1: pppp4-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #15: input, references = 5, size of lhs = 1:
% 1.06/1.29 pppp4-{F}(V0,V1) | element-{T}(V1,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #16: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #17: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #18: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #19: input, references = 3, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #20: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #21: input, references = 3, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | relation-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #22: input, references = 6, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_identity_relation-{F}(V1,V2) | function-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #23: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #24: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #25: input, references = 5, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #26: input, references = 5, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #27: input, references = 3, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #28: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #29: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp5-{F}(V0) | function-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #30: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp5-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #31: input, references = 4, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #32: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp6-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #33: input, references = 5, size of lhs = 1:
% 1.06/1.29 pppp6-{F}(V0) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #34: input, references = 4, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp16-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #35: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp16-{F}(V0) | EXISTS V1: pppp7-{T}(V1,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #36: input, references = 3, size of lhs = 2:
% 1.06/1.29 pppp7-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #37: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp7-{F}(V0,V1) | element-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #38: input, references = 4, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #39: input, references = 5, size of lhs = 1:
% 1.06/1.29 pppp8-{F}(V0) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #40: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #41: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp9-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #42: input, references = 3, size of lhs = 2:
% 1.06/1.29 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #43: input, references = 4, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp10-{T}(V3,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #44: input, references = 5, size of lhs = 1:
% 1.06/1.29 pppp10-{F}(V0,V1) | empty-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #45: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #46: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #47: input, references = 3, size of lhs = 2:
% 1.06/1.29 pppp11-{F}(V0), empty-{F}(V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #48: input, references = 3, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #49: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp12-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #50: input, references = 3, size of lhs = 1:
% 1.06/1.29 pppp12-{F}(V0) | relation-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #51: input, references = 3, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #52: input, references = 4, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #53: input, references = 4, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #54: input, references = 6, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), relation-{F}(V3), function-{F}(V3), P_identity_relation-{F}(V2,V3) | pppp1-{T}(V2,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #55: input, references = 3, size of lhs = 6:
% 1.06/1.29 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_identity_relation-{F}(V2,V3), pppp1-{F}(V2,V1), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #56: input, references = 4, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp1-{F}(V1,V2), V3 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #57: input, references = 6, size of lhs = 6:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V3), pppp1-{F}(V1,V2), P_apply-{F}(V2,V4,V5), in-{F}(V4,V1), V5 == V4 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #58: input, references = 6, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V2,V1) | pppp1-{T}(V1,V2), pppp17-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #59: input, references = 4, size of lhs = 1:
% 1.06/1.29 pppp17-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #60: input, references = 3, size of lhs = 2:
% 1.06/1.29 pppp13-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V2) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #61: input, references = 6, size of lhs = 2:
% 1.06/1.29 pppp13-{F}(V0,V1,V2), P_apply-{F}(V1,V2,V3) | in-{T}(V2,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #62: input, references = 3, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #63: input, references = 3, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #64: input, references = 3, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #65: input, references = 4, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #66: input, references = 4, size of lhs = 3:
% 1.06/1.29 pppp14-{F}(V0), P_identity_relation-{F}(V0,V1), one_to_one-{F}(V1) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #67: input, references = 5, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #68: input, references = 8, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #69: input, references = 5, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #70: input, references = 8, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #71: input, references = 5, size of lhs = 1:
% 1.06/1.29 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #72: input, references = 7, size of lhs = 2:
% 1.06/1.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #73: input, references = 5, size of lhs = 1:
% 1.06/1.29 #-{F} V0 | EXISTS V1: P_identity_relation-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #74: input, references = 4, size of lhs = 0:
% 1.06/1.29 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #75: input, references = 3, size of lhs = 1:
% 1.06/1.29 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 number of initial rules = 76
% 1.06/1.29
% 1.06/1.29 Simplifiers:
% 1.06/1.29 #76: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #77: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #78: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 P_identity_relation-{F}(V0,V1), P_identity_relation-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #79: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #80: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #81: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #82: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V3,V9), V2 == V7 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #83: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V7,V8,V9), V3 == V8 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #84: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4), pppp2-{F}(V0,V6,V2,V8,V9), V4 == V9 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #85: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V2), V1 == V4 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #86: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V4,V5), V2 == V5 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #87: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp4-{F}(V0,V1), pppp4-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #88: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #89: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #90: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp7-{F}(V0,V1), pppp7-{F}(V2,V1), V0 == V2 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #91: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #92: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #93: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #94: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #95: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #96: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #97: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V5), V0 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #98: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #99: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp15-{F}(V0,V1), pppp15-{F}(V0,V3), V1 == V3 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #100: unsound, references = 3, size of lhs = 3:
% 1.06/1.29 pppp17-{F}(V0,V1), pppp17-{F}(V2,V1), V0 == V2 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 number of simplifiers = 25
% 1.06/1.29
% 1.06/1.29 Learnt:
% 1.06/1.29 #107: mergings( V0 == V2; #104 ), references = 1, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #109: mergings( V0 == V2; #105 ), references = 1, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #115: mergings( V2 == V3; #112 ), references = 1, size of lhs = 2:
% 1.06/1.29 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #117: mergings( V2 == V3; #113 ), references = 1, size of lhs = 3:
% 1.06/1.29 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #126: mergings( V0 == V3; #122 ), references = 2, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #129: mergings( V0 == V3, V2 == V3; #123 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #131: mergings( V2 == V0; #124 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), pppp11-{F}(V0), element-{F}(V1,V0) | in-{T}(V1,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #137: mergings( V0 == V3; #135 ), references = 1, size of lhs = 6:
% 1.06/1.29 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 | pppp17-{T}(V2,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #139: exists( #71, #56 ), references = 4, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), pppp1-{F}(V1,V2) | P_relation_dom-{T}(V2,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #157: mergings( V0 == V4; #154 ), references = 1, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp10-{T}(V0,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #159: mergings( V0 == V4; #155 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp10-{T}(V1,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #166: mergings( V0 == V2; #163 ), references = 1, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | pppp8-{T}(V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #168: mergings( V0 == V2; #164 ), references = 1, size of lhs = 2:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1) | pppp8-{T}(V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #201: mergings( V0 == V3; #197 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp16-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #204: mergings( V0 == V3, V1 == V3; #198 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #207: mergings( V0 == V3, V1 == V3; #199 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp16-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #232: exists( #72, #57 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp1-{F}(V2,V3), P_relation_dom-{F}(V3,V4) | P_apply-{T}(V3,V1,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #270: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #264 ), references = 1, size of lhs = 2:
% 1.06/1.29 empty-{F}(V0), P_empty_set-{F}(V1) | P_identity_relation-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #275: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #265 ), references = 1, size of lhs = 3:
% 1.06/1.29 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_identity_relation-{T}(V0,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #301: mergings( V2 == V3; #299 ), references = 2, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #305: mergings( V2 == V3; #303 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp4-{T}(V2,V0)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #311: disj( #6, #4+#66 ), references = 2, size of lhs = 5:
% 1.06/1.29 relation-{F}(V0), function-{F}(V0), P_relation_dom-{F}(V0,V1), pppp14-{F}(V2), P_identity_relation-{F}(V2,V0) | pppp15-{T}(V0,V1)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #349: exists( #72, #345 ), references = 1, size of lhs = 2:
% 1.06/1.29 in-{F}(V0,V1), pppp3-{F}(V2,V1,V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #350: exists( #72, #346 ), references = 4, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp1-{F}(V3,V1), pppp3-{F}(V1,V4,V3) | P_apply-{T}(V1,V4,V4)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #359: mergings( V3 == V4; #356 ), references = 1, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V1,V2), pppp15-{F}(V2,V1), P_relation_dom-{F}(V2,V3) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #363: mergings( V1 == V4, V2 == V3; #360 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V1,V2), P_relation_dom-{F}(V2,V1) | pppp0-{T}(V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #376: mergings( V2 == V4, V0 == V3; #373 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp15-{F}(V2,V1), P_relation_dom-{F}(V2,V1) | pppp17-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #395: mergings( V3 == V4, V4 == V5; #392 ), references = 1, size of lhs = 6:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V2,V3), pppp15-{F}(V3,V2), P_relation_dom-{F}(V3,V4) | pppp3-{T}(V3,V0,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #427: exists( #72, #421 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp13-{F}(V1,V2,V3) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #429: mergings( V6 == V3; #425 ), references = 1, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp13-{F}(V0,V3,V4) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #430: exists( #72, #423 ), references = 1, size of lhs = 2:
% 1.06/1.29 in-{F}(V0,V1), pppp13-{F}(V0,V2,V1) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #433: exists( #59, #424 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), pppp17-{F}(V1,V2) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #435: mergings( V0 == V3; #432 ), references = 1, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), pppp17-{F}(V0,V3) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #439: mergings( V0 == V3; #436 ), references = 1, size of lhs = 3:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V1) | pppp1-{T}(V1,V2)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #442: mergings( V0 == V3, V2 == V3; #437 ), references = 1, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V0,V2), P_relation_dom-{F}(V3,V0) | pppp1-{T}(V0,V3)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #494: exists( #72, #11 ), references = 2, size of lhs = 1:
% 1.06/1.29 pppp2-{F}(V0,V1,V2,V3,V4) | P_apply-{T}(V0,V1,V4)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #498: exists( #8, #496 ), references = 2, size of lhs = 5:
% 1.06/1.29 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp3-{F}(V2,V3,V1), P_apply-{F}(V2,V3,V4), P_relation_dom-{F}(V2,V5) | pppp2-{T}(V2,V4,V3,V1,V4)
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #505: mergings( V5 == V6, V3 == V4; #502 ), references = 1, size of lhs = 4:
% 1.06/1.29 P_empty_set-{F}(V0), pppp15-{F}(V1,V2), pppp1-{F}(V2,V1), P_relation_dom-{F}(V1,V3) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #516: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #511 ), references = 1, size of lhs = 2:
% 1.06/1.29 pppp14-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #523: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #517 ), references = 1, size of lhs = 1:
% 1.06/1.29 P_empty_set-{F}(V0) | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 #525: exists( #74, #517 ), references = 1, size of lhs = 0:
% 1.06/1.29 FALSE | FALSE
% 1.06/1.29 (used 0 times, uses = {})
% 1.06/1.29
% 1.06/1.29 number of learnt formulas = 41
% 1.06/1.29
% 1.06/1.29
% 1.06/1.29 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.06/1.29
% 1.06/1.29 randbase = 1
%------------------------------------------------------------------------------