%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET991+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 1.38s 1.56s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET991+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 02:46:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.38/1.56 GeoParameters:
% 1.38/1.56
% 1.38/1.56 tptp_input = 1
% 1.38/1.56 tptp_output = 0
% 1.38/1.56 nonempty = 1
% 1.38/1.56 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.38/1.56
% 1.38/1.56
% 1.38/1.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56
% 1.38/1.56 RuleSystem INPUT:
% 1.38/1.56
% 1.38/1.56 Initial Rules:
% 1.38/1.56 #0: input, references = 3, size of lhs = 1:
% 1.38/1.56 #-{F} V0 | subset-{T}(V0,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #1: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #2: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #3: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #4: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #5: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #6: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #7: input, references = 5, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp2-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #8: input, references = 5, size of lhs = 1:
% 1.38/1.56 pppp2-{F}(V0,V1) | element-{T}(V1,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #9: input, references = 3, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #10: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #11: input, references = 3, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #12: input, references = 3, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #13: input, references = 5, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #14: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #15: input, references = 5, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #16: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #17: input, references = 3, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #18: input, references = 4, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #19: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #20: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #21: input, references = 3, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #22: input, references = 7, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #23: input, references = 8, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #24: input, references = 7, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #25: input, references = 7, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), in-{F}(V1,V2), in-{F}(V2,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #26: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #27: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp3-{F}(V0) | function-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #28: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp3-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #29: input, references = 4, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #30: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #31: input, references = 3, size of lhs = 2:
% 1.38/1.56 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #32: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #33: input, references = 4, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #34: input, references = 4, size of lhs = 1:
% 1.38/1.56 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #35: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #36: input, references = 4, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #37: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp6-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #38: input, references = 5, size of lhs = 1:
% 1.38/1.56 pppp6-{F}(V0) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #39: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #40: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp7-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #41: input, references = 3, size of lhs = 2:
% 1.38/1.56 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #42: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #43: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #44: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp8-{F}(V0) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #45: input, references = 4, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #46: input, references = 5, size of lhs = 1:
% 1.38/1.56 pppp9-{F}(V0) | empty-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #47: input, references = 3, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #48: input, references = 3, size of lhs = 2:
% 1.38/1.56 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #49: input, references = 6, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #50: input, references = 6, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #51: input, references = 4, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #52: input, references = 6, size of lhs = 3:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | EXISTS V3: pppp11-{T}(V3,V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #53: input, references = 4, size of lhs = 3:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | function-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #54: input, references = 4, size of lhs = 3:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2) | relation-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #55: input, references = 4, size of lhs = 3:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), P_apply-{F}(V1,V0,V4), in-{F}(V4,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #56: input, references = 9, size of lhs = 2:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), P_apply-{F}(V1,V0,V4) | in-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #57: input, references = 4, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), function-{F}(V1) | pppp1-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #58: input, references = 3, size of lhs = 6:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), pppp1-{F}(V1,V3), V3 == V2 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #59: input, references = 4, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V3,V2) | pppp0-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #60: input, references = 12, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), pppp0-{F}(V1,V3) | in-{T}(V3,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #61: input, references = 9, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp1-{T}(V1,V2), pppp16-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #62: input, references = 3, size of lhs = 1:
% 1.38/1.56 pppp16-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #63: input, references = 3, size of lhs = 3:
% 1.38/1.56 pppp13-{F}(V0,V1,V2), pppp0-{F}(V0,V2), in-{F}(V2,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #64: input, references = 4, size of lhs = 1:
% 1.38/1.56 pppp13-{F}(V0,V1,V2) | in-{T}(V2,V1), pppp0-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #65: input, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V3), pppp0-{F}(V1,V2) | EXISTS V4: pppp14-{T}(V1,V2,V4,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #66: input, references = 7, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V3), P_apply-{F}(V1,V4,V5), in-{F}(V4,V3) | pppp0-{T}(V1,V5)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #67: input, references = 4, size of lhs = 3:
% 1.38/1.56 pppp14-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4), V1 == V4 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #68: input, references = 3, size of lhs = 2:
% 1.38/1.56 pppp14-{F}(V0,V1,V2,V3), P_apply-{F}(V0,V2,V4) | in-{T}(V2,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #69: input, references = 4, size of lhs = 0:
% 1.38/1.56 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #70: input, references = 3, size of lhs = 1:
% 1.38/1.56 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #71: input, references = 5, size of lhs = 1:
% 1.38/1.56 #-{F} V0 | EXISTS V1: P_relation_dom-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #72: input, references = 5, size of lhs = 1:
% 1.38/1.56 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #73: input, references = 10, size of lhs = 2:
% 1.38/1.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_apply-{T}(V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of initial rules = 74
% 1.38/1.56
% 1.38/1.56 Simplifiers:
% 1.38/1.56 #74: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #75: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #76: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_relation_dom-{F}(V0,V1), P_relation_dom-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #77: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #78: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 P_apply-{F}(V0,V1,V2), P_apply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #79: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp2-{F}(V0,V1), pppp2-{F}(V0,V3), V1 == V3 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #80: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #81: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #82: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #83: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #84: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #85: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #86: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #87: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #88: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V2,V3), V0 == V4 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #89: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #90: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V6,V7), V2 == V6 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #91: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V1,V6,V7), V3 == V7 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #92: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp12-{F}(V0), pppp12-{F}(V1), V0 == V1 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #93: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp13-{F}(V0,V1,V2), pppp13-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #94: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #95: unsound, references = 3, size of lhs = 3:
% 1.38/1.56 pppp14-{F}(V0,V1,V2,V3), pppp14-{F}(V0,V5,V6,V7), V3 == V7 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of simplifiers = 22
% 1.38/1.56
% 1.38/1.56 Learnt:
% 1.38/1.56 #102: mergings( V0 == V2; #99 ), references = 1, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #104: mergings( V0 == V2; #100 ), references = 1, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #114: mergings( V0 == V2; #111 ), references = 1, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #116: mergings( V0 == V2; #112 ), references = 1, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #133: mergings( V2 == V3; #130 ), references = 1, size of lhs = 2:
% 1.38/1.56 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_dom-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #135: mergings( V2 == V3; #131 ), references = 1, size of lhs = 3:
% 1.38/1.56 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_dom-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #142: mergings( V2 == V3; #139 ), references = 1, size of lhs = 2:
% 1.38/1.56 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #144: mergings( V2 == V3; #140 ), references = 1, size of lhs = 3:
% 1.38/1.56 empty-{F}(V0), P_empty_set-{F}(V1), empty-{F}(V2) | P_relation_rng-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #159: mergings( V0 == V3; #155 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #161: mergings( V0 == V3; #156 ), references = 2, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #164: mergings( V0 == V3, V2 == V3; #157 ), references = 1, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #170: mergings( V0 == V3, V3 == V4; #167 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), pppp0-{F}(V1,V2), in-{F}(V3,V2) | pppp16-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #182: mergings( V0 == V3; #178 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #185: mergings( V0 == V3, V1 == V3; #179 ), references = 1, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #187: mergings( V1 == V0; #180 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp15-{T}(V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #200: mergings( V0 == V3, V3 == V4; #196 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), pppp0-{F}(V2,V3) | pppp16-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #203: mergings( V0 == V3, V3 == V4; #197 ), references = 1, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp0-{F}(V4,V5) | pppp16-{T}(V4,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #206: mergings( V0 == V3; #204 ), references = 1, size of lhs = 6:
% 1.38/1.56 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng-{F}(V1,V2), #-{F} V3, V3 == V2 | pppp16-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #226: mergings( V0 == V4; #224 ), references = 1, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #245: mergings( V3 == V4, V4 == V5; #241 ), references = 2, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #248: mergings( V3 == V4, V4 == V5; #242 ), references = 1, size of lhs = 7:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), pppp1-{F}(V4,V3), P_relation_dom-{F}(V4,V5), in-{F}(V6,V5) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #254: mergings( V0 == V3, V3 == V4, V4 == V5; #249 ), references = 1, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_relation_dom-{F}(V2,V3), in-{F}(V4,V3) | pppp16-{T}(V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #258: mergings( V0 == V3, V3 == V4, V4 == V5; #250 ), references = 1, size of lhs = 6:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), P_relation_dom-{F}(V4,V5), in-{F}(V6,V5) | pppp16-{T}(V4,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #267: exists( #73, #67 ), references = 1, size of lhs = 1:
% 1.38/1.56 pppp14-{F}(V0,V1,V2,V3) | P_apply-{T}(V0,V2,V1)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #281: disj( #64, input ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp13-{F}(V3,V1,V2) | pppp0-{T}(V3,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #294: mergings( V0 == V3, V3 == V4; #291 ), references = 1, size of lhs = 2:
% 1.38/1.56 P_empty_set-{F}(V0), pppp0-{F}(V1,V2) | pppp16-{T}(V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #316: mergings( V0 == V3, V3 == V4, V4 == V5; #312 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), pppp1-{F}(V1,V2), in-{F}(V2,V3) | pppp16-{T}(V1,V3)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #324: exists( #73, #319 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), pppp11-{F}(V2,V3,V1,V4) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #325: exists( #73, #320 ), references = 1, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), pppp1-{F}(V2,V1), P_relation_dom-{F}(V2,V3), pppp11-{F}(V4,V5,V3,V6) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #326: exists( #73, #318 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), in-{F}(V1,V2), pppp11-{F}(V2,V3,V1,V4) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #329: exists( #52, #322 ), references = 1, size of lhs = 5:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), empty-{F}(V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #330: exists( #52, #323 ), references = 1, size of lhs = 7:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4), pppp1-{F}(V5,V4), P_relation_dom-{F}(V5,V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #364: mergings( V0 == V3, V3 == V4; #361 ), references = 3, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #370: mergings( V0 == V3, V3 == V4, V4 == V5; #366 ), references = 1, size of lhs = 3:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp2-{T}(V2,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #408: mergings( V3 == V4; #405 ), references = 1, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), in-{F}(V3,V4), pppp11-{F}(V4,V5,V2,V6) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #410: mergings( V3 == V4; #406 ), references = 1, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp11-{F}(V3,V4,V2,V5), V3 == V0 | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #413: mergings( V4 == V5; #411 ), references = 1, size of lhs = 6:
% 1.38/1.56 pppp12-{F}(V0), P_relation_dom-{F}(V0,V1), P_relation_rng-{F}(V0,V2), P_empty_set-{F}(V3), empty-{F}(V4), P_powerset-{F}(V4,V1) | pppp11-{T}(V3,V0,V1,V2)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #420: mergings( V3 == V4; #418 ), references = 2, size of lhs = 5:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), in-{F}(V3,V2), pppp1-{F}(V1,V4), pppp11-{F}(V3,V1,V5,V4) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #446: mergings( V3 == V4, V4 == V5, V5 == V6; #442 ), references = 1, size of lhs = 6:
% 1.38/1.56 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), pppp1-{F}(V3,V2), P_relation_dom-{F}(V3,V4), in-{F}(V5,V4) | P_apply-{T}(V3,V5,V0)
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #477: mergings( V4 == V0, V7 == V5, V6 == V8; #473 ), references = 1, size of lhs = 4:
% 1.38/1.56 P_empty_set-{F}(V0), P_relation_dom-{F}(V1,V2), pppp1-{F}(V1,V3), pppp11-{F}(V4,V1,V2,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #479: exists( #52, #473 ), references = 2, size of lhs = 5:
% 1.38/1.56 pppp12-{F}(V0), P_relation_rng-{F}(V0,V1), pppp1-{F}(V0,V1), P_empty_set-{F}(V2), P_relation_dom-{F}(V0,V3) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #500: mergings( V2 == V5, V3 == V4, V4 == V6; #496 ), references = 1, size of lhs = 3:
% 1.38/1.56 pppp12-{F}(V0), P_empty_set-{F}(V1), P_relation_dom-{F}(V0,V2) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #503: mergings( V2 == V3; #501 ), references = 1, size of lhs = 2:
% 1.38/1.56 pppp12-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #507: mergings( V0 == V2, V2 == V3; #504 ), references = 1, size of lhs = 1:
% 1.38/1.56 P_empty_set-{F}(V0) | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 #509: exists( #69, #504 ), references = 1, size of lhs = 0:
% 1.38/1.56 FALSE | FALSE
% 1.38/1.56 (used 0 times, uses = {})
% 1.38/1.56
% 1.38/1.56 number of learnt formulas = 45
% 1.38/1.56
% 1.38/1.56
% 1.38/1.56 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56
% 1.38/1.56 randbase = 1
%------------------------------------------------------------------------------