TSTP Solution File: SEU080+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:17:09 EDT 2022
% Result : Theorem 2.07s 2.26s
% Output : Refutation 2.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU080+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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
% 0.12/0.34 % DateTime : Fri Jul 22 19:40:30 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.07/2.26 GeoParameters:
% 2.07/2.26
% 2.07/2.26 tptp_input = 1
% 2.07/2.26 tptp_output = 0
% 2.07/2.26 nonempty = 1
% 2.07/2.26 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/2.26 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.07/2.26
% 2.07/2.26
% 2.07/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/2.26
% 2.07/2.26 RuleSystem INPUT:
% 2.07/2.26
% 2.07/2.26 Initial Rules:
% 2.07/2.26 #0: input, references = 4, size of lhs = 2:
% 2.07/2.26 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #1: input, references = 3, size of lhs = 1:
% 2.07/2.26 empty-{F}(V0) | function-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #2: input, references = 3, size of lhs = 1:
% 2.07/2.26 empty-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #3: input, references = 3, size of lhs = 3:
% 2.07/2.26 relation-{F}(V0), empty-{F}(V0), function-{F}(V0) | one_to_one-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #4: input, references = 3, size of lhs = 1:
% 2.07/2.26 #-{F} V1 | pppp0-{T}(V1,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #5: input, references = 5, size of lhs = 2:
% 2.07/2.26 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #6: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #7: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #8: input, references = 5, size of lhs = 2:
% 2.07/2.26 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #9: input, references = 5, size of lhs = 1:
% 2.07/2.26 #-{F} V0 | EXISTS V1: pppp1-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #10: input, references = 5, size of lhs = 1:
% 2.07/2.26 pppp1-{F}(V0,V1) | element-{T}(V1,V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #11: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #12: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #13: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #14: input, references = 3, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #15: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #16: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #17: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #18: input, references = 3, size of lhs = 4:
% 2.07/2.26 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), empty-{F}(V2) | empty-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #19: input, references = 4, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | empty-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #20: input, references = 3, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), empty-{F}(V1) | relation-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #21: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #22: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp2-{F}(V0) | function-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #23: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp2-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #24: input, references = 4, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #25: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp3-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #26: input, references = 5, size of lhs = 1:
% 2.07/2.26 pppp3-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #27: input, references = 4, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #28: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp15-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #29: input, references = 3, size of lhs = 2:
% 2.07/2.26 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #30: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #31: input, references = 4, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #32: input, references = 5, size of lhs = 1:
% 2.07/2.26 pppp5-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #33: input, references = 4, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #34: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp6-{F}(V0) | function-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #35: input, references = 5, size of lhs = 1:
% 2.07/2.26 pppp6-{F}(V0) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #36: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp6-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #37: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #38: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp7-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #39: input, references = 3, size of lhs = 2:
% 2.07/2.26 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #40: input, references = 4, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #41: input, references = 5, size of lhs = 1:
% 2.07/2.26 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #42: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #43: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #44: input, references = 3, size of lhs = 2:
% 2.07/2.26 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #45: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #46: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp10-{F}(V0) | one_to_one-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #47: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp10-{F}(V0) | function-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #48: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp10-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #49: input, references = 3, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #50: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp11-{F}(V0) | relation_empty_yielding-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #51: input, references = 3, size of lhs = 1:
% 2.07/2.26 pppp11-{F}(V0) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #52: input, references = 4, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #53: input, references = 6, size of lhs = 8:
% 2.07/2.26 P_empty_set-{F}(V0), P_relation_rng-{F}(V1,V2), relation-{F}(V1), function-{F}(V1), P_relation_inverse_image-{F}(V1,V3,V4), subset-{F}(V3,V2), P_relation_inverse_image-{F}(V1,V5,V6), subset-{F}(V4,V6) | subset-{T}(V3,V5)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #54: input, references = 4, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | EXISTS V1: pppp14-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #55: input, references = 4, size of lhs = 2:
% 2.07/2.26 pppp14-{F}(V0), P_relation_rng-{F}(V0,V1) | EXISTS V2: pppp13-{T}(V2,V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #56: input, references = 4, size of lhs = 2:
% 2.07/2.26 pppp14-{F}(V0), P_relation_rng-{F}(V0,V1) | function-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #57: input, references = 4, size of lhs = 2:
% 2.07/2.26 pppp14-{F}(V0), P_relation_rng-{F}(V0,V1) | relation-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #58: input, references = 5, size of lhs = 2:
% 2.07/2.26 pppp13-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V1,V0,V3) | EXISTS V4: pppp12-{T}(V4,V0,V1,V2,V3)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #59: input, references = 6, size of lhs = 2:
% 2.07/2.26 pppp13-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V1,V0,V3) | subset-{T}(V0,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #60: input, references = 4, size of lhs = 2:
% 2.07/2.26 pppp12-{F}(V1,V1,V2,V3,V4), P_relation_inverse_image-{F}(V2,V1,V5) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #61: input, references = 5, size of lhs = 2:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), P_relation_inverse_image-{F}(V2,V0,V5) | subset-{T}(V0,V3)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #62: input, references = 4, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), P_relation_inverse_image-{F}(V2,V0,V5), V5 == V4 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #63: input, references = 3, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #64: input, references = 4, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #65: input, references = 3, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #66: input, references = 5, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #67: input, references = 4, size of lhs = 4:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #68: input, references = 5, size of lhs = 5:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #69: input, references = 8, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #70: input, references = 3, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #71: input, references = 7, size of lhs = 4:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #72: input, references = 4, size of lhs = 0:
% 2.07/2.26 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #73: input, references = 3, size of lhs = 1:
% 2.07/2.26 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #74: input, references = 6, size of lhs = 1:
% 2.07/2.26 #-{F} V0 | EXISTS V1: P_relation_rng-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #75: input, references = 8, size of lhs = 2:
% 2.07/2.26 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_inverse_image-{T}(V0,V1,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 number of initial rules = 76
% 2.07/2.26
% 2.07/2.26 Simplifiers:
% 2.07/2.26 #76: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #77: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #78: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 P_relation_rng-{F}(V0,V1), P_relation_rng-{F}(V0,V3), V1 == V3 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #79: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 P_relation_inverse_image-{F}(V0,V1,V2), P_relation_inverse_image-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #80: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp1-{F}(V0,V1), pppp1-{F}(V0,V3), V1 == V3 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #81: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #82: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #83: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #84: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #85: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #86: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #87: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #88: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #89: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #90: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp11-{F}(V0), pppp11-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #91: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V1,V2,V3,V4), V0 == V5 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #92: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V2,V3,V9), V1 == V6 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #93: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V7,V8,V9), V2 == V7 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #94: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V6,V2,V8,V9), V3 == V8 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #95: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4), pppp12-{F}(V5,V1,V2,V8,V9), V4 == V9 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #96: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V2), V0 == V3 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #97: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #98: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V1,V5), V2 == V5 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #99: unsound, references = 3, size of lhs = 3:
% 2.07/2.26 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 number of simplifiers = 24
% 2.07/2.26
% 2.07/2.26 Learnt:
% 2.07/2.26 #106: mergings( V0 == V2; #103 ), references = 1, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | pppp3-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #108: mergings( V0 == V2; #104 ), references = 1, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1) | pppp3-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #114: mergings( V0 == V2; #111 ), references = 1, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #116: mergings( V0 == V2; #112 ), references = 1, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #127: mergings( V0 == V3; #123 ), references = 2, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #129: mergings( V0 == V3; #124 ), references = 2, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #132: mergings( V0 == V3, V2 == V3; #125 ), references = 1, size of lhs = 4:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #142: mergings( V0 == V3; #138 ), references = 1, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #145: mergings( V0 == V3, V1 == V3; #139 ), references = 1, size of lhs = 4:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #148: mergings( V0 == V3, V1 == V3; #140 ), references = 1, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #161: mergings( V0 == V2; #158 ), references = 1, size of lhs = 1:
% 2.07/2.26 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #163: mergings( V0 == V2; #159 ), references = 1, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #171: mergings( V2 == V3; #169 ), references = 1, size of lhs = 2:
% 2.07/2.26 empty-{F}(V0), P_empty_set-{F}(V1) | P_relation_rng-{T}(V0,V1)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #196: mergings( V0 == V4; #193 ), references = 1, size of lhs = 2:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #198: mergings( V0 == V4; #194 ), references = 1, size of lhs = 3:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp8-{T}(V1,V3)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #227: mergings( V3 == V4; #225 ), references = 1, size of lhs = 5:
% 2.07/2.26 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), in-{F}(V2,V3), P_powerset-{F}(V4,V2), pppp13-{F}(V3,V5,V4) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #290: exists( #75, #62 ), references = 2, size of lhs = 1:
% 2.07/2.26 pppp12-{F}(V0,V1,V2,V3,V4) | P_relation_inverse_image-{T}(V2,V0,V4)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #296: exists( #58, #294 ), references = 1, size of lhs = 9:
% 2.07/2.26 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng-{F}(V1,V2), subset-{F}(V3,V2), pppp13-{F}(V4,V1,V3), P_relation_inverse_image-{F}(V1,V4,V5), P_relation_inverse_image-{F}(V1,V3,V6), subset-{F}(V6,V5) | pppp12-{T}(V3,V4,V1,V3,V5)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #350: mergings( V3 == V4, V4 == V5; #347 ), references = 1, size of lhs = 8:
% 2.07/2.26 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), P_powerset-{F}(V2,V3), P_powerset-{F}(V4,V3), in-{F}(V5,V6), in-{F}(V6,V7), pppp13-{F}(V7,V8,V4) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #470: mergings( V5 == V6, V7 == V2, V9 == V10; #466 ), references = 2, size of lhs = 10:
% 2.07/2.26 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng-{F}(V1,V2), subset-{F}(V3,V2), pppp13-{F}(V4,V1,V2), P_relation_inverse_image-{F}(V1,V4,V5), subset-{F}(V5,V6), subset-{F}(V6,V5), P_relation_inverse_image-{F}(V1,V3,V6) | pppp12-{T}(V3,V4,V1,V2,V5)
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #476: mergings( V3 == V4; #474 ), references = 2, size of lhs = 6:
% 2.07/2.26 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng-{F}(V1,V2), subset-{F}(V3,V2), pppp13-{F}(V3,V1,V2) | FALSE
% 2.07/2.26 (used 0 times, uses = {})
% 2.07/2.26
% 2.07/2.26 #567: mergings( V4 == V0; #565 ), references = 1, size of lhs = 5:
% 2.07/2.26 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng-{F}(V1,V2), pppp13-{F}(V3,V1,V2) | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #569: exists( #55, #565 ), references = 2, size of lhs = 5:
% 2.07/2.27 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1), P_relation_rng-{F}(V0,V2) | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #576: mergings( V2 == V3; #574 ), references = 2, size of lhs = 5:
% 2.07/2.27 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #580: exists( #9, #578 ), references = 1, size of lhs = 3:
% 2.07/2.27 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2) | pppp1-{T}(V2,V0)
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #586: exists( #74, #569 ), references = 2, size of lhs = 4:
% 2.07/2.27 pppp14-{F}(V0), relation-{F}(V0), function-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #611: exists( #74, #607 ), references = 1, size of lhs = 2:
% 2.07/2.27 pppp14-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #615: mergings( V0 == V2; #612 ), references = 1, size of lhs = 1:
% 2.07/2.27 P_empty_set-{F}(V0) | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 #618: exists( #72, #612 ), references = 1, size of lhs = 0:
% 2.07/2.27 FALSE | FALSE
% 2.07/2.27 (used 0 times, uses = {})
% 2.07/2.27
% 2.07/2.27 number of learnt formulas = 29
% 2.07/2.27
% 2.07/2.27
% 2.07/2.27 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.07/2.27
% 2.07/2.27 randbase = 1
%------------------------------------------------------------------------------