TSTP Solution File: SEU047+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU047+1 : 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 06:17:07 EDT 2022
% Result : Theorem 6.05s 6.21s
% Output : Refutation 6.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % 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 19:31:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.05/6.21 GeoParameters:
% 6.05/6.21
% 6.05/6.21 tptp_input = 1
% 6.05/6.21 tptp_output = 0
% 6.05/6.21 nonempty = 1
% 6.05/6.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.05/6.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.05/6.21
% 6.05/6.21
% 6.05/6.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.05/6.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.05/6.21
% 6.05/6.21 RuleSystem INPUT:
% 6.05/6.21
% 6.05/6.21 Initial Rules:
% 6.05/6.21 #0: input, references = 3, size of lhs = 2:
% 6.05/6.21 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #1: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #2: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #3: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #4: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #5: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | relation_empty_yielding-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #6: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #7: input, references = 3, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #8: input, references = 3, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #9: input, references = 3, size of lhs = 5:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #10: input, references = 5, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), #-{F} V1 | EXISTS V2: pppp0-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #11: input, references = 5, size of lhs = 1:
% 6.05/6.21 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #12: input, references = 3, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1) | function-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #13: input, references = 3, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), empty-{F}(V1), function-{F}(V1) | one_to_one-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #14: input, references = 3, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V2) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #15: input, references = 3, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1) | relation-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #16: input, references = 5, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #17: input, references = 8, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #18: input, references = 3, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #19: input, references = 7, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #20: input, references = 3, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #21: input, references = 4, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | relation-{T}(V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #22: input, references = 3, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | relation-{T}(V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #23: input, references = 3, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), function-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3) | function-{T}(V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #24: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #25: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp1-{F}(V0) | function-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #26: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp1-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #27: input, references = 4, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp2-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #28: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp2-{F}(V0) | function-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #29: input, references = 5, size of lhs = 1:
% 6.05/6.21 pppp2-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #30: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp2-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #31: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #32: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp3-{F}(V0) | one_to_one-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #33: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp3-{F}(V0) | function-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #34: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp3-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #35: input, references = 4, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #36: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp14-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #37: input, references = 3, size of lhs = 2:
% 6.05/6.21 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #38: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #39: input, references = 4, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp5-{T}(V3,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #40: input, references = 5, size of lhs = 1:
% 6.05/6.21 pppp5-{F}(V0,V1) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #41: input, references = 7, size of lhs = 1:
% 6.05/6.21 pppp5-{F}(V0,V1) | element-{T}(V0,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #42: input, references = 4, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #43: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp6-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #44: input, references = 5, size of lhs = 1:
% 6.05/6.21 pppp6-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #45: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp7-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #46: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp7-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #47: input, references = 3, size of lhs = 2:
% 6.05/6.21 pppp7-{F}(V0), empty-{F}(V0) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #48: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #49: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp8-{F}(V0) | relation_empty_yielding-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #50: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp8-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #51: input, references = 4, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #52: input, references = 5, size of lhs = 1:
% 6.05/6.21 pppp9-{F}(V0) | empty-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #53: input, references = 3, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp10-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #54: input, references = 3, size of lhs = 2:
% 6.05/6.21 pppp10-{F}(V0), empty-{F}(V0) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #55: input, references = 7, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #56: input, references = 3, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #57: input, references = 4, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | EXISTS V1: pppp13-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #58: input, references = 4, size of lhs = 1:
% 6.05/6.21 pppp13-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #59: input, references = 3, size of lhs = 1:
% 6.05/6.21 pppp13-{F}(V0) | function-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #60: input, references = 4, size of lhs = 1:
% 6.05/6.21 pppp13-{F}(V0) | relation-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #61: input, references = 6, size of lhs = 1:
% 6.05/6.21 pppp12-{F}(V0,V1) | EXISTS V2: pppp11-{T}(V2,V1,V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #62: input, references = 8, size of lhs = 5:
% 6.05/6.21 pppp11-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V2,V3), P_relation_rng_restriction-{F}(V1,V3,V3), P_relation_rng_restriction-{F}(V1,V2,V5), P_relation_rng_restriction-{F}(V0,V5,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #63: input, references = 7, size of lhs = 5:
% 6.05/6.21 pppp11-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V2,V3), P_relation_rng_restriction-{F}(V1,V3,V4), P_relation_rng_restriction-{F}(V1,V2,V5), P_relation_rng_restriction-{F}(V0,V5,V6) | subset-{T}(V0,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #64: input, references = 6, size of lhs = 6:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V3,V1,V4), P_relation_rng_restriction-{F}(V2,V4,V5), subset-{F}(V3,V2), V5 == V4 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #65: input, references = 7, size of lhs = 7:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V4), P_relation_rng_restriction-{F}(V3,V4,V5), P_relation_rng_restriction-{F}(V3,V1,V6), subset-{F}(V3,V2), V5 == V6 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #66: input, references = 4, size of lhs = 0:
% 6.05/6.21 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #67: input, references = 7, size of lhs = 1:
% 6.05/6.21 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #68: input, references = 13, size of lhs = 2:
% 6.05/6.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_relation_rng_restriction-{T}(V0,V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 number of initial rules = 69
% 6.05/6.21
% 6.05/6.21 Simplifiers:
% 6.05/6.21 #69: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #70: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #71: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 P_relation_rng_restriction-{F}(V0,V1,V2), P_relation_rng_restriction-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #72: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #73: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #74: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #75: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #76: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #77: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp5-{F}(V0,V1), pppp5-{F}(V2,V1), V0 == V2 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #78: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #79: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp7-{F}(V0), pppp7-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #80: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #81: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #82: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp10-{F}(V0), pppp10-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #83: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V1,V2), V0 == V3 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #84: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V2), V1 == V4 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #85: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp11-{F}(V0,V1,V2), pppp11-{F}(V3,V4,V5), V2 == V5 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #86: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #87: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #88: unsound, references = 3, size of lhs = 3:
% 6.05/6.21 pppp13-{F}(V0), pppp13-{F}(V1), V0 == V1 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 number of simplifiers = 20
% 6.05/6.21
% 6.05/6.21 Learnt:
% 6.05/6.21 #95: mergings( V0 == V2; #92 ), references = 1, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | pppp2-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #97: mergings( V0 == V2; #93 ), references = 1, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1) | pppp2-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #104: mergings( V0 == V2; #101 ), references = 1, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | pppp9-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #106: mergings( V0 == V2; #102 ), references = 1, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1) | pppp9-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #113: mergings( V0 == V2; #110 ), references = 1, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | pppp6-{T}(V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #115: mergings( V0 == V2; #111 ), references = 1, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1) | pppp6-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #117: exists( #68, #64 ), references = 6, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3), subset-{F}(V2,V4) | P_relation_rng_restriction-{T}(V4,V3,V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #124: mergings( V0 == V4; #121 ), references = 5, size of lhs = 2:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp5-{T}(V0,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #126: mergings( V0 == V4; #122 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V2,V3) | pppp5-{T}(V1,V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #129: mergings( V0 == V3; #127 ), references = 2, size of lhs = 5:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), element-{F}(V4,V3) | empty-{T}(V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #137: exists( #68, #65 ), references = 3, size of lhs = 5:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), subset-{F}(V2,V3), P_relation_rng_restriction-{F}(V3,V1,V4), P_relation_rng_restriction-{F}(V2,V4,V5) | P_relation_rng_restriction-{T}(V2,V1,V5)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #148: mergings( V0 == V3; #144 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), element-{F}(V1,V2), P_powerset-{F}(V3,V2) | in-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #150: mergings( V0 == V3; #145 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #153: mergings( V0 == V3, V2 == V3; #146 ), references = 1, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #158: mergings( V0 == V3; #154 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #161: mergings( V0 == V3, V1 == V3; #155 ), references = 1, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #163: mergings( V1 == V0; #156 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), pppp7-{F}(V0), P_powerset-{F}(V0,V1) | pppp14-{T}(V1)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #175: mergings( V0 == V3, V3 == V6; #171 ), references = 2, size of lhs = 5:
% 6.05/6.21 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2), element-{F}(V3,V1), V3 == V2 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #190: mergings( V0 == V4; #188 ), references = 1, size of lhs = 3:
% 6.05/6.21 empty-{F}(V0), P_powerset-{F}(V0,V1), P_empty_set-{F}(V2) | pppp0-{T}(V1,V2)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #199: exists( #68, #65 ), references = 4, size of lhs = 5:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3), subset-{F}(V2,V4), P_relation_rng_restriction-{F}(V4,V1,V5) | P_relation_rng_restriction-{T}(V2,V5,V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #252: mergings( V3 == V4, V6 == V7, V7 == V8, V9 == V10; #246 ), references = 1, size of lhs = 6:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), subset-{F}(V2,V3), pppp11-{F}(V3,V2,V1), P_relation_rng_restriction-{F}(V2,V1,V4), P_relation_rng_restriction-{F}(V3,V4,V5) | P_relation_rng_restriction-{T}(V3,V1,V5)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #257: mergings( V3 == V4, V4 == V5, V5 == V6, V8 == V9; #247 ), references = 1, size of lhs = 7:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), subset-{F}(V2,V2), subset-{F}(V3,V2), pppp11-{F}(V2,V3,V0), P_relation_rng_restriction-{F}(V3,V0,V4), P_relation_rng_restriction-{F}(V2,V4,V5) | P_relation_rng_restriction-{T}(V2,V0,V4)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #270: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V9 == V10, V7 == V11; #263 ), references = 1, size of lhs = 7:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_rng_restriction-{F}(V1,V0,V3), P_relation_rng_restriction-{F}(V1,V3,V3), P_relation_rng_restriction-{F}(V1,V2,V3), pppp11-{F}(V4,V1,V2) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #277: mergings( V1 == V3, V3 == V4, V4 == V6, V6 == V7, V8 == V9; #271 ), references = 1, size of lhs = 7:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp12-{F}(V2,V1), P_relation_rng_restriction-{F}(V1,V0,V3), P_relation_rng_restriction-{F}(V1,V3,V3), P_relation_rng_restriction-{F}(V1,V2,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #516: exists( #68, #512 ), references = 3, size of lhs = 10:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3), pppp11-{F}(V4,V2,V5), P_relation_rng_restriction-{F}(V4,V5,V6), P_relation_rng_restriction-{F}(V2,V5,V7), P_relation_rng_restriction-{F}(V4,V7,V8), P_relation_rng_restriction-{F}(V4,V3,V9), P_relation_rng_restriction-{F}(V4,V1,V10), V9 == V10 | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #517: exists( #68, #513 ), references = 2, size of lhs = 7:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3), P_relation_rng_restriction-{F}(V2,V4,V3), pppp11-{F}(V2,V5,V4), P_relation_rng_restriction-{F}(V5,V4,V6), P_relation_rng_restriction-{F}(V2,V6,V7) | P_relation_rng_restriction-{T}(V5,V3,V3)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #525: mergings( V3 == V4, V4 == V6, V11 == V12, V13 == V14; #520 ), references = 2, size of lhs = 10:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_rng_restriction-{F}(V3,V0,V2), subset-{F}(V4,V3), subset-{F}(V4,V5), P_relation_rng_restriction-{F}(V5,V0,V6), pppp11-{F}(V4,V7,V2), P_relation_rng_restriction-{F}(V7,V2,V8), P_relation_rng_restriction-{F}(V4,V8,V9) | P_relation_rng_restriction-{T}(V4,V6,V9)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #537: mergings( V2 == V3, V3 == V4, V4 == V7, V8 == V13, V10 == V14; #531 ), references = 1, size of lhs = 12:
% 6.05/6.21 relation-{F}(V0), relation-{F}(V1), P_empty_set-{F}(V2), relation-{F}(V3), P_relation_rng_restriction-{F}(V2,V0,V4), P_relation_rng_restriction-{F}(V5,V4,V4), P_relation_rng_restriction-{F}(V5,V3,V4), pppp11-{F}(V6,V5,V3), subset-{F}(V6,V7), P_relation_rng_restriction-{F}(V7,V1,V3), subset-{F}(V6,V8), P_relation_rng_restriction-{F}(V8,V1,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #584: mergings( V2 == V3, V3 == V4, V4 == V6; #580 ), references = 1, size of lhs = 9:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_rng_restriction-{F}(V1,V0,V3), P_relation_rng_restriction-{F}(V4,V3,V3), P_relation_rng_restriction-{F}(V4,V2,V3), pppp11-{F}(V5,V4,V2), subset-{F}(V5,V6), P_relation_rng_restriction-{F}(V6,V2,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #668: mergings( V5 == V6, V7 == V8; #665 ), references = 2, size of lhs = 5:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V2,V3,V1), P_relation_rng_restriction-{F}(V3,V1,V4), P_relation_rng_restriction-{F}(V2,V4,V5) | P_relation_rng_restriction-{T}(V2,V1,V5)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #685: mergings( V2 == V3, V3 == V4, V4 == V6, V9 == V10; #679 ), references = 1, size of lhs = 7:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), P_relation_rng_restriction-{F}(V1,V0,V3), P_relation_rng_restriction-{F}(V4,V3,V3), P_relation_rng_restriction-{F}(V4,V2,V3), pppp11-{F}(V5,V4,V2) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #692: mergings( V3 == V4, V4 == V5, V5 == V7; #687 ), references = 1, size of lhs = 7:
% 6.05/6.21 relation-{F}(V0), P_empty_set-{F}(V1), relation-{F}(V2), pppp12-{F}(V2,V3), P_relation_rng_restriction-{F}(V1,V0,V4), P_relation_rng_restriction-{F}(V3,V4,V4), P_relation_rng_restriction-{F}(V3,V2,V4) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #724: exists( #68, #516 ), references = 1, size of lhs = 7:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), P_relation_rng_restriction-{F}(V2,V1,V3), P_relation_rng_restriction-{F}(V2,V4,V3), pppp11-{F}(V5,V2,V4), P_relation_rng_restriction-{F}(V5,V4,V6), P_relation_rng_restriction-{F}(V5,V1,V7) | P_relation_rng_restriction-{T}(V5,V3,V7)
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #763: mergings( V3 == V4, V6 == V7; #760 ), references = 1, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), pppp11-{F}(V2,V3,V1), P_relation_rng_restriction-{F}(V3,V1,V4) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #766: mergings( V3 == V4; #764 ), references = 1, size of lhs = 4:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), pppp12-{F}(V1,V2), P_relation_rng_restriction-{F}(V2,V1,V3) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #769: mergings( V3 == V4; #767 ), references = 1, size of lhs = 3:
% 6.05/6.21 P_empty_set-{F}(V0), relation-{F}(V1), pppp12-{F}(V1,V2) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #772: mergings( V2 == V3; #770 ), references = 2, size of lhs = 3:
% 6.05/6.21 pppp13-{F}(V0), relation-{F}(V0), P_empty_set-{F}(V1) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #776: mergings( V0 == V2; #774 ), references = 1, size of lhs = 1:
% 6.05/6.21 P_empty_set-{F}(V0) | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 #778: exists( #66, #774 ), references = 1, size of lhs = 0:
% 6.05/6.21 FALSE | FALSE
% 6.05/6.21 (used 0 times, uses = {})
% 6.05/6.21
% 6.05/6.21 number of learnt formulas = 39
% 6.05/6.21
% 6.05/6.21
% 6.05/6.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.05/6.21
% 6.05/6.21 randbase = 1
%------------------------------------------------------------------------------