TSTP Solution File: SEU107+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU107+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 06:17:12 EDT 2022
% Result : Theorem 0.84s 1.08s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % 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
% 0.12/0.33 % DateTime : Fri Jul 22 19:29:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.84/1.08 GeoParameters:
% 0.84/1.08
% 0.84/1.08 tptp_input = 1
% 0.84/1.08 tptp_output = 0
% 0.84/1.08 nonempty = 1
% 0.84/1.08 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.08 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.84/1.08
% 0.84/1.08
% 0.84/1.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.08
% 0.84/1.08 RuleSystem INPUT:
% 0.84/1.08
% 0.84/1.08 Initial Rules:
% 0.84/1.08 #0: input, references = 3, size of lhs = 2:
% 0.84/1.08 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #1: input, references = 3, size of lhs = 1:
% 0.84/1.08 empty-{F}(V0) | finite-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #2: input, references = 3, size of lhs = 1:
% 0.84/1.08 preboolean-{F}(V0) | cup_closed-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #3: input, references = 3, size of lhs = 1:
% 0.84/1.08 preboolean-{F}(V0) | diff_closed-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #4: input, references = 3, size of lhs = 3:
% 0.84/1.08 P_powerset-{F}(V0,V1), finite-{F}(V0), element-{F}(V2,V1) | finite-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #5: input, references = 3, size of lhs = 2:
% 0.84/1.08 cup_closed-{F}(V0), diff_closed-{F}(V0) | preboolean-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #6: input, references = 4, size of lhs = 4:
% 0.84/1.08 preboolean-{F}(V0), element-{F}(V1,V0), P_prebool_difference-{F}(V0,V2,V1,V3), element-{F}(V2,V0) | empty-{T}(V0), element-{T}(V3,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #7: input, references = 5, size of lhs = 1:
% 0.84/1.08 #-{F} V0 | EXISTS V1: pppp0-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #8: input, references = 5, size of lhs = 1:
% 0.84/1.08 pppp0-{F}(V0,V1) | element-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #9: input, references = 3, size of lhs = 2:
% 0.84/1.08 finite-{F}(V0), P_set_difference-{F}(V0,V1,V2) | finite-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #10: input, references = 3, size of lhs = 2:
% 0.84/1.08 P_powerset-{F}(V0,V1), empty-{F}(V1) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #11: input, references = 4, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #12: input, references = 3, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | EXISTS V1: pppp1-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #13: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp1-{F}(V0) | finite-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #14: input, references = 3, size of lhs = 2:
% 0.84/1.08 pppp1-{F}(V0), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #15: input, references = 3, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | EXISTS V1: pppp3-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #16: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp3-{F}(V0) | pppp2-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #17: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp2-{F}(V0) | preboolean-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #18: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp2-{F}(V0) | diff_closed-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #19: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp2-{F}(V0) | cap_closed-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #20: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp2-{F}(V0) | cup_closed-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #21: input, references = 4, size of lhs = 2:
% 0.84/1.08 pppp2-{F}(V0), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #22: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp13-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #23: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp13-{F}(V0) | EXISTS V1: pppp4-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #24: input, references = 3, size of lhs = 2:
% 0.84/1.08 pppp4-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #25: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp4-{F}(V0,V1) | element-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #26: input, references = 4, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #27: input, references = 5, size of lhs = 1:
% 0.84/1.08 pppp5-{F}(V0) | empty-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #28: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp7-{T}(V2,V3)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #29: input, references = 4, size of lhs = 1:
% 0.84/1.08 pppp7-{F}(V0,V1) | pppp6-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #30: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | finite-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #31: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | natural-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #32: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | ordinal-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #33: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | epsilon_connected-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #34: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | epsilon_transitive-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #35: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | one_to_one-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #36: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | function-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #37: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | relation-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #38: input, references = 4, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | empty-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #39: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp6-{F}(V0,V1) | element-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #40: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | EXISTS V3: pppp8-{T}(V3,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #41: input, references = 4, size of lhs = 1:
% 0.84/1.08 pppp8-{F}(V0,V1) | empty-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #42: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp8-{F}(V0,V1) | element-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #43: input, references = 3, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #44: input, references = 3, size of lhs = 2:
% 0.84/1.08 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #45: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp14-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #46: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp14-{F}(V0) | EXISTS V1: pppp10-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #47: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp10-{F}(V0,V1) | finite-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #48: input, references = 3, size of lhs = 2:
% 0.84/1.08 pppp10-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #49: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp10-{F}(V0,V1) | element-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #50: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | empty-{T}(V1), pppp15-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #51: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp15-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #52: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp11-{F}(V0,V1) | finite-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #53: input, references = 3, size of lhs = 2:
% 0.84/1.08 pppp11-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #54: input, references = 3, size of lhs = 1:
% 0.84/1.08 pppp11-{F}(V0,V1) | element-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #55: input, references = 6, size of lhs = 7:
% 0.84/1.08 P_empty_set-{F}(V0), preboolean-{F}(V1), element-{F}(V2,V1), P_prebool_difference-{F}(V1,V3,V2,V4), P_set_difference-{F}(V3,V2,V5), element-{F}(V3,V1), V4 == V5 | empty-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #56: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #57: input, references = 4, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | EXISTS V1: pppp12-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #58: input, references = 4, size of lhs = 2:
% 0.84/1.08 pppp12-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #59: input, references = 4, size of lhs = 1:
% 0.84/1.08 pppp12-{F}(V0,V1) | preboolean-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #60: input, references = 4, size of lhs = 2:
% 0.84/1.08 pppp12-{F}(V0,V1), empty-{F}(V0) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #61: input, references = 3, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), in-{F}(V1,V2) | element-{T}(V1,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #62: input, references = 4, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), element-{F}(V2,V1) | empty-{T}(V1), in-{T}(V2,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #63: input, references = 3, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V0) | subset-{T}(V1,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #64: input, references = 5, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V2,V3), subset-{F}(V1,V2), V3 == V0 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #65: input, references = 4, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_set_difference-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #66: input, references = 4, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3) | subset-{T}(V1,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #67: input, references = 3, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), subset-{F}(V1,V2) | element-{T}(V1,V3)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #68: input, references = 4, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_set_difference-{F}(V0,V1,V2), V2 == V0 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #69: input, references = 4, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V2,V3), element-{F}(V1,V3), in-{F}(V4,V1) | element-{T}(V4,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #70: input, references = 3, size of lhs = 5:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), empty-{F}(V1), element-{F}(V3,V2), in-{F}(V4,V3) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #71: input, references = 7, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #72: input, references = 4, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #73: input, references = 4, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #74: input, references = 3, size of lhs = 1:
% 0.84/1.08 #-{F} V0 | EXISTS V1: P_powerset-{T}(V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #75: input, references = 4, size of lhs = 3:
% 0.84/1.08 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_prebool_difference-{T}(V0,V1,V2,V3)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #76: input, references = 6, size of lhs = 2:
% 0.84/1.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_difference-{T}(V0,V1,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #77: input, references = 4, size of lhs = 0:
% 0.84/1.08 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 number of initial rules = 78
% 0.84/1.08
% 0.84/1.08 Simplifiers:
% 0.84/1.08 #78: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 cap_closed-{F}(V0), cap_closed-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #79: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 P_powerset-{F}(V0,V1), P_powerset-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #80: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 P_prebool_difference-{F}(V0,V1,V2,V3), P_prebool_difference-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #81: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 P_set_difference-{F}(V0,V1,V2), P_set_difference-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #82: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #83: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #84: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp1-{F}(V0), pppp1-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #85: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #86: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #87: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp4-{F}(V0,V1), pppp4-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #88: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #89: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp6-{F}(V0,V1), pppp6-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #90: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #91: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp8-{F}(V0,V1), pppp8-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #92: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #93: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp10-{F}(V0,V1), pppp10-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #94: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #95: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp12-{F}(V0,V1), pppp12-{F}(V2,V1), V0 == V2 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #96: unsound, references = 3, size of lhs = 3:
% 0.84/1.08 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V1 == V3 | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 number of simplifiers = 19
% 0.84/1.08
% 0.84/1.08 Learnt:
% 0.84/1.08 #98: exists( #76, #64 ), references = 2, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), subset-{F}(V1,V2) | P_set_difference-{T}(V1,V2,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #115: mergings( V0 == V2; #112 ), references = 1, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #117: mergings( V0 == V2; #113 ), references = 1, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #119: exists( #76, #65 ), references = 2, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V1,V0,V1)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #121: exists( #76, #68 ), references = 1, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), #-{F} V1 | P_set_difference-{T}(V0,V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #127: mergings( V0 == V3; #123 ), references = 3, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), element-{F}(V1,V2), V2 == V0 | in-{T}(V1,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #130: mergings( V0 == V3, V2 == V3; #124 ), references = 1, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, element-{F}(V2,V0) | in-{T}(V2,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #132: mergings( V2 == V0; #125 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), element-{F}(V1,V0), P_powerset-{F}(V2,V0) | in-{T}(V1,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #144: mergings( V0 == V3; #140 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp14-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #147: mergings( V0 == V3, V1 == V3; #141 ), references = 1, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #150: mergings( V0 == V3, V1 == V3; #142 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp14-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #164: mergings( V0 == V3; #160 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp13-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #167: mergings( V0 == V3, V1 == V3; #161 ), references = 1, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #170: mergings( V0 == V3, V1 == V3; #162 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp13-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #185: exists( #75, #179 ), references = 1, size of lhs = 6:
% 0.84/1.08 P_empty_set-{F}(V0), preboolean-{F}(V1), pppp2-{F}(V1), element-{F}(V2,V1), element-{F}(V3,V1), P_set_difference-{F}(V3,V2,V4) | P_prebool_difference-{T}(V1,V3,V2,V4)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #187: mergings( V4 == V6; #183 ), references = 2, size of lhs = 6:
% 0.84/1.08 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | P_prebool_difference-{T}(V0,V2,V1,V3)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #190: mergings( V4 == V6, V0 == V6; #184 ), references = 1, size of lhs = 6:
% 0.84/1.08 preboolean-{F}(V0), P_empty_set-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_set_difference-{F}(V2,V1,V3), in-{F}(V4,V0) | P_prebool_difference-{T}(V0,V2,V1,V3)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #213: mergings( V0 == V4; #211 ), references = 1, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp7-{T}(V2,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #234: mergings( V0 == V4; #232 ), references = 1, size of lhs = 2:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2) | pppp8-{T}(V0,V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #246: mergings( V0 == V3; #242 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V1,V2), V1 == V0 | pppp15-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #249: mergings( V0 == V3, V1 == V3; #243 ), references = 1, size of lhs = 4:
% 0.84/1.08 P_empty_set-{F}(V0), empty-{F}(V1), V0 == V1, P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #252: mergings( V0 == V3, V1 == V3; #244 ), references = 1, size of lhs = 3:
% 0.84/1.08 P_empty_set-{F}(V0), in-{F}(V1,V0), P_powerset-{F}(V0,V2) | pppp15-{T}(V2)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #279: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #274 ), references = 1, size of lhs = 5:
% 0.84/1.08 P_empty_set-{F}(V0), P_powerset-{F}(V0,V1), P_powerset-{F}(V1,V2), element-{F}(V3,V2), V3 == V0 | pppp0-{T}(V3,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #333: disj( #6, input ), references = 2, size of lhs = 5:
% 0.84/1.08 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), pppp12-{F}(V0,V4) | element-{T}(V3,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #334: disj( #6, input ), references = 1, size of lhs = 6:
% 0.84/1.08 preboolean-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), P_empty_set-{F}(V4), V0 == V4 | element-{T}(V3,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #336: mergings( V0 == V4; #332 ), references = 1, size of lhs = 6:
% 0.84/1.08 preboolean-{F}(V0), P_empty_set-{F}(V0), element-{F}(V1,V0), element-{F}(V2,V0), P_prebool_difference-{F}(V0,V2,V1,V3), in-{F}(V4,V0) | element-{T}(V3,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #352: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V5; #347 ), references = 1, size of lhs = 4:
% 0.84/1.08 preboolean-{F}(V0), pppp12-{F}(V0,V1), V0 == V1, P_empty_set-{F}(V1) | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #358: mergings( V2 == V0, V0 == V3, V3 == V4; #354 ), references = 1, size of lhs = 1:
% 0.84/1.08 P_empty_set-{F}(V0) | pppp12-{T}(V0,V0)
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 #366: exists( #77, #364 ), references = 1, size of lhs = 0:
% 0.84/1.08 FALSE | FALSE
% 0.84/1.08 (used 0 times, uses = {})
% 0.84/1.08
% 0.84/1.08 number of learnt formulas = 29
% 0.84/1.08
% 0.84/1.08
% 0.84/1.08 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.08
% 0.84/1.08 randbase = 1
%------------------------------------------------------------------------------