TSTP Solution File: SEU123+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:17:15 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 19:12:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.37 GeoParameters:
% 0.19/0.37
% 0.19/0.37 tptp_input = 1
% 0.19/0.37 tptp_output = 0
% 0.19/0.37 nonempty = 1
% 0.19/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37
% 0.19/0.37 RuleSystem INPUT:
% 0.19/0.37
% 0.19/0.37 Initial Rules:
% 0.19/0.37 #0: input, references = 3, size of lhs = 2:
% 0.19/0.37 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #1: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #2: input, references = 3, size of lhs = 1:
% 0.19/0.37 #-{F} V1 | pppp0-{T}(V1,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #3: input, references = 4, size of lhs = 2:
% 0.19/0.37 pppp0-{F}(V0,V1), V0 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #4: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #5: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp0-{F}(V0,V1) | subset-{T}(V1,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #6: input, references = 4, size of lhs = 2:
% 0.19/0.37 subset-{F}(V0,V1), subset-{F}(V1,V0) | pppp0-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #7: input, references = 3, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | pppp1-{T}(V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #8: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), pppp1-{F}(V1), V1 == V0 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #9: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), pppp1-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #10: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1 | pppp1-{T}(V1), pppp13-{T}(V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #11: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp13-{F}(V0) | EXISTS V1: pppp5-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #12: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp5-{F}(V0,V1) | in-{T}(V1,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #13: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), subset-{F}(V1,V2) | pppp2-{T}(V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #14: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), pppp2-{F}(V1,V2) | subset-{T}(V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #15: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), pppp2-{F}(V1,V2), in-{F}(V3,V1) | in-{T}(V3,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #16: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | pppp2-{T}(V1,V2), pppp14-{T}(V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #17: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp14-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #18: input, references = 3, size of lhs = 2:
% 0.19/0.37 pppp6-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #19: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp6-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #20: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4) | pppp4-{T}(V1,V2,V4)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #21: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V4), pppp4-{F}(V1,V2,V3), V3 == V4 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #22: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), in-{F}(V4,V3) | pppp3-{T}(V1,V2,V4)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #23: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), pppp4-{F}(V1,V2,V3), pppp3-{F}(V1,V2,V4) | in-{T}(V4,V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #24: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2, #-{F} V3 | pppp4-{T}(V1,V2,V3), pppp15-{T}(V1,V2,V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #25: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp15-{F}(V0,V1,V2) | EXISTS V3: pppp7-{T}(V0,V1,V2,V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #26: input, references = 3, size of lhs = 3:
% 0.19/0.37 pppp7-{F}(V0,V1,V2,V3), pppp3-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #27: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp7-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp3-{T}(V0,V1,V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #28: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3) | in-{T}(V3,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #29: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), pppp3-{F}(V1,V2,V3) | in-{T}(V3,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #30: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2) | pppp3-{T}(V1,V2,V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #31: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), disjoint-{F}(V1,V2), V3 == V0 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #32: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V0) | disjoint-{T}(V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #33: input, references = 3, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | empty-{T}(V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #34: input, references = 4, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #35: input, references = 3, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #36: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp8-{F}(V0) | empty-{T}(V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #37: input, references = 3, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp9-{T}(V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #38: input, references = 3, size of lhs = 2:
% 0.19/0.37 pppp9-{F}(V0), empty-{F}(V0) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #39: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #40: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), disjoint-{F}(V1,V2) | disjoint-{T}(V2,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #41: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), subset-{F}(V1,V2), subset-{F}(V3,V1) | subset-{T}(V3,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #42: input, references = 4, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #43: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1, #-{F} V2 | disjoint-{T}(V1,V2), pppp16-{T}(V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #44: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp16-{F}(V0,V1) | EXISTS V2: pppp10-{T}(V0,V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #45: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), in-{F}(V3,V1), in-{F}(V3,V2), disjoint-{F}(V1,V2) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #46: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp10-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #47: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp10-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #48: input, references = 4, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | EXISTS V1: pppp11-{T}(V1,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #49: input, references = 4, size of lhs = 1:
% 0.19/0.37 pppp11-{F}(V1,V1) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #50: input, references = 4, size of lhs = 1:
% 0.19/0.37 pppp11-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #51: input, references = 3, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3) | disjoint-{T}(V1,V2), pppp17-{T}(V3)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #52: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp17-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #53: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V2,V3), in-{F}(V4,V3), disjoint-{F}(V1,V2) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #54: input, references = 3, size of lhs = 1:
% 0.19/0.37 pppp12-{F}(V0,V1) | in-{T}(V1,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #55: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #56: input, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #57: input, references = 3, size of lhs = 4:
% 0.19/0.37 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #58: input, references = 4, size of lhs = 2:
% 0.19/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #59: input, references = 4, size of lhs = 0:
% 0.19/0.37 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 number of initial rules = 60
% 0.19/0.37
% 0.19/0.37 Simplifiers:
% 0.19/0.37 #60: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #61: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #62: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp5-{F}(V0,V1), pppp5-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #63: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #64: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp7-{F}(V0,V1,V2,V3), pppp7-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #65: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #66: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #67: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp10-{F}(V0,V1,V2), pppp10-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #68: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp11-{F}(V0,V1), pppp11-{F}(V2,V1), V0 == V2 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #69: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp11-{F}(V0,V1), pppp11-{F}(V2,V3), V1 == V3 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #70: unsound, references = 3, size of lhs = 3:
% 0.19/0.37 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 number of simplifiers = 11
% 0.19/0.37
% 0.19/0.37 Learnt:
% 0.19/0.37 #72: exists( #58, #34 ), references = 1, size of lhs = 2:
% 0.19/0.37 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #79: exists( #48, #77 ), references = 1, size of lhs = 1:
% 0.19/0.37 P_empty_set-{F}(V0) | pppp11-{T}(V0,V0)
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 #82: exists( #59, #80 ), references = 1, size of lhs = 0:
% 0.19/0.37 FALSE | FALSE
% 0.19/0.37 (used 0 times, uses = {})
% 0.19/0.37
% 0.19/0.37 number of learnt formulas = 3
% 0.19/0.37
% 0.19/0.37
% 0.19/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.37
% 0.19/0.37 randbase = 1
%------------------------------------------------------------------------------