TSTP Solution File: SEU127+1 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SEU127+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 1.76s 1.96s
% Output : Refutation 1.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU127+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n018.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 18:54:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.76/1.96 GeoParameters:
% 1.76/1.96
% 1.76/1.96 tptp_input = 1
% 1.76/1.96 tptp_output = 0
% 1.76/1.96 nonempty = 1
% 1.76/1.96 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96
% 1.76/1.96 RuleSystem INPUT:
% 1.76/1.96
% 1.76/1.96 Initial Rules:
% 1.76/1.96 #0: input, references = 5, size of lhs = 2:
% 1.76/1.96 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #1: input, references = 4, size of lhs = 3:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V1,V0,V3), V2 == V3 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #2: input, references = 3, size of lhs = 1:
% 1.76/1.96 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #3: input, references = 4, size of lhs = 1:
% 1.76/1.96 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #4: input, references = 6, size of lhs = 2:
% 1.76/1.96 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #5: input, references = 6, size of lhs = 2:
% 1.76/1.96 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp9-{T}(V0,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #6: input, references = 5, size of lhs = 1:
% 1.76/1.96 pppp9-{F}(V0,V1) | EXISTS V2: pppp3-{T}(V0,V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #7: input, references = 4, size of lhs = 2:
% 1.76/1.96 pppp3-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #8: input, references = 5, size of lhs = 1:
% 1.76/1.96 pppp3-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #9: input, references = 4, size of lhs = 1:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V3) | pppp2-{T}(V0,V1,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #10: input, references = 3, size of lhs = 3:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V3), pppp2-{F}(V0,V1,V2), V2 == V3 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #11: input, references = 5, size of lhs = 2:
% 1.76/1.96 pppp2-{F}(V0,V1,V2), in-{F}(V3,V2) | pppp1-{T}(V0,V1,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #12: input, references = 3, size of lhs = 2:
% 1.76/1.96 pppp2-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V3) | in-{T}(V3,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #13: input, references = 4, size of lhs = 3:
% 1.76/1.96 #-{F} V0, #-{F} V1, #-{F} V2 | pppp2-{T}(V0,V1,V2), pppp10-{T}(V0,V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #14: input, references = 3, size of lhs = 1:
% 1.76/1.96 pppp10-{F}(V0,V1,V2) | EXISTS V3: pppp4-{T}(V0,V1,V2,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #15: input, references = 6, size of lhs = 3:
% 1.76/1.96 pppp4-{F}(V0,V1,V2,V3), pppp1-{F}(V0,V1,V3), in-{F}(V3,V2) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #16: input, references = 9, size of lhs = 1:
% 1.76/1.96 pppp4-{F}(V0,V1,V2,V3) | in-{T}(V3,V2), pppp1-{T}(V0,V1,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #17: input, references = 6, size of lhs = 1:
% 1.76/1.96 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #18: input, references = 6, size of lhs = 1:
% 1.76/1.96 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #19: input, references = 3, size of lhs = 2:
% 1.76/1.96 in-{F}(V2,V0), in-{F}(V2,V1) | pppp1-{T}(V0,V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #20: input, references = 3, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | empty-{T}(V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #21: input, references = 4, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V1,V2), V2 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #22: input, references = 4, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | EXISTS V1: pppp5-{T}(V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #23: input, references = 5, size of lhs = 1:
% 1.76/1.96 pppp5-{F}(V0) | empty-{T}(V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #24: input, references = 3, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | EXISTS V1: pppp6-{T}(V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #25: input, references = 3, size of lhs = 2:
% 1.76/1.96 pppp6-{F}(V0), empty-{F}(V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #26: input, references = 3, size of lhs = 2:
% 1.76/1.96 P_empty_set-{F}(V0), #-{F} V1 | subset-{T}(V1,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #27: input, references = 4, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | EXISTS V1: pppp8-{T}(V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #28: input, references = 5, size of lhs = 1:
% 1.76/1.96 pppp8-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #29: input, references = 5, size of lhs = 3:
% 1.76/1.96 pppp7-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2), subset-{F}(V2,V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #30: input, references = 4, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), P_set_intersection2-{F}(V1,V0,V2), V2 == V0 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #31: input, references = 4, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), V1 == V0 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #32: input, references = 7, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V1) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #33: input, references = 4, size of lhs = 4:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), empty-{F}(V2), V2 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #34: input, references = 7, size of lhs = 2:
% 1.76/1.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_set_intersection2-{T}(V0,V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #35: input, references = 4, size of lhs = 0:
% 1.76/1.96 FALSE | EXISTS V0: P_empty_set-{T}(V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 number of initial rules = 36
% 1.76/1.96
% 1.76/1.96 Simplifiers:
% 1.76/1.96 #36: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V2), P_set_intersection2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #37: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), P_empty_set-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #38: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp3-{F}(V0,V1,V2), pppp3-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #39: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #40: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp5-{F}(V0), pppp5-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #41: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp6-{F}(V0), pppp6-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #42: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #43: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #44: unsound, references = 3, size of lhs = 3:
% 1.76/1.96 pppp8-{F}(V0), pppp8-{F}(V1), V0 == V1 | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 number of simplifiers = 9
% 1.76/1.96
% 1.76/1.96 Learnt:
% 1.76/1.96 #46: exists( #34, #21 ), references = 1, size of lhs = 2:
% 1.76/1.96 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V1,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #48: exists( #34, #30 ), references = 2, size of lhs = 2:
% 1.76/1.96 P_empty_set-{F}(V0), #-{F} V1 | P_set_intersection2-{T}(V1,V0,V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #50: exists( #34, #1 ), references = 3, size of lhs = 1:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V2) | P_set_intersection2-{T}(V1,V0,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #52: disj( #13, input ), references = 1, size of lhs = 3:
% 1.76/1.96 P_set_intersection2-{F}(V0,V1,V2), #-{F} V3, V3 == V2 | pppp10-{T}(V0,V1,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #55: disj( #16, input ), references = 1, size of lhs = 1:
% 1.76/1.96 pppp4-{F}(V0,V1,V2,V2) | pppp1-{T}(V0,V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #56: disj( #16, input ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V3,V1,V4) | pppp1-{T}(V2,V3,V4)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #73: disj( #16, #17+#15 ), references = 1, size of lhs = 2:
% 1.76/1.96 pppp4-{F}(V0,V1,V0,V2), pppp4-{F}(V0,V1,V3,V2) | in-{T}(V2,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #74: disj( #16, #18+#32 ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V2,V1,V3,V4) | in-{T}(V4,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #81: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 1.76/1.96 in-{F}(V0,V1) | pppp9-{T}(V1,V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #82: disj( #5, #4+#15 ), references = 1, size of lhs = 3:
% 1.76/1.96 in-{F}(V0,V1), pppp1-{F}(V2,V3,V0), pppp4-{F}(V2,V3,V4,V0) | pppp9-{T}(V1,V4)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #83: disj( #5, #4+#32 ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), in-{F}(V2,V3) | pppp9-{T}(V3,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #87: exists( #6, #84 ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), pppp9-{F}(V1,V2) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #89: disj( #5, exists( #6, #84 ) ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), #-{F} V2 | pppp0-{T}(V1,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #101: mergings( V0 == V2; #98 ), references = 1, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | pppp5-{T}(V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #103: mergings( V0 == V2; #99 ), references = 1, size of lhs = 2:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1) | pppp5-{T}(V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #148: exists( #28, #146 ), references = 1, size of lhs = 3:
% 1.76/1.96 pppp8-{F}(V0), P_empty_set-{F}(V0), subset-{F}(V0,V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #169: disj( #16, input ), references = 1, size of lhs = 2:
% 1.76/1.96 in-{F}(V0,V1), pppp4-{F}(V2,V3,V0,V1) | pppp1-{T}(V2,V3,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #228: disj( #16, input ), references = 1, size of lhs = 3:
% 1.76/1.96 pppp1-{F}(V0,V1,V2), pppp4-{F}(V0,V1,V3,V2), pppp4-{F}(V4,V5,V3,V2) | pppp1-{T}(V4,V5,V2)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #233: disj( #5, #3+#29 ), references = 1, size of lhs = 2:
% 1.76/1.96 pppp7-{F}(V0,V1), P_set_intersection2-{F}(V0,V1,V2) | pppp9-{T}(V2,V0)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #237: disj( #16, #11+#17+#0 ), references = 1, size of lhs = 3:
% 1.76/1.96 in-{F}(V0,V1), pppp2-{F}(V0,V2,V3), pppp4-{F}(V4,V5,V3,V1) | pppp1-{T}(V4,V5,V1)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #261: disj( #16, #18+#15 ), references = 1, size of lhs = 2:
% 1.76/1.96 pppp4-{F}(V0,V1,V1,V2), pppp4-{F}(V0,V1,V3,V2) | in-{T}(V2,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #262: disj( #16, #17+#32 ), references = 1, size of lhs = 3:
% 1.76/1.96 P_empty_set-{F}(V0), empty-{F}(V1), pppp4-{F}(V1,V2,V3,V4) | in-{T}(V4,V3)
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #306: exists( #6, #304 ), references = 1, size of lhs = 2:
% 1.76/1.96 pppp9-{F}(V0,V1), pppp2-{F}(V2,V1,V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #311: exists( #34, #309 ), references = 1, size of lhs = 1:
% 1.76/1.96 pppp7-{F}(V0,V1) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #313: exists( #28, #310 ), references = 1, size of lhs = 1:
% 1.76/1.96 pppp8-{F}(V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #315: exists( #27, #312 ), references = 1, size of lhs = 1:
% 1.76/1.96 P_empty_set-{F}(V0) | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 #317: exists( #35, #314 ), references = 1, size of lhs = 0:
% 1.76/1.96 FALSE | FALSE
% 1.76/1.96 (used 0 times, uses = {})
% 1.76/1.96
% 1.76/1.96 number of learnt formulas = 27
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96
% 1.76/1.96 randbase = 1
%------------------------------------------------------------------------------