%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET956+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 06:17:00 EDT 2022
% Result : Theorem 0.77s 0.96s
% Output : Refutation 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET956+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 : Sat Jul 23 02:41:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/0.96 GeoParameters:
% 0.77/0.96
% 0.77/0.96 tptp_input = 1
% 0.77/0.96 tptp_output = 0
% 0.77/0.96 nonempty = 1
% 0.77/0.96 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.77/0.96
% 0.77/0.96
% 0.77/0.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96
% 0.77/0.96 RuleSystem INPUT:
% 0.77/0.96
% 0.77/0.96 Initial Rules:
% 0.77/0.96 #0: input, references = 5, size of lhs = 2:
% 0.77/0.96 in-{F}(V0,V1), in-{F}(V1,V0) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #1: input, references = 4, size of lhs = 3:
% 0.77/0.96 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #2: input, references = 4, size of lhs = 1:
% 0.77/0.96 subset-{F}(V0,V1) | pppp0-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #3: input, references = 5, size of lhs = 1:
% 0.77/0.96 pppp0-{F}(V0,V1) | subset-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #4: input, references = 6, size of lhs = 2:
% 0.77/0.96 pppp0-{F}(V0,V1), in-{F}(V2,V0) | in-{T}(V2,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #5: input, references = 7, size of lhs = 2:
% 0.77/0.96 #-{F} V0, #-{F} V1 | pppp0-{T}(V0,V1), pppp10-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #6: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp10-{F}(V0,V1) | EXISTS V2: pppp1-{T}(V0,V1,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #7: input, references = 4, size of lhs = 2:
% 0.77/0.96 pppp1-{F}(V0,V1,V2), in-{F}(V2,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #8: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp1-{F}(V0,V1,V2) | in-{T}(V2,V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #9: input, references = 5, size of lhs = 5:
% 0.77/0.96 P_ordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V3), P_singleton-{F}(V0,V4), P_unordered_pair-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #10: input, references = 3, size of lhs = 2:
% 0.77/0.96 P_ordered_pair-{F}(V0,V1,V2), empty-{F}(V2) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #11: input, references = 3, size of lhs = 0:
% 0.77/0.96 FALSE | EXISTS V0: pppp2-{T}(V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #12: input, references = 3, size of lhs = 1:
% 0.77/0.96 pppp2-{F}(V0) | empty-{T}(V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #13: input, references = 3, size of lhs = 0:
% 0.77/0.96 FALSE | EXISTS V0: pppp3-{T}(V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #14: input, references = 3, size of lhs = 2:
% 0.77/0.96 pppp3-{F}(V0), empty-{F}(V0) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #15: input, references = 4, size of lhs = 1:
% 0.77/0.96 #-{F} V0 | subset-{T}(V0,V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #16: input, references = 4, size of lhs = 3:
% 0.77/0.96 P_cartesian_product2-{F}(V0,V1,V3), subset-{F}(V5,V3), in-{F}(V2,V5) | EXISTS V4: pppp5-{T}(V0,V1,V2,V4)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #17: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp5-{F}(V0,V1,V2,V3) | EXISTS V4: pppp4-{T}(V0,V2,V4,V3)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #18: input, references = 3, size of lhs = 1:
% 0.77/0.96 pppp5-{F}(V0,V1,V2,V3) | in-{T}(V3,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #19: input, references = 4, size of lhs = 3:
% 0.77/0.96 pppp4-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4), V1 == V4 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #20: input, references = 3, size of lhs = 2:
% 0.77/0.96 pppp4-{F}(V0,V1,V2,V3), P_ordered_pair-{F}(V2,V3,V4) | in-{T}(V2,V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #21: input, references = 4, size of lhs = 0:
% 0.77/0.96 FALSE | EXISTS V0: pppp9-{T}(V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #22: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp9-{F}(V0) | EXISTS V1: pppp8-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #23: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp9-{F}(V0) | EXISTS V1: pppp7-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #24: input, references = 4, size of lhs = 2:
% 0.77/0.96 pppp8-{F}(V0,V1), subset-{F}(V0,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #25: input, references = 4, size of lhs = 3:
% 0.77/0.96 pppp8-{F}(V0,V1), P_ordered_pair-{F}(V2,V3,V4), in-{F}(V4,V0) | in-{T}(V4,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #26: input, references = 4, size of lhs = 1:
% 0.77/0.96 pppp7-{F}(V0,V1) | EXISTS V2: pppp6-{T}(V0,V1,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #27: input, references = 6, size of lhs = 2:
% 0.77/0.96 pppp6-{F}(V0,V1,V2), P_cartesian_product2-{F}(V2,V1,V3) | subset-{T}(V0,V3)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #28: input, references = 5, size of lhs = 2:
% 0.77/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_unordered_pair-{T}(V0,V1,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #29: input, references = 5, size of lhs = 2:
% 0.77/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_ordered_pair-{T}(V0,V1,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #30: input, references = 3, size of lhs = 1:
% 0.77/0.96 #-{F} V0 | EXISTS V1: P_singleton-{T}(V0,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #31: input, references = 4, size of lhs = 2:
% 0.77/0.96 #-{F} V0, #-{F} V1 | EXISTS V2: P_cartesian_product2-{T}(V0,V1,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 number of initial rules = 32
% 0.77/0.96
% 0.77/0.96 Simplifiers:
% 0.77/0.96 #32: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 empty-{F}(V0), empty-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #33: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 P_unordered_pair-{F}(V0,V1,V2), P_unordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #34: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 P_ordered_pair-{F}(V0,V1,V2), P_ordered_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #35: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 P_singleton-{F}(V0,V1), P_singleton-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #36: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 P_cartesian_product2-{F}(V0,V1,V2), P_cartesian_product2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #37: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp1-{F}(V0,V1,V2), pppp1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #38: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp2-{F}(V0), pppp2-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #39: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp3-{F}(V0), pppp3-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #40: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp4-{F}(V0,V1,V2,V3), pppp4-{F}(V0,V1,V6,V3), V2 == V6 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #41: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp5-{F}(V0,V1,V2,V3), pppp5-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #42: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #43: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp6-{F}(V0,V1,V2), pppp6-{F}(V0,V4,V5), V1 == V4 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #44: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp6-{F}(V0,V1,V2), pppp6-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #45: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp7-{F}(V0,V1), pppp7-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #46: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp7-{F}(V0,V1), pppp7-{F}(V2,V3), V0 == V2 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #47: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp8-{F}(V0,V1), pppp8-{F}(V0,V3), V1 == V3 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #48: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp8-{F}(V0,V1), pppp8-{F}(V2,V3), V0 == V2 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #49: unsound, references = 3, size of lhs = 3:
% 0.77/0.96 pppp9-{F}(V0), pppp9-{F}(V1), V0 == V1 | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 number of simplifiers = 18
% 0.77/0.96
% 0.77/0.96 Learnt:
% 0.77/0.96 #51: exists( #28, #1 ), references = 1, size of lhs = 1:
% 0.77/0.96 P_unordered_pair-{F}(V0,V1,V2) | P_unordered_pair-{T}(V1,V0,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #53: exists( #29, #9 ), references = 1, size of lhs = 3:
% 0.77/0.96 P_singleton-{F}(V0,V1), P_unordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V3,V1,V4) | P_ordered_pair-{T}(V0,V2,V4)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #68: disj( #5, #4+#0 ), references = 1, size of lhs = 1:
% 0.77/0.96 in-{F}(V0,V1) | pppp10-{T}(V1,V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #122: exists( #29, #19 ), references = 2, size of lhs = 1:
% 0.77/0.96 pppp4-{F}(V0,V1,V2,V3) | P_ordered_pair-{T}(V2,V3,V1)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #126: exists( #17, #124 ), references = 1, size of lhs = 4:
% 0.77/0.96 pppp8-{F}(V0,V1), in-{F}(V2,V0), pppp1-{F}(V3,V1,V2), pppp5-{F}(V4,V5,V2,V6) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #128: exists( #16, #125 ), references = 2, size of lhs = 6:
% 0.77/0.96 subset-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V3), pppp8-{F}(V3,V4), pppp1-{F}(V5,V4,V2), P_cartesian_product2-{F}(V6,V7,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #132: exists( #6, #130 ), references = 2, size of lhs = 5:
% 0.77/0.96 pppp10-{F}(V0,V1), pppp0-{F}(V0,V2), pppp8-{F}(V2,V1), subset-{F}(V0,V3), P_cartesian_product2-{F}(V4,V5,V3) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #142: disj( #5, exists( #6, #130 ) ), references = 2, size of lhs = 4:
% 0.77/0.96 pppp0-{F}(V0,V1), pppp8-{F}(V1,V2), subset-{F}(V0,V3), P_cartesian_product2-{F}(V4,V5,V3) | pppp0-{T}(V0,V2)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #146: exists( #22, #144 ), references = 3, size of lhs = 4:
% 0.77/0.96 pppp9-{F}(V0), pppp0-{F}(V0,V0), subset-{F}(V0,V1), P_cartesian_product2-{F}(V2,V3,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #150: disj( #5, #3+#146 ), references = 1, size of lhs = 3:
% 0.77/0.96 pppp9-{F}(V0), pppp0-{F}(V0,V0), P_cartesian_product2-{F}(V1,V2,V3) | pppp10-{T}(V0,V3)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #152: exists( #28, #9 ), references = 1, size of lhs = 3:
% 0.77/0.96 P_singleton-{F}(V0,V1), P_ordered_pair-{F}(V0,V2,V3), P_unordered_pair-{F}(V0,V2,V4) | P_unordered_pair-{T}(V4,V1,V3)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #177: disj( #5, #4+#0 ), references = 1, size of lhs = 2:
% 0.77/0.96 in-{F}(V0,V1), in-{F}(V1,V2) | pppp10-{T}(V2,V0)
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #199: exists( #31, #193 ), references = 1, size of lhs = 3:
% 0.77/0.96 pppp9-{F}(V0), pppp0-{F}(V0,V0), pppp6-{F}(V0,V1,V2) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #200: exists( #31, #194 ), references = 1, size of lhs = 4:
% 0.77/0.96 pppp10-{F}(V0,V1), pppp0-{F}(V0,V2), pppp8-{F}(V2,V1), pppp6-{F}(V0,V3,V4) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #201: exists( #31, #195 ), references = 1, size of lhs = 5:
% 0.77/0.96 in-{F}(V0,V1), in-{F}(V0,V2), pppp8-{F}(V2,V3), pppp1-{F}(V4,V3,V0), pppp6-{F}(V1,V5,V6) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #205: exists( #26, #196 ), references = 1, size of lhs = 3:
% 0.77/0.96 pppp9-{F}(V0), pppp0-{F}(V0,V0), pppp7-{F}(V0,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #206: exists( #26, #197 ), references = 1, size of lhs = 4:
% 0.77/0.96 pppp7-{F}(V0,V1), pppp10-{F}(V0,V2), pppp0-{F}(V0,V3), pppp8-{F}(V3,V2) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #207: exists( #26, #198 ), references = 1, size of lhs = 5:
% 0.77/0.96 pppp7-{F}(V0,V1), in-{F}(V2,V0), in-{F}(V2,V3), pppp8-{F}(V3,V4), pppp1-{F}(V5,V4,V2) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #210: exists( #23, #202 ), references = 2, size of lhs = 2:
% 0.77/0.96 pppp9-{F}(V0), pppp0-{F}(V0,V0) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #211: exists( #23, #203 ), references = 1, size of lhs = 4:
% 0.77/0.96 pppp9-{F}(V0), pppp10-{F}(V0,V1), pppp0-{F}(V0,V2), pppp8-{F}(V2,V1) | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 #215: exists( #21, #213 ), references = 1, size of lhs = 0:
% 0.77/0.96 FALSE | FALSE
% 0.77/0.96 (used 0 times, uses = {})
% 0.77/0.96
% 0.77/0.96 number of learnt formulas = 21
% 0.77/0.96
% 0.77/0.96
% 0.77/0.96 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.96
% 0.77/0.96 randbase = 1
%------------------------------------------------------------------------------