%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : REL014+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:14:40 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL014+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 00:36:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.47/0.64 GeoParameters:
% 0.47/0.64
% 0.47/0.64 tptp_input = 1
% 0.47/0.64 tptp_output = 0
% 0.47/0.64 nonempty = 1
% 0.47/0.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 RuleSystem INPUT:
% 0.47/0.64
% 0.47/0.64 Initial Rules:
% 0.47/0.64 #0: input, references = 6, size of lhs = 3:
% 0.47/0.64 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #1: input, references = 5, size of lhs = 5:
% 0.47/0.64 P_join-{F}(V1,V2,V3), P_join-{F}(V0,V3,V4), P_join-{F}(V0,V1,V5), P_join-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #2: input, references = 3, size of lhs = 8:
% 0.47/0.64 P_complement-{F}(V0,V2), P_complement-{F}(V1,V3), P_join-{F}(V2,V3,V4), P_complement-{F}(V4,V5), P_join-{F}(V2,V1,V6), P_complement-{F}(V6,V7), P_join-{F}(V5,V7,V8), V0 == V8 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #3: input, references = 5, size of lhs = 6:
% 0.47/0.64 P_meet-{F}(V0,V1,V2), P_complement-{F}(V0,V3), P_complement-{F}(V1,V4), P_join-{F}(V3,V4,V5), P_complement-{F}(V5,V6), V2 == V6 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #4: input, references = 3, size of lhs = 5:
% 0.47/0.64 P_composition-{F}(V1,V2,V3), P_composition-{F}(V0,V3,V4), P_composition-{F}(V0,V1,V5), P_composition-{F}(V5,V2,V6), V4 == V6 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #5: input, references = 4, size of lhs = 3:
% 0.47/0.64 P_one-{F}(V0), P_composition-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #6: input, references = 4, size of lhs = 7:
% 0.47/0.64 P_one-{F}(V0), P_join-{F}(V1,V2,V4), P_composition-{F}(V4,V3,V5), P_composition-{F}(V1,V3,V6), P_composition-{F}(V2,V3,V7), P_join-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #7: input, references = 4, size of lhs = 4:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V2), P_converse-{F}(V2,V3), V3 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #8: input, references = 4, size of lhs = 7:
% 0.47/0.64 P_one-{F}(V0), P_join-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V1,V5), P_converse-{F}(V2,V6), P_join-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #9: input, references = 5, size of lhs = 7:
% 0.47/0.64 P_one-{F}(V0), P_composition-{F}(V1,V2,V3), P_converse-{F}(V3,V4), P_converse-{F}(V2,V5), P_converse-{F}(V1,V6), P_composition-{F}(V5,V6,V7), V4 == V7 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #10: input, references = 4, size of lhs = 8:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V3), P_composition-{F}(V1,V2,V4), P_complement-{F}(V4,V5), P_composition-{F}(V3,V5,V6), P_complement-{F}(V2,V7), P_join-{F}(V6,V7,V8), V8 == V7 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #11: input, references = 4, size of lhs = 5:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3), P_join-{F}(V2,V3,V4), V1 == V4 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #12: input, references = 4, size of lhs = 6:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4), P_meet-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #13: input, references = 4, size of lhs = 3:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2) | EXISTS V3: pppp0-{T}(V0,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #14: input, references = 4, size of lhs = 3:
% 0.47/0.64 pppp0-{F}(V0,V1), P_composition-{F}(V1,V0,V1), P_composition-{F}(V0,V1,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #15: input, references = 8, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #16: input, references = 5, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #17: input, references = 5, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #18: input, references = 5, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_composition-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #19: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_one-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #20: input, references = 8, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_converse-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #21: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_top-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #22: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_zero-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of initial rules = 23
% 0.47/0.64
% 0.47/0.64 Simplifiers:
% 0.47/0.64 #23: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #24: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #25: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #26: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_composition-{F}(V0,V1,V2), P_composition-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #27: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_one-{F}(V0), P_one-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #28: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_converse-{F}(V0,V1), P_converse-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #29: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_top-{F}(V0), P_top-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #30: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #31: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 pppp0-{F}(V0,V1), pppp0-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #32: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 pppp0-{F}(V0,V1), pppp0-{F}(V2,V3), V0 == V2 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of simplifiers = 10
% 0.47/0.64
% 0.47/0.64 Learnt:
% 0.47/0.64 #34: exists( #17, #12 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_zero-{F}(V2), P_complement-{F}(V3,V4) | P_meet-{T}(V3,V4,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #36: exists( #20, #7 ), references = 5, size of lhs = 2:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V2) | P_converse-{T}(V2,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #38: exists( #15, #8 ), references = 6, size of lhs = 5:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V2), P_join-{F}(V1,V3,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_join-{T}(V2,V6,V5)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #40: exists( #15, #11 ), references = 5, size of lhs = 3:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V3) | P_join-{T}(V2,V3,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #44: exists( #16, #42 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_one-{F}(V0), P_top-{F}(V1), P_complement-{F}(V2,V1), P_meet-{F}(V2,V1,V3) | P_complement-{T}(V1,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #49: exists( #15, #1 ), references = 4, size of lhs = 3:
% 0.47/0.64 P_join-{F}(V0,V1,V2), P_join-{F}(V3,V0,V4), P_join-{F}(V4,V1,V5) | P_join-{T}(V3,V2,V5)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #51: exists( #18, #5 ), references = 5, size of lhs = 2:
% 0.47/0.64 P_one-{F}(V0), #-{F} V1 | P_composition-{T}(V1,V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #54: exists( #15, #0 ), references = 3, size of lhs = 1:
% 0.47/0.64 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #77: exists( #18, #9 ), references = 2, size of lhs = 5:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V3,V1,V4), P_converse-{F}(V4,V5), P_converse-{F}(V3,V6) | P_composition-{T}(V2,V6,V5)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #114: mergings( V2 == V4, V5 == V6; #109 ), references = 1, size of lhs = 6:
% 0.47/0.64 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), V0 == V2, P_converse-{F}(V2,V0), P_join-{F}(V2,V3,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #118: mergings( V2 == V4, V5 == V6, V7 == V9; #110 ), references = 1, size of lhs = 7:
% 0.47/0.64 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V0), V0 == V3, P_join-{F}(V3,V4,V4), P_join-{F}(V2,V5,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #123: mergings( V9 == V11, V2 == V4, V4 == V5, V6 == V7; #111 ), references = 1, size of lhs = 8:
% 0.47/0.64 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V0,V2), P_converse-{F}(V3,V4), V4 == V2, P_join-{F}(V3,V5,V5), P_composition-{F}(V3,V6,V2), P_composition-{F}(V0,V6,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #137: mergings( V2 == V3, V3 == V4, V4 == V5; #131 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_top-{F}(V0), P_join-{F}(V0,V0,V0), P_one-{F}(V1) | P_converse-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #145: mergings( V2 == V0, V0 == V3; #142 ), references = 1, size of lhs = 1:
% 0.47/0.64 P_one-{F}(V0) | P_converse-{T}(V0,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #147: exists( #15, #10 ), references = 2, size of lhs = 6:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V1,V2), P_composition-{F}(V1,V3,V4), P_complement-{F}(V4,V5), P_composition-{F}(V2,V5,V6), P_complement-{F}(V3,V7) | P_join-{T}(V6,V7,V7)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #171: mergings( V2 == V3, V3 == V4, V4 == V5; #165 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_one-{F}(V0), P_complement-{F}(V1,V0), P_complement-{F}(V2,V3), P_composition-{F}(V3,V2,V1) | P_converse-{T}(V3,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #174: exists( #17, #3 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_complement-{F}(V0,V1), P_complement-{F}(V2,V3), P_join-{F}(V1,V3,V4), P_complement-{F}(V4,V5) | P_meet-{T}(V0,V2,V5)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #184: mergings( V2 == V3, V3 == V4; #181 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V0,V1), pppp0-{F}(V1,V2), P_composition-{F}(V2,V1,V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #190: mergings( V0 == V4, V4 == V5, V5 == V6; #186 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_top-{F}(V0), P_zero-{F}(V1), P_one-{F}(V2), P_converse-{F}(V2,V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #195: mergings( V2 == V3, V3 == V4, V4 == V5; #191 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_top-{F}(V0), P_one-{F}(V1), P_converse-{F}(V1,V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #200: mergings( V1 == V2, V2 == V3, V3 == V4; #196 ), references = 1, size of lhs = 2:
% 0.47/0.64 P_one-{F}(V0), P_converse-{F}(V0,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #203: exists( #19, #201 ), references = 1, size of lhs = 0:
% 0.47/0.64 FALSE | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of learnt formulas = 22
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 randbase = 1
%------------------------------------------------------------------------------