%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n027.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 06:07:51 EDT 2022
% Result : Unsatisfiable 5.34s 5.56s
% Output : Refutation 5.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n027.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 20:34:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.34/5.56 GeoParameters:
% 5.34/5.56
% 5.34/5.56 tptp_input = 1
% 5.34/5.56 tptp_output = 0
% 5.34/5.56 nonempty = 1
% 5.34/5.56 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/5.56 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.34/5.56
% 5.34/5.56
% 5.34/5.56 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/5.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/5.56
% 5.34/5.56 RuleSystem INPUT:
% 5.34/5.56
% 5.34/5.56 Initial Rules:
% 5.34/5.56 #0: input, references = 4, size of lhs = 2:
% 5.34/5.56 P_meet-{F}(V0,V0,V1), V1 == V0 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #1: input, references = 4, size of lhs = 2:
% 5.34/5.56 P_join-{F}(V0,V0,V1), V1 == V0 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #2: input, references = 3, size of lhs = 3:
% 5.34/5.56 P_join-{F}(V0,V1,V2), P_meet-{F}(V0,V2,V3), V3 == V0 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #3: input, references = 5, size of lhs = 3:
% 5.34/5.56 P_meet-{F}(V0,V1,V2), P_join-{F}(V0,V2,V3), V3 == V0 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #4: input, references = 4, size of lhs = 3:
% 5.34/5.56 P_meet-{F}(V0,V1,V2), P_meet-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #5: input, references = 4, size of lhs = 3:
% 5.34/5.56 P_join-{F}(V0,V1,V2), P_join-{F}(V1,V0,V3), V2 == V3 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #6: input, references = 3, size of lhs = 5:
% 5.34/5.56 P_meet-{F}(V0,V1,V3), P_meet-{F}(V3,V2,V4), P_meet-{F}(V1,V2,V5), P_meet-{F}(V0,V5,V6), V4 == V6 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #7: input, references = 4, size of lhs = 5:
% 5.34/5.56 P_join-{F}(V0,V1,V3), P_join-{F}(V3,V2,V4), P_join-{F}(V1,V2,V5), P_join-{F}(V0,V5,V6), V4 == V6 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #8: input, references = 5, size of lhs = 6:
% 5.34/5.56 P_join-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V0,V4), P_complement-{F}(V1,V5), P_meet-{F}(V4,V5,V6), V3 == V6 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #9: input, references = 4, size of lhs = 6:
% 5.34/5.56 P_meet-{F}(V0,V1,V2), P_complement-{F}(V2,V3), P_complement-{F}(V0,V4), P_complement-{F}(V1,V5), P_join-{F}(V4,V5,V6), V3 == V6 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #10: input, references = 4, size of lhs = 4:
% 5.34/5.56 P_n1-{F}(V0), P_complement-{F}(V1,V2), P_join-{F}(V2,V1,V3), V3 == V0 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #11: input, references = 4, size of lhs = 5:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_meet-{F}(V3,V2,V4), V4 == V1 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #12: input, references = 4, size of lhs = 5:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3), P_complement-{F}(V3,V4), V4 == V2 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #13: input, references = 4, size of lhs = 8:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V2,V3,V8), P_meet-{F}(V8,V5,V9), V7 == V9 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #14: input, references = 7, size of lhs = 8:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_join-{F}(V2,V6,V5) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #15: input, references = 9, size of lhs = 2:
% 5.34/5.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_meet-{T}(V0,V1,V2)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #16: input, references = 8, size of lhs = 2:
% 5.34/5.56 #-{F} V0, #-{F} V1 | EXISTS V2: P_join-{T}(V0,V1,V2)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #17: input, references = 11, size of lhs = 1:
% 5.34/5.56 #-{F} V0 | EXISTS V1: P_complement-{T}(V0,V1)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #18: input, references = 4, size of lhs = 0:
% 5.34/5.56 FALSE | EXISTS V0: P_n1-{T}(V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #19: input, references = 4, size of lhs = 0:
% 5.34/5.56 FALSE | EXISTS V0: P_n0-{T}(V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #20: input, references = 4, size of lhs = 0:
% 5.34/5.56 FALSE | EXISTS V0: P_a-{T}(V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #21: input, references = 5, size of lhs = 0:
% 5.34/5.56 FALSE | EXISTS V0: P_b-{T}(V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 number of initial rules = 22
% 5.34/5.56
% 5.34/5.56 Simplifiers:
% 5.34/5.56 #22: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_meet-{F}(V0,V1,V2), P_meet-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #23: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_join-{F}(V0,V1,V2), P_join-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #24: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_complement-{F}(V0,V1), P_complement-{F}(V0,V3), V1 == V3 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #25: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_n1-{F}(V0), P_n1-{F}(V1), V0 == V1 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #26: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_n0-{F}(V0), P_n0-{F}(V1), V0 == V1 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #27: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #28: unsound, references = 3, size of lhs = 3:
% 5.34/5.56 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 number of simplifiers = 7
% 5.34/5.56
% 5.34/5.56 Learnt:
% 5.34/5.56 #30: exists( #15, #11 ), references = 7, size of lhs = 3:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_meet-{T}(V3,V2,V1)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #33: exists( #15, #0 ), references = 1, size of lhs = 1:
% 5.34/5.56 #-{F} V0 | P_meet-{T}(V0,V0,V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #37: exists( #16, #1 ), references = 1, size of lhs = 1:
% 5.34/5.56 #-{F} V0 | P_join-{T}(V0,V0,V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #38: exists( #16, #3 ), references = 9, size of lhs = 1:
% 5.34/5.56 P_meet-{F}(V0,V1,V2) | P_join-{T}(V0,V2,V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #39: exists( #16, #9 ), references = 2, size of lhs = 4:
% 5.34/5.56 P_complement-{F}(V0,V1), P_meet-{F}(V0,V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V2,V5) | P_join-{T}(V1,V5,V4)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #44: exists( #15, #4 ), references = 9, size of lhs = 1:
% 5.34/5.56 P_meet-{F}(V0,V1,V2) | P_meet-{T}(V1,V0,V2)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #45: exists( #15, #8 ), references = 4, size of lhs = 4:
% 5.34/5.56 P_complement-{F}(V0,V1), P_join-{F}(V0,V2,V3), P_complement-{F}(V3,V4), P_complement-{F}(V2,V5) | P_meet-{T}(V1,V5,V4)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #48: exists( #16, #5 ), references = 7, size of lhs = 1:
% 5.34/5.56 P_join-{F}(V0,V1,V2) | P_join-{T}(V1,V0,V2)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #49: exists( #16, #10 ), references = 3, size of lhs = 2:
% 5.34/5.56 P_n1-{F}(V0), P_complement-{F}(V1,V2) | P_join-{T}(V2,V1,V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #57: mergings( V2 == V3; #55 ), references = 1, size of lhs = 2:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1) | P_complement-{T}(V1,V0)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #59: exists( #17, #12 ), references = 5, size of lhs = 3:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V2,V3) | P_complement-{T}(V3,V2)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #73: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #68 ), references = 1, size of lhs = 5:
% 5.34/5.56 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_b-{F}(V2), P_complement-{F}(V0,V3) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #79: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #74 ), references = 1, size of lhs = 4:
% 5.34/5.56 P_a-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_complement-{F}(V0,V2) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #100: mergings( V2 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #94 ), references = 1, size of lhs = 5:
% 5.34/5.56 P_b-{F}(V0), P_n1-{F}(V0), P_n0-{F}(V1), P_complement-{F}(V1,V0), P_a-{F}(V2) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #107: mergings( V2 == V4, V3 == V5; #104 ), references = 1, size of lhs = 4:
% 5.34/5.56 P_b-{F}(V0), P_n0-{F}(V0), P_n1-{F}(V1), P_a-{F}(V2) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #120: exists( #15, #118 ), references = 2, size of lhs = 6:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_join-{F}(V2,V3,V4), P_meet-{F}(V5,V4,V6), P_join-{F}(V2,V6,V7), P_join-{F}(V2,V5,V8) | P_meet-{T}(V4,V8,V7)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #130: exists( #17, #8 ), references = 3, size of lhs = 4:
% 5.34/5.56 P_complement-{F}(V0,V1), P_join-{F}(V0,V2,V3), P_complement-{F}(V2,V4), P_meet-{F}(V1,V4,V5) | P_complement-{T}(V3,V5)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #132: exists( #16, #7 ), references = 1, size of lhs = 3:
% 5.34/5.56 P_join-{F}(V0,V1,V2), P_join-{F}(V2,V3,V4), P_join-{F}(V1,V3,V5) | P_join-{T}(V0,V5,V4)
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #144: mergings( V3 == V5, V4 == V6; #141 ), references = 1, size of lhs = 15:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_meet-{F}(V3,V5,V6), P_complement-{F}(V7,V2), P_complement-{F}(V8,V5), P_complement-{F}(V9,V10), P_meet-{F}(V9,V7,V11), P_join-{F}(V12,V11,V8), P_complement-{F}(V12,V13), P_meet-{F}(V10,V13,V6), P_join-{F}(V12,V14,V7) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #148: mergings( V3 == V5, V4 == V6; #145 ), references = 1, size of lhs = 13:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V6,V3), P_complement-{F}(V7,V5), P_complement-{F}(V8,V2), P_meet-{F}(V6,V8,V9), P_join-{F}(V7,V9,V10), P_complement-{F}(V10,V5), P_join-{F}(V7,V11,V8) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #162: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #155 ), references = 1, size of lhs = 12:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_complement-{F}(V2,V3), P_b-{F}(V4), P_join-{F}(V2,V4,V5), P_complement-{F}(V6,V3), P_complement-{F}(V7,V2), P_meet-{F}(V6,V7,V1), P_complement-{F}(V8,V7), P_join-{F}(V8,V9,V5), P_complement-{F}(V9,V10) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #171: mergings( V11 == V13, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #163 ), references = 1, size of lhs = 9:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_complement-{F}(V2,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V4), P_meet-{F}(V5,V4,V1), P_complement-{F}(V3,V6) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #180: mergings( V11 == V13, V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #172 ), references = 1, size of lhs = 8:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_complement-{F}(V2,V4), P_complement-{F}(V4,V2), P_complement-{F}(V5,V4), P_meet-{F}(V5,V4,V1) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #194: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #184 ), references = 1, size of lhs = 4:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #205: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #195 ), references = 1, size of lhs = 3:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1), P_a-{F}(V2) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #216: mergings( V1 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #206 ), references = 1, size of lhs = 2:
% 5.34/5.56 P_n1-{F}(V0), P_n0-{F}(V1) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #223: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #217 ), references = 1, size of lhs = 1:
% 5.34/5.56 P_n1-{F}(V0) | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 #225: exists( #18, #217 ), references = 1, size of lhs = 0:
% 5.34/5.56 FALSE | FALSE
% 5.34/5.56 (used 0 times, uses = {})
% 5.34/5.56
% 5.34/5.56 number of learnt formulas = 28
% 5.34/5.56
% 5.34/5.56
% 5.34/5.56 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.34/5.56
% 5.34/5.56 randbase = 1
%------------------------------------------------------------------------------