%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:03:04 EDT 2022
% Result : Unsatisfiable 1.82s 2.03s
% Output : Refutation 1.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP048-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jul 22 15:03:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.82/2.03 GeoParameters:
% 1.82/2.03
% 1.82/2.03 tptp_input = 1
% 1.82/2.03 tptp_output = 0
% 1.82/2.03 nonempty = 1
% 1.82/2.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 RuleSystem INPUT:
% 1.82/2.03
% 1.82/2.03 Initial Rules:
% 1.82/2.03 #0: input, references = 12, size of lhs = 2:
% 1.82/2.03 P_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #1: input, references = 15, size of lhs = 2:
% 1.82/2.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | product-{T}(V2,V1,V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #2: input, references = 3, size of lhs = 2:
% 1.82/2.03 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #3: input, references = 9, size of lhs = 3:
% 1.82/2.03 P_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #4: input, references = 18, size of lhs = 4:
% 1.82/2.03 P_identity-{F}(V0), product-{F}(V3,V1,V2), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #5: input, references = 13, size of lhs = 4:
% 1.82/2.03 P_identity-{F}(V0), product-{F}(V5,V1,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V2) | product-{T}(V3,V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #6: input, references = 8, size of lhs = 3:
% 1.82/2.03 P_identity-{F}(V0), equalish-{F}(V4,V1), product-{F}(V3,V2,V4) | product-{T}(V3,V2,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #7: input, references = 5, size of lhs = 3:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | equalish-{T}(V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #8: input, references = 5, size of lhs = 6:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V2,V4), equalish-{F}(V3,V4) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #9: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_identity-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #10: input, references = 15, size of lhs = 1:
% 1.82/2.03 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #11: input, references = 3, size of lhs = 2:
% 1.82/2.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #12: input, references = 4, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_a-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #13: input, references = 5, size of lhs = 0:
% 1.82/2.03 FALSE | EXISTS V0: P_b-{T}(V0)
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of initial rules = 14
% 1.82/2.03
% 1.82/2.03 Simplifiers:
% 1.82/2.03 #14: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #15: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #16: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #17: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #18: unsound, references = 3, size of lhs = 3:
% 1.82/2.03 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of simplifiers = 5
% 1.82/2.03
% 1.82/2.03 Learnt:
% 1.82/2.03 #30: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #24 ), references = 3, size of lhs = 10:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V2,V4), equalish-{F}(V0,V4), product-{F}(V0,V5,V6), product-{F}(V6,V7,V3), product-{F}(V5,V7,V8), product-{F}(V9,V8,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #44: mergings( V0 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #35 ), references = 2, size of lhs = 7:
% 1.82/2.03 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V1,V2), equalish-{F}(V0,V2), product-{F}(V0,V0,V3), product-{F}(V0,V3,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #87: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #79 ), references = 1, size of lhs = 12:
% 1.82/2.03 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_inverse-{F}(V1,V2), product-{F}(V0,V0,V3), product-{F}(V0,V3,V3), product-{F}(V4,V0,V0), product-{F}(V0,V5,V6), product-{F}(V4,V6,V7), product-{F}(V7,V8,V2), product-{F}(V9,V5,V10), product-{F}(V10,V8,V9) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #104: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #94 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), product-{F}(V0,V0,V1), product-{F}(V0,V0,V2), product-{F}(V0,V2,V2), product-{F}(V1,V3,V0), product-{F}(V0,V3,V4), equalish-{F}(V4,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #124: mergings( V1 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V2 == V15; #109 ), references = 1, size of lhs = 7:
% 1.82/2.03 P_a-{F}(V0), P_identity-{F}(V0), product-{F}(V0,V0,V0), product-{F}(V0,V0,V1), product-{F}(V0,V1,V1), product-{F}(V0,V0,V2), product-{F}(V0,V2,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #136: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #130 ), references = 1, size of lhs = 9:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V3), equalish-{F}(V0,V3), product-{F}(V0,V0,V4), product-{F}(V0,V4,V4), product-{F}(V1,V5,V0), product-{F}(V0,V5,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #153: mergings( V2 == V3, V3 == V4; #150 ), references = 2, size of lhs = 11:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V2,V4), product-{F}(V0,V5,V4), product-{F}(V6,V5,V6), product-{F}(V0,V7,V8), product-{F}(V8,V9,V3), product-{F}(V7,V9,V10), product-{F}(V11,V10,V11) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #162: mergings( V2 == V3, V3 == V4, V4 == V5; #158 ), references = 1, size of lhs = 8:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V3), product-{F}(V0,V4,V3), product-{F}(V5,V4,V5), product-{F}(V0,V6,V0), product-{F}(V1,V6,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #171: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V0; #166 ), references = 1, size of lhs = 5:
% 1.82/2.03 P_identity-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), product-{F}(V0,V2,V0), product-{F}(V1,V2,V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #310: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #302 ), references = 1, size of lhs = 14:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V1,V3), P_inverse-{F}(V2,V4), equalish-{F}(V5,V4), product-{F}(V6,V0,V5), product-{F}(V7,V8,V6), product-{F}(V7,V9,V3), product-{F}(V0,V10,V11), product-{F}(V8,V11,V12), product-{F}(V12,V13,V9), product-{F}(V14,V10,V15), product-{F}(V15,V13,V14) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #322: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #313 ), references = 2, size of lhs = 9:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V3), product-{F}(V0,V1,V4), product-{F}(V5,V4,V0), product-{F}(V0,V5,V6), product-{F}(V6,V0,V7), equalish-{F}(V7,V3) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #353: mergings( V2 == V3, V3 == V4, V4 == V5; #348 ), references = 1, size of lhs = 13:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_inverse-{F}(V2,V3), product-{F}(V0,V1,V4), product-{F}(V5,V4,V0), product-{F}(V0,V5,V6), equalish-{F}(V7,V3), product-{F}(V0,V8,V9), product-{F}(V6,V9,V10), product-{F}(V10,V11,V7), product-{F}(V12,V8,V13), product-{F}(V13,V11,V12) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #362: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #357 ), references = 2, size of lhs = 5:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V0,V1,V2), product-{F}(V0,V2,V2) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #372: mergings( V1 == V3, V3 == V4, V2 == V5; #368 ), references = 1, size of lhs = 3:
% 1.82/2.03 P_identity-{F}(V0), P_a-{F}(V1), product-{F}(V0,V1,V1) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #377: mergings( V1 == V2, V2 == V3; #374 ), references = 1, size of lhs = 1:
% 1.82/2.03 P_identity-{F}(V0) | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 #379: exists( #9, #374 ), references = 1, size of lhs = 0:
% 1.82/2.03 FALSE | FALSE
% 1.82/2.03 (used 0 times, uses = {})
% 1.82/2.03
% 1.82/2.03 number of learnt formulas = 16
% 1.82/2.03
% 1.82/2.03
% 1.82/2.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/2.03
% 1.82/2.03 randbase = 1
%------------------------------------------------------------------------------