%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP182-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 06:03:28 EDT 2022
% Result : Unsatisfiable 0.68s 0.87s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP182-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 14:28:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.68/0.87 GeoParameters:
% 0.68/0.87
% 0.68/0.87 tptp_input = 1
% 0.68/0.87 tptp_output = 0
% 0.68/0.87 nonempty = 1
% 0.68/0.87 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.87 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.68/0.87
% 0.68/0.87
% 0.68/0.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.87
% 0.68/0.87 RuleSystem INPUT:
% 0.68/0.87
% 0.68/0.87 Initial Rules:
% 0.68/0.87 #0: input, references = 4, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #1: input, references = 4, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #2: input, references = 4, size of lhs = 6:
% 0.68/0.87 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V6,V7), V5 == V7 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #3: input, references = 4, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #4: input, references = 4, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #5: input, references = 3, size of lhs = 6:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_greatest_lower_bound-{F}(V1,V4,V5), P_greatest_lower_bound-{F}(V1,V2,V6), P_greatest_lower_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #6: input, references = 3, size of lhs = 6:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_least_upper_bound-{F}(V1,V4,V5), P_least_upper_bound-{F}(V1,V2,V6), P_least_upper_bound-{F}(V6,V3,V7), V5 == V7 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #7: input, references = 4, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #8: input, references = 4, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #9: input, references = 4, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #10: input, references = 4, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #11: input, references = 4, size of lhs = 7:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #12: input, references = 4, size of lhs = 7:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #13: input, references = 3, size of lhs = 7:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_least_upper_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #14: input, references = 3, size of lhs = 7:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V2,V3,V4), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V2,V1,V6), P_multiply-{F}(V3,V1,V7), P_greatest_lower_bound-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #15: input, references = 4, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), V1 == V0 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #16: input, references = 4, size of lhs = 5:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_inverse-{F}(V3,V4), V4 == V2 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #17: input, references = 4, size of lhs = 8:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V4), P_inverse-{F}(V4,V5), P_inverse-{F}(V3,V6), P_inverse-{F}(V2,V7), P_multiply-{F}(V6,V7,V8), V5 == V8 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #18: input, references = 4, size of lhs = 5:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2), P_greatest_lower_bound-{F}(V2,V0,V3), P_least_upper_bound-{F}(V0,V3,V0) | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #19: input, references = 5, size of lhs = 2:
% 0.68/0.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #20: input, references = 4, size of lhs = 0:
% 0.68/0.87 FALSE | EXISTS V0: P_identity-{T}(V0)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #21: input, references = 5, size of lhs = 1:
% 0.68/0.87 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #22: input, references = 7, size of lhs = 2:
% 0.68/0.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #23: input, references = 5, size of lhs = 2:
% 0.68/0.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #24: input, references = 4, size of lhs = 0:
% 0.68/0.87 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 number of initial rules = 25
% 0.68/0.87
% 0.68/0.87 Simplifiers:
% 0.68/0.87 #25: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #26: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #27: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #28: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #29: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #30: unsound, references = 3, size of lhs = 3:
% 0.68/0.87 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 number of simplifiers = 6
% 0.68/0.87
% 0.68/0.87 Learnt:
% 0.68/0.87 #32: exists( #21, #15 ), references = 1, size of lhs = 1:
% 0.68/0.87 P_identity-{F}(V0) | P_inverse-{T}(V0,V0)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #35: exists( #23, #7 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #36: exists( #23, #9 ), references = 2, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #39: exists( #22, #8 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #40: exists( #22, #10 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #42: exists( #22, #12 ), references = 1, size of lhs = 5:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #45: exists( #22, #3 ), references = 2, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #47: exists( #21, #16 ), references = 1, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3) | P_inverse-{T}(V3,V2)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #51: exists( #19, #0 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #52: exists( #19, #1 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #55: exists( #19, #2 ), references = 1, size of lhs = 4:
% 0.68/0.87 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_multiply-{T}(V1,V6,V5)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #56: exists( #19, #17 ), references = 1, size of lhs = 6:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_inverse-{F}(V5,V6), P_inverse-{F}(V4,V7) | P_multiply-{T}(V3,V7,V6)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #65: exists( #23, #4 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #66: exists( #23, #11 ), references = 1, size of lhs = 5:
% 0.68/0.87 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_least_upper_bound-{T}(V6,V7,V5)
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #97: mergings( V3 == V4, V4 == V0; #94 ), references = 1, size of lhs = 3:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1), P_a-{F}(V2) | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #101: mergings( V1 == V2, V2 == V3; #98 ), references = 1, size of lhs = 2:
% 0.68/0.87 P_identity-{F}(V0), P_inverse-{F}(V0,V1) | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 #104: exists( #20, #102 ), references = 1, size of lhs = 0:
% 0.68/0.87 FALSE | FALSE
% 0.68/0.87 (used 0 times, uses = {})
% 0.68/0.87
% 0.68/0.87 number of learnt formulas = 17
% 0.68/0.87
% 0.68/0.87
% 0.68/0.87 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.87
% 0.68/0.87 randbase = 1
%------------------------------------------------------------------------------