TSTP Solution File: GRP156-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 06:03:24 EDT 2022
% Result : Unsatisfiable 6.82s 7.03s
% Output : Refutation 6.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP156-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 14:44:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.82/7.03 GeoParameters:
% 6.82/7.03
% 6.82/7.03 tptp_input = 1
% 6.82/7.03 tptp_output = 0
% 6.82/7.03 nonempty = 1
% 6.82/7.03 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.03 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.82/7.03
% 6.82/7.03
% 6.82/7.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.03 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.03
% 6.82/7.03 RuleSystem INPUT:
% 6.82/7.03
% 6.82/7.03 Initial Rules:
% 6.82/7.03 #0: input, references = 4, size of lhs = 3:
% 6.82/7.03 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #1: input, references = 4, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2), P_multiply-{F}(V2,V1,V3), V3 == V0 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #2: input, references = 6, size of lhs = 6:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #3: input, references = 4, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #4: input, references = 4, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V2,V1,V4), V3 == V4 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #5: input, references = 4, size of lhs = 6:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #6: input, references = 4, size of lhs = 6:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #7: input, references = 4, size of lhs = 3:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #8: input, references = 4, size of lhs = 3:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V1,V2), V2 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #9: input, references = 4, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #10: input, references = 4, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V1,V3,V4), V4 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #11: input, references = 6, size of lhs = 7:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #12: input, references = 4, size of lhs = 7:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #13: input, references = 5, size of lhs = 7:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #14: input, references = 5, size of lhs = 7:
% 6.82/7.03 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
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #15: input, references = 4, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), V3 == V2 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #16: input, references = 5, size of lhs = 8:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_greatest_lower_bound-{F}(V5,V6,V5) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #17: input, references = 16, size of lhs = 2:
% 6.82/7.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #18: input, references = 4, size of lhs = 0:
% 6.82/7.03 FALSE | EXISTS V0: P_identity-{T}(V0)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #19: input, references = 4, size of lhs = 1:
% 6.82/7.03 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #20: input, references = 8, size of lhs = 2:
% 6.82/7.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_greatest_lower_bound-{T}(V0,V1,V2)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #21: input, references = 8, size of lhs = 2:
% 6.82/7.03 #-{F} V0, #-{F} V1 | EXISTS V2: P_least_upper_bound-{T}(V0,V1,V2)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #22: input, references = 4, size of lhs = 0:
% 6.82/7.03 FALSE | EXISTS V0: P_a-{T}(V0)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #23: input, references = 5, size of lhs = 0:
% 6.82/7.03 FALSE | EXISTS V0: P_b-{T}(V0)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #24: input, references = 6, size of lhs = 0:
% 6.82/7.03 FALSE | EXISTS V0: P_c-{T}(V0)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 number of initial rules = 25
% 6.82/7.03
% 6.82/7.03 Simplifiers:
% 6.82/7.03 #25: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #26: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #27: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #28: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_greatest_lower_bound-{F}(V0,V1,V2), P_greatest_lower_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #29: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #30: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #31: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #32: unsound, references = 3, size of lhs = 3:
% 6.82/7.03 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 number of simplifiers = 8
% 6.82/7.03
% 6.82/7.03 Learnt:
% 6.82/7.03 #34: exists( #17, #1 ), references = 2, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_inverse-{F}(V1,V2) | P_multiply-{T}(V2,V1,V0)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #36: exists( #17, #0 ), references = 6, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #38: exists( #20, #8 ), references = 2, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), #-{F} V1 | P_greatest_lower_bound-{T}(V1,V1,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #41: exists( #21, #7 ), references = 1, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), #-{F} V1 | P_least_upper_bound-{T}(V1,V1,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #42: exists( #21, #9 ), references = 1, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V1,V3,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #48: mergings( V1 == V2, V2 == V3; #45 ), references = 1, size of lhs = 4:
% 6.82/7.03 P_a-{F}(V0), P_b-{F}(V0), P_identity-{F}(V0), P_least_upper_bound-{F}(V0,V0,V1) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #50: exists( #17, #2 ), references = 2, size of lhs = 4:
% 6.82/7.03 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)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #55: mergings( V2 == V3; #53 ), references = 2, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V3) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #59: exists( #20, #3 ), references = 1, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V2,V1,V3)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #68: exists( #21, #4 ), references = 2, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_least_upper_bound-{T}(V2,V1,V3)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #69: exists( #21, #11 ), references = 3, size of lhs = 5:
% 6.82/7.03 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)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #85: exists( #21, #13 ), references = 4, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_least_upper_bound-{T}(V6,V7,V5)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #88: exists( #20, #10 ), references = 2, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3) | P_greatest_lower_bound-{T}(V1,V3,V1)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #95: exists( #17, #11 ), references = 1, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_least_upper_bound-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #97: exists( #17, #13 ), references = 1, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_least_upper_bound-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #110: mergings( V3 == V4, V4 == V5; #107 ), references = 1, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0, P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V1,V3) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #126: exists( #21, #15 ), references = 2, size of lhs = 3:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2) | P_least_upper_bound-{T}(V1,V2,V2)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #152: exists( #17, #2 ), references = 2, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V1,V5,V6) | P_multiply-{T}(V3,V4,V6)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #160: mergings( V3 == V4, V4 == V5, V5 == V6; #156 ), references = 2, size of lhs = 10:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V6,V8,V2), P_multiply-{F}(V8,V4,V9), P_least_upper_bound-{F}(V7,V9,V9) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #171: mergings( V3 == V4, V4 == V5; #168 ), references = 2, size of lhs = 12:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V10,V9,V2), P_least_upper_bound-{F}(V11,V9,V9), P_multiply-{F}(V11,V4,V12), P_multiply-{F}(V10,V12,V5) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #193: exists( #20, #5 ), references = 1, size of lhs = 4:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_greatest_lower_bound-{F}(V4,V3,V5), P_greatest_lower_bound-{F}(V4,V1,V6) | P_greatest_lower_bound-{T}(V6,V2,V5)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #201: mergings( V3 == V4, V4 == V5; #198 ), references = 1, size of lhs = 10:
% 6.82/7.03 P_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_least_upper_bound-{F}(V6,V2,V7), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V6,V4,V9), P_multiply-{F}(V1,V8,V10), P_multiply-{F}(V1,V9,V11), P_least_upper_bound-{F}(V11,V5,V12), V10 == V12 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #220: exists( #17, #171 ), references = 3, size of lhs = 11:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V8,V7,V5), P_least_upper_bound-{F}(V6,V9,V9), P_multiply-{F}(V8,V9,V2), P_multiply-{F}(V10,V11,V9) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #224: mergings( V1 == V2; #222 ), references = 1, size of lhs = 7:
% 6.82/7.03 P_a-{F}(V0), P_identity-{F}(V0), P_b-{F}(V1), P_least_upper_bound-{F}(V0,V1,V2), P_least_upper_bound-{F}(V0,V3,V3), P_multiply-{F}(V0,V3,V1), P_multiply-{F}(V4,V5,V3) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #230: mergings( V1 == V2, V2 == V3; #227 ), references = 1, size of lhs = 2:
% 6.82/7.03 P_a-{F}(V0), P_identity-{F}(V0) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #241: mergings( V3 == V4, V4 == V5; #238 ), references = 1, size of lhs = 10:
% 6.82/7.03 P_identity-{F}(V0), P_least_upper_bound-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_least_upper_bound-{F}(V7,V4,V8), P_multiply-{F}(V8,V1,V9), P_multiply-{F}(V7,V1,V10), P_least_upper_bound-{F}(V10,V5,V11), P_least_upper_bound-{F}(V9,V6,V12), V11 == V12 | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #260: exists( #20, #12 ), references = 1, size of lhs = 5:
% 6.82/7.03 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)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #261: exists( #20, #14 ), references = 1, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_greatest_lower_bound-{T}(V6,V7,V5)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #263: exists( #17, #14 ), references = 1, size of lhs = 5:
% 6.82/7.03 P_identity-{F}(V0), P_greatest_lower_bound-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_greatest_lower_bound-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #316: mergings( V3 == V4; #313 ), references = 1, size of lhs = 8:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_c-{F}(V4), P_least_upper_bound-{F}(V1,V5,V5), P_multiply-{F}(V0,V5,V2), P_multiply-{F}(V6,V7,V5) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #319: mergings( V1 == V2; #317 ), references = 2, size of lhs = 7:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_least_upper_bound-{F}(V1,V2,V3), P_least_upper_bound-{F}(V1,V4,V4), P_multiply-{F}(V0,V4,V2), P_multiply-{F}(V5,V6,V4) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #325: mergings( V1 == V2; #323 ), references = 1, size of lhs = 2:
% 6.82/7.03 P_identity-{F}(V0), P_a-{F}(V1) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #328: mergings( V1 == V2; #326 ), references = 1, size of lhs = 1:
% 6.82/7.03 P_identity-{F}(V0) | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 #330: exists( #18, #326 ), references = 1, size of lhs = 0:
% 6.82/7.03 FALSE | FALSE
% 6.82/7.03 (used 0 times, uses = {})
% 6.82/7.03
% 6.82/7.03 number of learnt formulas = 34
% 6.82/7.03
% 6.82/7.03
% 6.82/7.03 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.03
% 6.82/7.03 randbase = 1
%------------------------------------------------------------------------------