TSTP Solution File: FLD067-4 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 06:01:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD067-4 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 10:25:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.53 GeoParameters:
% 0.19/0.53
% 0.19/0.53 tptp_input = 1
% 0.19/0.53 tptp_output = 0
% 0.19/0.53 nonempty = 1
% 0.19/0.53 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 RuleSystem INPUT:
% 0.19/0.53
% 0.19/0.53 Initial Rules:
% 0.19/0.53 #0: input, references = 3, size of lhs = 3:
% 0.19/0.53 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #1: input, references = 3, size of lhs = 3:
% 0.19/0.53 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #2: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #3: input, references = 4, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #4: input, references = 4, size of lhs = 2:
% 0.19/0.53 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #5: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #6: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #7: input, references = 3, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #8: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #9: input, references = 3, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #10: input, references = 3, size of lhs = 6:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #11: input, references = 3, size of lhs = 6:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #12: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #13: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #14: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #15: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #16: input, references = 3, size of lhs = 2:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #17: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #18: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #19: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #20: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #21: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #22: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #23: input, references = 5, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #24: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #25: input, references = 3, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #26: input, references = 4, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #27: input, references = 3, size of lhs = 4:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #28: input, references = 3, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | defined-{T}(V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #29: input, references = 4, size of lhs = 5:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4) | less_or_equal-{T}(V2,V3)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #30: input, references = 5, size of lhs = 6:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_additive_inverse-{F}(V2,V5) | sum-{T}(V3,V5,V4)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #31: input, references = 5, size of lhs = 7:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_u-{F}(V4), P_additive_inverse-{F}(V2,V5), less_or_equal-{F}(V0,V4) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #32: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #33: input, references = 5, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #34: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #35: input, references = 3, size of lhs = 1:
% 0.19/0.53 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #36: input, references = 3, size of lhs = 2:
% 0.19/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #37: input, references = 3, size of lhs = 2:
% 0.19/0.53 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #38: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_a-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #39: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_b-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #40: input, references = 4, size of lhs = 0:
% 0.19/0.53 FALSE | EXISTS V0: P_u-{T}(V0)
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of initial rules = 41
% 0.19/0.53
% 0.19/0.53 Simplifiers:
% 0.19/0.53 #41: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #42: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #43: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #44: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #45: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #46: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #47: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #48: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #49: unsound, references = 3, size of lhs = 3:
% 0.19/0.53 P_u-{F}(V0), P_u-{F}(V1), V0 == V1 | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of simplifiers = 9
% 0.19/0.53
% 0.19/0.53 Learnt:
% 0.19/0.53 #64: mergings( V2 == V5, V5 == V7, V3 == V6, V6 == V8, V4 == V9; #58 ), references = 1, size of lhs = 6:
% 0.19/0.53 P_additive_identity-{F}(V0), P_u-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), less_or_equal-{F}(V3,V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #82: mergings( V2 == V5, V5 == V6, V6 == V8, V3 == V7, V7 == V9, V4 == V10; #75 ), references = 1, size of lhs = 7:
% 0.19/0.53 defined-{F}(V0), P_a-{F}(V0), less_or_equal-{F}(V0,V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_u-{F}(V4) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #93: mergings( V1 == V4, V4 == V7, V7 == V8, V8 == V10, V2 == V5, V5 == V9, V9 == V11, V6 == V12; #84 ), references = 1, size of lhs = 5:
% 0.19/0.53 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_b-{F}(V3) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #102: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V9, V2 == V5, V5 == V8, V8 == V10; #94 ), references = 2, size of lhs = 4:
% 0.19/0.53 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #107: mergings( V1 == V3, V2 == V4; #104 ), references = 1, size of lhs = 2:
% 0.19/0.53 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #110: mergings( V1 == V2; #108 ), references = 1, size of lhs = 1:
% 0.19/0.53 P_additive_identity-{F}(V0) | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 #112: exists( #32, #108 ), references = 1, size of lhs = 0:
% 0.19/0.53 FALSE | FALSE
% 0.19/0.53 (used 0 times, uses = {})
% 0.19/0.53
% 0.19/0.53 number of learnt formulas = 7
% 0.19/0.53
% 0.19/0.53
% 0.19/0.53 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53
% 0.19/0.53 randbase = 1
%------------------------------------------------------------------------------