TSTP Solution File: FLD014-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:01:03 EDT 2022
% Result : Unsatisfiable 10.07s 10.24s
% Output : Refutation 10.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD014-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 10:18:25 EDT 2022
% 0.13/0.33 % CPUTime :
% 10.07/10.24 GeoParameters:
% 10.07/10.24
% 10.07/10.24 tptp_input = 1
% 10.07/10.24 tptp_output = 0
% 10.07/10.24 nonempty = 1
% 10.07/10.24 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/10.24 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 10.07/10.24
% 10.07/10.24
% 10.07/10.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/10.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/10.24
% 10.07/10.24 RuleSystem INPUT:
% 10.07/10.24
% 10.07/10.24 Initial Rules:
% 10.07/10.24 #0: input, references = 7, size of lhs = 3:
% 10.07/10.24 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #1: input, references = 6, size of lhs = 3:
% 10.07/10.24 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #2: input, references = 7, size of lhs = 2:
% 10.07/10.24 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #3: input, references = 5, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #4: input, references = 7, size of lhs = 2:
% 10.07/10.24 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #5: input, references = 3, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #6: input, references = 3, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #7: input, references = 3, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #8: input, references = 3, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #9: input, references = 3, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #10: input, references = 3, size of lhs = 6:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #11: input, references = 3, size of lhs = 6:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #12: input, references = 3, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #13: input, references = 4, size of lhs = 2:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #14: input, references = 5, size of lhs = 4:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #15: input, references = 3, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #16: input, references = 3, size of lhs = 2:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #17: input, references = 3, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #18: input, references = 3, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #19: input, references = 3, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #20: input, references = 6, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #21: input, references = 5, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #22: input, references = 5, size of lhs = 4:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #23: input, references = 6, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #24: input, references = 3, size of lhs = 5:
% 10.07/10.24 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)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #25: input, references = 5, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #26: input, references = 4, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #27: input, references = 4, size of lhs = 4:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #28: input, references = 4, size of lhs = 4:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | sum-{T}(V0,V2,V3)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #29: input, references = 5, size of lhs = 7:
% 10.07/10.24 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_additive_inverse-{F}(V2,V4), P_additive_inverse-{F}(V3,V5), sum-{F}(V0,V4,V5) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #30: input, references = 4, size of lhs = 0:
% 10.07/10.24 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #31: input, references = 6, size of lhs = 1:
% 10.07/10.24 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #32: input, references = 4, size of lhs = 0:
% 10.07/10.24 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #33: input, references = 3, size of lhs = 1:
% 10.07/10.24 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #34: input, references = 3, size of lhs = 2:
% 10.07/10.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #35: input, references = 3, size of lhs = 2:
% 10.07/10.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #36: input, references = 4, size of lhs = 0:
% 10.07/10.24 FALSE | EXISTS V0: P_a-{T}(V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #37: input, references = 4, size of lhs = 0:
% 10.07/10.24 FALSE | EXISTS V0: P_b-{T}(V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 number of initial rules = 38
% 10.07/10.24
% 10.07/10.24 Simplifiers:
% 10.07/10.24 #38: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #39: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #40: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #41: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #42: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #43: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #44: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #45: unsound, references = 3, size of lhs = 3:
% 10.07/10.24 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 number of simplifiers = 8
% 10.07/10.24
% 10.07/10.24 Learnt:
% 10.07/10.24 #89: mergings( V2 == V4, V3 == V5; #86 ), references = 1, size of lhs = 5:
% 10.07/10.24 defined-{F}(V0), P_a-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #132: mergings( V0 == V2, V2 == V4, V1 == V3, V3 == V5, V5 == V6; #126 ), references = 1, size of lhs = 6:
% 10.07/10.24 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V1) | less_or_equal-{T}(V0,V1)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #236: mergings( V0 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18; #220 ), references = 1, size of lhs = 13:
% 10.07/10.24 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V1,V4,V0), sum-{F}(V0,V4,V5), sum-{F}(V0,V6,V1), sum-{F}(V1,V6,V5), sum-{F}(V2,V7,V2), sum-{F}(V0,V8,V7), sum-{F}(V8,V2,V9), sum-{F}(V9,V2,V10), sum-{F}(V10,V1,V3) | less_or_equal-{T}(V1,V0)
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #355: mergings( V2 == V4, V4 == V5, V5 == V6, V3 == V7; #350 ), references = 1, size of lhs = 9:
% 10.07/10.24 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_additive_inverse-{F}(V3,V4), sum-{F}(V1,V5,V1), sum-{F}(V0,V5,V6), sum-{F}(V6,V4,V1) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #364: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V4 == V9; #358 ), references = 1, size of lhs = 8:
% 10.07/10.24 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V1,V4,V0) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #382: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V14, V2 == V5, V5 == V11, V11 == V16, V3 == V6, V6 == V8; #369 ), references = 2, size of lhs = 7:
% 10.07/10.24 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), sum-{F}(V1,V2,V1), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V1,V4), sum-{F}(V4,V0,V0) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #389: mergings( V1 == V3, V3 == V4, V2 == V6; #385 ), references = 1, size of lhs = 4:
% 10.07/10.24 P_additive_identity-{F}(V0), sum-{F}(V0,V1,V0), sum-{F}(V1,V0,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #394: mergings( V1 == V2; #392 ), references = 1, size of lhs = 1:
% 10.07/10.24 P_additive_identity-{F}(V0) | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 #396: exists( #30, #392 ), references = 1, size of lhs = 0:
% 10.07/10.24 FALSE | FALSE
% 10.07/10.24 (used 0 times, uses = {})
% 10.07/10.24
% 10.07/10.24 number of learnt formulas = 9
% 10.07/10.24
% 10.07/10.24
% 10.07/10.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/10.24
% 10.07/10.24 randbase = 1
%------------------------------------------------------------------------------