%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD057-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 06:01:13 EDT 2022
% Result : Unsatisfiable 7.31s 7.49s
% Output : Refutation 7.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD057-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n014.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 10:06:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 7.31/7.49 GeoParameters:
% 7.31/7.49
% 7.31/7.49 tptp_input = 1
% 7.31/7.49 tptp_output = 0
% 7.31/7.49 nonempty = 1
% 7.31/7.49 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/7.49 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.31/7.49
% 7.31/7.49
% 7.31/7.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/7.49 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/7.49
% 7.31/7.49 RuleSystem INPUT:
% 7.31/7.49
% 7.31/7.49 Initial Rules:
% 7.31/7.49 #0: input, references = 6, size of lhs = 3:
% 7.31/7.49 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #1: input, references = 10, size of lhs = 3:
% 7.31/7.49 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #2: input, references = 7, size of lhs = 2:
% 7.31/7.49 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #3: input, references = 4, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #4: input, references = 9, size of lhs = 2:
% 7.31/7.49 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #5: input, references = 4, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #6: input, references = 4, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #7: input, references = 4, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #8: input, references = 4, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #9: input, references = 3, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #10: input, references = 4, size of lhs = 6:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #11: input, references = 4, size of lhs = 6:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #12: input, references = 3, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #13: input, references = 4, size of lhs = 2:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #14: input, references = 4, size of lhs = 4:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #15: input, references = 4, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #16: input, references = 4, size of lhs = 2:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #17: input, references = 3, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #18: input, references = 5, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #19: input, references = 4, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #20: input, references = 4, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #21: input, references = 3, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #22: input, references = 4, size of lhs = 4:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #23: input, references = 5, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #24: input, references = 5, size of lhs = 5:
% 7.31/7.49 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)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #25: input, references = 4, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #26: input, references = 4, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V1) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #27: input, references = 4, size of lhs = 0:
% 7.31/7.49 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #28: input, references = 4, size of lhs = 1:
% 7.31/7.49 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #29: input, references = 4, size of lhs = 0:
% 7.31/7.49 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #30: input, references = 3, size of lhs = 1:
% 7.31/7.49 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #31: input, references = 5, size of lhs = 2:
% 7.31/7.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #32: input, references = 4, size of lhs = 2:
% 7.31/7.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 number of initial rules = 33
% 7.31/7.49
% 7.31/7.49 Simplifiers:
% 7.31/7.49 #33: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #34: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #35: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #36: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #37: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #38: unsound, references = 3, size of lhs = 3:
% 7.31/7.49 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 number of simplifiers = 6
% 7.31/7.49
% 7.31/7.49 Learnt:
% 7.31/7.49 #58: mergings( V0 == V2, V1 == V3; #55 ), references = 1, size of lhs = 4:
% 7.31/7.49 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1) | less_or_equal-{T}(V1,V0)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #180: mergings( V0 == V4, V4 == V5, V5 == V7, V6 == V1; #175 ), references = 1, size of lhs = 9:
% 7.31/7.49 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V2,V4), P_multiplicative_identity-{F}(V5), product-{F}(V4,V5,V1), product-{F}(V0,V0,V6), product-{F}(V1,V6,V3) | sum-{T}(V2,V0,V2)
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #389: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V10, V10 == V12, V12 == V16, V16 == V18, V18 == V20; #372 ), references = 1, size of lhs = 19:
% 7.31/7.49 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V2,V1), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V2,V5,V4), sum-{F}(V5,V2,V6), less_or_equal-{F}(V7,V8), sum-{F}(V9,V7,V2), sum-{F}(V9,V10,V6), sum-{F}(V8,V11,V2), sum-{F}(V11,V10,V3), sum-{F}(V12,V1,V13), product-{F}(V13,V0,V14), product-{F}(V12,V0,V15), sum-{F}(V16,V15,V9), sum-{F}(V16,V14,V11) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #417: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V4 == V7, V7 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V27; #395 ), references = 1, size of lhs = 26:
% 7.31/7.49 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), product-{F}(V6,V2,V0), product-{F}(V7,V2,V1), sum-{F}(V7,V6,V8), sum-{F}(V8,V3,V9), product-{F}(V9,V2,V10), sum-{F}(V4,V11,V4), sum-{F}(V4,V12,V11), sum-{F}(V12,V4,V13), sum-{F}(V0,V14,V15), sum-{F}(V1,V15,V16), sum-{F}(V16,V17,V18), sum-{F}(V14,V17,V19), sum-{F}(V18,V20,V4), less_or_equal-{F}(V20,V21), sum-{F}(V18,V22,V13), sum-{F}(V19,V10,V23), sum-{F}(V21,V23,V4), sum-{F}(V23,V22,V5) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #446: mergings( V3 == V5, V5 == V9, V9 == V10, V10 == V12, V12 == V14, V14 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V25, V25 == V26, V26 == V28, V28 == V30, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V21, V21 == V23, V23 == V27, V27 == V29, V29 == V31; #422 ), references = 1, size of lhs = 28:
% 7.31/7.49 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), defined-{F}(V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), sum-{F}(V2,V1,V8), sum-{F}(V8,V0,V9), sum-{F}(V3,V9,V10), sum-{F}(V0,V11,V0), sum-{F}(V10,V11,V12), sum-{F}(V12,V13,V6), less_or_equal-{F}(V13,V14), sum-{F}(V0,V5,V15), sum-{F}(V1,V15,V16), product-{F}(V16,V4,V5), sum-{F}(V14,V16,V6), sum-{F}(V16,V17,V7), sum-{F}(V12,V17,V18), sum-{F}(V19,V6,V18), sum-{F}(V6,V19,V20), sum-{F}(V6,V20,V6) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #485: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V28, V28 == V30, V30 == V32, V3 == V0, V0 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23, V23 == V25, V25 == V29, V29 == V31, V31 == V33; #453 ), references = 1, size of lhs = 14:
% 7.31/7.49 defined-{F}(V0), P_multiplicative_identity-{F}(V0), less_or_equal-{F}(V0,V1), sum-{F}(V0,V1,V0), sum-{F}(V1,V0,V0), P_additive_identity-{F}(V1), sum-{F}(V0,V2,V0), sum-{F}(V1,V2,V3), sum-{F}(V3,V1,V1), sum-{F}(V0,V4,V0), sum-{F}(V3,V4,V5), sum-{F}(V6,V1,V5), sum-{F}(V1,V6,V7), sum-{F}(V1,V7,V1) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #511: mergings( V1 == V2, V2 == 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, V15 == V16, V16 == V17, V17 == V18, V18 == V19; #492 ), references = 1, size of lhs = 1:
% 7.31/7.49 P_additive_identity-{F}(V0) | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 #513: exists( #27, #492 ), references = 1, size of lhs = 0:
% 7.31/7.49 FALSE | FALSE
% 7.31/7.49 (used 0 times, uses = {})
% 7.31/7.49
% 7.31/7.49 number of learnt formulas = 8
% 7.31/7.49
% 7.31/7.49
% 7.31/7.49 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.31/7.49
% 7.31/7.49 randbase = 1
%------------------------------------------------------------------------------