%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD008-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 06:01:02 EDT 2022
% Result : Unsatisfiable 49.86s 50.08s
% Output : Refutation 49.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD008-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 10:04:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 49.86/50.08 GeoParameters:
% 49.86/50.08
% 49.86/50.08 tptp_input = 1
% 49.86/50.08 tptp_output = 0
% 49.86/50.08 nonempty = 1
% 49.86/50.08 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.86/50.08 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 49.86/50.08
% 49.86/50.08
% 49.86/50.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.86/50.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.86/50.08
% 49.86/50.08 RuleSystem INPUT:
% 49.86/50.08
% 49.86/50.08 Initial Rules:
% 49.86/50.08 #0: input, references = 14, size of lhs = 3:
% 49.86/50.08 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #1: input, references = 8, size of lhs = 3:
% 49.86/50.08 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #2: input, references = 9, size of lhs = 2:
% 49.86/50.08 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #3: input, references = 10, size of lhs = 3:
% 49.86/50.08 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #4: input, references = 12, size of lhs = 2:
% 49.86/50.08 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #5: input, references = 5, size of lhs = 4:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #6: input, references = 3, size of lhs = 4:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #7: input, references = 4, size of lhs = 3:
% 49.86/50.08 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #8: input, references = 3, size of lhs = 4:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #9: input, references = 4, size of lhs = 3:
% 49.86/50.08 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #10: input, references = 5, size of lhs = 6:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #11: input, references = 5, size of lhs = 6:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #12: input, references = 8, size of lhs = 5:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #13: input, references = 3, size of lhs = 2:
% 49.86/50.08 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #14: input, references = 9, size of lhs = 4:
% 49.86/50.08 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #15: input, references = 5, size of lhs = 5:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #16: input, references = 3, size of lhs = 2:
% 49.86/50.08 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #17: input, references = 3, size of lhs = 4:
% 49.86/50.08 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)
% 49.86/50.08 (used 0 times, uses = {})
% 49.86/50.08
% 49.86/50.08 #18: input, references = 8, size of lhs = 5:
% 49.86/50.08 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #19: input, references = 5, size of lhs = 5:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #20: input, references = 5, size of lhs = 4:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #21: input, references = 5, size of lhs = 4:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #22: input, references = 5, size of lhs = 4:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #23: input, references = 7, size of lhs = 5:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #24: input, references = 5, size of lhs = 5:
% 49.86/50.09 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)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #25: input, references = 4, size of lhs = 3:
% 49.86/50.09 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #26: input, references = 4, size of lhs = 3:
% 49.86/50.09 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #27: input, references = 4, size of lhs = 4:
% 49.86/50.09 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #28: input, references = 4, size of lhs = 10:
% 49.86/50.09 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_add-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8), sum-{F}(V0,V5,V8) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #29: input, references = 4, size of lhs = 0:
% 49.86/50.09 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #30: input, references = 10, size of lhs = 1:
% 49.86/50.09 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #31: input, references = 4, size of lhs = 0:
% 49.86/50.09 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #32: input, references = 3, size of lhs = 1:
% 49.86/50.09 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #33: input, references = 8, size of lhs = 2:
% 49.86/50.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #34: input, references = 5, size of lhs = 2:
% 49.86/50.09 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #35: input, references = 4, size of lhs = 0:
% 49.86/50.09 FALSE | EXISTS V0: P_a-{T}(V0)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #36: input, references = 4, size of lhs = 0:
% 49.86/50.09 FALSE | EXISTS V0: P_b-{T}(V0)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 number of initial rules = 37
% 49.86/50.09
% 49.86/50.09 Simplifiers:
% 49.86/50.09 #37: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #38: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #39: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #40: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #41: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #42: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #43: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #44: unsound, references = 3, size of lhs = 3:
% 49.86/50.09 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 number of simplifiers = 8
% 49.86/50.09
% 49.86/50.09 Learnt:
% 49.86/50.09 #113: mergings( V0 == V2, V2 == V4, V1 == V3, V3 == V5, V5 == V6, V6 == V7; #106 ), references = 1, size of lhs = 7:
% 49.86/50.09 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,V3), product-{F}(V3,V3,V1) | less_or_equal-{T}(V0,V1)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #458: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V4 == V6, V6 == V11; #450 ), references = 1, size of lhs = 15:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_additive_inverse-{F}(V4,V1), P_b-{F}(V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V4,V5,V6), P_additive_inverse-{F}(V6,V7), sum-{F}(V7,V8,V2), sum-{F}(V9,V10,V8), sum-{F}(V0,V9,V11), sum-{F}(V1,V11,V12), sum-{F}(V12,V10,V2) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #468: mergings( V2 == V4, V4 == V8, V8 == V9, V9 == V10, V10 == V11, V3 == V5, V5 == V12; #460 ), references = 2, size of lhs = 14:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_additive_inverse-{F}(V5,V2), P_b-{F}(V6), P_additive_inverse-{F}(V6,V1), P_add-{F}(V5,V6,V0), sum-{F}(V7,V8,V0), sum-{F}(V1,V7,V9), sum-{F}(V2,V9,V10), sum-{F}(V10,V8,V3) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #483: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V17; #471 ), references = 3, size of lhs = 13:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V1,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V2,V1,V6), sum-{F}(V3,V6,V7), sum-{F}(V7,V0,V4) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #503: mergings( V2 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V15, V15 == V16, V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17; #488 ), references = 1, size of lhs = 5:
% 49.86/50.09 P_b-{F}(V0), defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #514: mergings( V2 == V3, V3 == V7, V4 == V8; #510 ), references = 1, size of lhs = 10:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V0,V2), sum-{F}(V2,V1,V1), P_additive_identity-{F}(V3), sum-{F}(V3,V0,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #525: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V9, V4 == V7, V7 == V10; #518 ), references = 1, size of lhs = 9:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V2), P_multiplicative_identity-{F}(V3), sum-{F}(V0,V4,V1), sum-{F}(V2,V4,V1) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #591: mergings( V2 == V3, V3 == V7, V4 == V8; #587 ), references = 2, size of lhs = 14:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V5,V0,V3), sum-{F}(V2,V6,V5), sum-{F}(V3,V7,V8), sum-{F}(V0,V7,V9), sum-{F}(V9,V10,V1), sum-{F}(V8,V10,V6) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #605: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V14, V4 == V6, V6 == V10, V10 == V15; #596 ), references = 1, size of lhs = 15:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V3,V4), P_additive_identity-{F}(V5), sum-{F}(V3,V2,V5), P_multiplicative_identity-{F}(V6), sum-{F}(V2,V7,V4), sum-{F}(V5,V7,V5), sum-{F}(V4,V1,V8), sum-{F}(V8,V0,V3) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #956: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V19, V19 == V20, V20 == V24, V4 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V18, V18 == V25; #937 ), references = 2, size of lhs = 38:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_a-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V3,V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), sum-{F}(V7,V5,V5), sum-{F}(V2,V8,V7), less_or_equal-{F}(V8,V9), sum-{F}(V10,V8,V5), product-{F}(V11,V0,V10), sum-{F}(V1,V11,V12), product-{F}(V12,V0,V2), sum-{F}(V2,V13,V14), sum-{F}(V14,V15,V3), sum-{F}(V10,V13,V16), sum-{F}(V16,V15,V17), sum-{F}(V16,V18,V5), sum-{F}(V9,V19,V20), less_or_equal-{F}(V20,V21), sum-{F}(V21,V22,V21), sum-{F}(V23,V19,V22), sum-{F}(V20,V23,V24), sum-{F}(V24,V17,V25), sum-{F}(V4,V25,V24), product-{F}(V18,V26,V27), product-{F}(V14,V26,V28), sum-{F}(V28,V27,V29), sum-{F}(V29,V30,V8), product-{F}(V0,V26,V31), product-{F}(V32,V31,V21), sum-{F}(V32,V33,V1), product-{F}(V33,V31,V34), sum-{F}(V34,V30,V23) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #997: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V34, V34 == V35, V35 == V39, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V25, V25 == V27, V27 == V30, V30 == V32, V32 == V33, V33 == V40; #965 ), references = 2, size of lhs = 43:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V5,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V0), less_or_equal-{F}(V7,V1), P_multiplicative_identity-{F}(V8), sum-{F}(V9,V7,V7), sum-{F}(V4,V10,V9), less_or_equal-{F}(V10,V11), sum-{F}(V12,V10,V7), product-{F}(V13,V2,V12), sum-{F}(V3,V13,V14), product-{F}(V14,V2,V4), less_or_equal-{F}(V15,V7), less_or_equal-{F}(V16,V15), sum-{F}(V11,V17,V16), sum-{F}(V18,V17,V7), sum-{F}(V16,V18,V19), sum-{F}(V6,V20,V19), sum-{F}(V19,V21,V20), sum-{F}(V4,V22,V23), sum-{F}(V23,V24,V5), sum-{F}(V12,V22,V25), sum-{F}(V25,V24,V21), sum-{F}(V25,V26,V7), product-{F}(V26,V27,V28), product-{F}(V23,V27,V29), sum-{F}(V29,V28,V30), sum-{F}(V30,V31,V10), product-{F}(V2,V27,V32), product-{F}(V33,V0,V32), product-{F}(V34,V33,V1), sum-{F}(V34,V35,V3), product-{F}(V35,V32,V36), sum-{F}(V36,V31,V18) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1046: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V19, V19 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V28, V28 == V30, V30 == V33, V33 == V34, V34 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V45, V45 == V46, V46 == V50, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V44, V44 == V51; #1004 ), references = 1, size of lhs = 45:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_b-{F}(V5), defined-{F}(V6), P_a-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V6,V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V2), less_or_equal-{F}(V8,V3), P_multiplicative_identity-{F}(V9), sum-{F}(V10,V9,V4), product-{F}(V11,V3,V0), product-{F}(V12,V3,V1), sum-{F}(V12,V11,V13), product-{F}(V10,V13,V2), sum-{F}(V14,V8,V8), sum-{F}(V5,V15,V14), less_or_equal-{F}(V15,V16), sum-{F}(V17,V15,V8), product-{F}(V18,V3,V17), sum-{F}(V4,V18,V19), product-{F}(V19,V3,V5), less_or_equal-{F}(V20,V8), less_or_equal-{F}(V21,V20), sum-{F}(V16,V22,V21), sum-{F}(V23,V22,V8), sum-{F}(V21,V23,V24), sum-{F}(V7,V25,V24), sum-{F}(V24,V26,V25), sum-{F}(V1,V27,V23), sum-{F}(V0,V28,V27), sum-{F}(V29,V28,V15), sum-{F}(V5,V30,V31), sum-{F}(V31,V32,V6), sum-{F}(V17,V30,V33), sum-{F}(V33,V32,V26), sum-{F}(V33,V34,V8), product-{F}(V34,V13,V35), product-{F}(V31,V13,V36), sum-{F}(V36,V35,V29) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1064: mergings( V0 == V4, V4 == V11, V1 == V5, V5 == V12; #1058 ), references = 1, size of lhs = 40:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_b-{F}(V4), defined-{F}(V5), P_a-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V5,V6), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), sum-{F}(V9,V7,V7), product-{F}(V10,V2,V4), sum-{F}(V3,V11,V10), product-{F}(V11,V2,V12), sum-{F}(V0,V13,V0), sum-{F}(V4,V14,V9), sum-{F}(V12,V14,V7), sum-{F}(V1,V15,V14), sum-{F}(V0,V15,V16), sum-{F}(V16,V17,V1), sum-{F}(V18,V17,V13), sum-{F}(V1,V18,V19), sum-{F}(V6,V20,V19), sum-{F}(V19,V21,V20), sum-{F}(V4,V22,V23), sum-{F}(V23,V24,V5), sum-{F}(V12,V22,V25), sum-{F}(V25,V24,V21), sum-{F}(V25,V26,V7), product-{F}(V26,V27,V28), product-{F}(V23,V27,V29), sum-{F}(V29,V28,V30), sum-{F}(V30,V31,V14), product-{F}(V2,V27,V32), product-{F}(V33,V32,V0), sum-{F}(V33,V34,V3), product-{F}(V34,V32,V35), sum-{F}(V35,V31,V18) | less_or_equal-{T}(V0,V1)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1069: mergings( V0 == V4, V4 == V13, V1 == V5, V5 == V14; #1059 ), references = 1, size of lhs = 45:
% 49.86/50.09 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_b-{F}(V6), defined-{F}(V7), P_a-{F}(V7), defined-{F}(V8), P_additive_inverse-{F}(V7,V8), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V2), less_or_equal-{F}(V9,V3), P_multiplicative_identity-{F}(V10), sum-{F}(V11,V9,V9), product-{F}(V12,V4,V6), sum-{F}(V5,V13,V12), product-{F}(V13,V4,V14), less_or_equal-{F}(V15,V9), sum-{F}(V0,V16,V15), sum-{F}(V1,V16,V17), sum-{F}(V6,V17,V11), sum-{F}(V14,V17,V9), sum-{F}(V15,V18,V17), sum-{F}(V19,V18,V9), sum-{F}(V17,V19,V20), sum-{F}(V8,V21,V20), sum-{F}(V20,V22,V21), sum-{F}(V6,V23,V24), sum-{F}(V24,V25,V7), sum-{F}(V14,V23,V26), sum-{F}(V26,V25,V22), sum-{F}(V26,V27,V9), product-{F}(V27,V28,V29), product-{F}(V24,V28,V30), sum-{F}(V30,V29,V31), sum-{F}(V31,V32,V17), product-{F}(V4,V28,V33), product-{F}(V34,V2,V33), product-{F}(V35,V34,V3), sum-{F}(V35,V36,V5), product-{F}(V36,V33,V37), sum-{F}(V37,V32,V19) | less_or_equal-{T}(V0,V1)
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1373: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V11; #1367 ), references = 1, size of lhs = 13:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V1,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), sum-{F}(V2,V0,V6), sum-{F}(V3,V6,V7), sum-{F}(V7,V1,V4) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1385: mergings( V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V4 == V6, V6 == V8, V8 == V13; #1376 ), references = 1, size of lhs = 10:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), sum-{F}(V2,V3,V5), sum-{F}(V5,V1,V3) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1402: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V3 == V7, V7 == V9, V9 == V11, V11 == V15; #1390 ), references = 1, size of lhs = 6:
% 49.86/50.09 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1419: mergings( V1 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V16, V2 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V17, V3 == V14; #1404 ), references = 2, size of lhs = 4:
% 49.86/50.09 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1424: mergings( V1 == V3, V2 == V4; #1421 ), references = 1, size of lhs = 2:
% 49.86/50.09 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1427: mergings( V1 == V2; #1425 ), references = 1, size of lhs = 1:
% 49.86/50.09 P_additive_identity-{F}(V0) | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 #1429: exists( #29, #1425 ), references = 1, size of lhs = 0:
% 49.86/50.09 FALSE | FALSE
% 49.86/50.09 (used 0 times, uses = {})
% 49.86/50.09
% 49.86/50.09 number of learnt formulas = 21
% 49.86/50.09
% 49.86/50.09
% 49.86/50.09 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.86/50.09
% 49.86/50.09 randbase = 1
%------------------------------------------------------------------------------