TSTP Solution File: GRP048-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% 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 06:03:04 EDT 2022
% Result : Unsatisfiable 55.61s 55.79s
% Output : Refutation 55.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP048-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n020.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 13:39:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 55.61/55.79 GeoParameters:
% 55.61/55.79
% 55.61/55.79 tptp_input = 1
% 55.61/55.79 tptp_output = 0
% 55.61/55.79 nonempty = 1
% 55.61/55.79 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.61/55.79 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 55.61/55.79
% 55.61/55.79
% 55.61/55.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.61/55.79 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.61/55.79
% 55.61/55.79 RuleSystem INPUT:
% 55.61/55.79
% 55.61/55.79 Initial Rules:
% 55.61/55.79 #0: input, references = 4, size of lhs = 2:
% 55.61/55.79 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #1: input, references = 4, size of lhs = 4:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V0,V2,V2,V3), V3 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #2: input, references = 4, size of lhs = 5:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_inverse-{F}(V2,V3), P_product-{F}(V3,V2,V0,V4), V4 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #3: input, references = 4, size of lhs = 5:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4), P_product-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #4: input, references = 4, size of lhs = 8:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V6), P_product-{F}(V2,V3,V5,V7), P_equalish-{F}(V5,V4,V8), P_ifeq-{F}(V7,V1,V8,V1,V9), P_ifeq-{F}(V6,V1,V9,V1,V10), V10 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #5: input, references = 5, size of lhs = 10:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V6,V5,V4,V8), P_product-{F}(V3,V5,V7,V9), P_product-{F}(V2,V3,V6,V10), P_product-{F}(V2,V7,V4,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #6: input, references = 5, size of lhs = 10:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V3,V5,V7,V8), P_product-{F}(V2,V7,V4,V9), P_product-{F}(V2,V3,V6,V10), P_product-{F}(V6,V5,V4,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #7: input, references = 5, size of lhs = 8:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_equalish-{F}(V2,V3,V6), P_product-{F}(V4,V5,V2,V7), P_product-{F}(V4,V5,V3,V8), P_ifeq-{F}(V7,V1,V8,V1,V9), P_ifeq-{F}(V6,V1,V9,V1,V10), V10 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #8: input, references = 4, size of lhs = 6:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), V4 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #9: input, references = 7, size of lhs = 8:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_equalish-{F}(V5,V6,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #10: input, references = 5, size of lhs = 4:
% 55.61/55.79 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #11: input, references = 9, size of lhs = 3:
% 55.61/55.79 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_product-{T}(V0,V1,V2,V3)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #12: input, references = 4, size of lhs = 0:
% 55.61/55.79 FALSE | EXISTS V0: P_identity-{T}(V0)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #13: input, references = 4, size of lhs = 0:
% 55.61/55.79 FALSE | EXISTS V0: P_true-{T}(V0)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #14: input, references = 19, size of lhs = 1:
% 55.61/55.79 #-{F} V0 | EXISTS V1: P_inverse-{T}(V0,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #15: input, references = 5, size of lhs = 2:
% 55.61/55.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #16: input, references = 5, size of lhs = 2:
% 55.61/55.79 #-{F} V0, #-{F} V1 | EXISTS V2: P_equalish-{T}(V0,V1,V2)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #17: input, references = 4, size of lhs = 0:
% 55.61/55.79 FALSE | EXISTS V0: P_a-{T}(V0)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #18: input, references = 4, size of lhs = 0:
% 55.61/55.79 FALSE | EXISTS V0: P_b-{T}(V0)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 number of initial rules = 19
% 55.61/55.79
% 55.61/55.79 Simplifiers:
% 55.61/55.79 #19: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #20: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_product-{F}(V0,V1,V2,V3), P_product-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #21: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #22: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #23: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_inverse-{F}(V0,V1), P_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #24: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #25: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_equalish-{F}(V0,V1,V2), P_equalish-{F}(V0,V1,V5), V2 == V5 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #26: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #27: unsound, references = 3, size of lhs = 3:
% 55.61/55.79 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 number of simplifiers = 9
% 55.61/55.79
% 55.61/55.79 Learnt:
% 55.61/55.79 #29: exists( #11, #3 ), references = 3, size of lhs = 3:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4) | P_product-{T}(V2,V3,V4,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #31: exists( #10, #0 ), references = 5, size of lhs = 3:
% 55.61/55.79 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #33: exists( #16, #8 ), references = 2, size of lhs = 4:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | P_equalish-{T}(V2,V3,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #36: exists( #11, #34 ), references = 26, size of lhs = 5:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V3,V6,V1), P_product-{F}(V7,V5,V2,V1) | P_product-{T}(V7,V6,V4,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #39: exists( #16, #37 ), references = 8, size of lhs = 4:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V2,V3,V5,V1) | P_equalish-{T}(V5,V4,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #43: exists( #11, #1 ), references = 12, size of lhs = 3:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), #-{F} V2 | P_product-{T}(V0,V2,V2,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #62: exists( #11, #60 ), references = 12, size of lhs = 4:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_equalish-{F}(V2,V3,V1), P_product-{F}(V4,V5,V2,V1) | P_product-{T}(V4,V5,V3,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #66: exists( #11, #2 ), references = 17, size of lhs = 3:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_inverse-{F}(V2,V3) | P_product-{T}(V3,V2,V0,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #76: mergings( V2 == V3, V3 == V4, V4 == V5; #72 ), references = 1, size of lhs = 9:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V0), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V3,V5), P_product-{F}(V0,V6,V5,V1), P_product-{F}(V7,V6,V7,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #85: mergings( V2 == V0, V0 == V3, V3 == V4, V4 == V5; #80 ), references = 1, size of lhs = 6:
% 55.61/55.79 P_b-{F}(V0), P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_inverse-{F}(V2,V0), P_equalish-{F}(V2,V0,V3) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #101: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #95 ), references = 1, size of lhs = 12:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_inverse-{F}(V3,V0), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V7,V1), P_product-{F}(V7,V8,V5,V1), P_product-{F}(V0,V9,V6,V1), P_product-{F}(V10,V9,V11,V1), P_product-{F}(V11,V8,V10,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #118: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #111 ), references = 2, size of lhs = 13:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_equalish-{F}(V0,V6,V1), P_equalish-{F}(V7,V8,V1), P_product-{F}(V8,V9,V5,V1), P_product-{F}(V0,V10,V7,V1), P_product-{F}(V11,V10,V12,V1), P_product-{F}(V12,V9,V11,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #127: mergings( V2 == V3, V3 == V4; #124 ), references = 3, size of lhs = 13:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_inverse-{F}(V3,V6), P_product-{F}(V6,V7,V5,V1), P_product-{F}(V0,V8,V0,V1), P_product-{F}(V0,V9,V6,V1), P_product-{F}(V10,V9,V10,V1), P_product-{F}(V11,V8,V12,V1), P_product-{F}(V12,V7,V11,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #137: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V0; #132 ), references = 1, size of lhs = 11:
% 55.61/55.79 P_identity-{F}(V0), P_b-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_equalish-{F}(V2,V0,V3), P_inverse-{F}(V2,V4), P_product-{F}(V0,V5,V0,V1), P_product-{F}(V0,V6,V4,V1), P_product-{F}(V0,V6,V7,V1), P_product-{F}(V8,V5,V9,V1), P_product-{F}(V9,V7,V8,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #145: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #140 ), references = 1, size of lhs = 6:
% 55.61/55.79 P_identity-{F}(V0), P_b-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_product-{F}(V0,V2,V0,V1), P_equalish-{F}(V2,V0,V3) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #162: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #155 ), references = 1, size of lhs = 14:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_equalish-{F}(V0,V6,V1), P_product-{F}(V0,V7,V0,V1), P_equalish-{F}(V8,V0,V1), P_product-{F}(V0,V9,V8,V1), P_product-{F}(V3,V9,V0,V1), P_product-{F}(V10,V7,V11,V1), P_product-{F}(V11,V3,V10,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #227: exists( #10, #6 ), references = 1, size of lhs = 8:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_product-{F}(V7,V8,V9,V5), P_product-{F}(V7,V10,V11,V2), P_product-{F}(V11,V12,V9,V3), P_product-{F}(V10,V12,V8,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #228: exists( #10, #5 ), references = 1, size of lhs = 8:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_product-{F}(V7,V8,V9,V5), P_product-{F}(V10,V7,V11,V2), P_product-{F}(V10,V9,V12,V3), P_product-{F}(V11,V8,V12,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #229: exists( #10, #7 ), references = 1, size of lhs = 6:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_equalish-{F}(V2,V3,V4), P_product-{F}(V5,V6,V2,V7), P_product-{F}(V5,V6,V3,V8), P_ifeq-{F}(V7,V1,V8,V1,V9) | P_ifeq-{T}(V4,V1,V9,V1,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #329: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #319 ), references = 2, size of lhs = 18:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_inverse-{F}(V3,V7), P_product-{F}(V8,V9,V6,V1), P_product-{F}(V10,V9,V11,V1), P_product-{F}(V12,V10,V8,V1), P_product-{F}(V13,V14,V11,V1), P_product-{F}(V15,V16,V14,V1), P_product-{F}(V13,V15,V17,V1), P_product-{F}(V18,V16,V19,V1), P_product-{F}(V20,V18,V17,V1), P_product-{F}(V21,V19,V7,V1), P_product-{F}(V12,V20,V21,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #348: mergings( 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; #334 ), references = 1, size of lhs = 19:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_inverse-{F}(V3,V7), P_product-{F}(V0,V8,V7,V1), P_equalish-{F}(V9,V10,V1), P_product-{F}(V0,V11,V9,V1), P_product-{F}(V12,V11,V13,V1), P_product-{F}(V13,V14,V12,V1), P_product-{F}(V15,V14,V8,V1), P_product-{F}(V12,V15,V10,V1), P_product-{F}(V16,V17,V6,V1), P_product-{F}(V9,V18,V16,V1), P_product-{F}(V13,V18,V19,V1), P_product-{F}(V19,V17,V0,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #372: mergings( 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; #354 ), references = 2, size of lhs = 18:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_product-{F}(V3,V7,V0,V1), P_product-{F}(V0,V7,V8,V1), P_equalish-{F}(V8,V9,V1), P_equalish-{F}(V10,V9,V1), P_product-{F}(V0,V11,V10,V1), P_product-{F}(V0,V12,V11,V1), P_product-{F}(V9,V12,V0,V1), P_product-{F}(V13,V14,V6,V1), P_product-{F}(V10,V15,V13,V1), P_product-{F}(V0,V15,V16,V1), P_product-{F}(V16,V14,V0,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #378: exists( #11, #376 ), references = 7, size of lhs = 5:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V4,V6,V1), P_product-{F}(V5,V2,V7,V1) | P_product-{T}(V7,V3,V6,V1)
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #418: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #413 ), references = 1, size of lhs = 13:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_product-{F}(V0,V6,V0,V1), P_product-{F}(V0,V7,V5,V1), P_product-{F}(V3,V7,V8,V1), P_product-{F}(V0,V0,V9,V1), P_product-{F}(V9,V0,V3,V1), P_product-{F}(V10,V6,V11,V1), P_product-{F}(V11,V8,V10,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #486: mergings( V2 == V3, V3 == V4; #481 ), references = 1, size of lhs = 20:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_product-{F}(V3,V7,V0,V1), P_product-{F}(V0,V7,V8,V1), P_equalish-{F}(V8,V9,V1), P_equalish-{F}(V10,V9,V1), P_product-{F}(V0,V11,V10,V1), P_product-{F}(V0,V12,V11,V1), P_product-{F}(V9,V12,V0,V1), P_product-{F}(V0,V13,V14,V1), P_product-{F}(V0,V15,V14,V1), P_product-{F}(V10,V15,V16,V1), P_product-{F}(V16,V17,V6,V1), P_product-{F}(V18,V13,V19,V1), P_product-{F}(V19,V17,V18,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #637: mergings( V2 == V3, V3 == V4; #634 ), references = 2, size of lhs = 18:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_inverse-{F}(V3,V7), P_product-{F}(V8,V9,V6,V1), P_product-{F}(V10,V9,V0,V1), P_product-{F}(V11,V10,V8,V1), P_product-{F}(V0,V12,V13,V1), P_product-{F}(V14,V12,V15,V1), P_product-{F}(V15,V16,V14,V1), P_product-{F}(V17,V16,V18,V1), P_product-{F}(V19,V17,V13,V1), P_product-{F}(V20,V18,V7,V1), P_product-{F}(V11,V19,V20,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #664: mergings( V2 == V3, V3 == V4; #659 ), references = 1, size of lhs = 20:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_inverse-{F}(V3,V7), P_product-{F}(V0,V8,V9,V1), P_product-{F}(V10,V8,V11,V1), P_product-{F}(V11,V12,V10,V1), P_product-{F}(V13,V12,V6,V1), P_product-{F}(V14,V9,V13,V1), P_product-{F}(V0,V15,V16,V1), P_product-{F}(V17,V15,V18,V1), P_product-{F}(V18,V19,V17,V1), P_product-{F}(V20,V19,V21,V1), P_product-{F}(V22,V20,V16,V1), P_product-{F}(V23,V21,V7,V1), P_product-{F}(V14,V22,V23,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #674: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #668 ), references = 2, size of lhs = 15:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_product-{F}(V0,V7,V6,V1), P_product-{F}(V0,V8,V3,V1), P_product-{F}(V0,V9,V0,V1), P_product-{F}(V3,V9,V10,V1), P_product-{F}(V0,V10,V11,V1), P_product-{F}(V10,V0,V11,V1), P_product-{F}(V12,V8,V13,V1), P_product-{F}(V13,V7,V12,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #686: mergings( V3 == V4, V4 == V5, V5 == V6; #682 ), references = 1, size of lhs = 14:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_equalish-{F}(V2,V3,V4), P_inverse-{F}(V2,V5), P_equalish-{F}(V6,V5,V1), P_product-{F}(V0,V7,V6,V1), P_product-{F}(V0,V8,V3,V1), P_product-{F}(V0,V9,V0,V1), P_product-{F}(V9,V0,V9,V1), P_product-{F}(V0,V10,V3,V1), P_product-{F}(V11,V8,V12,V1), P_product-{F}(V12,V7,V11,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #695: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #690 ), references = 1, size of lhs = 9:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_product-{F}(V0,V2,V3,V1), P_equalish-{F}(V2,V3,V4), P_product-{F}(V0,V5,V0,V1), P_product-{F}(V5,V0,V5,V1), P_product-{F}(V0,V6,V3,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #705: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #698 ), references = 2, size of lhs = 6:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_product-{F}(V0,V2,V2,V1), P_product-{F}(V0,V3,V0,V1), P_product-{F}(V3,V0,V3,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #708: exists( #17, #706 ), references = 1, size of lhs = 4:
% 55.61/55.79 P_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V0,V2,V0,V1), P_product-{F}(V2,V0,V2,V1) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #711: exists( #13, #709 ), references = 1, size of lhs = 1:
% 55.61/55.79 P_identity-{F}(V0) | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 #713: exists( #12, #710 ), references = 1, size of lhs = 0:
% 55.61/55.79 FALSE | FALSE
% 55.61/55.79 (used 0 times, uses = {})
% 55.61/55.79
% 55.61/55.79 number of learnt formulas = 34
% 55.61/55.79
% 55.61/55.79
% 55.61/55.79 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.61/55.79
% 55.61/55.79 randbase = 1
%------------------------------------------------------------------------------