TSTP Solution File: HEN006-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : HEN006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:04:41 EDT 2022
% Result : Unsatisfiable 2.06s 2.24s
% Output : Refutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : HEN006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 20:48:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.06/2.24 GeoParameters:
% 2.06/2.24
% 2.06/2.24 tptp_input = 1
% 2.06/2.24 tptp_output = 0
% 2.06/2.24 nonempty = 1
% 2.06/2.24 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.06/2.24 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.06/2.24 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.06/2.24
% 2.06/2.24 RuleSystem INPUT:
% 2.06/2.24
% 2.06/2.24 Initial Rules:
% 2.06/2.24 #0: input, references = 16, size of lhs = 2:
% 2.06/2.24 P_zero-{F}(V0), less_equal-{F}(V1,V2) | quotient-{T}(V1,V2,V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #1: input, references = 10, size of lhs = 2:
% 2.06/2.24 P_zero-{F}(V0), quotient-{F}(V1,V2,V0) | less_equal-{T}(V1,V2)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #2: input, references = 11, size of lhs = 2:
% 2.06/2.24 P_zero-{F}(V0), quotient-{F}(V1,V3,V2) | less_equal-{T}(V2,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #3: input, references = 6, size of lhs = 6:
% 2.06/2.24 P_zero-{F}(V0), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V6,V2), quotient-{F}(V7,V6,V4), quotient-{F}(V8,V7,V5), quotient-{F}(V8,V6,V3) | less_equal-{T}(V1,V2)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #4: input, references = 12, size of lhs = 2:
% 2.06/2.24 P_zero-{F}(V0), #-{F} V1 | less_equal-{T}(V0,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #5: input, references = 12, size of lhs = 4:
% 2.06/2.24 P_zero-{F}(V0), less_equal-{F}(V1,V2), less_equal-{F}(V2,V1), V1 == V2 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #6: input, references = 6, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), #-{F} V2 | less_equal-{T}(V2,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #7: input, references = 27, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_divide-{F}(V2,V3,V4) | quotient-{T}(V2,V3,V4)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #8: input, references = 5, size of lhs = 5:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V5,V4,V2), quotient-{F}(V5,V4,V3), V2 == V3 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #9: input, references = 5, size of lhs = 5:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_xQy-{F}(V4) | quotient-{T}(V2,V3,V4)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #10: input, references = 7, size of lhs = 6:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_xQy-{F}(V4), P_z-{F}(V5) | less_equal-{T}(V4,V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #11: input, references = 8, size of lhs = 7:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_xQy-{F}(V4), P_z-{F}(V5), P_xQz-{F}(V6) | quotient-{T}(V2,V5,V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #12: input, references = 11, size of lhs = 8:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), P_xQy-{F}(V4), P_z-{F}(V5), P_xQz-{F}(V6), less_equal-{F}(V6,V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #13: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_zero-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #14: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_identity-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #15: input, references = 12, size of lhs = 2:
% 2.06/2.24 #-{F} V0, #-{F} V1 | EXISTS V2: P_divide-{T}(V0,V1,V2)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #16: input, references = 4, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_x-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #17: input, references = 5, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_y-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #18: input, references = 8, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_xQy-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #19: input, references = 11, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_z-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #20: input, references = 9, size of lhs = 0:
% 2.06/2.24 FALSE | EXISTS V0: P_xQz-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of initial rules = 21
% 2.06/2.24
% 2.06/2.24 Simplifiers:
% 2.06/2.24 #21: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_zero-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #22: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_identity-{F}(V0), P_identity-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #23: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_divide-{F}(V0,V1,V2), P_divide-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #24: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #25: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #26: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_xQy-{F}(V0), P_xQy-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #27: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #28: unsound, references = 3, size of lhs = 3:
% 2.06/2.24 P_xQz-{F}(V0), P_xQz-{F}(V1), V0 == V1 | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of simplifiers = 8
% 2.06/2.24
% 2.06/2.24 Learnt:
% 2.06/2.24 #34: mergings( V1 == V7, V2 == V8; #31 ), references = 3, size of lhs = 7:
% 2.06/2.24 P_x-{F}(V0), P_y-{F}(V1), P_xQy-{F}(V2), P_z-{F}(V3), P_zero-{F}(V4), P_identity-{F}(V5), quotient-{F}(V0,V3,V6) | P_xQz-{T}(V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #43: mergings( V1 == V3, V3 == V7, V2 == V4; #39 ), references = 1, size of lhs = 5:
% 2.06/2.24 P_xQy-{F}(V0), P_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_zero-{F}(V3) | P_z-{T}(V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #61: mergings( V3 == V5, V4 == V6; #58 ), references = 1, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), quotient-{F}(V2,V3,V4) | P_divide-{T}(V2,V3,V4)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #74: mergings( V1 == V2, V2 == V5, V5 == V7, V6 == V8, V7 == V9, V3 == V10, V4 == V11; #66 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_zero-{F}(V0), P_x-{F}(V0), P_identity-{F}(V1), P_y-{F}(V2), less_equal-{F}(V0,V2), P_xQy-{F}(V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #82: mergings( V1 == V2, V2 == V4, V4 == V6, V5 == V7, V6 == V8, V3 == V9; #75 ), references = 2, size of lhs = 5:
% 2.06/2.24 P_zero-{F}(V0), P_x-{F}(V0), P_identity-{F}(V1), P_y-{F}(V2), less_equal-{F}(V0,V2) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #85: exists( #17, #83 ), references = 1, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_x-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #106: mergings( V1 == V7, V7 == V8, V2 == V9, V3 == V10, V10 == V4, V5 == V11, V6 == V12; #98 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_y-{F}(V0), P_x-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_xQy-{F}(V3), P_z-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #114: mergings( V1 == V6, V6 == V7, V2 == V8, V3 == V9, V9 == V4, V5 == V10; #107 ), references = 1, size of lhs = 5:
% 2.06/2.24 P_y-{F}(V0), P_x-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2), P_xQy-{F}(V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #121: mergings( V1 == V5, V5 == V6, V2 == V7, V3 == V8, V8 == V4; #115 ), references = 1, size of lhs = 4:
% 2.06/2.24 P_y-{F}(V0), P_x-{F}(V0), P_zero-{F}(V1), P_identity-{F}(V2) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #127: mergings( V1 == V3, V2 == V4; #124 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_y-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_x-{F}(V2), P_xQy-{F}(V3), P_z-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #131: mergings( V1 == V3, V2 == V4; #128 ), references = 1, size of lhs = 5:
% 2.06/2.24 P_y-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_x-{F}(V2), P_xQy-{F}(V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #135: mergings( V1 == V3, V2 == V4; #132 ), references = 1, size of lhs = 4:
% 2.06/2.24 P_y-{F}(V0), P_identity-{F}(V0), P_zero-{F}(V1), P_x-{F}(V2) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #163: mergings( V3 == V4, V4 == V6, V6 == V7; #159 ), references = 9, size of lhs = 6:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V5), quotient-{F}(V6,V4,V2), quotient-{F}(V6,V3,V7) | P_divide-{T}(V7,V5,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #180: mergings( V1 == V2, V2 == V9, V9 == V11, V11 == V12, V3 == V8, V8 == V10; #173 ), references = 3, size of lhs = 9:
% 2.06/2.24 P_x-{F}(V0), P_y-{F}(V1), P_xQy-{F}(V2), P_z-{F}(V3), P_identity-{F}(V4), P_zero-{F}(V5), quotient-{F}(V6,V3,V5), quotient-{F}(V0,V6,V7), quotient-{F}(V7,V3,V5) | P_xQz-{T}(V5)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #198: mergings( V1 == V10, V10 == V11, V2 == V9, V9 == V12, V3 == V6, V6 == V13, V4 == V7, V7 == V14, V5 == V8, V8 == V15; #187 ), references = 1, size of lhs = 7:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), less_equal-{F}(V0,V3), P_xQy-{F}(V4), quotient-{F}(V2,V4,V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #255: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V10, V5 == V6, V6 == V8; #248 ), references = 8, size of lhs = 5:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V1), quotient-{F}(V4,V3,V1), quotient-{F}(V5,V2,V4) | P_divide-{T}(V5,V3,V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #275: mergings( V1 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V2 == V9, V9 == V11, V11 == V14, V3 == V15, V4 == V16, V5 == V17, V6 == V18; #262 ), references = 1, size of lhs = 8:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0), quotient-{F}(V2,V3,V0), P_xQy-{F}(V4), P_z-{F}(V5) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #288: mergings( V1 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V2 == V8, V8 == V10, V10 == V13, V3 == V14, V4 == V15, V5 == V16; #276 ), references = 1, size of lhs = 7:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0), quotient-{F}(V2,V3,V0), P_xQy-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #308: mergings( V3 == V5, V5 == V9, V9 == V10, V4 == V8, V8 == V11, V0 == V12, V6 == V13, V7 == V14, V12 == V15; #298 ), references = 1, size of lhs = 8:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_z-{F}(V2), quotient-{F}(V3,V2,V0), P_y-{F}(V4), less_equal-{F}(V0,V4), P_xQy-{F}(V5) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #366: mergings( V3 == V5, V5 == V6, V6 == V7; #362 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V3,V4), quotient-{F}(V5,V2,V6), quotient-{F}(V5,V3,V7), quotient-{F}(V7,V4,V6) | P_divide-{T}(V6,V3,V6)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #406: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V19 == V20, V0 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18; #388 ), references = 1, size of lhs = 8:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V0,V0,V2), quotient-{F}(V2,V3,V1), quotient-{F}(V3,V4,V1), quotient-{F}(V5,V3,V4), quotient-{F}(V5,V0,V6), quotient-{F}(V6,V3,V1) | P_divide-{T}(V0,V3,V0)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #425: mergings( V1 == V6, V6 == V9, V9 == V11, V2 == V10, V10 == V12, V3 == V5, V5 == V13, V4 == V7, V7 == V14, V13 == V8, V8 == V15; #413 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_xQy-{F}(V2), P_y-{F}(V3), less_equal-{F}(V0,V3) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #457: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V17, V3 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15; #442 ), references = 1, size of lhs = 6:
% 2.06/2.24 P_y-{F}(V0), quotient-{F}(V0,V0,V0), P_zero-{F}(V0), P_x-{F}(V1), quotient-{F}(V0,V1,V0), P_identity-{F}(V2) | P_xQy-{T}(V1)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #494: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13, V4 == V6, V6 == V8, V8 == V9, V9 == V11; #483 ), references = 1, size of lhs = 4:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V2,V1,V1), quotient-{F}(V3,V3,V2) | P_divide-{T}(V3,V1,V3)
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #535: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V12, V4 == V7, V7 == V10; #526 ), references = 1, size of lhs = 10:
% 2.06/2.24 P_identity-{F}(V0), P_zero-{F}(V1), quotient-{F}(V1,V2,V3), less_equal-{F}(V3,V4), V3 == V4, quotient-{F}(V5,V1,V4), quotient-{F}(V6,V2,V5), quotient-{F}(V7,V8,V6), quotient-{F}(V7,V2,V9), quotient-{F}(V9,V8,V1) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #587: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V15; #575 ), references = 1, size of lhs = 11:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0), P_xQy-{F}(V4), P_z-{F}(V5), P_xQz-{F}(V6), quotient-{F}(V7,V8,V6), quotient-{F}(V7,V3,V9), quotient-{F}(V9,V8,V0) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #607: mergings( V1 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V18, V2 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V19, V3 == V20, V4 == V21, V5 == V22, V6 == V23; #589 ), references = 1, size of lhs = 9:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0), P_xQy-{F}(V4), P_z-{F}(V5), quotient-{F}(V2,V3,V6), quotient-{F}(V6,V5,V0) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #632: mergings( V1 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V22, V2 == V7, V7 == V12, V12 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V23, V3 == V8, V8 == V24, V4 == V9, V9 == V25, V5 == V10, V10 == V26; #610 ), references = 1, size of lhs = 7:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0), quotient-{F}(V2,V3,V4), P_xQy-{F}(V4) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #656: mergings( V1 == V3, V3 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V22, V2 == V4, V4 == V8, V8 == V12, V12 == V14, V14 == V17, V17 == V18, V18 == V20, V20 == V23, V5 == V9, V9 == V24, V6 == V10, V10 == V25; #634 ), references = 1, size of lhs = 5:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2), P_y-{F}(V3), quotient-{F}(V0,V3,V0) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #679: mergings( V1 == V3, V3 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V17, V17 == V19, V19 == V20, V2 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V16, V16 == V18, V18 == V21, V5 == V8, V8 == V22; #659 ), references = 1, size of lhs = 3:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1), P_x-{F}(V2) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #698: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V18, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V14, V14 == V16, V16 == V19; #680 ), references = 1, size of lhs = 2:
% 2.06/2.24 P_zero-{F}(V0), P_identity-{F}(V1) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #709: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #699 ), references = 1, size of lhs = 1:
% 2.06/2.24 P_zero-{F}(V0) | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 #711: exists( #13, #699 ), references = 1, size of lhs = 0:
% 2.06/2.24 FALSE | FALSE
% 2.06/2.24 (used 0 times, uses = {})
% 2.06/2.24
% 2.06/2.24 number of learnt formulas = 33
% 2.06/2.24
% 2.06/2.24
% 2.06/2.24 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.06/2.24
% 2.06/2.24 randbase = 1
%------------------------------------------------------------------------------