TSTP Solution File: GRP704-12 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n005.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 06:04:28 EDT 2022
% Result : Unsatisfiable 13.88s 14.08s
% Output : Refutation 13.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n005.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 14:17:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.88/14.08 GeoParameters:
% 13.88/14.08
% 13.88/14.08 tptp_input = 1
% 13.88/14.08 tptp_output = 0
% 13.88/14.08 nonempty = 1
% 13.88/14.08 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.88/14.08 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.88/14.08
% 13.88/14.08
% 13.88/14.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.88/14.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.88/14.08
% 13.88/14.08 RuleSystem INPUT:
% 13.88/14.08
% 13.88/14.08 Initial Rules:
% 13.88/14.08 #0: input, references = 4, size of lhs = 3:
% 13.88/14.08 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #1: input, references = 5, size of lhs = 3:
% 13.88/14.08 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #2: input, references = 4, size of lhs = 3:
% 13.88/14.08 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #3: input, references = 4, size of lhs = 3:
% 13.88/14.08 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #4: input, references = 4, size of lhs = 3:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #5: input, references = 4, size of lhs = 3:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #6: input, references = 5, size of lhs = 8:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V5,V6), P_mult-{F}(V1,V2,V7), P_mult-{F}(V7,V2,V8), P_mult-{F}(V8,V3,V9), V6 == V9 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #7: input, references = 5, size of lhs = 7:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V2,V6), P_mult-{F}(V6,V3,V7), V5 == V7 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #8: input, references = 3, size of lhs = 7:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V3,V1,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V2,V3,V6), P_mult-{F}(V6,V1,V7), V5 == V7 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #9: input, references = 6, size of lhs = 7:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V3,V4), P_mult-{F}(V2,V4,V5), P_mult-{F}(V2,V1,V6), P_mult-{F}(V6,V3,V7), V5 == V7 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #10: input, references = 3, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_mult-{F}(V1,V3,V4), P_ld-{F}(V3,V4,V5), V2 == V5 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #11: input, references = 3, size of lhs = 9:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_mult-{F}(V4,V5,V6), P_rd-{F}(V1,V6,V7), P_mult-{F}(V7,V5,V8), P_mult-{F}(V8,V4,V9), V3 == V9 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #12: input, references = 4, size of lhs = 10:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_mult-{F}(V5,V6,V7), P_ld-{F}(V7,V1,V8), P_mult-{F}(V6,V8,V9), P_mult-{F}(V5,V9,V10), V4 == V10 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #13: input, references = 9, size of lhs = 11:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V7,V10), P_mult-{F}(V5,V4,V9), P_mult-{F}(V9,V6,V10) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #14: input, references = 23, size of lhs = 2:
% 13.88/14.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #15: input, references = 9, size of lhs = 2:
% 13.88/14.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #16: input, references = 5, size of lhs = 2:
% 13.88/14.08 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #17: input, references = 4, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_unit-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #18: input, references = 4, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #19: input, references = 5, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_op_d-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #20: input, references = 5, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_op_e-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #21: input, references = 4, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_op_f-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #22: input, references = 5, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_x4-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #23: input, references = 6, size of lhs = 0:
% 13.88/14.08 FALSE | EXISTS V0: P_x5-{T}(V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 number of initial rules = 24
% 13.88/14.08
% 13.88/14.08 Simplifiers:
% 13.88/14.08 #24: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #25: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #26: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #27: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #28: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #29: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_op_d-{F}(V0), P_op_d-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #30: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_op_e-{F}(V0), P_op_e-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #31: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_op_f-{F}(V0), P_op_f-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #32: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_x4-{F}(V0), P_x4-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #33: unsound, references = 3, size of lhs = 3:
% 13.88/14.08 P_x5-{F}(V0), P_x5-{F}(V1), V0 == V1 | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 number of simplifiers = 10
% 13.88/14.08
% 13.88/14.08 Learnt:
% 13.88/14.08 #35: exists( #14, #4 ), references = 6, size of lhs = 2:
% 13.88/14.08 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #38: exists( #14, #5 ), references = 6, size of lhs = 2:
% 13.88/14.08 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #39: exists( #14, #2 ), references = 4, size of lhs = 1:
% 13.88/14.08 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #41: exists( #14, #13 ), references = 2, size of lhs = 9:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_mult-{F}(V5,V4,V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V6) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #45: mergings( V1 == V2; #43 ), references = 2, size of lhs = 7:
% 13.88/14.08 P_op_f-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_x4-{F}(V4), P_mult-{F}(V4,V0,V4) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #48: exists( #22, #46 ), references = 2, size of lhs = 5:
% 13.88/14.08 P_op_f-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #50: exists( #15, #1 ), references = 2, size of lhs = 1:
% 13.88/14.08 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #52: exists( #21, #12 ), references = 2, size of lhs = 8:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_ld-{F}(V4,V1,V5), P_mult-{F}(V6,V7,V4), P_mult-{F}(V7,V5,V8), P_mult-{F}(V6,V8,V9) | P_op_f-{T}(V9)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #58: mergings( V1 == V4, V2 == V5, V3 == V6; #54 ), references = 1, size of lhs = 7:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_ld-{F}(V3,V1,V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V6,V4,V7), P_mult-{F}(V5,V7,V0) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #62: mergings( V1 == V3, V2 == V4; #59 ), references = 1, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_ld-{F}(V2,V1,V3), P_mult-{F}(V4,V5,V2), P_mult-{F}(V5,V3,V6), P_mult-{F}(V4,V6,V0) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #64: exists( #16, #3 ), references = 1, size of lhs = 1:
% 13.88/14.08 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #68: exists( #14, #7 ), references = 4, size of lhs = 5:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V4,V5), P_mult-{F}(V1,V5,V6) | P_mult-{T}(V3,V4,V6)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #69: exists( #14, #6 ), references = 6, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V4,V6), P_mult-{F}(V5,V1,V7), P_mult-{F}(V7,V1,V8) | P_mult-{T}(V8,V2,V6)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #74: mergings( V3 == V4, V0 == V5; #71 ), references = 2, size of lhs = 11:
% 13.88/14.08 P_x4-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x5-{F}(V5), P_mult-{F}(V4,V5,V6), P_mult-{F}(V0,V4,V7), P_mult-{F}(V0,V8,V7), P_mult-{F}(V8,V5,V6) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #78: mergings( V2 == V3, V0 == V4; #75 ), references = 1, size of lhs = 7:
% 13.88/14.08 P_x4-{F}(V0), P_op_f-{F}(V0), P_x5-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #80: exists( #14, #74 ), references = 1, size of lhs = 8:
% 13.88/14.08 P_x4-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x5-{F}(V5), P_mult-{F}(V0,V4,V6) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #82: exists( #14, #79 ), references = 1, size of lhs = 7:
% 13.88/14.08 P_x4-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x5-{F}(V5) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #84: exists( #23, #81 ), references = 1, size of lhs = 6:
% 13.88/14.08 P_x4-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #89: exists( #14, #0 ), references = 7, size of lhs = 1:
% 13.88/14.08 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #90: exists( #14, #6 ), references = 7, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V5,V1,V6), P_mult-{F}(V6,V1,V7), P_mult-{F}(V7,V2,V8) | P_mult-{T}(V5,V4,V8)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #91: exists( #14, #7 ), references = 4, size of lhs = 5:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V4,V6) | P_mult-{T}(V1,V5,V6)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #101: mergings( V3 == V4; #99 ), references = 3, size of lhs = 4:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V2,V4) | P_rd-{T}(V3,V1,V4)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #110: mergings( V3 == V4, V4 == V6, V5 == V7; #106 ), references = 3, size of lhs = 13:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V4,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V6,V10), P_mult-{F}(V1,V11,V5), P_mult-{F}(V11,V7,V10) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #119: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V0 == V8; #113 ), references = 1, size of lhs = 12:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x5-{F}(V4), P_x4-{F}(V5), P_mult-{F}(V4,V4,V5), P_mult-{F}(V1,V1,V5), P_mult-{F}(V1,V4,V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V6,V1,V5) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #125: mergings( V3 == V5, V4 == V6; #122 ), references = 1, size of lhs = 10:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_mult-{F}(V0,V4,V1), P_x4-{F}(V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V5,V6,V5) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #136: exists( #14, #131 ), references = 7, size of lhs = 5:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V3,V4,V5), P_ld-{F}(V1,V5,V6) | P_mult-{T}(V2,V4,V6)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #139: mergings( V3 == V4, V4 == V5; #135 ), references = 1, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V0), P_mult-{F}(V1,V3,V4), P_mult-{F}(V4,V5,V6), P_mult-{F}(V2,V6,V7) | P_mult-{T}(V3,V5,V7)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #157: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #152 ), references = 2, size of lhs = 20:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V4,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V6,V10), P_mult-{F}(V11,V0,V12), P_mult-{F}(V11,V12,V13), P_mult-{F}(V13,V7,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V16,V15,V10), P_mult-{F}(V16,V13,V17), P_mult-{F}(V17,V11,V18), P_mult-{F}(V1,V18,V19), P_mult-{F}(V19,V11,V5) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #174: mergings( V3 == V4, V4 == V5; #170 ), references = 1, size of lhs = 17:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V4,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V6,V10), P_mult-{F}(V5,V11,V12), P_ld-{F}(V1,V12,V13), P_mult-{F}(V13,V11,V14), P_mult-{F}(V14,V15,V10), P_mult-{F}(V11,V15,V16), P_mult-{F}(V11,V16,V7) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #178: mergings( V3 == V4, V4 == V5, V5 == V6; #171 ), references = 1, size of lhs = 22:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V4,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V6,V10), P_mult-{F}(V0,V0,V11), P_mult-{F}(V0,V11,V0), P_mult-{F}(V0,V7,V12), P_mult-{F}(V0,V12,V13), P_mult-{F}(V14,V0,V5), P_mult-{F}(V14,V15,V16), P_ld-{F}(V1,V16,V17), P_mult-{F}(V17,V15,V18), P_mult-{F}(V18,V19,V10), P_mult-{F}(V15,V19,V20), P_mult-{F}(V15,V20,V13) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #223: mergings( V3 == V4, V4 == V7, V5 == V8; #219 ), references = 1, size of lhs = 14:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V2,V1), P_op_d-{F}(V3), P_op_e-{F}(V4), P_op_f-{F}(V5), P_x4-{F}(V6), P_mult-{F}(V5,V0,V7), P_mult-{F}(V6,V5,V8), P_mult-{F}(V7,V2,V9), P_mult-{F}(V7,V9,V10), P_mult-{F}(V11,V10,V8), P_mult-{F}(V11,V7,V6) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #237: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11, V0 == V9, V9 == V12; #228 ), references = 1, size of lhs = 21:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V2,V1), P_op_d-{F}(V3), P_op_e-{F}(V4), P_op_f-{F}(V5), P_x4-{F}(V6), P_mult-{F}(V5,V0,V7), P_mult-{F}(V6,V5,V8), P_mult-{F}(V7,V2,V9), P_mult-{F}(V10,V7,V6), P_mult-{F}(V0,V9,V11), P_mult-{F}(V1,V0,V12), P_mult-{F}(V12,V0,V7), P_mult-{F}(V0,V13,V14), P_mult-{F}(V10,V14,V15), P_mult-{F}(V15,V14,V16), P_mult-{F}(V16,V17,V8), P_mult-{F}(V14,V17,V18), P_mult-{F}(V13,V18,V11) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #259: mergings( V34 == V36, V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V15, V15 == V16, V16 == V19, V5 == V7, V7 == V13, V13 == V17, V17 == V20; #243 ), references = 1, size of lhs = 30:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_mult-{F}(V0,V0,V1), P_unit-{F}(V2), P_mult-{F}(V0,V3,V2), P_op_d-{F}(V4), P_op_e-{F}(V5), P_op_f-{F}(V6), P_x4-{F}(V7), P_mult-{F}(V6,V0,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V2,V0,V12), P_mult-{F}(V12,V0,V8), P_mult-{F}(V0,V13,V14), P_mult-{F}(V13,V15,V11), P_mult-{F}(V14,V16,V15), P_mult-{F}(V17,V16,V9), P_mult-{F}(V17,V18,V7), P_mult-{F}(V14,V18,V19), P_mult-{F}(V14,V19,V8), P_mult-{F}(V20,V14,V17), P_ld-{F}(V0,V21,V20), P_mult-{F}(V22,V14,V21), P_ld-{F}(V0,V23,V22), P_mult-{F}(V24,V25,V23), P_mult-{F}(V24,V26,V27), P_mult-{F}(V27,V26,V1), P_mult-{F}(V26,V28,V25) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #282: mergings( V41 == V43, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V22, V4 == V8, V8 == V10, V10 == V16, V16 == V20, V20 == V23; #263 ), references = 1, size of lhs = 34:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_mult-{F}(V0,V0,V1), P_unit-{F}(V2), P_mult-{F}(V0,V3,V2), P_op_d-{F}(V4), P_op_e-{F}(V5), P_op_f-{F}(V6), P_x4-{F}(V7), P_mult-{F}(V6,V0,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V2,V0,V12), P_mult-{F}(V12,V0,V8), P_mult-{F}(V0,V13,V11), P_mult-{F}(V0,V14,V15), P_mult-{F}(V14,V13,V16), P_mult-{F}(V17,V14,V15), P_mult-{F}(V18,V14,V17), P_mult-{F}(V0,V18,V19), P_mult-{F}(V19,V20,V16), P_mult-{F}(V19,V21,V8), P_mult-{F}(V19,V22,V21), P_mult-{F}(V23,V22,V7), P_mult-{F}(V23,V20,V9), P_mult-{F}(V24,V19,V23), P_ld-{F}(V0,V25,V24), P_mult-{F}(V26,V19,V25), P_ld-{F}(V0,V27,V26), P_mult-{F}(V28,V29,V27), P_mult-{F}(V28,V30,V31), P_mult-{F}(V31,V30,V1), P_mult-{F}(V30,V32,V29) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #304: mergings( V41 == V44, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V21, V5 == V10, V10 == V0, V0 == V19, V19 == V22; #285 ), references = 1, size of lhs = 31:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_mult-{F}(V0,V0,V1), P_unit-{F}(V2), P_mult-{F}(V0,V3,V2), P_op_d-{F}(V4), P_op_e-{F}(V5), P_op_f-{F}(V6), P_x4-{F}(V7), P_mult-{F}(V6,V0,V8), P_mult-{F}(V7,V6,V9), P_mult-{F}(V8,V3,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V2,V0,V12), P_mult-{F}(V12,V0,V8), P_mult-{F}(V0,V13,V11), P_mult-{F}(V14,V0,V1), P_mult-{F}(V15,V0,V14), P_mult-{F}(V15,V16,V16), P_mult-{F}(V16,V16,V17), P_ld-{F}(V0,V17,V18), P_mult-{F}(V0,V16,V19), P_mult-{F}(V18,V16,V19), P_mult-{F}(V16,V13,V20), P_mult-{F}(V16,V21,V20), P_ld-{F}(V0,V18,V22), P_mult-{F}(V22,V16,V23), P_mult-{F}(V23,V21,V9), P_mult-{F}(V23,V24,V7), P_mult-{F}(V16,V24,V25), P_mult-{F}(V16,V25,V8) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #326: mergings( V0 == V36, V36 == V38, V32 == V26, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V17, V17 == V18, V18 == V19, V19 == V22, V5 == V10, V10 == V15, V15 == V20, V20 == V23; #305 ), references = 1, size of lhs = 25:
% 13.88/14.08 P_x5-{F}(V0), P_op_c-{F}(V0), P_mult-{F}(V0,V0,V1), P_unit-{F}(V2), P_mult-{F}(V0,V3,V2), P_op_d-{F}(V4), P_op_e-{F}(V5), P_op_f-{F}(V6), P_x4-{F}(V7), P_mult-{F}(V6,V0,V8), P_mult-{F}(V7,V7,V8), P_mult-{F}(V8,V3,V9), P_mult-{F}(V0,V9,V10), P_mult-{F}(V0,V6,V10), P_mult-{F}(V2,V0,V11), P_mult-{F}(V11,V0,V8), P_mult-{F}(V12,V7,V7), P_mult-{F}(V12,V0,V13), P_mult-{F}(V13,V0,V1), P_ld-{F}(V0,V8,V14), P_mult-{F}(V0,V7,V15), P_mult-{F}(V14,V7,V15), P_ld-{F}(V0,V14,V16), P_mult-{F}(V16,V7,V7), P_mult-{F}(V7,V17,V7) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #353: exists( #14, #9 ), references = 2, size of lhs = 5:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6) | P_mult-{T}(V6,V2,V5)
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #376: mergings( V3 == V5, V4 == V6; #373 ), references = 1, size of lhs = 11:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x4-{F}(V5), P_x5-{F}(V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V4,V6,V7), P_mult-{F}(V5,V1,V8), P_mult-{F}(V5,V4,V8) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #380: mergings( V3 == V4, V1 == V5; #377 ), references = 1, size of lhs = 8:
% 13.88/14.08 P_op_f-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_x4-{F}(V4), P_x5-{F}(V5), P_mult-{F}(V0,V5,V6) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #384: mergings( V3 == V4, V0 == V5; #381 ), references = 1, size of lhs = 7:
% 13.88/14.08 P_op_f-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_x4-{F}(V4), P_x5-{F}(V5) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #388: mergings( V1 == V3, V2 == V4; #385 ), references = 1, size of lhs = 6:
% 13.88/14.08 P_op_f-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3), P_x4-{F}(V4) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #392: mergings( V1 == V3, V2 == V4; #389 ), references = 1, size of lhs = 5:
% 13.88/14.08 P_op_f-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_op_e-{F}(V3) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #400: mergings( V1 == V4, V4 == V6, V2 == V5, V5 == V7, V3 == V8; #394 ), references = 1, size of lhs = 7:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_ld-{F}(V3,V1,V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V6,V4,V7), P_mult-{F}(V5,V7,V1) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #406: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #401 ), references = 2, size of lhs = 6:
% 13.88/14.08 P_unit-{F}(V0), P_op_c-{F}(V1), P_ld-{F}(V2,V1,V3), P_mult-{F}(V4,V5,V2), P_mult-{F}(V5,V3,V6), P_mult-{F}(V4,V6,V1) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #411: mergings( V1 == V2; #409 ), references = 1, size of lhs = 2:
% 13.88/14.08 P_unit-{F}(V0), P_mult-{F}(V0,V0,V0) | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 #414: exists( #17, #412 ), references = 1, size of lhs = 0:
% 13.88/14.08 FALSE | FALSE
% 13.88/14.08 (used 0 times, uses = {})
% 13.88/14.08
% 13.88/14.08 number of learnt formulas = 46
% 13.88/14.08
% 13.88/14.08
% 13.88/14.08 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.88/14.08
% 13.88/14.08 randbase = 1
%------------------------------------------------------------------------------