TSTP Solution File: GRP704-10 by Geo-III---2018C
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP704-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP704-10 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n026.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 14:03:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52 GeoParameters:
% 0.18/0.52
% 0.18/0.52 tptp_input = 1
% 0.18/0.52 tptp_output = 0
% 0.18/0.52 nonempty = 1
% 0.18/0.52 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 RuleSystem INPUT:
% 0.18/0.52
% 0.18/0.52 Initial Rules:
% 0.18/0.52 #0: input, references = 3, size of lhs = 3:
% 0.18/0.52 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #1: input, references = 4, size of lhs = 3:
% 0.18/0.52 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #2: input, references = 4, size of lhs = 3:
% 0.18/0.52 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #3: input, references = 4, size of lhs = 3:
% 0.18/0.52 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #4: input, references = 4, size of lhs = 3:
% 0.18/0.52 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #5: input, references = 4, size of lhs = 3:
% 0.18/0.52 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #6: input, references = 4, size of lhs = 8:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #7: input, references = 4, size of lhs = 7:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #8: input, references = 3, size of lhs = 7:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #9: input, references = 3, size of lhs = 7:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #10: input, references = 3, size of lhs = 6:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #11: input, references = 3, size of lhs = 9:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #12: input, references = 4, size of lhs = 10:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #13: input, references = 5, size of lhs = 11:
% 0.18/0.52 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}(V5,V6,V7), P_mult-{F}(V4,V7,V10), P_mult-{F}(V4,V5,V9), P_mult-{F}(V9,V6,V10) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #14: input, references = 11, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #15: input, references = 4, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #16: input, references = 4, size of lhs = 2:
% 0.18/0.52 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #17: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_unit-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #18: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #19: input, references = 5, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_op_d-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #20: input, references = 5, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_op_e-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #21: input, references = 4, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_op_f-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #22: input, references = 5, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_x4-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #23: input, references = 5, size of lhs = 0:
% 0.18/0.52 FALSE | EXISTS V0: P_x5-{T}(V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of initial rules = 24
% 0.18/0.52
% 0.18/0.52 Simplifiers:
% 0.18/0.52 #24: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #25: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #26: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #27: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #28: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #29: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_op_d-{F}(V0), P_op_d-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #30: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_op_e-{F}(V0), P_op_e-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #31: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_op_f-{F}(V0), P_op_f-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #32: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_x4-{F}(V0), P_x4-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #33: unsound, references = 3, size of lhs = 3:
% 0.18/0.52 P_x5-{F}(V0), P_x5-{F}(V1), V0 == V1 | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of simplifiers = 10
% 0.18/0.52
% 0.18/0.52 Learnt:
% 0.18/0.52 #35: exists( #14, #4 ), references = 2, size of lhs = 2:
% 0.18/0.52 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #38: exists( #14, #5 ), references = 4, size of lhs = 2:
% 0.18/0.52 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #39: exists( #14, #2 ), references = 1, size of lhs = 1:
% 0.18/0.52 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #43: mergings( V3 == V4; #41 ), references = 1, size of lhs = 8:
% 0.18/0.52 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}(V0,V4,V4), P_x5-{F}(V5) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #46: mergings( V1 == V2; #44 ), references = 2, size of lhs = 7:
% 0.18/0.52 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}(V0,V4,V4) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #49: exists( #22, #47 ), references = 2, size of lhs = 5:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #51: exists( #15, #1 ), references = 2, size of lhs = 1:
% 0.18/0.52 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #53: exists( #21, #12 ), references = 2, size of lhs = 8:
% 0.18/0.52 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)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #59: mergings( V1 == V4, V2 == V5, V3 == V6; #55 ), references = 1, size of lhs = 7:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #63: mergings( V1 == V3, V2 == V4; #60 ), references = 1, size of lhs = 6:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #65: exists( #16, #3 ), references = 1, size of lhs = 1:
% 0.18/0.52 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #69: exists( #14, #7 ), references = 1, size of lhs = 5:
% 0.18/0.52 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)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #70: exists( #14, #6 ), references = 1, size of lhs = 6:
% 0.18/0.52 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)
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #75: mergings( V3 == V4, V0 == V5; #72 ), references = 2, size of lhs = 11:
% 0.18/0.52 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}(V4,V5,V6), P_mult-{F}(V0,V4,V7), P_mult-{F}(V0,V8,V7), P_mult-{F}(V8,V5,V6) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #79: mergings( V2 == V3, V0 == V4; #76 ), references = 1, size of lhs = 7:
% 0.18/0.52 P_op_f-{F}(V0), P_x4-{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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #81: exists( #14, #75 ), references = 1, size of lhs = 8:
% 0.18/0.52 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,V4,V6) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #83: exists( #14, #80 ), references = 1, size of lhs = 7:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #85: exists( #23, #82 ), references = 1, size of lhs = 6:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #87: exists( #22, #84 ), references = 1, size of lhs = 5:
% 0.18/0.52 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
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #93: mergings( V1 == V5, V2 == V4, V3 == V6; #89 ), references = 1, size of lhs = 7:
% 0.18/0.52 P_op_c-{F}(V0), P_unit-{F}(V1), P_op_d-{F}(V2), P_ld-{F}(V3,V0,V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V6,V4,V7), P_mult-{F}(V5,V7,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #97: mergings( V1 == V4, V2 == V3; #94 ), references = 2, size of lhs = 6:
% 0.18/0.52 P_op_c-{F}(V0), P_unit-{F}(V1), P_ld-{F}(V2,V0,V3), P_mult-{F}(V4,V5,V2), P_mult-{F}(V5,V3,V6), P_mult-{F}(V4,V6,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #102: mergings( V1 == V2; #100 ), references = 1, size of lhs = 2:
% 0.18/0.52 P_unit-{F}(V0), P_mult-{F}(V0,V0,V0) | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 #105: exists( #17, #103 ), references = 1, size of lhs = 0:
% 0.18/0.52 FALSE | FALSE
% 0.18/0.52 (used 0 times, uses = {})
% 0.18/0.52
% 0.18/0.52 number of learnt formulas = 23
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52
% 0.18/0.52 randbase = 1
%------------------------------------------------------------------------------