TSTP Solution File: GRP702-12 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP702-12 : TPTP v8.1.0. Released v8.1.0.
% 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 06:04:27 EDT 2022
% Result : Unsatisfiable 9.07s 9.31s
% Output : Refutation 9.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP702-12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % 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 14:33:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 9.07/9.31 GeoParameters:
% 9.07/9.31
% 9.07/9.31 tptp_input = 1
% 9.07/9.31 tptp_output = 0
% 9.07/9.31 nonempty = 1
% 9.07/9.31 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.07/9.31 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 9.07/9.31
% 9.07/9.31
% 9.07/9.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.07/9.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.07/9.31
% 9.07/9.31 RuleSystem INPUT:
% 9.07/9.31
% 9.07/9.31 Initial Rules:
% 9.07/9.31 #0: input, references = 4, size of lhs = 3:
% 9.07/9.31 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #1: input, references = 5, size of lhs = 3:
% 9.07/9.31 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #2: input, references = 3, size of lhs = 3:
% 9.07/9.31 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #3: input, references = 4, size of lhs = 3:
% 9.07/9.31 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #4: input, references = 4, size of lhs = 3:
% 9.07/9.31 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #5: input, references = 4, size of lhs = 3:
% 9.07/9.31 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #6: input, references = 5, size of lhs = 8:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #7: input, references = 4, size of lhs = 7:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #8: input, references = 3, size of lhs = 7:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #9: input, references = 4, size of lhs = 7:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #10: input, references = 4, size of lhs = 6:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #11: input, references = 4, size of lhs = 9:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #12: input, references = 4, size of lhs = 10:
% 9.07/9.31 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
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #13: input, references = 8, size of lhs = 11:
% 9.07/9.31 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_x0-{F}(V5), P_x1-{F}(V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V5,V7,V10), P_mult-{F}(V5,V2,V9), P_mult-{F}(V9,V6,V10) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #14: input, references = 17, size of lhs = 2:
% 9.07/9.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #15: input, references = 10, size of lhs = 2:
% 9.07/9.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #16: input, references = 4, size of lhs = 2:
% 9.07/9.31 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #17: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_unit-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #18: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #19: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_op_d-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #20: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_op_e-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #21: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_op_f-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #22: input, references = 4, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_x0-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #23: input, references = 5, size of lhs = 0:
% 9.07/9.31 FALSE | EXISTS V0: P_x1-{T}(V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 number of initial rules = 24
% 9.07/9.31
% 9.07/9.31 Simplifiers:
% 9.07/9.31 #24: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #25: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #26: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #27: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #28: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #29: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_op_d-{F}(V0), P_op_d-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #30: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_op_e-{F}(V0), P_op_e-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #31: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_op_f-{F}(V0), P_op_f-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #32: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #33: unsound, references = 3, size of lhs = 3:
% 9.07/9.31 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 number of simplifiers = 10
% 9.07/9.31
% 9.07/9.31 Learnt:
% 9.07/9.31 #35: exists( #16, #3 ), references = 2, size of lhs = 1:
% 9.07/9.31 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #37: exists( #15, #1 ), references = 5, size of lhs = 1:
% 9.07/9.31 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #39: exists( #14, #4 ), references = 5, size of lhs = 2:
% 9.07/9.31 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #41: exists( #19, #10 ), references = 2, size of lhs = 4:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_ld-{F}(V2,V3,V4) | P_op_d-{T}(V4)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #43: exists( #14, #5 ), references = 9, size of lhs = 2:
% 9.07/9.31 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #46: exists( #20, #11 ), references = 2, size of lhs = 7:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_rd-{F}(V1,V3,V4), P_mult-{F}(V5,V6,V3), P_mult-{F}(V4,V6,V7), P_mult-{F}(V7,V5,V8) | P_op_e-{T}(V8)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #48: exists( #21, #12 ), references = 2, size of lhs = 8:
% 9.07/9.31 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)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #52: mergings( V3 == V4; #50 ), references = 1, size of lhs = 8:
% 9.07/9.31 P_x1-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_mult-{F}(V2,V0,V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x0-{F}(V5) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #55: exists( #14, #0 ), references = 14, size of lhs = 1:
% 9.07/9.31 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #59: exists( #14, #6 ), references = 7, size of lhs = 6:
% 9.07/9.31 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)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #60: exists( #14, #7 ), references = 6, size of lhs = 5:
% 9.07/9.31 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)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #61: exists( #14, #9 ), references = 5, size of lhs = 5:
% 9.07/9.31 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)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #69: mergings( V3 == V4; #67 ), references = 7, size of lhs = 5:
% 9.07/9.31 P_unit-{F}(V0), P_mult-{F}(V1,V2,V0), P_mult-{F}(V3,V2,V1), P_mult-{F}(V2,V4,V5), P_mult-{F}(V3,V5,V6) | P_ld-{T}(V2,V4,V6)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #83: mergings( V3 == V5, V5 == V6, V4 == V7; #79 ), references = 4, size of lhs = 15:
% 9.07/9.31 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_x0-{F}(V5), P_x1-{F}(V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V5,V2,V8), P_mult-{F}(V8,V1,V9), P_mult-{F}(V1,V10,V6), P_mult-{F}(V11,V7,V12), P_mult-{F}(V11,V12,V10), P_mult-{F}(V9,V11,V13), P_mult-{F}(V13,V11,V5) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #98: mergings( V17 == V8, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V8 == V11; #89 ), references = 1, size of lhs = 20:
% 9.07/9.31 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_x0-{F}(V5), P_x1-{F}(V6), P_mult-{F}(V2,V1,V6), P_mult-{F}(V1,V1,V6), P_mult-{F}(V5,V2,V7), P_mult-{F}(V8,V1,V7), P_mult-{F}(V0,V2,V9), P_mult-{F}(V9,V2,V7), P_mult-{F}(V10,V11,V1), P_mult-{F}(V7,V10,V12), P_mult-{F}(V12,V10,V0), P_mult-{F}(V1,V10,V13), P_mult-{F}(V1,V13,V14), P_mult-{F}(V8,V14,V15), P_mult-{F}(V15,V10,V5) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #117: mergings( V19 == V21, V3 == V4, V4 == V5, V5 == V6, V6 == V1, V1 == V7, V7 == V8, V8 == V9, V9 == V10, V0 == V11; #106 ), references = 1, size of lhs = 19:
% 9.07/9.31 P_x0-{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_x1-{F}(V5), P_mult-{F}(V2,V0,V5), P_mult-{F}(V0,V0,V5), P_mult-{F}(V0,V2,V6), P_mult-{F}(V7,V0,V6), P_mult-{F}(V1,V2,V8), P_mult-{F}(V8,V2,V6), P_mult-{F}(V6,V1,V9), P_mult-{F}(V0,V1,V10), P_mult-{F}(V7,V10,V6), P_mult-{F}(V11,V10,V0), P_mult-{F}(V11,V0,V12), P_mult-{F}(V12,V0,V6) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #128: mergings( V3 == V4, V4 == V5; #124 ), references = 1, size of lhs = 11:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V2), P_x0-{F}(V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x1-{F}(V5), P_mult-{F}(V2,V2,V6), P_mult-{F}(V6,V5,V5), P_mult-{F}(V0,V2,V7), P_mult-{F}(V7,V2,V0) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #131: mergings( V3 == V4, V4 == V5; #125 ), references = 2, size of lhs = 13:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5), P_mult-{F}(V0,V1,V6), P_mult-{F}(V6,V1,V0), P_mult-{F}(V4,V1,V7), P_mult-{F}(V7,V1,V8), P_mult-{F}(V8,V1,V9), P_mult-{F}(V9,V1,V4) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #162: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V10, V5 == V9, V9 == V11; #154 ), references = 1, size of lhs = 19:
% 9.07/9.31 P_x0-{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_x1-{F}(V5), P_mult-{F}(V2,V5,V6), P_mult-{F}(V0,V2,V7), P_mult-{F}(V0,V8,V7), P_mult-{F}(V8,V5,V6), P_mult-{F}(V0,V9,V10), P_mult-{F}(V10,V6,V11), P_mult-{F}(V1,V10,V12), P_mult-{F}(V12,V10,V0), P_mult-{F}(V13,V10,V1), P_mult-{F}(V14,V10,V13), P_mult-{F}(V14,V15,V11), P_mult-{F}(V0,V16,V15) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #181: exists( #15, #179 ), references = 3, size of lhs = 5:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V5), P_ld-{F}(V3,V5,V6) | P_ld-{T}(V2,V4,V6)
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #197: mergings( V3 == V4, V4 == V5, V0 == V6; #193 ), references = 1, size of lhs = 17:
% 9.07/9.31 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_x0-{F}(V5), P_x1-{F}(V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V5,V2,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V1,V10), P_mult-{F}(V1,V11,V6), P_mult-{F}(V10,V12,V13), P_mult-{F}(V1,V13,V14), P_mult-{F}(V14,V12,V5), P_mult-{F}(V12,V7,V15), P_mult-{F}(V12,V15,V11) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #206: mergings( V3 == V4, V4 == V5, V5 == V7, V6 == V0; #201 ), references = 1, size of lhs = 17:
% 9.07/9.31 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_x0-{F}(V5), P_x1-{F}(V6), P_mult-{F}(V2,V6,V7), P_mult-{F}(V5,V2,V8), P_mult-{F}(V1,V9,V8), P_mult-{F}(V9,V1,V10), P_mult-{F}(V1,V11,V12), P_ld-{F}(V12,V6,V13), P_mult-{F}(V11,V7,V13), P_mult-{F}(V10,V11,V14), P_mult-{F}(V1,V14,V15), P_mult-{F}(V15,V11,V5) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #220: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V0 == V8, V8 == V10, V9 == V18; #211 ), references = 1, size of lhs = 15:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5), P_ld-{F}(V1,V5,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V0,V8), P_mult-{F}(V0,V9,V1), P_mult-{F}(V8,V9,V10), P_mult-{F}(V0,V10,V11), P_mult-{F}(V11,V9,V4) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #231: mergings( V3 == V1, V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V0 == V8; #223 ), references = 1, size of lhs = 16:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5), P_ld-{F}(V1,V5,V5), P_mult-{F}(V4,V0,V6), P_mult-{F}(V0,V7,V6), P_mult-{F}(V7,V0,V8), P_mult-{F}(V0,V4,V8), P_mult-{F}(V0,V1,V9), P_mult-{F}(V10,V9,V4), P_mult-{F}(V10,V0,V11), P_mult-{F}(V11,V0,V8) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #239: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #232 ), references = 1, size of lhs = 11:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_x0-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x1-{F}(V4), P_ld-{F}(V1,V4,V4), P_mult-{F}(V0,V1,V5), P_mult-{F}(V6,V5,V0), P_mult-{F}(V6,V0,V0) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #249: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8; #242 ), references = 1, size of lhs = 9:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_x0-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_mult-{F}(V0,V1,V4), P_mult-{F}(V5,V4,V0), P_mult-{F}(V5,V0,V0) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #258: mergings( V3 == V4; #255 ), references = 1, size of lhs = 11:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), P_mult-{F}(V1,V1,V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x0-{F}(V5), P_mult-{F}(V5,V2,V5), P_x1-{F}(V6), P_mult-{F}(V0,V1,V7), P_mult-{F}(V7,V1,V0) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #262: mergings( V9 == V10, V3 == V4, V1 == V5; #254 ), references = 2, size of lhs = 9:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5), P_mult-{F}(V0,V5,V6), P_mult-{F}(V4,V6,V7) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #264: mergings( V3 == V4; #256 ), references = 1, size of lhs = 13:
% 9.07/9.31 P_unit-{F}(V0), P_op_c-{F}(V1), P_op_d-{F}(V1), P_mult-{F}(V1,V1,V2), P_op_e-{F}(V3), P_op_f-{F}(V4), P_x0-{F}(V5), P_mult-{F}(V5,V2,V5), P_x1-{F}(V6), P_mult-{F}(V1,V6,V7), P_mult-{F}(V1,V7,V8), P_mult-{F}(V1,V8,V9), P_mult-{F}(V1,V9,V6) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #343: exists( #14, #262 ), references = 1, size of lhs = 8:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5), P_mult-{F}(V0,V5,V6) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #345: exists( #14, #342 ), references = 1, size of lhs = 7:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4), P_x1-{F}(V5) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #347: exists( #23, #344 ), references = 1, size of lhs = 6:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3), P_x0-{F}(V4) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #349: exists( #22, #346 ), references = 2, size of lhs = 5:
% 9.07/9.31 P_op_d-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_op_e-{F}(V2), P_op_f-{F}(V3) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #366: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #361 ), references = 1, size of lhs = 2:
% 9.07/9.31 P_unit-{F}(V0), P_mult-{F}(V0,V0,V0) | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 #369: exists( #17, #367 ), references = 1, size of lhs = 0:
% 9.07/9.31 FALSE | FALSE
% 9.07/9.31 (used 0 times, uses = {})
% 9.07/9.31
% 9.07/9.31 number of learnt formulas = 35
% 9.07/9.31
% 9.07/9.31
% 9.07/9.31 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.07/9.31
% 9.07/9.31 randbase = 1
%------------------------------------------------------------------------------