TSTP Solution File: GRP665-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 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 06:04:23 EDT 2022
% Result : Unsatisfiable 19.82s 19.98s
% Output : Refutation 19.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % 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 13:38:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.82/19.98 GeoParameters:
% 19.82/19.98
% 19.82/19.98 tptp_input = 1
% 19.82/19.98 tptp_output = 0
% 19.82/19.98 nonempty = 1
% 19.82/19.98 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.82/19.98 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 19.82/19.98
% 19.82/19.98
% 19.82/19.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.82/19.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.82/19.98
% 19.82/19.98 RuleSystem INPUT:
% 19.82/19.98
% 19.82/19.98 Initial Rules:
% 19.82/19.98 #0: input, references = 4, size of lhs = 3:
% 19.82/19.98 P_ld-{F}(V0,V1,V2), P_mult-{F}(V0,V2,V3), V3 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #1: input, references = 5, size of lhs = 3:
% 19.82/19.98 P_mult-{F}(V0,V1,V2), P_ld-{F}(V0,V2,V3), V3 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #2: input, references = 4, size of lhs = 3:
% 19.82/19.98 P_rd-{F}(V0,V1,V2), P_mult-{F}(V2,V1,V3), V3 == V0 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #3: input, references = 6, size of lhs = 3:
% 19.82/19.98 P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V1,V3), V3 == V0 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #4: input, references = 4, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V0,V2), V2 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #5: input, references = 4, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), V2 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #6: input, references = 5, size of lhs = 8:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V4,V5), P_mult-{F}(V1,V2,V6), P_rd-{F}(V6,V1,V7), P_mult-{F}(V1,V3,V8), P_mult-{F}(V7,V8,V9), V5 == V9 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #7: input, references = 4, size of lhs = 8:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V2,V4), P_mult-{F}(V4,V3,V5), P_mult-{F}(V1,V3,V6), P_mult-{F}(V2,V3,V7), P_ld-{F}(V3,V7,V8), P_mult-{F}(V6,V8,V9), V5 == V9 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #8: input, references = 4, size of lhs = 5:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V2,V3), P_mult-{F}(V2,V1,V4), V3 == V4 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #9: input, references = 8, size of lhs = 8:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V4,V7), P_mult-{F}(V1,V2,V6), P_mult-{F}(V6,V3,V7) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #10: input, references = 21, size of lhs = 2:
% 19.82/19.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_mult-{T}(V0,V1,V2)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #11: input, references = 7, size of lhs = 2:
% 19.82/19.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_ld-{T}(V0,V1,V2)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #12: input, references = 6, size of lhs = 2:
% 19.82/19.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_rd-{T}(V0,V1,V2)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #13: input, references = 4, size of lhs = 0:
% 19.82/19.98 FALSE | EXISTS V0: P_unit-{T}(V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #14: input, references = 4, size of lhs = 0:
% 19.82/19.98 FALSE | EXISTS V0: P_op_c-{T}(V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #15: input, references = 5, size of lhs = 0:
% 19.82/19.98 FALSE | EXISTS V0: P_x0-{T}(V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #16: input, references = 7, size of lhs = 0:
% 19.82/19.98 FALSE | EXISTS V0: P_x1-{T}(V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 number of initial rules = 17
% 19.82/19.98
% 19.82/19.98 Simplifiers:
% 19.82/19.98 #17: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_mult-{F}(V0,V1,V2), P_mult-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #18: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_ld-{F}(V0,V1,V2), P_ld-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #19: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_rd-{F}(V0,V1,V2), P_rd-{F}(V0,V1,V5), V2 == V5 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #20: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_unit-{F}(V1), V0 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #21: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_op_c-{F}(V0), P_op_c-{F}(V1), V0 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #22: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_x0-{F}(V0), P_x0-{F}(V1), V0 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #23: unsound, references = 3, size of lhs = 3:
% 19.82/19.98 P_x1-{F}(V0), P_x1-{F}(V1), V0 == V1 | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 number of simplifiers = 7
% 19.82/19.98
% 19.82/19.98 Learnt:
% 19.82/19.98 #25: exists( #10, #4 ), references = 5, size of lhs = 2:
% 19.82/19.98 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V1,V0,V1)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #27: exists( #11, #1 ), references = 12, size of lhs = 1:
% 19.82/19.98 P_mult-{F}(V0,V1,V2) | P_ld-{T}(V0,V2,V1)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #31: exists( #10, #5 ), references = 8, size of lhs = 2:
% 19.82/19.98 P_unit-{F}(V0), #-{F} V1 | P_mult-{T}(V0,V1,V1)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #32: exists( #10, #8 ), references = 5, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V2,V1,V3) | P_mult-{T}(V1,V2,V3)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #36: mergings( V3 == V4; #34 ), references = 1, size of lhs = 5:
% 19.82/19.98 P_op_c-{F}(V0), P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V1), P_x1-{F}(V2) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #39: mergings( V1 == V2; #37 ), references = 2, size of lhs = 4:
% 19.82/19.98 P_op_c-{F}(V0), P_unit-{F}(V0), P_x0-{F}(V1), P_mult-{F}(V0,V1,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #42: exists( #15, #40 ), references = 1, size of lhs = 2:
% 19.82/19.98 P_op_c-{F}(V0), P_unit-{F}(V0) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #44: exists( #12, #3 ), references = 6, size of lhs = 1:
% 19.82/19.98 P_mult-{F}(V0,V1,V2) | P_rd-{T}(V2,V1,V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #46: exists( #10, #0 ), references = 4, size of lhs = 1:
% 19.82/19.98 P_ld-{F}(V0,V1,V2) | P_mult-{T}(V0,V2,V1)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #49: exists( #10, #6 ), references = 7, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V1,V5), P_rd-{F}(V5,V4,V6), P_mult-{F}(V4,V2,V7), P_mult-{F}(V6,V7,V8) | P_mult-{T}(V4,V3,V8)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #50: exists( #10, #7 ), references = 6, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V1,V4,V5), P_mult-{F}(V2,V4,V6), P_ld-{F}(V4,V6,V7), P_mult-{F}(V5,V7,V8) | P_mult-{T}(V3,V4,V8)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #61: mergings( V3 == V4; #59 ), references = 1, size of lhs = 5:
% 19.82/19.98 P_x1-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_mult-{F}(V2,V0,V2) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #70: exists( #10, #2 ), references = 8, size of lhs = 1:
% 19.82/19.98 P_rd-{F}(V0,V1,V2) | P_mult-{T}(V2,V1,V0)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #71: exists( #10, #6 ), references = 3, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V3,V5), P_mult-{F}(V4,V1,V6), P_rd-{F}(V6,V4,V7), P_mult-{F}(V4,V2,V8) | P_mult-{T}(V7,V8,V5)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #76: exists( #12, #74 ), references = 7, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_ld-{F}(V1,V2,V3) | P_rd-{T}(V2,V1,V3)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #108: mergings( V4 == V3, V22 == V23, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V0 == V14; #95 ), references = 1, size of lhs = 18:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V3,V3,V0), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V2,V5), P_mult-{F}(V1,V6,V5), P_mult-{F}(V7,V6,V4), P_mult-{F}(V1,V7,V8), P_rd-{F}(V8,V1,V3), P_mult-{F}(V1,V1,V9), P_mult-{F}(V1,V9,V3), P_mult-{F}(V9,V1,V3), P_mult-{F}(V10,V1,V5), P_mult-{F}(V11,V1,V10), P_mult-{F}(V1,V11,V12), P_mult-{F}(V1,V12,V5) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #126: mergings( V3 == V4, V4 == V5; #123 ), references = 3, size of lhs = 10:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V2,V3,V4), P_mult-{F}(V1,V2,V5), P_mult-{F}(V6,V3,V4), P_mult-{F}(V6,V7,V5), P_mult-{F}(V7,V3,V8), P_ld-{F}(V3,V8,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #131: mergings( V7 == V8, V3 == V4, V4 == V5; #127 ), references = 1, size of lhs = 7:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V1,V3,V4), P_mult-{F}(V2,V3,V4), P_ld-{F}(V3,V4,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #138: mergings( V3 == V4, V4 == V5, V5 == V6; #134 ), references = 1, size of lhs = 4:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V1), P_x1-{F}(V2) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #143: mergings( V1 == V2, V2 == V3, V3 == V4; #139 ), references = 1, size of lhs = 3:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #152: exists( #10, #9 ), references = 2, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_mult-{F}(V1,V2,V1), P_x1-{F}(V3), P_mult-{F}(V2,V3,V3) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #156: mergings( V1 == V2; #154 ), references = 1, size of lhs = 4:
% 19.82/19.98 P_x0-{F}(V0), P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V1,V0,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #166: exists( #10, #126 ), references = 3, size of lhs = 8:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V1,V2,V4), P_mult-{F}(V2,V5,V4), P_mult-{F}(V5,V3,V6), P_ld-{F}(V3,V6,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #277: mergings( V3 == V4; #274 ), references = 1, size of lhs = 4:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V2) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #357: mergings( V3 == V4; #354 ), references = 2, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V1,V3,V4), P_ld-{F}(V3,V4,V1) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #363: mergings( V2 == V3; #360 ), references = 1, size of lhs = 4:
% 19.82/19.98 P_x1-{F}(V0), P_op_c-{F}(V0), P_unit-{F}(V1), P_x0-{F}(V2) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #414: mergings( V3 == V4, V4 == V5; #411 ), references = 1, size of lhs = 7:
% 19.82/19.98 P_op_c-{F}(V0), P_unit-{F}(V1), P_mult-{F}(V0,V0,V2), P_mult-{F}(V0,V2,V3), P_mult-{F}(V0,V4,V5), P_mult-{F}(V0,V5,V6), P_rd-{F}(V6,V3,V7) | P_ld-{T}(V0,V4,V7)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #453: mergings( V3 == V4, V4 == V5; #450 ), references = 2, size of lhs = 14:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V1,V2,V3), P_mult-{F}(V4,V5,V3), P_mult-{F}(V6,V5,V7), P_mult-{F}(V4,V6,V8), P_rd-{F}(V8,V4,V9), P_mult-{F}(V9,V1,V10), P_rd-{F}(V10,V9,V11), P_mult-{F}(V9,V2,V12), P_mult-{F}(V11,V12,V13), P_mult-{F}(V14,V7,V15), P_ld-{F}(V7,V15,V16), P_mult-{F}(V13,V16,V17), P_rd-{F}(V17,V7,V18) | P_mult-{T}(V4,V14,V18)
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #463: mergings( V3 == V4, V4 == V5, V5 == V6; #459 ), references = 2, size of lhs = 15:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V7,V5), P_mult-{F}(V8,V4,V9), P_mult-{F}(V3,V8,V10), P_rd-{F}(V10,V3,V11), P_mult-{F}(V11,V6,V12), P_rd-{F}(V12,V11,V13), P_mult-{F}(V11,V7,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V15,V1,V16), P_rd-{F}(V16,V9,V17) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #471: exists( #12, #463 ), references = 2, size of lhs = 14:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V3,V4,V5), P_mult-{F}(V6,V7,V5), P_mult-{F}(V8,V4,V9), P_mult-{F}(V3,V8,V10), P_rd-{F}(V10,V3,V11), P_mult-{F}(V11,V6,V12), P_rd-{F}(V12,V11,V13), P_mult-{F}(V11,V7,V14), P_mult-{F}(V13,V14,V15), P_mult-{F}(V15,V1,V16) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #479: mergings( V3 == V4; #477 ), references = 1, size of lhs = 12:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V3,V0,V4), P_rd-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V7), P_rd-{F}(V7,V5,V8), P_mult-{F}(V6,V9,V10), P_mult-{F}(V5,V9,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V12,V1,V13) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #482: mergings( V3 == V4; #480 ), references = 1, size of lhs = 12:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_x1-{F}(V3), P_mult-{F}(V3,V0,V4), P_rd-{F}(V4,V3,V5), P_mult-{F}(V5,V6,V7), P_rd-{F}(V7,V5,V8), P_mult-{F}(V6,V9,V10), P_mult-{F}(V5,V9,V11), P_mult-{F}(V8,V11,V12), P_mult-{F}(V12,V1,V13) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #489: mergings( V1 == V2, V2 == V3; #486 ), references = 1, size of lhs = 9:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_x0-{F}(V2), P_mult-{F}(V0,V3,V4), P_rd-{F}(V4,V0,V5), P_mult-{F}(V3,V6,V7), P_mult-{F}(V0,V6,V8), P_mult-{F}(V5,V8,V9), P_mult-{F}(V9,V1,V10) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #493: mergings( V1 == V2, V2 == V3; #490 ), references = 1, size of lhs = 8:
% 19.82/19.98 P_unit-{F}(V0), P_op_c-{F}(V1), P_mult-{F}(V0,V2,V3), P_rd-{F}(V3,V0,V4), P_mult-{F}(V2,V5,V6), P_mult-{F}(V0,V5,V7), P_mult-{F}(V4,V7,V8), P_mult-{F}(V8,V1,V9) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #499: mergings( V1 == V2, V2 == V3, V3 == V4; #495 ), references = 1, size of lhs = 6:
% 19.82/19.98 P_unit-{F}(V0), P_mult-{F}(V0,V1,V2), P_rd-{F}(V2,V0,V3), P_mult-{F}(V3,V4,V0), P_mult-{F}(V0,V5,V4), P_mult-{F}(V1,V5,V6) | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 #503: exists( #13, #501 ), references = 1, size of lhs = 0:
% 19.82/19.98 FALSE | FALSE
% 19.82/19.98 (used 0 times, uses = {})
% 19.82/19.98
% 19.82/19.98 number of learnt formulas = 36
% 19.82/19.98
% 19.82/19.98
% 19.82/19.98 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.82/19.98
% 19.82/19.98 randbase = 1
%------------------------------------------------------------------------------