TSTP Solution File: COL118-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL118-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n014.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 05:59:12 EDT 2022
% Result : Unsatisfiable 2.14s 2.30s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL118-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n014.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 07:59:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.14/2.30 GeoParameters:
% 2.14/2.30
% 2.14/2.30 tptp_input = 1
% 2.14/2.30 tptp_output = 0
% 2.14/2.30 nonempty = 1
% 2.14/2.30 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.30 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 2.14/2.30
% 2.14/2.30
% 2.14/2.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.30 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.30
% 2.14/2.30 RuleSystem INPUT:
% 2.14/2.30
% 2.14/2.30 Initial Rules:
% 2.14/2.30 #0: input, references = 11, size of lhs = 6:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_tc_prod-{F}(V2,V2,V5) | c_in-{T}(V3,V4,V5)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #1: input, references = 9, size of lhs = 9:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8) | c_in-{T}(V8,V4,V5)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #2: input, references = 7, size of lhs = 15:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Pair-{F}(V9,V11,V2,V2,V12), P_c_Pair-{F}(V10,V11,V2,V2,V13), c_in-{F}(V12,V4,V5), c_in-{F}(V13,V4,V5) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #3: input, references = 7, size of lhs = 12:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Pair-{F}(V11,V11,V2,V2,V12) | c_in-{T}(V12,V4,V5)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #4: input, references = 12, size of lhs = 18:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Pair-{F}(V0,V1,V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_tc_prod-{F}(V2,V2,V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Pair-{F}(V11,V12,V2,V2,V13), c_in-{F}(V13,V4,V5), P_c_Pair-{F}(V15,V14,V2,V2,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V11,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V12,V18), P_c_Pair-{F}(V17,V18,V2,V2,V19), c_in-{F}(V16,V4,V5) | c_in-{T}(V19,V4,V5)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #5: input, references = 19, size of lhs = 4:
% 2.14/2.30 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #6: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #7: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_v_ya-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #8: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_tc_Comb_Ocomb-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #9: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_c_Comb_Oparcontract-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #10: input, references = 5, size of lhs = 2:
% 2.14/2.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #11: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_v_z-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #12: input, references = 4, size of lhs = 0:
% 2.14/2.30 FALSE | EXISTS V0: P_v_w-{T}(V0)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #13: input, references = 7, size of lhs = 2:
% 2.14/2.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Comb_Ocomb_Oop_A_D_D-{T}(V0,V1,V2)
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 number of initial rules = 14
% 2.14/2.30
% 2.14/2.30 Simplifiers:
% 2.14/2.30 #14: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #15: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #16: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #17: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_v_ya-{F}(V0), P_v_ya-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #18: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_tc_Comb_Ocomb-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #19: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_c_Comb_Oparcontract-{F}(V0), P_c_Comb_Oparcontract-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #20: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #21: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_v_z-{F}(V0), P_v_z-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #22: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_v_w-{F}(V0), P_v_w-{F}(V1), V0 == V1 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #23: unsound, references = 3, size of lhs = 3:
% 2.14/2.30 P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 number of simplifiers = 10
% 2.14/2.30
% 2.14/2.30 Learnt:
% 2.14/2.30 #26: exists( #5, #24 ), references = 1, size of lhs = 10:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V0), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V0), P_c_Pair-{F}(V5,V6,V2,V2,V7) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #37: mergings( V4 == V13, V5 == V14, V6 == V15, V8 == V17, V9 == V18, V10 == V19, V11 == V0, V12 == V0; #28 ), references = 2, size of lhs = 17:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), c_in-{F}(V10,V5,V3), c_in-{F}(V11,V5,V3), P_c_Pair-{F}(V12,V13,V2,V2,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V12,V9), P_c_Pair-{F}(V14,V15,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V13,V16) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #45: mergings( V5 == V9, V6 == V10, V7 == V11; #41 ), references = 1, size of lhs = 13:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Pair-{F}(V5,V6,V2,V2,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V8), P_c_Pair-{F}(V9,V10,V2,V2,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V10,V11) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #50: mergings( V6 == V9, V3 == V1, V4 == V1; #46 ), references = 1, size of lhs = 8:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V4), P_c_Pair-{F}(V4,V4,V1,V1,V5) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #52: exists( #5, #46 ), references = 1, size of lhs = 7:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V4) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #54: exists( #10, #51 ), references = 1, size of lhs = 6:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_c_Comb_Oparcontract-{F}(V2), P_v_z-{F}(V3), P_v_w-{F}(V3) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #66: mergings( V4 == V13, V5 == V14, V6 == V15, V8 == V17, V9 == V18, V10 == V19, V11 == V0, V12 == V20; #57 ), references = 3, size of lhs = 19:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), P_c_Pair-{F}(V10,V14,V2,V2,V13), P_c_Pair-{F}(V15,V16,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V15,V9), P_c_Pair-{F}(V17,V18,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V16,V14) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #77: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V14, V9 == V13, V14 == V15, V10 == V17, V11 == V18; #68 ), references = 3, size of lhs = 16:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V6,V8), c_in-{F}(V11,V5,V3), P_c_Pair-{F}(V10,V12,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V7,V13), P_c_Pair-{F}(V9,V13,V2,V2,V14), c_in-{F}(V14,V5,V3) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #83: mergings( V7 == V10, V0 == V1, V1 == V9; #79 ), references = 1, size of lhs = 9:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V0), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V6) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #98: mergings( V4 == V10, V5 == V11, V2 == V12, V6 == V13, V0 == V15, V1 == V16, V8 == V17, V9 == V18; #88 ), references = 1, size of lhs = 16:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V6,V8), c_in-{F}(V11,V5,V3), P_c_Pair-{F}(V10,V12,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V7,V13), P_c_Pair-{F}(V9,V13,V2,V2,V14), P_c_Pair-{F}(V15,V15,V2,V2,V14) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #104: mergings( V4 == V10, V5 == V11, V6 == V12, V8 == V14, V9 == V15; #89 ), references = 1, size of lhs = 18:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), c_in-{F}(V10,V5,V3), c_in-{F}(V11,V5,V3), P_c_Pair-{F}(V12,V12,V2,V2,V13), P_c_Pair-{F}(V9,V14,V2,V2,V13), P_c_Pair-{F}(V15,V16,V2,V2,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V15,V8), P_c_Pair-{F}(V17,V18,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V16,V14) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #113: mergings( V5 == V10, V6 == V11, V7 == V12, V8 == V13, V13 == V14; #107 ), references = 2, size of lhs = 11:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Pair-{F}(V8,V8,V2,V2,V9), P_c_Pair-{F}(V10,V10,V2,V2,V9) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #128: mergings( V4 == V13, V5 == V14, V6 == V15, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V12 == V0; #117 ), references = 1, size of lhs = 19:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), P_c_Pair-{F}(V9,V14,V2,V2,V13), P_c_Pair-{F}(V15,V16,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V15,V10), P_c_Pair-{F}(V17,V18,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V16,V14) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #137: mergings( V4 == V13, V5 == V14, V6 == V15, V8 == V17, V9 == V18, V10 == V19, V11 == V20, V12 == V0; #118 ), references = 1, size of lhs = 23:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), c_in-{F}(V14,V5,V3), P_c_Pair-{F}(V15,V16,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V15,V10), P_c_Pair-{F}(V17,V18,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V16,V19), P_c_Pair-{F}(V20,V21,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V22,V20,V9), P_c_Pair-{F}(V22,V23,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V21,V19) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #145: mergings( V4 == V13, V5 == V14, V6 == V15, V8 == V17, V9 == V18, V11 == V19, V12 == V0; #119 ), references = 1, size of lhs = 21:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V11,V6,V9), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), c_in-{F}(V14,V5,V3), P_c_Pair-{F}(V11,V15,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V7,V16), P_c_Pair-{F}(V17,V18,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V17,V10), P_c_Pair-{F}(V19,V20,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V16) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #168: mergings( V4 == V13, V13 == V19, V5 == V14, V6 == V21, V14 == V20, V21 == V23, V8 == V15, V15 == V25, V9 == V16, V10 == V22, V16 == V26, V22 == V27, V11 == V17, V12 == V18, V17 == V28, V18 == V29; #149 ), references = 2, size of lhs = 27:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), c_in-{F}(V14,V5,V3), c_in-{F}(V15,V5,V3), P_c_Pair-{F}(V16,V17,V2,V2,V11), P_c_Pair-{F}(V18,V19,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V16,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V17,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V22,V20,V10), P_c_Pair-{F}(V22,V23,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V21,V24), P_c_Pair-{F}(V25,V26,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V27,V25,V9), P_c_Pair-{F}(V27,V28,V2,V2,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V28,V26,V24) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #185: mergings( V4 == V13, V13 == V19, V5 == V14, V6 == V21, V14 == V20, V21 == V23, V8 == V15, V15 == V25, V9 == V16, V10 == V22, V16 == V26, V22 == V27, V11 == V17, V12 == V18, V17 == V0, V18 == V28; #150 ), references = 1, size of lhs = 21:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V11,V9,V10), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), c_in-{F}(V14,V5,V3), P_c_Pair-{F}(V11,V15,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V16), P_c_Pair-{F}(V17,V18,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V17,V9), P_c_Pair-{F}(V19,V20,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V16) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #201: mergings( V4 == V13, V13 == V19, V5 == V14, V6 == V21, V14 == V20, V21 == V23, V8 == V15, V15 == V25, V9 == V16, V10 == V22, V16 == V26, V11 == V17, V12 == V18, V17 == V27, V18 == V28; #151 ), references = 2, size of lhs = 25:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Pair-{F}(V6,V7,V2,V2,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V11,V6,V9), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), c_in-{F}(V14,V5,V3), c_in-{F}(V15,V5,V3), P_c_Pair-{F}(V11,V16,V2,V2,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V7,V17), P_c_Pair-{F}(V18,V19,V2,V2,V12), P_c_Pair-{F}(V20,V21,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V19,V23), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V10), P_c_Pair-{F}(V24,V25,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V25,V23,V17) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #222: mergings( V4 == V8, V8 == V12, V12 == V16, V5 == V9, V6 == V18, V9 == V13, V18 == V19, V13 == V17, V19 == V20, V10 == V14, V14 == V22, V11 == V15, V15 == V23; #206 ), references = 1, size of lhs = 18:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V8,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V11,V6,V8), c_in-{F}(V12,V5,V3), P_c_Pair-{F}(V11,V13,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V7,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V14,V14), P_c_Pair-{F}(V10,V15,V2,V2,V16), c_in-{F}(V16,V5,V3) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #238: mergings( V4 == V8, V8 == V12, V12 == V16, V5 == V9, V6 == V18, V9 == V13, V18 == V19, V13 == V17, V19 == V20, V0 == V22, V1 == V23, V10 == V14, V11 == V15, V14 == V24, V15 == V25; #207 ), references = 1, size of lhs = 22:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V6,V8), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), P_c_Pair-{F}(V10,V14,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V7,V15), P_c_Pair-{F}(V16,V17,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V6,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V7,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V9), P_c_Pair-{F}(V20,V21,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V19,V15) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #257: mergings( V4 == V8, V8 == V13, V13 == V17, V17 == V21, V5 == V9, V6 == V10, V9 == V14, V10 == V23, V14 == V18, V23 == V24, V18 == V22, V24 == V25, V11 == V15, V15 == V19, V19 == V27, V12 == V16, V16 == V20, V20 == V28; #208 ), references = 1, size of lhs = 26:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V6,V10,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V7,V11,V7), P_c_Pair-{F}(V10,V11,V2,V2,V12), c_in-{F}(V12,V5,V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V6,V8), c_in-{F}(V14,V5,V3), c_in-{F}(V15,V5,V3), c_in-{F}(V16,V5,V3), P_c_Pair-{F}(V13,V17,V2,V2,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V7,V18), P_c_Pair-{F}(V19,V20,V2,V2,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V6,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V7,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V21,V9), P_c_Pair-{F}(V23,V24,V2,V2,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V18) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #268: mergings( V7 == V8, V8 == V12, V10 == V11, V11 == V13, V13 == V14; #261 ), references = 1, size of lhs = 11:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V8,V8) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #278: mergings( V5 == V12, V7 == V13, V6 == V9, V9 == V14, V8 == V10, V10 == V15, V15 == V16, V14 == V17, V16 == V18; #262 ), references = 1, size of lhs = 11:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V8,V8) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #291: mergings( V4 == V10, V5 == V11, V6 == V12, V8 == V14, V9 == V15; #284 ), references = 1, size of lhs = 24:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V6,V8), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), P_c_Pair-{F}(V10,V14,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V7,V15), P_c_Pair-{F}(V16,V16,V2,V2,V17), P_c_Pair-{F}(V18,V19,V2,V2,V17), P_c_Pair-{F}(V20,V21,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V19,V23), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V9), P_c_Pair-{F}(V24,V25,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V25,V23,V15) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #300: mergings( V4 == V8, V8 == V13, V5 == V9, V6 == V10, V9 == V14, V10 == V15, V11 == V17, V12 == V18; #285 ), references = 1, size of lhs = 24:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Pair-{F}(V0,V1,V2,V2,V4), P_c_Comb_Oparcontract-{F}(V5), P_v_z-{F}(V6), P_v_w-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V6,V8), c_in-{F}(V11,V5,V3), c_in-{F}(V12,V5,V3), c_in-{F}(V13,V5,V3), P_c_Pair-{F}(V10,V14,V2,V2,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V7,V15), P_c_Pair-{F}(V16,V16,V2,V2,V17), P_c_Pair-{F}(V18,V19,V2,V2,V17), P_c_Pair-{F}(V20,V21,V2,V2,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V18,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V19,V23), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V9), P_c_Pair-{F}(V24,V25,V2,V2,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V25,V23,V15) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #308: mergings( V7 == V10, V9 == V11, V11 == V12; #303 ), references = 1, size of lhs = 15:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V10,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V11,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V12,V11), P_c_Pair-{F}(V10,V12,V2,V2,V13), P_c_Pair-{F}(V14,V14,V2,V2,V13) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #312: mergings( V7 == V10, V9 == V11, V11 == V12; #304 ), references = 1, size of lhs = 15:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V10,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V11,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V12,V11), P_c_Pair-{F}(V10,V12,V2,V2,V13), P_c_Pair-{F}(V14,V14,V2,V2,V13) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #316: mergings( V7 == V8; #313 ), references = 2, size of lhs = 12:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V8,V5), P_c_Pair-{F}(V7,V8,V1,V1,V9), P_c_Pair-{F}(V10,V10,V1,V1,V9) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #318: mergings( V7 == V8; #314 ), references = 2, size of lhs = 12:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V8,V5), P_c_Pair-{F}(V7,V8,V1,V1,V9), P_c_Pair-{F}(V10,V10,V1,V1,V9) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #322: exists( #5, #113 ), references = 1, size of lhs = 9:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V6,V8) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #323: exists( #5, #316 ), references = 1, size of lhs = 9:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V5) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #324: exists( #5, #318 ), references = 1, size of lhs = 9:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V4,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V7,V5) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #326: exists( #13, #319 ), references = 1, size of lhs = 8:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V5,V7) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #328: exists( #13, #325 ), references = 1, size of lhs = 7:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_tc_prod-{F}(V2,V2,V3), P_c_Comb_Oparcontract-{F}(V4), P_v_z-{F}(V5), P_v_w-{F}(V6) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #330: exists( #10, #327 ), references = 1, size of lhs = 6:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4), P_v_w-{F}(V5) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #332: exists( #12, #329 ), references = 1, size of lhs = 5:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Comb_Oparcontract-{F}(V3), P_v_z-{F}(V4) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #334: exists( #11, #331 ), references = 1, size of lhs = 4:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2), P_c_Comb_Oparcontract-{F}(V3) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #336: exists( #9, #333 ), references = 1, size of lhs = 3:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1), P_tc_Comb_Ocomb-{F}(V2) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #338: exists( #8, #335 ), references = 1, size of lhs = 2:
% 2.14/2.30 P_v_x-{F}(V0), P_v_ya-{F}(V1) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #340: exists( #7, #337 ), references = 1, size of lhs = 1:
% 2.14/2.30 P_v_x-{F}(V0) | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 #342: exists( #6, #339 ), references = 1, size of lhs = 0:
% 2.14/2.30 FALSE | FALSE
% 2.14/2.30 (used 0 times, uses = {})
% 2.14/2.30
% 2.14/2.30 number of learnt formulas = 41
% 2.14/2.30
% 2.14/2.30
% 2.14/2.30 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.14/2.30
% 2.14/2.30 randbase = 1
%------------------------------------------------------------------------------