TSTP Solution File: COL115-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL115-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 15.46s 15.69s
% Output : Refutation 15.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL115-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 08:25:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 15.46/15.69 GeoParameters:
% 15.46/15.69
% 15.46/15.69 tptp_input = 1
% 15.46/15.69 tptp_output = 0
% 15.46/15.69 nonempty = 1
% 15.46/15.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.46/15.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 15.46/15.69
% 15.46/15.69
% 15.46/15.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.46/15.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.46/15.69
% 15.46/15.69 RuleSystem INPUT:
% 15.46/15.69
% 15.46/15.69 Initial Rules:
% 15.46/15.69 #0: input, references = 6, size of lhs = 17:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_c_Comb_Oparcontract-{F}(V8), P_tc_prod-{F}(V7,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Pair-{F}(V6,V13,V7,V7,V14), P_c_Pair-{F}(V12,V13,V7,V7,V15), c_in-{F}(V14,V8,V9), c_in-{F}(V15,V8,V9) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #1: input, references = 4, size of lhs = 14:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_c_Comb_Oparcontract-{F}(V8), P_tc_prod-{F}(V7,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Pair-{F}(V13,V13,V7,V7,V14) | c_in-{T}(V14,V8,V9)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #2: input, references = 7, size of lhs = 20:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_c_Comb_Oparcontract-{F}(V8), P_tc_prod-{F}(V7,V7,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V14,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V15,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V15,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V20,V21), P_c_Pair-{F}(V18,V21,V7,V7,V22) | c_in-{T}(V22,V8,V9)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #3: input, references = 8, size of lhs = 4:
% 15.46/15.69 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_c_Pair-{T}(V0,V1,V2,V3,V4)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #4: input, references = 19, size of lhs = 2:
% 15.46/15.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Comb_Ocomb_Oop_A_D_D-{T}(V0,V1,V2)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #5: input, references = 4, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_c_Comb_Ocomb_OS-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #6: input, references = 4, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #7: input, references = 4, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_v_ya-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #8: input, references = 5, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_v_z-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #9: input, references = 6, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_tc_Comb_Ocomb-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #10: input, references = 6, size of lhs = 0:
% 15.46/15.69 FALSE | EXISTS V0: P_c_Comb_Oparcontract-{T}(V0)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #11: input, references = 6, size of lhs = 2:
% 15.46/15.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_tc_prod-{T}(V0,V1,V2)
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 number of initial rules = 12
% 15.46/15.69
% 15.46/15.69 Simplifiers:
% 15.46/15.69 #12: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 c_in-{F}(V0,V1,V2), c_in-{F}(V3,V4,V5), V1 == V4 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #13: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_c_Pair-{F}(V0,V1,V2,V3,V4), P_c_Pair-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #14: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 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
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #15: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_c_Comb_Ocomb_OS-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #16: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #17: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_v_ya-{F}(V0), P_v_ya-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #18: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_v_z-{F}(V0), P_v_z-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #19: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_tc_Comb_Ocomb-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #20: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_c_Comb_Oparcontract-{F}(V0), P_c_Comb_Oparcontract-{F}(V1), V0 == V1 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #21: unsound, references = 3, size of lhs = 3:
% 15.46/15.69 P_tc_prod-{F}(V0,V1,V2), P_tc_prod-{F}(V0,V1,V5), V2 == V5 | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 number of simplifiers = 10
% 15.46/15.69
% 15.46/15.69 Learnt:
% 15.46/15.69 #34: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V0, V12 == V22, V13 == V23, V14 == V0; #23 ), references = 1, size of lhs = 19:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V16,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V18,V19) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #46: mergings( V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V23, V11 == V24, V12 == V19; #35 ), references = 1, size of lhs = 19:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V16,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V18,V19) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #59: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V12 == V23, V13 == V24, V14 == V0; #48 ), references = 2, size of lhs = 21:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), c_in-{F}(V13,V9,V8), P_c_Pair-{F}(V6,V14,V7,V7,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V19,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V19,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V19,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V21,V14) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #72: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V0, V12 == V22, V13 == V23, V14 == V24; #61 ), references = 3, size of lhs = 25:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V17,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V19,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V21,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V22,V23,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V25,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V25,V26), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V25,V27), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V26,V27,V20) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #84: mergings( V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18, V9 == V19, V10 == V23, V11 == V24, V12 == V25; #73 ), references = 3, size of lhs = 25:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V17,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V19,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V21,V22), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V22,V23,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V25,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V25,V26), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V25,V27), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V26,V27,V20) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #87: exists( #4, #72 ), references = 2, size of lhs = 23:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V5,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V5,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V18,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V20,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V22,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V22,V23), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V22,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V24,V17) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #88: exists( #4, #84 ), references = 1, size of lhs = 23:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V5,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V5,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V18,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V20,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V22,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V22,V23), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V22,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V24,V17) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #92: mergings( V10 == V14; #89 ), references = 1, size of lhs = 20:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_v_z-{F}(V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V4,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V4,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V4,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V8,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V14,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V18,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V18,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V18,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V20,V13) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #94: mergings( V10 == V14; #90 ), references = 1, size of lhs = 20:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_v_z-{F}(V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V4,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V4,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V4,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V8,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V14,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V17), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V18,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V18,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V18,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V19,V20,V13) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #96: exists( #4, #87 ), references = 2, size of lhs = 21:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V5,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V5,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V19,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V19,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V20,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V19,V11) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #99: mergings( V14 == V17; #97 ), references = 1, size of lhs = 18:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V5,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V5,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V13,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V15,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V17,V16) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #102: exists( #4, #72 ), references = 1, size of lhs = 23:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V17,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V20,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V22,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V22,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V23,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V12) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #103: exists( #4, #84 ), references = 1, size of lhs = 23:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V17,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V20,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V22,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V23,V22,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V21,V23,V24), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V24,V22,V12) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #117: mergings( V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V0, V12 == V22, V13 == V23, V14 == V24; #106 ), references = 1, size of lhs = 21:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), c_in-{F}(V13,V9,V8), P_c_Pair-{F}(V12,V14,V7,V7,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V19,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V19,V20), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V17,V19,V21), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V20,V21,V14) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #140: mergings( V3 == V14, V14 == V24, V4 == V15, V5 == V16, V15 == V25, V16 == V26, V6 == V17, V7 == V18, V17 == V27, V18 == V28, V8 == V19, V9 == V20, V11 == V21, V12 == V22, V13 == V23, V19 == V29, V20 == V30, V21 == V32, V22 == V33, V23 == V0; #119 ), references = 1, size of lhs = 19:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V4,V5,V6), P_tc_Comb_Ocomb-{F}(V7), P_tc_prod-{F}(V7,V7,V8), P_c_Comb_Oparcontract-{F}(V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V13,V14), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V15,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V16,V17,V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V17,V18), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V17,V19), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V18,V19,V12) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #156: mergings( V3 == V10, V10 == V17, V4 == V11, V5 == V12, V7 == V14, V11 == V18, V12 == V19, V14 == V24, V6 == V13, V8 == V15, V9 == V16, V13 == V20, V15 == V25, V16 == V26; #141 ), references = 1, size of lhs = 17:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V4), P_v_z-{F}(V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V5,V9), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V5,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V10,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V12,V13), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V13,V14,V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V12,V5,V15), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V14,V5,V16), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V15,V16,V11) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #169: mergings( V11 == V14, V14 == V20, V20 == V24, V3 == V5, V5 == V7, V4 == V6, V10 == V13, V12 == V15, V6 == V8, V13 == V19, V15 == V21; #157 ), references = 1, size of lhs = 14:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_v_z-{F}(V4), P_tc_Comb_Ocomb-{F}(V5), P_tc_prod-{F}(V5,V5,V6), P_c_Comb_Oparcontract-{F}(V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V4,V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V4,V10), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V4,V11), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V8,V11,V12), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V10,V11,V12) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #175: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9; #170 ), references = 3, size of lhs = 12:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V2), P_v_ya-{F}(V3), P_v_z-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V1,V4,V5), P_tc_Comb_Ocomb-{F}(V6), P_tc_prod-{F}(V6,V6,V7), P_c_Comb_Oparcontract-{F}(V8), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V9,V2), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V9,V4,V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V3,V4,V10) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #177: exists( #4, #170 ), references = 1, size of lhs = 7:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V0), P_v_ya-{F}(V0), P_v_z-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_tc_prod-{F}(V1,V1,V2), P_c_Comb_Oparcontract-{F}(V3) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #179: exists( #11, #176 ), references = 1, size of lhs = 6:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V0), P_v_ya-{F}(V0), P_v_z-{F}(V0), P_tc_Comb_Ocomb-{F}(V1), P_c_Comb_Oparcontract-{F}(V2) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #181: exists( #10, #178 ), references = 1, size of lhs = 5:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V0), P_v_ya-{F}(V0), P_v_z-{F}(V0), P_tc_Comb_Ocomb-{F}(V1) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #183: exists( #9, #180 ), references = 1, size of lhs = 4:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V0), P_v_ya-{F}(V0), P_v_z-{F}(V0) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #185: exists( #4, #175 ), references = 1, size of lhs = 8:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1), P_v_z-{F}(V2), P_tc_Comb_Ocomb-{F}(V3), P_tc_prod-{F}(V3,V3,V4), P_c_Comb_Oparcontract-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V6) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #187: exists( #11, #184 ), references = 1, size of lhs = 7:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1), P_v_z-{F}(V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Oparcontract-{F}(V4), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V5) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #189: exists( #4, #186 ), references = 1, size of lhs = 6:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1), P_v_z-{F}(V2), P_tc_Comb_Ocomb-{F}(V3), P_c_Comb_Oparcontract-{F}(V4) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #191: exists( #10, #188 ), references = 1, size of lhs = 5:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1), P_v_z-{F}(V2), P_tc_Comb_Ocomb-{F}(V3) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #193: exists( #9, #190 ), references = 1, size of lhs = 4:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1), P_v_z-{F}(V2) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #195: exists( #8, #192 ), references = 1, size of lhs = 3:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V1) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #197: exists( #4, #175 ), references = 1, size of lhs = 9:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_tc_prod-{F}(V4,V4,V5), P_c_Comb_Oparcontract-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V7), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V2,V3,V8) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #199: exists( #4, #196 ), references = 1, size of lhs = 8:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_tc_prod-{F}(V4,V4,V5), P_c_Comb_Oparcontract-{F}(V6), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V7) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #201: exists( #11, #198 ), references = 1, size of lhs = 7:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_c_Comb_Oparcontract-{F}(V5), P_c_Comb_Ocomb_Oop_A_D_D-{F}(V0,V1,V6) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #203: exists( #4, #200 ), references = 1, size of lhs = 6:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3), P_tc_Comb_Ocomb-{F}(V4), P_c_Comb_Oparcontract-{F}(V5) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #205: exists( #10, #202 ), references = 1, size of lhs = 5:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3), P_tc_Comb_Ocomb-{F}(V4) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #207: exists( #9, #204 ), references = 1, size of lhs = 4:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2), P_v_z-{F}(V3) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #209: exists( #8, #206 ), references = 1, size of lhs = 3:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1), P_v_ya-{F}(V2) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #211: exists( #7, #208 ), references = 1, size of lhs = 2:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0), P_v_x-{F}(V1) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #213: exists( #6, #210 ), references = 1, size of lhs = 1:
% 15.46/15.69 P_c_Comb_Ocomb_OS-{F}(V0) | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 #215: exists( #5, #212 ), references = 1, size of lhs = 0:
% 15.46/15.69 FALSE | FALSE
% 15.46/15.69 (used 0 times, uses = {})
% 15.46/15.69
% 15.46/15.69 number of learnt formulas = 38
% 15.46/15.69
% 15.46/15.69
% 15.46/15.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.46/15.69
% 15.46/15.69 randbase = 1
%------------------------------------------------------------------------------