TSTP Solution File: SET834-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 06:16:47 EDT 2022
% Result : Unsatisfiable 21.39s 21.60s
% Output : Refutation 21.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 : Sat Jul 23 01:56:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 21.39/21.60 GeoParameters:
% 21.39/21.60
% 21.39/21.60 tptp_input = 1
% 21.39/21.60 tptp_output = 0
% 21.39/21.60 nonempty = 1
% 21.39/21.60 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.39/21.60 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 21.39/21.60
% 21.39/21.60
% 21.39/21.60 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.39/21.60 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.39/21.60
% 21.39/21.60 RuleSystem INPUT:
% 21.39/21.60
% 21.39/21.60 Initial Rules:
% 21.39/21.60 #0: input, references = 11, size of lhs = 2:
% 21.39/21.60 c_in-{F}(V0,V1,V2), P_c_union-{F}(V3,V1,V2,V4) | c_in-{T}(V0,V4,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #1: input, references = 6, size of lhs = 2:
% 21.39/21.60 c_in-{F}(V0,V2,V1), P_c_union-{F}(V2,V3,V1,V4) | c_in-{T}(V0,V4,V1)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #2: input, references = 9, size of lhs = 2:
% 21.39/21.60 P_c_union-{F}(V2,V3,V1,V4), c_in-{F}(V0,V4,V1) | c_in-{T}(V0,V2,V1), c_in-{T}(V0,V3,V1)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #3: input, references = 33, size of lhs = 3:
% 21.39/21.60 P_tc_set-{F}(V1,V3), c_lessequals-{F}(V2,V0,V3), c_in-{F}(V4,V2,V1) | c_in-{T}(V4,V0,V1)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #4: input, references = 16, size of lhs = 2:
% 21.39/21.60 P_c_Main_OsubsetI__1-{F}(V2,V0,V1,V3), P_tc_set-{F}(V1,V4) | c_in-{T}(V3,V2,V1), c_lessequals-{T}(V2,V0,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #5: input, references = 23, size of lhs = 3:
% 21.39/21.60 P_c_Main_OsubsetI__1-{F}(V2,V0,V1,V3), P_tc_set-{F}(V1,V4), c_in-{F}(V3,V0,V1) | c_lessequals-{T}(V2,V0,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #6: input, references = 4, size of lhs = 3:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2) | c_in-{T}(V0,V1,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #7: input, references = 15, size of lhs = 5:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), c_in-{F}(V0,V3,V2) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #8: input, references = 16, size of lhs = 6:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_Y-{F}(V4), c_in-{F}(V0,V4,V2) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #9: input, references = 19, size of lhs = 8:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_Y-{F}(V4), P_tc_set-{F}(V2,V5), c_lessequals-{F}(V3,V6,V5), c_lessequals-{F}(V4,V6,V5) | c_lessequals-{T}(V1,V6,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #10: input, references = 4, size of lhs = 3:
% 21.39/21.60 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_union-{T}(V0,V1,V2,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #11: input, references = 6, size of lhs = 1:
% 21.39/21.60 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #12: input, references = 12, size of lhs = 3:
% 21.39/21.60 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #13: input, references = 4, size of lhs = 0:
% 21.39/21.60 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #14: input, references = 4, size of lhs = 0:
% 21.39/21.60 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #15: input, references = 4, size of lhs = 0:
% 21.39/21.60 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #16: input, references = 4, size of lhs = 0:
% 21.39/21.60 FALSE | EXISTS V0: P_v_Z-{T}(V0)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #17: input, references = 4, size of lhs = 0:
% 21.39/21.60 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 number of initial rules = 18
% 21.39/21.60
% 21.39/21.60 Simplifiers:
% 21.39/21.60 #18: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_c_union-{F}(V0,V1,V2,V3), P_c_union-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #19: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #20: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #21: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #22: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #23: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #24: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_v_Z-{F}(V0), P_v_Z-{F}(V1), V0 == V1 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #25: unsound, references = 3, size of lhs = 3:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 number of simplifiers = 8
% 21.39/21.60
% 21.39/21.60 Learnt:
% 21.39/21.60 #39: mergings( V8 == V4; #36 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V0,V4,V2), P_v_Z-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Main_OsubsetI__1-{F}(V4,V5,V6,V7), P_c_Main_OsubsetI__1-{F}(V8,V9,V6,V7), P_c_union-{F}(V10,V8,V6,V5) | c_lessequals-{T}(V8,V9,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #41: mergings( V8 == V4; #37 ), references = 1, size of lhs = 11:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V0,V4,V2), P_v_Z-{F}(V5), P_v_Y-{F}(V6), P_tc_set-{F}(V7,V3), P_c_Main_OsubsetI__1-{F}(V4,V6,V7,V8), P_c_Main_OsubsetI__1-{F}(V9,V10,V7,V8), P_c_union-{F}(V11,V9,V7,V6) | c_lessequals-{T}(V9,V10,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #52: mergings( V7 == V8, V4 == V9, V5 == V10, V6 == V11; #46 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_c_union-{F}(V7,V5,V4,V6) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #58: mergings( V7 == V8, V4 == V9, V5 == V10, V6 == V11, V1 == V13; #47 ), references = 1, size of lhs = 9:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), c_in-{F}(V1,V6,V3), P_c_union-{F}(V7,V6,V5,V0) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #65: disj( #2, #5+#3+#7 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V0,V4,V2), P_v_Z-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Main_OsubsetI__1-{F}(V4,V5,V6,V7), c_in-{F}(V7,V8,V6), P_c_union-{F}(V5,V9,V6,V8) | c_in-{T}(V7,V9,V6)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #66: disj( #2, #5+#3+#8 ), references = 1, size of lhs = 11:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V0,V4,V2), P_v_Z-{F}(V5), P_v_Y-{F}(V6), P_tc_set-{F}(V7,V3), P_c_Main_OsubsetI__1-{F}(V4,V6,V7,V8), c_in-{F}(V8,V9,V7), P_c_union-{F}(V6,V10,V7,V9) | c_in-{T}(V8,V10,V7)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #84: mergings( V8 == V14, V14 == V4, V4 == V17, V5 == V11, V6 == V12, V7 == V13, V10 == V16; #75 ), references = 1, size of lhs = 13:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V3,V2), P_tc_set-{F}(V2,V4), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_tc_set-{F}(V7,V4), P_c_Main_OsubsetI__1-{F}(V3,V6,V7,V8), P_c_Main_OsubsetI__1-{F}(V5,V6,V7,V8), P_c_union-{F}(V6,V6,V7,V9), c_lessequals-{F}(V10,V9,V4), P_c_Main_OsubsetI__1-{F}(V10,V11,V7,V8) | c_lessequals-{T}(V10,V11,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #92: mergings( V8 == V14, V14 == V4, V4 == V18, V5 == V11, V6 == V12, V7 == V13, V10 == V16; #76 ), references = 1, size of lhs = 14:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V3,V2), P_tc_set-{F}(V2,V4), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_v_Y-{F}(V7), P_tc_set-{F}(V8,V4), P_c_Main_OsubsetI__1-{F}(V3,V6,V8,V9), P_c_Main_OsubsetI__1-{F}(V5,V7,V8,V9), P_c_union-{F}(V6,V7,V8,V10), c_lessequals-{F}(V11,V10,V4), P_c_Main_OsubsetI__1-{F}(V11,V12,V8,V9) | c_lessequals-{T}(V11,V12,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #108: mergings( V7 == V11, V11 == V12, V12 == V13, V4 == V8, V8 == V15, V5 == V9, V9 == V16, V6 == V10, V10 == V17; #97 ), references = 6, size of lhs = 9:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_c_union-{F}(V6,V6,V4,V7), c_lessequals-{F}(V5,V7,V3) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #119: mergings( V7 == V11, V11 == V12, V12 == V13, V4 == V8, V8 == V15, V5 == V9, V9 == V16, V6 == V10, V10 == V17, V1 == V18; #98 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_union-{F}(V0,V0,V5,V6), c_lessequals-{F}(V7,V6,V4), c_in-{F}(V1,V7,V3) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #129: disj( #4, #3+#7 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_c_Main_OsubsetI__1-{F}(V5,V6,V4,V7) | c_in-{T}(V7,V5,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #130: disj( #4, #3+#8 ), references = 1, size of lhs = 9:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_v_Y-{F}(V7), P_c_Main_OsubsetI__1-{F}(V5,V7,V4,V8) | c_in-{T}(V8,V5,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #172: mergings( V9 == V4, V5 == V10, V6 == V11, V7 == V12, V8 == V0; #165 ), references = 3, size of lhs = 10:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_c_Main_OsubsetI__1-{F}(V0,V0,V5,V6), P_c_Main_OsubsetI__1-{F}(V0,V7,V5,V6) | c_lessequals-{T}(V0,V7,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #179: mergings( V9 == V4, V5 == V10, V6 == V11, V7 == V12, V8 == V13, V13 == V0; #166 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_v_Z-{F}(V4), P_v_Y-{F}(V4), P_tc_set-{F}(V5,V3), P_c_Main_OsubsetI__1-{F}(V4,V4,V5,V6), P_c_Main_OsubsetI__1-{F}(V4,V7,V5,V6) | c_lessequals-{T}(V4,V7,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #194: mergings( V3 == V7, V7 == V10, V4 == V8, V8 == V11, V5 == V9, V9 == V12; #186 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #202: mergings( V3 == V7, V7 == V10, V4 == V8, V8 == V11, V5 == V9, V9 == V12, V0 == V13; #187 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #211: mergings( V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13; #203 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #219: mergings( V2 == V7, V7 == V11, V3 == V8, V8 == V12, V4 == V9, V9 == V13, V10 == V14; #204 ), references = 1, size of lhs = 8:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_Z-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #226: mergings( V2 == V4, V4 == V7, V3 == V5, V5 == V8; #220 ), references = 1, size of lhs = 6:
% 21.39/21.60 P_t_a-{F}(V0), P_v_Y-{F}(V1), P_v_Z-{F}(V1), P_v_x-{F}(V2), P_v_X-{F}(V3), c_in-{F}(V2,V3,V0) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #232: disj( #4, input ), references = 1, size of lhs = 7:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_Z-{F}(V4), P_v_Y-{F}(V5), P_c_Main_OsubsetI__1-{F}(V5,V6,V2,V0) | c_lessequals-{T}(V5,V6,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #240: mergings( V5 == V9, V6 == V10, V7 == V11, V0 == V13; #235 ), references = 1, size of lhs = 12:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_Z-{F}(V7), P_c_union-{F}(V7,V7,V6,V8), c_lessequals-{F}(V0,V8,V4), P_c_Main_OsubsetI__1-{F}(V7,V8,V5,V9) | c_in-{T}(V9,V7,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #259: mergings( V8 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V10 == V15, V15 == V20, V6 == V11, V11 == V16, V16 == V21, V13 == V0, V0 == V23, V7 == V17; #245 ), references = 2, size of lhs = 14:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_Z-{F}(V8), P_c_union-{F}(V8,V8,V5,V9), c_lessequals-{F}(V0,V9,V4), P_c_union-{F}(V8,V8,V7,V9), P_c_union-{F}(V10,V8,V6,V9) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #263: disj( #4, mergings( V8 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V10, V10 == V15, V15 == V20, V6 == V11, V11 == V16, V16 == V21, V13 == V0, V0 == V23, V7 == V17; #245 ) ), references = 1, size of lhs = 15:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_v_Z-{F}(V9), P_c_union-{F}(V9,V9,V6,V10), P_c_union-{F}(V9,V9,V8,V10), P_c_Main_OsubsetI__1-{F}(V0,V10,V5,V11), P_c_union-{F}(V12,V9,V7,V10) | c_in-{T}(V11,V0,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #272: mergings( V6 == V15, V3 == V12, V4 == V13, V5 == V14, V10 == V19; #266 ), references = 1, size of lhs = 20:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_tc_set-{F}(V8,V4), P_tc_set-{F}(V9,V4), P_tc_set-{F}(V10,V4), P_tc_set-{F}(V11,V4), P_v_Z-{F}(V12), P_c_union-{F}(V12,V12,V5,V0), P_c_union-{F}(V12,V12,V7,V0), P_c_union-{F}(V12,V12,V9,V0), P_c_union-{F}(V12,V12,V11,V0), P_c_union-{F}(V13,V12,V6,V0), P_c_union-{F}(V14,V12,V10,V0) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #281: disj( #2, input ), references = 5, size of lhs = 7:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_Y-{F}(V4), c_in-{F}(V0,V5,V2), P_c_union-{F}(V6,V4,V2,V5) | c_in-{T}(V0,V6,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #287: disj( #4, input ), references = 1, size of lhs = 6:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_v_Z-{F}(V4), P_c_Main_OsubsetI__1-{F}(V4,V5,V2,V0) | c_lessequals-{T}(V4,V5,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #299: mergings( V5 == V9, V6 == V10, V7 == V11, V0 == V12, V8 == V1; #293 ), references = 3, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_v_Y-{F}(V6), c_lessequals-{F}(V6,V6,V3), P_c_Main_OsubsetI__1-{F}(V5,V6,V4,V7) | c_in-{T}(V7,V5,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #318: mergings( V7 == V12, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V10 == V15, V0 == V16, V11 == V1; #308 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_v_Y-{F}(V6), c_lessequals-{F}(V6,V6,V3), P_c_union-{F}(V5,V7,V4,V6) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #340: mergings( V7 == V12, V4 == V8, V8 == V13, V5 == V9, V9 == V14, V6 == V10, V10 == V15, V0 == V16, V11 == V1; #330 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_v_Y-{F}(V6), c_lessequals-{F}(V6,V6,V3), P_c_union-{F}(V7,V5,V4,V6) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #348: disj( #2, input ), references = 1, size of lhs = 6:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), c_in-{F}(V0,V4,V2), P_c_union-{F}(V5,V3,V2,V4) | c_in-{T}(V0,V5,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #363: mergings( V5 == V9, V6 == V10, V7 == V11, V8 == V1; #358 ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_v_Z-{F}(V6), c_lessequals-{F}(V6,V6,V4), P_c_Main_OsubsetI__1-{F}(V0,V6,V5,V7) | c_in-{T}(V7,V0,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #387: mergings( V8 == V4; #384 ), references = 1, size of lhs = 9:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), c_in-{F}(V0,V4,V2), P_v_Z-{F}(V5), P_tc_set-{F}(V6,V3), P_c_Main_OsubsetI__1-{F}(V4,V5,V6,V7), P_c_Main_OsubsetI__1-{F}(V5,V8,V6,V7) | c_lessequals-{T}(V5,V8,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #390: mergings( V8 == V10, V10 == V4; #385 ), references = 1, size of lhs = 13:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V3,V2), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V4), P_v_Z-{F}(V6), P_c_union-{F}(V6,V6,V5,V7), P_tc_set-{F}(V8,V4), P_c_union-{F}(V9,V10,V8,V7), P_c_Main_OsubsetI__1-{F}(V10,V7,V8,V11), P_c_Main_OsubsetI__1-{F}(V3,V10,V8,V11), P_c_Main_OsubsetI__1-{F}(V10,V12,V8,V11) | c_lessequals-{T}(V10,V12,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #407: disj( #2, mergings( V7 == V11, V11 == V12, V12 == V13, V4 == V8, V8 == V15, V5 == V9, V9 == V16, V6 == V10, V10 == V17; #97 ) ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_c_union-{F}(V5,V5,V4,V6), c_lessequals-{F}(V7,V6,V3), c_in-{F}(V0,V8,V2), P_c_union-{F}(V9,V7,V2,V8) | c_in-{T}(V0,V9,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #448: disj( #2, input ), references = 3, size of lhs = 6:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), c_in-{F}(V0,V4,V2), P_c_union-{F}(V3,V5,V2,V4) | c_in-{T}(V0,V5,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #449: disj( #2, mergings( V7 == V11, V11 == V12, V12 == V13, V4 == V8, V8 == V15, V5 == V9, V9 == V16, V6 == V10, V10 == V17; #97 ) ), references = 1, size of lhs = 10:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_c_union-{F}(V5,V5,V4,V6), c_lessequals-{F}(V7,V6,V3), c_in-{F}(V0,V8,V2), P_c_union-{F}(V7,V9,V2,V8) | c_in-{T}(V0,V9,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #450: disj( #2, mergings( V7 == V8, V4 == V9, V5 == V10, V6 == V11; #46 ) ), references = 1, size of lhs = 9:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), c_in-{F}(V0,V6,V2), P_c_union-{F}(V7,V8,V2,V6), P_c_union-{F}(V9,V7,V4,V5) | c_in-{T}(V0,V8,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #465: disj( #2, input ), references = 1, size of lhs = 7:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_Y-{F}(V4), c_in-{F}(V0,V5,V2), P_c_union-{F}(V4,V6,V2,V5) | c_in-{T}(V0,V6,V2)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #547: mergings( V10 == V4, V5 == V14, V6 == V11, V11 == V15, V7 == V16, V8 == V12, V12 == V17, V9 == V13; #536 ), references = 1, size of lhs = 13:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_v_Z-{F}(V5), P_c_union-{F}(V5,V0,V3,V6), c_lessequals-{F}(V5,V6,V4), P_tc_set-{F}(V7,V4), P_c_Main_OsubsetI__1-{F}(V0,V6,V7,V8), P_c_Main_OsubsetI__1-{F}(V9,V10,V7,V8), P_c_union-{F}(V11,V9,V7,V6) | c_lessequals-{T}(V9,V10,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #556: mergings( V10 == V4, V5 == V13, V6 == V11, V11 == V14, V7 == V15, V8 == V12, V12 == V16, V9 == V17; #537 ), references = 1, size of lhs = 13:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_v_Z-{F}(V4), P_v_Y-{F}(V5), P_c_union-{F}(V4,V5,V2,V6), c_lessequals-{F}(V4,V6,V3), P_tc_set-{F}(V7,V3), P_c_Main_OsubsetI__1-{F}(V5,V6,V7,V8), P_c_Main_OsubsetI__1-{F}(V9,V10,V7,V8), P_c_union-{F}(V11,V9,V7,V6) | c_lessequals-{T}(V9,V10,V3)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #566: mergings( V10 == V17, V17 == V4, V5 == V14, V6 == V11, V11 == V15, V7 == V16, V8 == V12, V12 == V19, V9 == V13; #538 ), references = 1, size of lhs = 16:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_v_Z-{F}(V6), P_c_union-{F}(V6,V6,V5,V7), c_lessequals-{F}(V8,V7,V4), P_c_union-{F}(V8,V0,V3,V9), c_lessequals-{F}(V6,V9,V4), P_tc_set-{F}(V10,V4), P_c_Main_OsubsetI__1-{F}(V0,V9,V10,V11), P_c_Main_OsubsetI__1-{F}(V12,V13,V10,V11), P_c_union-{F}(V14,V12,V10,V9) | c_lessequals-{T}(V12,V13,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #601: mergings( V8 == V16, V4 == V12, V12 == V17, V17 == V25, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V26, V6 == V14, V14 == V19, V19 == V27, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V28, V11 == V0, V0 == V24; #579 ), references = 2, size of lhs = 11:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_v_Z-{F}(V6), P_c_union-{F}(V6,V0,V3,V7), c_lessequals-{F}(V6,V7,V4), P_c_union-{F}(V8,V0,V5,V7) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #621: mergings( V8 == V16, V4 == V12, V12 == V17, V17 == V24, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V25, V6 == V14, V14 == V19, V19 == V26, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V27, V11 == V0, V0 == V28; #580 ), references = 2, size of lhs = 11:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_v_Z-{F}(V5), P_v_Y-{F}(V6), P_c_union-{F}(V5,V6,V2,V7), c_lessequals-{F}(V5,V7,V3), P_c_union-{F}(V8,V6,V4,V7) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #642: mergings( V8 == V16, V16 == V28, V4 == V12, V12 == V17, V17 == V25, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V26, V6 == V14, V14 == V19, V19 == V27, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V30, V11 == V0, V0 == V24; #581 ), references = 1, size of lhs = 15:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_Z-{F}(V7), P_c_union-{F}(V7,V0,V3,V8), c_lessequals-{F}(V7,V8,V4), P_c_union-{F}(V9,V0,V5,V8), P_c_union-{F}(V7,V7,V6,V10), c_lessequals-{F}(V11,V10,V4), P_c_union-{F}(V11,V0,V3,V8) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #652: disj( #4, mergings( V8 == V16, V4 == V12, V12 == V17, V17 == V25, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V26, V6 == V14, V14 == V19, V19 == V27, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V28, V11 == V0, V0 == V24; #579 ) ), references = 1, size of lhs = 12:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_Z-{F}(V7), P_c_union-{F}(V7,V0,V3,V8), P_c_Main_OsubsetI__1-{F}(V7,V8,V5,V9), P_c_union-{F}(V10,V0,V6,V8) | c_in-{T}(V9,V7,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #653: disj( #4, mergings( V8 == V16, V4 == V12, V12 == V17, V17 == V24, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V25, V6 == V14, V14 == V19, V19 == V26, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V27, V11 == V0, V0 == V28; #580 ) ), references = 1, size of lhs = 12:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_Z-{F}(V6), P_v_Y-{F}(V7), P_c_union-{F}(V6,V7,V2,V8), P_c_Main_OsubsetI__1-{F}(V6,V8,V4,V9), P_c_union-{F}(V10,V7,V5,V8) | c_in-{T}(V9,V6,V4)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #654: disj( #4, mergings( V8 == V16, V16 == V28, V4 == V12, V12 == V17, V17 == V25, V5 == V9, V9 == V13, V13 == V18, V18 == V22, V22 == V26, V6 == V14, V14 == V19, V19 == V27, V7 == V10, V10 == V15, V15 == V20, V20 == V23, V23 == V30, V11 == V0, V0 == V24; #581 ) ), references = 1, size of lhs = 16:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_Z-{F}(V8), P_c_union-{F}(V8,V0,V3,V9), P_c_Main_OsubsetI__1-{F}(V8,V9,V5,V10), P_c_union-{F}(V11,V0,V6,V9), P_c_union-{F}(V8,V8,V7,V12), c_lessequals-{F}(V13,V12,V4), P_c_union-{F}(V13,V0,V3,V9) | c_in-{T}(V10,V8,V5)
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #672: mergings( V8 == V15, V5 == V12, V6 == V13, V7 == V14, V4 == V11; #664 ), references = 1, size of lhs = 14:
% 21.39/21.60 P_v_Y-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), P_t_a-{F}(V3), c_in-{F}(V1,V2,V3), P_tc_set-{F}(V3,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_tc_set-{F}(V7,V4), P_v_Z-{F}(V8), P_c_union-{F}(V8,V0,V3,V9), P_c_union-{F}(V10,V0,V5,V9), P_c_union-{F}(V11,V0,V7,V9), P_c_union-{F}(V8,V12,V6,V9) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #678: mergings( V8 == V14, V5 == V11, V6 == V12, V7 == V13, V4 == V16; #665 ), references = 1, size of lhs = 14:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_tc_set-{F}(V6,V3), P_v_Z-{F}(V7), P_v_Y-{F}(V8), P_c_union-{F}(V7,V8,V2,V9), P_c_union-{F}(V10,V8,V4,V9), P_c_union-{F}(V11,V8,V6,V9), P_c_union-{F}(V7,V12,V5,V9) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #684: mergings( V6 == V9, V4 == V7, V5 == V8; #679 ), references = 1, size of lhs = 7:
% 21.39/21.60 P_t_a-{F}(V0), P_v_Y-{F}(V1), P_v_x-{F}(V2), P_v_X-{F}(V3), c_in-{F}(V2,V3,V0), P_tc_set-{F}(V0,V4), P_v_Z-{F}(V5) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #689: mergings( V2 == V5, V3 == V6; #685 ), references = 1, size of lhs = 6:
% 21.39/21.60 P_t_a-{F}(V0), P_v_Y-{F}(V1), P_v_x-{F}(V2), P_v_X-{F}(V3), c_in-{F}(V2,V3,V0), P_v_Z-{F}(V4) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #694: mergings( V1 == V4, V2 == V5; #690 ), references = 1, size of lhs = 5:
% 21.39/21.60 P_t_a-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), c_in-{F}(V1,V2,V0), P_v_Z-{F}(V3) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #699: mergings( V1 == V4, V2 == V5; #695 ), references = 1, size of lhs = 4:
% 21.39/21.60 P_t_a-{F}(V0), P_v_x-{F}(V1), P_v_X-{F}(V2), c_in-{F}(V1,V2,V0) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #704: exists( #15, #700 ), references = 1, size of lhs = 2:
% 21.39/21.60 P_v_x-{F}(V0), P_v_X-{F}(V1) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #707: exists( #14, #702 ), references = 1, size of lhs = 1:
% 21.39/21.60 P_v_x-{F}(V0) | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 #710: exists( #13, #705 ), references = 1, size of lhs = 0:
% 21.39/21.60 FALSE | FALSE
% 21.39/21.60 (used 0 times, uses = {})
% 21.39/21.60
% 21.39/21.60 number of learnt formulas = 56
% 21.39/21.60
% 21.39/21.60
% 21.39/21.60 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.39/21.60
% 21.39/21.60 randbase = 1
%------------------------------------------------------------------------------