TSTP Solution File: SET830-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n011.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 3.97s 4.15s
% Output : Refutation 3.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n011.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 01:48:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.97/4.15 GeoParameters:
% 3.97/4.15
% 3.97/4.15 tptp_input = 1
% 3.97/4.15 tptp_output = 0
% 3.97/4.15 nonempty = 1
% 3.97/4.15 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.15 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.97/4.15
% 3.97/4.15
% 3.97/4.15 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.15 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.15
% 3.97/4.15 RuleSystem INPUT:
% 3.97/4.15
% 3.97/4.15 Initial Rules:
% 3.97/4.15 #0: input, references = 8, size of lhs = 2:
% 3.97/4.15 P_c_inter-{F}(V3,V1,V2,V4), c_in-{F}(V0,V4,V2) | c_in-{T}(V0,V1,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #1: input, references = 9, size of lhs = 2:
% 3.97/4.15 P_c_inter-{F}(V1,V3,V2,V4), c_in-{F}(V0,V4,V2) | c_in-{T}(V0,V1,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #2: input, references = 4, size of lhs = 3:
% 3.97/4.15 c_in-{F}(V0,V1,V2), P_c_inter-{F}(V3,V1,V2,V4), c_in-{F}(V0,V3,V2) | c_in-{T}(V0,V4,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #3: input, references = 18, size of lhs = 3:
% 3.97/4.15 P_tc_set-{F}(V2,V3), c_lessequals-{F}(V0,V1,V3), c_in-{F}(V4,V0,V2) | c_in-{T}(V4,V1,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #4: input, references = 12, size of lhs = 2:
% 3.97/4.15 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_tc_set-{F}(V2,V4) | c_in-{T}(V3,V0,V2), c_lessequals-{T}(V0,V1,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #5: input, references = 18, size of lhs = 3:
% 3.97/4.15 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_tc_set-{F}(V2,V4), c_in-{F}(V3,V1,V2) | c_lessequals-{T}(V0,V1,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #6: input, references = 4, size of lhs = 3:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2) | c_in-{T}(V0,V1,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #7: input, references = 4, size of lhs = 4:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3) | c_in-{T}(V0,V3,V2)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #8: input, references = 10, size of lhs = 6:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_X-{F}(V4), c_in-{F}(V0,V4,V2) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #9: input, references = 13, size of lhs = 8:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_v_Z-{F}(V3), P_v_X-{F}(V4), P_tc_set-{F}(V2,V5), c_lessequals-{F}(V6,V3,V5), c_lessequals-{F}(V6,V1,V5) | c_lessequals-{T}(V6,V4,V5)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #10: input, references = 4, size of lhs = 3:
% 3.97/4.15 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_inter-{T}(V0,V1,V2,V3)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #11: input, references = 5, size of lhs = 1:
% 3.97/4.15 #-{F} V0 | EXISTS V1: P_tc_set-{T}(V0,V1)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #12: input, references = 10, size of lhs = 3:
% 3.97/4.15 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Main_OsubsetI__1-{T}(V0,V1,V2,V3)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #13: input, references = 4, size of lhs = 0:
% 3.97/4.15 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #14: input, references = 4, size of lhs = 0:
% 3.97/4.15 FALSE | EXISTS V0: P_v_Y-{T}(V0)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #15: input, references = 4, size of lhs = 0:
% 3.97/4.15 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #16: input, references = 4, size of lhs = 0:
% 3.97/4.15 FALSE | EXISTS V0: P_v_Z-{T}(V0)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #17: input, references = 5, size of lhs = 0:
% 3.97/4.15 FALSE | EXISTS V0: P_v_X-{T}(V0)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 number of initial rules = 18
% 3.97/4.15
% 3.97/4.15 Simplifiers:
% 3.97/4.15 #18: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_c_inter-{F}(V0,V1,V2,V3), P_c_inter-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #19: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_tc_set-{F}(V0,V1), P_tc_set-{F}(V0,V3), V1 == V3 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #20: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V3), P_c_Main_OsubsetI__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #21: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #22: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_v_Y-{F}(V0), P_v_Y-{F}(V1), V0 == V1 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #23: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #24: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_v_Z-{F}(V0), P_v_Z-{F}(V1), V0 == V1 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #25: unsound, references = 3, size of lhs = 3:
% 3.97/4.15 P_v_X-{F}(V0), P_v_X-{F}(V1), V0 == V1 | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 number of simplifiers = 8
% 3.97/4.15
% 3.97/4.15 Learnt:
% 3.97/4.15 #33: disj( #4, #3+#8 ), references = 1, size of lhs = 9:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_X-{F}(V7), P_c_Main_OsubsetI__1-{F}(V5,V7,V4,V8) | c_in-{T}(V8,V5,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #44: mergings( V7 == V12, V4 == V9, V5 == V10, V6 == V11, V8 == V13; #38 ), references = 7, size of lhs = 9:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_v_X-{F}(V6), c_in-{F}(V0,V7,V2), P_c_inter-{F}(V8,V6,V4,V7) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #59: mergings( V5 == V7, V1 == V8, V6 == V9, V8 == V10; #53 ), references = 1, size of lhs = 9:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_Z-{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_c_Main_OsubsetI__1-{F}(V5,V1,V4,V6), P_v_X-{F}(V7) | c_in-{T}(V6,V5,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #66: mergings( V4 == V11, V5 == V8, V1 == V9, V6 == V10, V9 == V13, V7 == V14; #54 ), references = 1, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_Z-{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_c_Main_OsubsetI__1-{F}(V3,V1,V5,V6), P_tc_set-{F}(V7,V4), P_v_X-{F}(V8), P_c_inter-{F}(V9,V8,V7,V8) | c_in-{T}(V6,V3,V5)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #89: mergings( V5 == V13, V3 == V6, V6 == V11, V11 == V14, V7 == V0, V0 == V15, V4 == V8, V8 == V12, V12 == V16, V9 == V15, V15 == V17, V10 == V18; #75 ), references = 1, size of lhs = 8:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_Z-{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_X-{F}(V5) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #104: mergings( V5 == V14, V14 == V18, V3 == V6, V6 == V11, V11 == V15, V7 == V0, V0 == V16, V4 == V8, V8 == V12, V12 == V17, V9 == V16, V16 == V20, V10 == V13, V13 == V21; #76 ), references = 1, size of lhs = 10:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_v_Z-{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_X-{F}(V6), P_c_inter-{F}(V7,V6,V5,V6) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #114: mergings( V2 == V3, V3 == V7, V7 == V9, V4 == V8, V8 == V10, V5 == V10, V10 == V11, V6 == V12; #105 ), references = 1, size of lhs = 6:
% 3.97/4.15 P_t_a-{F}(V0), P_v_x-{F}(V1), P_v_Y-{F}(V2), c_in-{F}(V1,V2,V0), P_v_Z-{F}(V2), P_v_X-{F}(V3) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #123: mergings( V1 == V2, V2 == V5, V5 == V8, V3 == V6, V6 == V9, V4 == V9, V9 == V10; #115 ), references = 1, size of lhs = 5:
% 3.97/4.15 P_t_a-{F}(V0), P_v_x-{F}(V1), P_v_Y-{F}(V2), c_in-{F}(V1,V2,V0), P_v_Z-{F}(V2) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #160: mergings( V5 == V8, V6 == V9, V7 == V10, V1 == V11; #154 ), references = 3, size of lhs = 10:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), c_lessequals-{F}(V5,V1,V3), c_in-{F}(V0,V5,V2), P_v_Z-{F}(V6), P_c_Main_OsubsetI__1-{F}(V5,V6,V4,V7), P_v_X-{F}(V8) | c_in-{T}(V7,V5,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #167: mergings( V4 == V12, V5 == V9, V6 == V10, V7 == V11, V1 == V14, V8 == V15; #155 ), references = 1, size of lhs = 12:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V3,V2), c_lessequals-{F}(V3,V1,V4), P_tc_set-{F}(V2,V4), P_tc_set-{F}(V5,V4), P_tc_set-{F}(V6,V4), P_v_Z-{F}(V7), P_c_Main_OsubsetI__1-{F}(V3,V7,V5,V8), P_v_X-{F}(V9), P_c_inter-{F}(V10,V9,V6,V9) | c_in-{T}(V8,V3,V5)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #191: mergings( V6 == V15, V3 == V7, V7 == V12, V12 == V16, V4 == V8, V8 == V13, V13 == V17, V5 == V9, V9 == V14, V14 == V18, V10 == V0, V0 == V19, V11 == V20; #176 ), references = 5, size of lhs = 9:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_lessequals-{F}(V5,V1,V3), c_in-{F}(V0,V5,V2), P_v_X-{F}(V6) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #207: mergings( V6 == V16, V16 == V20, V3 == V7, V7 == V12, V12 == V17, V4 == V8, V8 == V13, V13 == V18, V5 == V9, V9 == V14, V14 == V19, V10 == V0, V0 == V22, V11 == V15, V15 == V23; #177 ), references = 5, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_Z-{F}(V6), c_lessequals-{F}(V6,V1,V3), c_in-{F}(V0,V6,V2), P_v_X-{F}(V7), P_c_inter-{F}(V8,V7,V5,V7) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #217: mergings( V8 == V4; #214 ), references = 1, size of lhs = 12:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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,V5,V2), P_v_X-{F}(V6), P_tc_set-{F}(V7,V3), P_c_Main_OsubsetI__1-{F}(V5,V1,V7,V8), P_c_inter-{F}(V1,V9,V7,V10), P_c_Main_OsubsetI__1-{F}(V10,V11,V7,V8) | c_lessequals-{T}(V10,V11,V3)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #219: mergings( V8 == V4; #215 ), references = 1, size of lhs = 14:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_Z-{F}(V6), c_in-{F}(V0,V6,V2), P_v_X-{F}(V7), P_c_inter-{F}(V8,V7,V5,V7), P_tc_set-{F}(V9,V3), P_c_Main_OsubsetI__1-{F}(V6,V1,V9,V10), P_c_inter-{F}(V1,V11,V9,V12), P_c_Main_OsubsetI__1-{F}(V12,V13,V9,V10) | c_lessequals-{T}(V12,V13,V3)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #228: mergings( V6 == V9, V4 == V10, V5 == V11, V8 == V14; #222 ), references = 1, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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), c_in-{F}(V0,V7,V2), P_c_inter-{F}(V1,V8,V5,V7), P_v_X-{F}(V9) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #233: mergings( V6 == V9, V4 == V10, V5 == V11, V8 == V15; #223 ), references = 1, size of lhs = 13:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_tc_set-{F}(V7,V3), P_v_Z-{F}(V8), c_in-{F}(V0,V8,V2), P_c_inter-{F}(V1,V9,V5,V8), P_v_X-{F}(V10), P_c_inter-{F}(V11,V10,V7,V10) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #247: disj( #4, mergings( V6 == V15, V3 == V7, V7 == V12, V12 == V16, V4 == V8, V8 == V13, V13 == V17, V5 == V9, V9 == V14, V14 == V18, V10 == V0, V0 == V19, V11 == V20; #176 ) ), references = 1, size of lhs = 10:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_Z-{F}(V6), c_in-{F}(V0,V6,V2), P_c_Main_OsubsetI__1-{F}(V6,V1,V4,V7), P_v_X-{F}(V8) | c_in-{T}(V7,V6,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #248: disj( #4, mergings( V6 == V16, V16 == V20, V3 == V7, V7 == V12, V12 == V17, V4 == V8, V8 == V13, V13 == V18, V5 == V9, V9 == V14, V14 == V19, V10 == V0, V0 == V22, V11 == V15, V15 == V23; #177 ) ), references = 1, size of lhs = 12:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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), c_in-{F}(V0,V7,V2), P_c_Main_OsubsetI__1-{F}(V7,V1,V4,V8), P_v_X-{F}(V9), P_c_inter-{F}(V10,V9,V6,V9) | c_in-{T}(V8,V7,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #261: mergings( V6 == V11, V4 == V9, V5 == V10, V8 == V13; #255 ), references = 1, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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), c_in-{F}(V0,V7,V2), P_v_X-{F}(V8), P_c_inter-{F}(V9,V1,V5,V7) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #266: mergings( V6 == V11, V4 == V9, V5 == V10, V8 == V14; #256 ), references = 1, size of lhs = 13:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_tc_set-{F}(V7,V3), P_v_Z-{F}(V8), c_in-{F}(V0,V8,V2), P_v_X-{F}(V9), P_c_inter-{F}(V10,V9,V7,V9), P_c_inter-{F}(V11,V1,V5,V8) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #275: mergings( V4 == V6; #273 ), references = 1, size of lhs = 9:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_v_X-{F}(V6), P_c_inter-{F}(V7,V6,V4,V8), P_c_Main_OsubsetI__1-{F}(V8,V9,V2,V0) | c_lessequals-{T}(V8,V9,V3)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #280: mergings( V4 == V8; #278 ), references = 1, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_tc_set-{F}(V6,V4), P_v_Z-{F}(V7), P_v_X-{F}(V8), P_c_inter-{F}(V9,V8,V6,V10), P_c_Main_OsubsetI__1-{F}(V3,V10,V5,V11) | c_in-{T}(V11,V3,V5)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #318: mergings( V8 == V4; #315 ), references = 1, size of lhs = 14:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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,V5,V2), P_v_X-{F}(V6), P_tc_set-{F}(V7,V3), P_tc_set-{F}(V8,V3), P_c_Main_OsubsetI__1-{F}(V5,V1,V8,V9), c_in-{F}(V9,V10,V8), P_c_inter-{F}(V1,V11,V8,V12), P_c_Main_OsubsetI__1-{F}(V10,V12,V7,V13) | c_in-{T}(V13,V10,V7)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #320: mergings( V8 == V4; #316 ), references = 1, size of lhs = 16:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), P_tc_set-{F}(V2,V3), P_tc_set-{F}(V4,V3), P_tc_set-{F}(V5,V3), P_v_Z-{F}(V6), c_in-{F}(V0,V6,V2), P_v_X-{F}(V7), P_c_inter-{F}(V8,V7,V5,V7), P_tc_set-{F}(V9,V3), P_tc_set-{F}(V10,V3), P_c_Main_OsubsetI__1-{F}(V6,V1,V10,V11), c_in-{F}(V11,V12,V10), P_c_inter-{F}(V1,V13,V10,V14), P_c_Main_OsubsetI__1-{F}(V12,V14,V9,V15) | c_in-{T}(V15,V12,V9)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #425: mergings( V7 == V12, V4 == V9, V9 == V13, V5 == V10, V10 == V14, V6 == V11, V11 == V15, V1 == V16, V8 == V17; #414 ), references = 2, size of lhs = 10:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{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_v_X-{F}(V6), c_lessequals-{F}(V7,V1,V3), c_in-{F}(V0,V7,V2), P_c_inter-{F}(V8,V5,V4,V7) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #437: mergings( V7 == V13, V13 == V17, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V6 == V11, V11 == V16, V1 == V19, V8 == V12, V12 == V20; #415 ), references = 2, size of lhs = 12:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_X-{F}(V7), P_c_inter-{F}(V8,V7,V5,V7), c_lessequals-{F}(V9,V1,V3), c_in-{F}(V0,V9,V2), P_c_inter-{F}(V10,V6,V4,V9) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #444: disj( #4, mergings( V7 == V12, V4 == V9, V9 == V13, V5 == V10, V10 == V14, V6 == V11, V11 == V15, V1 == V16, V8 == V17; #414 ) ), references = 1, size of lhs = 11:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_X-{F}(V7), c_in-{F}(V0,V8,V2), P_c_Main_OsubsetI__1-{F}(V8,V1,V4,V9), P_c_inter-{F}(V10,V6,V5,V8) | c_in-{T}(V9,V8,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #445: disj( #4, mergings( V7 == V13, V13 == V17, V4 == V9, V9 == V14, V5 == V10, V10 == V15, V6 == V11, V11 == V16, V1 == V19, V8 == V12, V12 == V20; #415 ) ), references = 1, size of lhs = 13:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_X-{F}(V8), P_c_inter-{F}(V9,V8,V6,V8), c_in-{F}(V0,V10,V2), P_c_Main_OsubsetI__1-{F}(V10,V1,V4,V11), P_c_inter-{F}(V12,V7,V5,V10) | c_in-{T}(V11,V10,V4)
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #459: mergings( V6 == V12, V4 == V10, V5 == V11, V8 == V14, V9 == V15; #452 ), references = 1, size of lhs = 13:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_X-{F}(V8), c_in-{F}(V0,V9,V2), P_c_inter-{F}(V10,V7,V6,V9), P_c_inter-{F}(V11,V7,V4,V9), P_c_inter-{F}(V1,V12,V5,V9) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #465: mergings( V6 == V12, V4 == V10, V5 == V11, V8 == V15, V9 == V16; #453 ), references = 1, size of lhs = 15:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(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_tc_set-{F}(V7,V3), P_v_Z-{F}(V8), P_v_X-{F}(V9), P_c_inter-{F}(V10,V9,V7,V9), c_in-{F}(V0,V11,V2), P_c_inter-{F}(V12,V8,V6,V11), P_c_inter-{F}(V13,V8,V4,V11), P_c_inter-{F}(V1,V14,V5,V11) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #472: mergings( V6 == V7, V4 == V8; #468 ), references = 1, size of lhs = 8:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_tc_set-{F}(V2,V3), P_v_Z-{F}(V4), c_in-{F}(V0,V4,V2), P_v_X-{F}(V5) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #475: mergings( V2 == V6; #473 ), references = 1, size of lhs = 7:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_v_Z-{F}(V3), c_in-{F}(V0,V3,V2), P_v_X-{F}(V4) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #477: exists( #17, #473 ), references = 1, size of lhs = 6:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2), P_v_Z-{F}(V3), c_in-{F}(V0,V3,V2) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #481: mergings( V1 == V3; #479 ), references = 1, size of lhs = 4:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1), P_t_a-{F}(V2), c_in-{F}(V0,V1,V2) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #485: mergings( V1 == V3; #483 ), references = 1, size of lhs = 2:
% 3.97/4.15 P_v_x-{F}(V0), P_v_Y-{F}(V1) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #487: exists( #14, #483 ), references = 1, size of lhs = 1:
% 3.97/4.15 P_v_x-{F}(V0) | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 #489: exists( #13, #486 ), references = 1, size of lhs = 0:
% 3.97/4.15 FALSE | FALSE
% 3.97/4.15 (used 0 times, uses = {})
% 3.97/4.15
% 3.97/4.15 number of learnt formulas = 37
% 3.97/4.15
% 3.97/4.15
% 3.97/4.15 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/4.15
% 3.97/4.15 randbase = 1
%------------------------------------------------------------------------------