0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n008.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 180 0.12/0.34 % DateTime : Thu Aug 29 11:45:38 EDT 2019 0.12/0.34 % CPUTime : 0.44/1.04 ============================== Prover9 =============================== 0.44/1.04 Prover9 (32) version 2009-11A, November 2009. 0.44/1.04 Process 26525 was started by sandbox on n008.cluster.edu, 0.44/1.04 Thu Aug 29 11:45:39 2019 0.44/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_26372_n008.cluster.edu". 0.44/1.04 ============================== end of head =========================== 0.44/1.04 0.44/1.04 ============================== INPUT ================================= 0.44/1.04 0.44/1.04 % Reading from file /tmp/Prover9_26372_n008.cluster.edu 0.44/1.04 0.44/1.04 set(prolog_style_variables). 0.44/1.04 set(auto2). 0.44/1.04 % set(auto2) -> set(auto). 0.44/1.04 % set(auto) -> set(auto_inference). 0.44/1.04 % set(auto) -> set(auto_setup). 0.44/1.04 % set(auto_setup) -> set(predicate_elim). 0.44/1.04 % set(auto_setup) -> assign(eq_defs, unfold). 0.44/1.04 % set(auto) -> set(auto_limits). 0.44/1.04 % set(auto_limits) -> assign(max_weight, "100.000"). 0.44/1.04 % set(auto_limits) -> assign(sos_limit, 20000). 0.44/1.04 % set(auto) -> set(auto_denials). 0.44/1.04 % set(auto) -> set(auto_process). 0.44/1.04 % set(auto2) -> assign(new_constants, 1). 0.44/1.04 % set(auto2) -> assign(fold_denial_max, 3). 0.44/1.04 % set(auto2) -> assign(max_weight, "200.000"). 0.44/1.04 % set(auto2) -> assign(max_hours, 1). 0.44/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.44/1.04 % set(auto2) -> assign(max_seconds, 0). 0.44/1.04 % set(auto2) -> assign(max_minutes, 5). 0.44/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.44/1.04 % set(auto2) -> set(sort_initial_sos). 0.44/1.04 % set(auto2) -> assign(sos_limit, -1). 0.44/1.04 % set(auto2) -> assign(lrs_ticks, 3000). 0.44/1.04 % set(auto2) -> assign(max_megs, 400). 0.44/1.04 % set(auto2) -> assign(stats, some). 0.44/1.04 % set(auto2) -> clear(echo_input). 0.44/1.04 % set(auto2) -> set(quiet). 0.44/1.04 % set(auto2) -> clear(print_initial_clauses). 0.44/1.04 % set(auto2) -> clear(print_given). 0.44/1.04 assign(lrs_ticks,-1). 0.44/1.04 assign(sos_limit,10000). 0.44/1.04 assign(order,kbo). 0.44/1.04 set(lex_order_vars). 0.44/1.04 clear(print_given). 0.44/1.04 0.44/1.04 % formulas(sos). % not echoed (47 formulas) 0.44/1.04 0.44/1.04 ============================== end of input ========================== 0.44/1.04 0.44/1.04 % From the command line: assign(max_seconds, 180). 0.44/1.04 0.44/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.44/1.04 0.44/1.04 % Formulas that are not ordinary clauses: 0.44/1.04 1 (all X8 all X9 all X10 all X11 (occurrence_of(X9,X8) & arboreal(X10) & -min_precedes(X10,X11,X8) & leaf_occ(X11,X9) & subactivity_occurrence(X10,X9) -> X11 = X10)) # label(sos_02) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 2 (all X75 all X76 all X77 (next_subocc(X75,X76,X77) -> arboreal(X76) & arboreal(X75))) # label(sos_25) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 3 (all X25 all X26 (-atomic(X26) & leaf(X25,X26) -> (exists X27 (leaf_occ(X25,X27) & occurrence_of(X27,X26))))) # label(sos_07) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 4 (all X28 all X29 all X30 (occurrence_of(X28,X30) & occurrence_of(X28,X29) -> X29 = X30)) # label(sos_08) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 5 (all X12 all X13 (occurrence_of(X13,X12) -> activity_occurrence(X13) & activity(X12))) # label(sos_03) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 6 (all X82 all X83 all X84 all X85 (min_precedes(X82,X83,X84) & subactivity_occurrence(X83,X85) & occurrence_of(X85,X84) -> subactivity_occurrence(X82,X85))) # label(sos_27) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 7 (all X3 all X4 all X5 all X6 all X7 (occurrence_of(X4,X3) & root_occ(X6,X4) & subactivity_occurrence(X5,X4) & min_precedes(X6,X5,X3) & X7 != X5 & leaf_occ(X7,X4) -> min_precedes(X5,X7,X3))) # label(sos_01) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 8 (all X94 all X95 all X96 (earlier(X94,X95) & earlier(X95,X96) -> earlier(X94,X96))) # label(sos_30) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 9 (all X35 all X36 all X37 (root_occ(X36,X35) & occurrence_of(X35,X37) -> -(exists X38 min_precedes(X38,X36,X37)))) # label(sos_10) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 10 (all X55 all X56 ((exists X57 (occurrence_of(X56,X57) & subactivity_occurrence(X55,X56) & leaf(X55,X57))) <-> leaf_occ(X55,X56))) # label(sos_18) # label(axiom) # label(non_clause). [assumption]. 0.44/1.04 11 (all X21 all X22 all X23 (min_precedes(X22,X23,X21) -> (exists X24 (subactivity_occurrence(X22,X24) & subactivity_occurrence(X23,X24) & occurrence_of(X24,X21))))) # label(sos_06) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 12 (all X51 all X52 (occurrence_of(X51,X52) -> (arboreal(X51) <-> atomic(X52)))) # label(sos_16) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 13 (all X44 all X45 (atocc(X44,X45) <-> (exists X46 (subactivity(X45,X46) & occurrence_of(X44,X46) & atomic(X46))))) # label(sos_14) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 14 (all X53 all X54 (root(X53,X54) -> legal(X53))) # label(sos_17) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 15 (all X97 all X98 all X99 all X100 (min_precedes(X97,X98,X100) & precedes(X98,X99) & min_precedes(X97,X99,X100) -> min_precedes(X98,X99,X100))) # label(sos_31) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 16 (all X31 all X32 all X33 (leaf_occ(X32,X31) & occurrence_of(X31,X33) -> -(exists X34 min_precedes(X32,X34,X33)))) # label(sos_09) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 17 (all X86 all X87 all X88 all X89 (leaf_occ(X87,X88) & leaf_occ(X86,X88) & -atomic(X89) & occurrence_of(X88,X89) -> X87 = X86)) # label(sos_28) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 18 (all X47 all X48 (leaf(X47,X48) <-> (root(X47,X48) | (exists X49 min_precedes(X49,X47,X48))) & -(exists X50 min_precedes(X47,X50,X48)))) # label(sos_15) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 19 (all X72 all X73 all X74 (min_precedes(X72,X73,X74) -> precedes(X72,X73))) # label(sos_24) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 20 (all X61 all X62 (earlier(X61,X62) -> -earlier(X62,X61))) # label(sos_20) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 21 (all X101 (occurrence_of(X101,tptp0) -> (exists X102 exists X103 (occurrence_of(X102,tptp4) & root_occ(X102,X101) & occurrence_of(X103,tptp3) & next_subocc(X102,X103,tptp0) & leaf_occ(X103,X101))))) # label(sos_32) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 22 (all X39 all X40 (subactivity_occurrence(X39,X40) -> activity_occurrence(X39) & activity_occurrence(X40))) # label(sos_11) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 23 (all X65 all X66 all X67 (min_precedes(X65,X66,X67) -> -root(X66,X67))) # label(sos_22) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 24 (all X43 (legal(X43) -> arboreal(X43))) # label(sos_13) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 25 (all X68 all X69 all X70 (min_precedes(X68,X69,X70) -> (exists X71 (root(X71,X70) & min_precedes(X71,X69,X70))))) # label(sos_23) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 26 (all X41 (activity_occurrence(X41) -> (exists X42 (activity(X42) & occurrence_of(X41,X42))))) # label(sos_12) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 27 (all X18 all X19 (root(X19,X18) -> (exists X20 (atocc(X19,X20) & subactivity(X20,X18))))) # label(sos_05) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 28 (all X78 all X79 all X80 (min_precedes(X78,X79,X80) & -(exists X81 (min_precedes(X81,X79,X80) & min_precedes(X78,X81,X80))) <-> next_subocc(X78,X79,X80))) # label(sos_26) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 29 (all X58 all X59 (root_occ(X58,X59) <-> (exists X60 (root(X58,X60) & subactivity_occurrence(X58,X59) & occurrence_of(X59,X60))))) # label(sos_19) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 30 (all X14 all X15 all X16 all X17 (occurrence_of(X15,X14) & subactivity_occurrence(X16,X15) & subactivity_occurrence(X17,X15) & arboreal(X17) & arboreal(X16) -> X17 = X16 | min_precedes(X17,X16,X14) | min_precedes(X16,X17,X14))) # label(sos_04) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 31 (all X63 all X64 (precedes(X63,X64) <-> legal(X64) & earlier(X63,X64))) # label(sos_21) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 32 (all X104 all X105 (occurrence_of(X105,tptp0) & subactivity_occurrence(X104,X105) & -leaf_occ(X104,X105) & arboreal(X104) -> (exists X106 (next_subocc(X104,X106,tptp0) & occurrence_of(X106,tptp1))))) # label(sos_45) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 33 (all X90 all X91 all X92 all X93 (occurrence_of(X92,X93) & root_occ(X91,X92) & root_occ(X90,X92) -> X90 = X91)) # label(sos_29) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 34 (all X0 all X1 (-atomic(X0) & occurrence_of(X1,X0) -> (exists X2 (subactivity_occurrence(X2,X1) & root(X2,X0))))) # label(sos) # label(axiom) # label(non_clause). [assumption]. 0.44/1.05 35 --(exists X107 occurrence_of(X107,tptp0)) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 0.44/1.05 0.44/1.05 ============================== end of process non-clausal formulas === 0.44/1.05 0.44/1.05 ============================== PROCESS INITIAL CLAUSES =============== 0.44/1.05 0.44/1.05 ============================== PREDICATE ELIMINATION ================= 0.44/1.05 36 leaf(A,f2(A,B)) | -leaf_occ(A,B) # label(sos_18) # label(axiom). [clausify(10)]. 0.44/1.05 37 -leaf(A,B) | -min_precedes(A,C,B) # label(sos_15) # label(axiom). [clausify(18)]. 0.44/1.05 Derived: -leaf_occ(A,B) | -min_precedes(A,C,f2(A,B)). [resolve(36,a,37,a)]. 0.44/1.05 38 atomic(A) | -leaf(B,A) | leaf_occ(B,f1(B,A)) # label(sos_07) # label(axiom). [clausify(3)]. 0.44/1.05 Derived: atomic(f2(A,B)) | leaf_occ(A,f1(A,f2(A,B))) | -leaf_occ(A,B). [resolve(38,b,36,a)]. 0.44/1.05 39 atomic(A) | -leaf(B,A) | occurrence_of(f1(B,A),A) # label(sos_07) # label(axiom). [clausify(3)]. 0.44/1.05 Derived: atomic(f2(A,B)) | occurrence_of(f1(A,f2(A,B)),f2(A,B)) | -leaf_occ(A,B). [resolve(39,b,36,a)]. 0.44/1.05 40 -occurrence_of(A,B) | -subactivity_occurrence(C,A) | -leaf(C,B) | leaf_occ(C,A) # label(sos_18) # label(axiom). [clausify(10)]. 0.44/1.05 Derived: -occurrence_of(A,f2(B,C)) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -leaf_occ(B,C). [resolve(40,c,36,a)]. 0.44/1.05 41 -leaf(A,B) | root(A,B) | min_precedes(f5(A,B),A,B) # label(sos_15) # label(axiom). [clausify(18)]. 0.44/1.05 Derived: root(A,f2(A,B)) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(41,a,36,a)]. 0.44/1.05 42 leaf(A,B) | -root(A,B) | min_precedes(A,f6(A,B),B) # label(sos_15) # label(axiom). [clausify(18)]. 0.44/1.05 Derived: -root(A,B) | min_precedes(A,f6(A,B),B) | -min_precedes(A,C,B). [resolve(42,a,37,a)]. 0.44/1.05 Derived: -root(A,B) | min_precedes(A,f6(A,B),B) | atomic(B) | leaf_occ(A,f1(A,B)). [resolve(42,a,38,b)]. 0.44/1.05 Derived: -root(A,B) | min_precedes(A,f6(A,B),B) | atomic(B) | occurrence_of(f1(A,B),B). [resolve(42,a,39,b)]. 0.44/1.05 Derived: -root(A,B) | min_precedes(A,f6(A,B),B) | -occurrence_of(C,B) | -subactivity_occurrence(A,C) | leaf_occ(A,C). [resolve(42,a,40,c)]. 0.44/1.05 43 leaf(A,B) | -min_precedes(C,A,B) | min_precedes(A,f6(A,B),B) # label(sos_15) # label(axiom). [clausify(18)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | -min_precedes(B,D,C). [resolve(43,a,37,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | atomic(C) | leaf_occ(B,f1(B,C)). [resolve(43,a,38,b)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | atomic(C) | occurrence_of(f1(B,C),C). [resolve(43,a,39,b)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | -occurrence_of(D,C) | -subactivity_occurrence(B,D) | leaf_occ(B,D). [resolve(43,a,40,c)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | root(B,C) | min_precedes(f5(B,C),B,C). [resolve(43,a,41,a)]. 0.44/1.05 44 -root_occ(A,B) | root(A,f13(A,B)) # label(sos_19) # label(axiom). [clausify(29)]. 0.44/1.05 45 -min_precedes(A,B,C) | -root(B,C) # label(sos_22) # label(axiom). [clausify(23)]. 0.44/1.05 46 -root(A,B) | legal(A) # label(sos_17) # label(axiom). [clausify(14)]. 0.44/1.05 47 -root(A,B) | atocc(A,f11(B,A)) # label(sos_05) # label(axiom). [clausify(27)]. 0.44/1.05 48 -root(A,B) | subactivity(f11(B,A),B) # label(sos_05) # label(axiom). [clausify(27)]. 0.44/1.05 Derived: -root_occ(A,B) | -min_precedes(C,A,f13(A,B)). [resolve(44,b,45,b)]. 0.44/1.05 Derived: -root_occ(A,B) | legal(A). [resolve(44,b,46,a)]. 0.44/1.05 Derived: -root_occ(A,B) | atocc(A,f11(f13(A,B),A)). [resolve(44,b,47,a)]. 0.44/1.05 Derived: -root_occ(A,B) | subactivity(f11(f13(A,B),A),f13(A,B)). [resolve(44,b,48,a)]. 0.44/1.05 49 -min_precedes(A,B,C) | root(f9(A,B,C),C) # label(sos_23) # label(axiom). [clausify(25)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | -min_precedes(D,f9(A,B,C),C). [resolve(49,b,45,b)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | legal(f9(A,B,C)). [resolve(49,b,46,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | atocc(f9(A,B,C),f11(C,f9(A,B,C))). [resolve(49,b,47,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | subactivity(f11(C,f9(A,B,C)),C). [resolve(49,b,48,a)]. 0.44/1.05 50 atomic(A) | -occurrence_of(B,A) | root(f15(A,B),A) # label(sos) # label(axiom). [clausify(34)]. 0.44/1.05 Derived: atomic(A) | -occurrence_of(B,A) | -min_precedes(C,f15(A,B),A). [resolve(50,c,45,b)]. 0.44/1.05 Derived: atomic(A) | -occurrence_of(B,A) | legal(f15(A,B)). [resolve(50,c,46,a)]. 0.44/1.05 Derived: atomic(A) | -occurrence_of(B,A) | atocc(f15(A,B),f11(A,f15(A,B))). [resolve(50,c,47,a)]. 0.44/1.05 Derived: atomic(A) | -occurrence_of(B,A) | subactivity(f11(A,f15(A,B)),A). [resolve(50,c,48,a)]. 0.44/1.05 51 root_occ(A,B) | -root(A,C) | -subactivity_occurrence(A,B) | -occurrence_of(B,C) # label(sos_19) # label(axiom). [clausify(29)]. 0.44/1.05 Derived: root_occ(A,B) | -subactivity_occurrence(A,B) | -occurrence_of(B,f13(A,C)) | -root_occ(A,C). [resolve(51,b,44,b)]. 0.44/1.05 Derived: root_occ(f9(A,B,C),D) | -subactivity_occurrence(f9(A,B,C),D) | -occurrence_of(D,C) | -min_precedes(A,B,C). [resolve(51,b,49,b)]. 0.44/1.05 Derived: root_occ(f15(A,B),C) | -subactivity_occurrence(f15(A,B),C) | -occurrence_of(C,A) | atomic(A) | -occurrence_of(B,A). [resolve(51,b,50,c)]. 0.44/1.05 52 root(A,f2(A,B)) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(41,a,36,a)]. 0.44/1.05 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | -min_precedes(C,A,f2(A,B)). [resolve(52,a,45,b)]. 0.44/1.05 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | legal(A). [resolve(52,a,46,a)]. 0.44/1.05 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | atocc(A,f11(f2(A,B),A)). [resolve(52,a,47,a)]. 0.44/1.05 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | subactivity(f11(f2(A,B),A),f2(A,B)). [resolve(52,a,48,a)]. 0.44/1.05 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | root_occ(A,C) | -subactivity_occurrence(A,C) | -occurrence_of(C,f2(A,B)). [resolve(52,a,51,b)]. 0.44/1.05 53 -root(A,B) | min_precedes(A,f6(A,B),B) | -min_precedes(A,C,B). [resolve(42,a,37,a)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f13(A,B)),f13(A,B)) | -min_precedes(A,C,f13(A,B)) | -root_occ(A,B). [resolve(53,a,44,b)]. 0.44/1.05 Derived: min_precedes(f9(A,B,C),f6(f9(A,B,C),C),C) | -min_precedes(f9(A,B,C),D,C) | -min_precedes(A,B,C). [resolve(53,a,49,b)]. 0.44/1.05 Derived: min_precedes(f15(A,B),f6(f15(A,B),A),A) | -min_precedes(f15(A,B),C,A) | atomic(A) | -occurrence_of(B,A). [resolve(53,a,50,c)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f2(A,B)),f2(A,B)) | -min_precedes(A,C,f2(A,B)) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(53,a,52,a)]. 0.44/1.05 54 -root(A,B) | min_precedes(A,f6(A,B),B) | atomic(B) | leaf_occ(A,f1(A,B)). [resolve(42,a,38,b)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f13(A,B)),f13(A,B)) | atomic(f13(A,B)) | leaf_occ(A,f1(A,f13(A,B))) | -root_occ(A,B). [resolve(54,a,44,b)]. 0.44/1.05 Derived: min_precedes(f9(A,B,C),f6(f9(A,B,C),C),C) | atomic(C) | leaf_occ(f9(A,B,C),f1(f9(A,B,C),C)) | -min_precedes(A,B,C). [resolve(54,a,49,b)]. 0.44/1.05 Derived: min_precedes(f15(A,B),f6(f15(A,B),A),A) | atomic(A) | leaf_occ(f15(A,B),f1(f15(A,B),A)) | atomic(A) | -occurrence_of(B,A). [resolve(54,a,50,c)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f2(A,B)),f2(A,B)) | atomic(f2(A,B)) | leaf_occ(A,f1(A,f2(A,B))) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(54,a,52,a)]. 0.44/1.05 55 -root(A,B) | min_precedes(A,f6(A,B),B) | atomic(B) | occurrence_of(f1(A,B),B). [resolve(42,a,39,b)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f13(A,B)),f13(A,B)) | atomic(f13(A,B)) | occurrence_of(f1(A,f13(A,B)),f13(A,B)) | -root_occ(A,B). [resolve(55,a,44,b)]. 0.44/1.05 Derived: min_precedes(f9(A,B,C),f6(f9(A,B,C),C),C) | atomic(C) | occurrence_of(f1(f9(A,B,C),C),C) | -min_precedes(A,B,C). [resolve(55,a,49,b)]. 0.44/1.05 Derived: min_precedes(f15(A,B),f6(f15(A,B),A),A) | atomic(A) | occurrence_of(f1(f15(A,B),A),A) | atomic(A) | -occurrence_of(B,A). [resolve(55,a,50,c)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f2(A,B)),f2(A,B)) | atomic(f2(A,B)) | occurrence_of(f1(A,f2(A,B)),f2(A,B)) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(55,a,52,a)]. 0.44/1.05 56 -root(A,B) | min_precedes(A,f6(A,B),B) | -occurrence_of(C,B) | -subactivity_occurrence(A,C) | leaf_occ(A,C). [resolve(42,a,40,c)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f13(A,B)),f13(A,B)) | -occurrence_of(C,f13(A,B)) | -subactivity_occurrence(A,C) | leaf_occ(A,C) | -root_occ(A,B). [resolve(56,a,44,b)]. 0.44/1.05 Derived: min_precedes(f9(A,B,C),f6(f9(A,B,C),C),C) | -occurrence_of(D,C) | -subactivity_occurrence(f9(A,B,C),D) | leaf_occ(f9(A,B,C),D) | -min_precedes(A,B,C). [resolve(56,a,49,b)]. 0.44/1.05 Derived: min_precedes(f15(A,B),f6(f15(A,B),A),A) | -occurrence_of(C,A) | -subactivity_occurrence(f15(A,B),C) | leaf_occ(f15(A,B),C) | atomic(A) | -occurrence_of(B,A). [resolve(56,a,50,c)]. 0.44/1.05 Derived: min_precedes(A,f6(A,f2(A,B)),f2(A,B)) | -occurrence_of(C,f2(A,B)) | -subactivity_occurrence(A,C) | leaf_occ(A,C) | min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B). [resolve(56,a,52,a)]. 0.44/1.05 57 -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | root(B,C) | min_precedes(f5(B,C),B,C). [resolve(43,a,41,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(B,f6(B,C),C) | min_precedes(f5(B,C),B,C) | -min_precedes(D,B,C). [resolve(57,c,45,b)]. 0.44/1.05 58 -occurrence_of(A,tptp0) | next_subocc(f7(A),f8(A),tptp0) # label(sos_32) # label(axiom). [clausify(21)]. 0.44/1.05 59 -min_precedes(A,B,C) | -min_precedes(D,A,C) | -next_subocc(D,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 0.44/1.05 60 -next_subocc(A,B,C) | arboreal(B) # label(sos_25) # label(axiom). [clausify(2)]. 0.44/1.05 61 -next_subocc(A,B,C) | arboreal(A) # label(sos_25) # label(axiom). [clausify(2)]. 0.44/1.05 62 min_precedes(A,B,C) | -next_subocc(A,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | -min_precedes(B,f8(A),tptp0) | -min_precedes(f7(A),B,tptp0). [resolve(58,b,59,c)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | arboreal(f8(A)). [resolve(58,b,60,a)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | arboreal(f7(A)). [resolve(58,b,61,a)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | min_precedes(f7(A),f8(A),tptp0). [resolve(58,b,62,b)]. 0.44/1.05 63 -min_precedes(A,B,C) | min_precedes(f12(A,B,C),B,C) | next_subocc(A,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(f12(A,B,C),B,C) | -min_precedes(D,B,C) | -min_precedes(A,D,C). [resolve(63,c,59,c)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(f12(A,B,C),B,C) | arboreal(B). [resolve(63,c,60,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(f12(A,B,C),B,C) | arboreal(A). [resolve(63,c,61,a)]. 0.44/1.05 64 -min_precedes(A,B,C) | min_precedes(A,f12(A,B,C),C) | next_subocc(A,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(A,f12(A,B,C),C) | -min_precedes(D,B,C) | -min_precedes(A,D,C). [resolve(64,c,59,c)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(A,f12(A,B,C),C) | arboreal(B). [resolve(64,c,60,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | min_precedes(A,f12(A,B,C),C) | arboreal(A). [resolve(64,c,61,a)]. 0.44/1.05 65 -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | next_subocc(B,f14(B,A),tptp0) # label(sos_45) # label(axiom). [clausify(32)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | -min_precedes(C,f14(B,A),tptp0) | -min_precedes(B,C,tptp0). [resolve(65,e,59,c)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | arboreal(f14(B,A)). [resolve(65,e,60,a)]. 0.44/1.05 Derived: -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | min_precedes(B,f14(B,A),tptp0). [resolve(65,e,62,b)]. 0.44/1.05 66 -precedes(A,B) | legal(B) # label(sos_21) # label(axiom). [clausify(31)]. 0.44/1.05 67 -legal(A) | arboreal(A) # label(sos_13) # label(axiom). [clausify(24)]. 0.44/1.05 Derived: -precedes(A,B) | arboreal(B). [resolve(66,b,67,a)]. 0.44/1.05 68 precedes(A,B) | -legal(B) | -earlier(A,B) # label(sos_21) # label(axiom). [clausify(31)]. 0.44/1.05 Derived: precedes(A,B) | -earlier(A,B) | -precedes(C,B). [resolve(68,b,66,b)]. 0.44/1.05 69 -root_occ(A,B) | legal(A). [resolve(44,b,46,a)]. 0.44/1.05 Derived: -root_occ(A,B) | arboreal(A). [resolve(69,b,67,a)]. 0.44/1.05 Derived: -root_occ(A,B) | precedes(C,A) | -earlier(C,A). [resolve(69,b,68,b)]. 0.44/1.05 70 -min_precedes(A,B,C) | legal(f9(A,B,C)). [resolve(49,b,46,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | arboreal(f9(A,B,C)). [resolve(70,b,67,a)]. 0.44/1.05 Derived: -min_precedes(A,B,C) | precedes(D,f9(A,B,C)) | -earlier(D,f9(A,B,C)). [resolve(70,b,68,b)]. 0.44/1.07 71 atomic(A) | -occurrence_of(B,A) | legal(f15(A,B)). [resolve(50,c,46,a)]. 0.44/1.07 Derived: atomic(A) | -occurrence_of(B,A) | arboreal(f15(A,B)). [resolve(71,c,67,a)]. 0.44/1.07 Derived: atomic(A) | -occurrence_of(B,A) | precedes(C,f15(A,B)) | -earlier(C,f15(A,B)). [resolve(71,c,68,b)]. 0.44/1.07 72 min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | legal(A). [resolve(52,a,46,a)]. 0.44/1.07 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | arboreal(A). [resolve(72,c,67,a)]. 0.44/1.07 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | precedes(C,A) | -earlier(C,A). [resolve(72,c,68,b)]. 0.44/1.07 73 -activity_occurrence(A) | occurrence_of(A,f10(A)) # label(sos_12) # label(axiom). [clausify(26)]. 0.44/1.07 74 -occurrence_of(A,B) | activity_occurrence(A) # label(sos_03) # label(axiom). [clausify(5)]. 0.44/1.07 75 -subactivity_occurrence(A,B) | activity_occurrence(A) # label(sos_11) # label(axiom). [clausify(22)]. 0.44/1.07 76 -subactivity_occurrence(A,B) | activity_occurrence(B) # label(sos_11) # label(axiom). [clausify(22)]. 0.44/1.07 Derived: occurrence_of(A,f10(A)) | -occurrence_of(A,B). [resolve(73,a,74,b)]. 0.44/1.07 Derived: occurrence_of(A,f10(A)) | -subactivity_occurrence(A,B). [resolve(73,a,75,b)]. 0.44/1.07 Derived: occurrence_of(A,f10(A)) | -subactivity_occurrence(B,A). [resolve(73,a,76,b)]. 0.44/1.07 77 atocc(A,B) | -subactivity(B,C) | -occurrence_of(A,C) | -atomic(C) # label(sos_14) # label(axiom). [clausify(13)]. 0.44/1.07 78 -atocc(A,B) | atomic(f4(A,B)) # label(sos_14) # label(axiom). [clausify(13)]. 0.44/1.07 79 -atocc(A,B) | subactivity(B,f4(A,B)) # label(sos_14) # label(axiom). [clausify(13)]. 0.44/1.07 80 -atocc(A,B) | occurrence_of(A,f4(A,B)) # label(sos_14) # label(axiom). [clausify(13)]. 0.44/1.07 Derived: -subactivity(A,B) | -occurrence_of(C,B) | -atomic(B) | atomic(f4(C,A)). [resolve(77,a,78,a)]. 0.44/1.07 Derived: -subactivity(A,B) | -occurrence_of(C,B) | -atomic(B) | subactivity(A,f4(C,A)). [resolve(77,a,79,a)]. 0.44/1.07 Derived: -subactivity(A,B) | -occurrence_of(C,B) | -atomic(B) | occurrence_of(C,f4(C,A)). [resolve(77,a,80,a)]. 0.44/1.07 81 -root_occ(A,B) | atocc(A,f11(f13(A,B),A)). [resolve(44,b,47,a)]. 0.44/1.07 Derived: -root_occ(A,B) | atomic(f4(A,f11(f13(A,B),A))). [resolve(81,b,78,a)]. 0.44/1.07 Derived: -root_occ(A,B) | subactivity(f11(f13(A,B),A),f4(A,f11(f13(A,B),A))). [resolve(81,b,79,a)]. 0.44/1.07 Derived: -root_occ(A,B) | occurrence_of(A,f4(A,f11(f13(A,B),A))). [resolve(81,b,80,a)]. 0.44/1.07 82 -min_precedes(A,B,C) | atocc(f9(A,B,C),f11(C,f9(A,B,C))). [resolve(49,b,47,a)]. 0.44/1.07 Derived: -min_precedes(A,B,C) | atomic(f4(f9(A,B,C),f11(C,f9(A,B,C)))). [resolve(82,b,78,a)]. 0.44/1.07 Derived: -min_precedes(A,B,C) | subactivity(f11(C,f9(A,B,C)),f4(f9(A,B,C),f11(C,f9(A,B,C)))). [resolve(82,b,79,a)]. 0.44/1.07 Derived: -min_precedes(A,B,C) | occurrence_of(f9(A,B,C),f4(f9(A,B,C),f11(C,f9(A,B,C)))). [resolve(82,b,80,a)]. 0.44/1.07 83 atomic(A) | -occurrence_of(B,A) | atocc(f15(A,B),f11(A,f15(A,B))). [resolve(50,c,47,a)]. 0.44/1.07 Derived: atomic(A) | -occurrence_of(B,A) | atomic(f4(f15(A,B),f11(A,f15(A,B)))). [resolve(83,c,78,a)]. 0.44/1.07 Derived: atomic(A) | -occurrence_of(B,A) | subactivity(f11(A,f15(A,B)),f4(f15(A,B),f11(A,f15(A,B)))). [resolve(83,c,79,a)]. 0.44/1.07 Derived: atomic(A) | -occurrence_of(B,A) | occurrence_of(f15(A,B),f4(f15(A,B),f11(A,f15(A,B)))). [resolve(83,c,80,a)]. 0.44/1.07 84 min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | atocc(A,f11(f2(A,B),A)). [resolve(52,a,47,a)]. 0.44/1.07 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | atomic(f4(A,f11(f2(A,B),A))). [resolve(84,c,78,a)]. 0.44/1.07 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | subactivity(f11(f2(A,B),A),f4(A,f11(f2(A,B),A))). [resolve(84,c,79,a)]. 0.44/1.07 Derived: min_precedes(f5(A,f2(A,B)),A,f2(A,B)) | -leaf_occ(A,B) | occurrence_of(A,f4(A,f11(f2(A,B),A))). [resolve(84,c,80,a)]. 0.44/1.07 0.44/1.07 ============================== end predicate elimination ============= 0.44/1.07 0.44/1.07 Auto_denials: (non-Horn, no changes). 0.44/1.07 0.44/1.07 Term ordering decisions: 0.44/1.07 Function symbol KB weights: tptp0=1. tptp1=1. tptp3=1. tptp4=1. tptp2=1. c1=1. f1=1. f2=1. f4=1. f5=1. f6=1. f11=1. f13=1. f14=1. f15=1. f7=1. f8=1. f10=1. f3=1. f9=1. f12=1. 0.44/1.07 0.44/1.07 ============================== end of process initial clauses ======== 5.71/5.98 5.71/5.98 ============================== CLAUSES FOR SEARCH ==================== 5.71/5.98 5.71/5.98 ============================== end of clauses for search ============= 5.71/5.98 5.71/5.98 ============================== SEARCH ================================ 5.71/5.98 5.71/5.98 % Starting search at 0.04 seconds. 5.71/5.98 5.71/5.98 Low Water (keep): wt=102.000, iters=3345 5.71/5.98 5.71/5.98 Low Water (keep): wt=93.000, iters=3334 5.71/5.98 5.71/5.98 Low Water (keep): wt=90.000, iters=3655 5.71/5.98 5.71/5.98 Low Water (keep): wt=86.000, iters=3561 5.71/5.98 5.71/5.98 Low Water (keep): wt=80.000, iters=3421 5.71/5.98 5.71/5.98 Low Water (keep): wt=69.000, iters=3431 5.71/5.98 5.71/5.98 Low Water (keep): wt=67.000, iters=3403 5.71/5.98 5.71/5.98 Low Water (keep): wt=64.000, iters=3476 5.71/5.98 5.71/5.98 Low Water (keep): wt=62.000, iters=3358 5.71/5.98 5.71/5.98 Low Water (keep): wt=60.000, iters=3613 5.71/5.98 5.71/5.98 Low Water (keep): wt=58.000, iters=3429 5.71/5.98 5.71/5.98 Low Water (keep): wt=57.000, iters=3710 5.71/5.98 5.71/5.98 Low Water (keep): wt=55.000, iters=3523 5.71/5.98 5.71/5.98 Low Water (keep): wt=54.000, iters=3377 5.71/5.98 5.71/5.98 ============================== PROOF ================================= 5.71/5.98 % SZS status Theorem 5.71/5.98 % SZS output start Refutation 5.71/5.98 5.71/5.98 % Proof 1 at 4.90 (+ 0.05) seconds. 5.71/5.98 % Length of proof is 83. 5.71/5.98 % Level of proof is 16. 5.71/5.98 % Maximum clause weight is 40.000. 5.71/5.98 % Given clauses 5266. 5.71/5.98 5.71/5.98 2 (all X75 all X76 all X77 (next_subocc(X75,X76,X77) -> arboreal(X76) & arboreal(X75))) # label(sos_25) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 4 (all X28 all X29 all X30 (occurrence_of(X28,X30) & occurrence_of(X28,X29) -> X29 = X30)) # label(sos_08) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 5 (all X12 all X13 (occurrence_of(X13,X12) -> activity_occurrence(X13) & activity(X12))) # label(sos_03) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 7 (all X3 all X4 all X5 all X6 all X7 (occurrence_of(X4,X3) & root_occ(X6,X4) & subactivity_occurrence(X5,X4) & min_precedes(X6,X5,X3) & X7 != X5 & leaf_occ(X7,X4) -> min_precedes(X5,X7,X3))) # label(sos_01) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 11 (all X21 all X22 all X23 (min_precedes(X22,X23,X21) -> (exists X24 (subactivity_occurrence(X22,X24) & subactivity_occurrence(X23,X24) & occurrence_of(X24,X21))))) # label(sos_06) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 16 (all X31 all X32 all X33 (leaf_occ(X32,X31) & occurrence_of(X31,X33) -> -(exists X34 min_precedes(X32,X34,X33)))) # label(sos_09) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 21 (all X101 (occurrence_of(X101,tptp0) -> (exists X102 exists X103 (occurrence_of(X102,tptp4) & root_occ(X102,X101) & occurrence_of(X103,tptp3) & next_subocc(X102,X103,tptp0) & leaf_occ(X103,X101))))) # label(sos_32) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 26 (all X41 (activity_occurrence(X41) -> (exists X42 (activity(X42) & occurrence_of(X41,X42))))) # label(sos_12) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 28 (all X78 all X79 all X80 (min_precedes(X78,X79,X80) & -(exists X81 (min_precedes(X81,X79,X80) & min_precedes(X78,X81,X80))) <-> next_subocc(X78,X79,X80))) # label(sos_26) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 29 (all X58 all X59 (root_occ(X58,X59) <-> (exists X60 (root(X58,X60) & subactivity_occurrence(X58,X59) & occurrence_of(X59,X60))))) # label(sos_19) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 32 (all X104 all X105 (occurrence_of(X105,tptp0) & subactivity_occurrence(X104,X105) & -leaf_occ(X104,X105) & arboreal(X104) -> (exists X106 (next_subocc(X104,X106,tptp0) & occurrence_of(X106,tptp1))))) # label(sos_45) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 33 (all X90 all X91 all X92 all X93 (occurrence_of(X92,X93) & root_occ(X91,X92) & root_occ(X90,X92) -> X90 = X91)) # label(sos_29) # label(axiom) # label(non_clause). [assumption]. 5.71/5.98 35 --(exists X107 occurrence_of(X107,tptp0)) # label(goals) # label(negated_conjecture) # label(non_clause). [assumption]. 5.71/5.98 44 -root_occ(A,B) | root(A,f13(A,B)) # label(sos_19) # label(axiom). [clausify(29)]. 5.71/5.98 51 root_occ(A,B) | -root(A,C) | -subactivity_occurrence(A,B) | -occurrence_of(B,C) # label(sos_19) # label(axiom). [clausify(29)]. 5.71/5.98 58 -occurrence_of(A,tptp0) | next_subocc(f7(A),f8(A),tptp0) # label(sos_32) # label(axiom). [clausify(21)]. 5.71/5.98 59 -min_precedes(A,B,C) | -min_precedes(D,A,C) | -next_subocc(D,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 5.71/5.98 61 -next_subocc(A,B,C) | arboreal(A) # label(sos_25) # label(axiom). [clausify(2)]. 5.71/5.98 62 min_precedes(A,B,C) | -next_subocc(A,B,C) # label(sos_26) # label(axiom). [clausify(28)]. 5.71/5.98 65 -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | next_subocc(B,f14(B,A),tptp0) # label(sos_45) # label(axiom). [clausify(32)]. 5.71/5.98 73 -activity_occurrence(A) | occurrence_of(A,f10(A)) # label(sos_12) # label(axiom). [clausify(26)]. 5.71/5.98 74 -occurrence_of(A,B) | activity_occurrence(A) # label(sos_03) # label(axiom). [clausify(5)]. 5.71/5.98 89 occurrence_of(c1,tptp0) # label(goals) # label(negated_conjecture). [clausify(35)]. 5.71/5.98 93 tptp3 != tptp1 # label(sos_42) # label(axiom). [assumption]. 5.71/5.98 102 -leaf_occ(A,B) | -occurrence_of(B,C) | -min_precedes(A,D,C) # label(sos_09) # label(axiom). [clausify(16)]. 5.71/5.98 104 -root_occ(A,B) | subactivity_occurrence(A,B) # label(sos_19) # label(axiom). [clausify(29)]. 5.71/5.98 110 -occurrence_of(A,tptp0) | root_occ(f7(A),A) # label(sos_32) # label(axiom). [clausify(21)]. 5.71/5.98 111 -occurrence_of(A,tptp0) | occurrence_of(f8(A),tptp3) # label(sos_32) # label(axiom). [clausify(21)]. 5.71/5.98 112 -occurrence_of(A,tptp0) | leaf_occ(f8(A),A) # label(sos_32) # label(axiom). [clausify(21)]. 5.71/5.98 114 -root_occ(A,B) | occurrence_of(B,f13(A,B)) # label(sos_19) # label(axiom). [clausify(29)]. 5.71/5.98 115 -occurrence_of(A,B) | -occurrence_of(A,C) | B = C # label(sos_08) # label(axiom). [clausify(4)]. 5.71/5.98 117 -min_precedes(A,B,C) | subactivity_occurrence(A,f3(C,A,B)) # label(sos_06) # label(axiom). [clausify(11)]. 5.71/5.98 118 -min_precedes(A,B,C) | subactivity_occurrence(B,f3(C,A,B)) # label(sos_06) # label(axiom). [clausify(11)]. 5.71/5.98 119 -min_precedes(A,B,C) | occurrence_of(f3(C,A,B),C) # label(sos_06) # label(axiom). [clausify(11)]. 5.71/5.98 122 -occurrence_of(A,B) | -root_occ(C,A) | -root_occ(D,A) | C = D # label(sos_29) # label(axiom). [clausify(33)]. 5.71/5.98 126 -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | occurrence_of(f14(B,A),tptp1) # label(sos_45) # label(axiom). [clausify(32)]. 5.71/5.98 128 -occurrence_of(A,B) | -root_occ(C,A) | -subactivity_occurrence(D,A) | -min_precedes(C,D,B) | E = D | -leaf_occ(E,A) | min_precedes(D,E,B) # label(sos_01) # label(axiom). [clausify(7)]. 5.71/5.98 144 root_occ(A,B) | -subactivity_occurrence(A,B) | -occurrence_of(B,f13(A,C)) | -root_occ(A,C). [resolve(51,b,44,b)]. 5.71/5.98 165 -occurrence_of(A,tptp0) | -min_precedes(B,f8(A),tptp0) | -min_precedes(f7(A),B,tptp0). [resolve(58,b,59,c)]. 5.71/5.98 167 -occurrence_of(A,tptp0) | arboreal(f7(A)). [resolve(58,b,61,a)]. 5.71/5.98 168 -occurrence_of(A,tptp0) | min_precedes(f7(A),f8(A),tptp0). [resolve(58,b,62,b)]. 5.71/5.98 177 -occurrence_of(A,tptp0) | -subactivity_occurrence(B,A) | leaf_occ(B,A) | -arboreal(B) | min_precedes(B,f14(B,A),tptp0). [resolve(65,e,62,b)]. 5.71/5.98 188 occurrence_of(A,f10(A)) | -occurrence_of(A,B). [resolve(73,a,74,b)]. 5.71/5.98 220 root_occ(f7(c1),c1). [resolve(110,a,89,a)]. 5.71/5.98 223 -occurrence_of(c1,A) | tptp0 = A. [resolve(115,a,89,a)]. 5.71/5.98 229 arboreal(f7(c1)). [resolve(167,a,89,a)]. 5.71/5.98 230 min_precedes(f7(c1),f8(c1),tptp0). [resolve(168,a,89,a)]. 5.71/5.98 244 root_occ(f7(c1),A) | -subactivity_occurrence(f7(c1),A) | -occurrence_of(A,f13(f7(c1),c1)). [resolve(220,a,144,d)]. 5.71/5.98 247 occurrence_of(c1,f13(f7(c1),c1)). [resolve(220,a,114,a)]. 5.71/5.98 248 subactivity_occurrence(f7(c1),c1). [resolve(220,a,104,a)]. 5.71/5.98 278 leaf_occ(f7(c1),c1) | min_precedes(f7(c1),f14(f7(c1),c1),tptp0). [resolve(248,a,177,b),unit_del(a,89),unit_del(c,229)]. 5.71/5.98 283 leaf_occ(f7(c1),c1) | occurrence_of(f14(f7(c1),c1),tptp1). [resolve(248,a,126,b),unit_del(a,89),unit_del(c,229)]. 5.71/5.98 345 -leaf_occ(f7(c1),A) | -occurrence_of(A,tptp0). [resolve(230,a,102,c)]. 5.71/5.98 401 f13(f7(c1),c1) = tptp0. [resolve(247,a,223,a),flip(a)]. 5.71/5.98 403 root_occ(f7(c1),A) | -subactivity_occurrence(f7(c1),A) | -occurrence_of(A,tptp0). [back_rewrite(244),rewrite([401(10)])]. 5.71/5.98 572 leaf_occ(f7(c1),c1) | -occurrence_of(A,tptp0) | -root_occ(f7(c1),A) | -subactivity_occurrence(f14(f7(c1),c1),A) | f14(f7(c1),c1) = B | -leaf_occ(B,A) | min_precedes(f14(f7(c1),c1),B,tptp0). [resolve(278,b,128,d),flip(e)]. 5.71/5.98 577 leaf_occ(f7(c1),c1) | occurrence_of(f3(tptp0,f7(c1),f14(f7(c1),c1)),tptp0). [resolve(278,b,119,a)]. 5.71/5.98 578 leaf_occ(f7(c1),c1) | subactivity_occurrence(f14(f7(c1),c1),f3(tptp0,f7(c1),f14(f7(c1),c1))). [resolve(278,b,118,a)]. 5.71/5.98 579 leaf_occ(f7(c1),c1) | subactivity_occurrence(f7(c1),f3(tptp0,f7(c1),f14(f7(c1),c1))). [resolve(278,b,117,a)]. 5.71/5.98 717 occurrence_of(f14(f7(c1),c1),tptp1). [resolve(283,a,345,a),unit_del(b,89)]. 5.71/5.98 718 occurrence_of(f14(f7(c1),c1),f10(f14(f7(c1),c1))). [resolve(717,a,188,b)]. 5.71/5.98 719 -occurrence_of(f14(f7(c1),c1),A) | tptp1 = A. [resolve(717,a,115,b),flip(b)]. 5.71/5.98 803 f10(f14(f7(c1),c1)) = tptp1. [resolve(718,a,719,a),flip(a)]. 5.71/5.98 1662 occurrence_of(f3(tptp0,f7(c1),f14(f7(c1),c1)),tptp0). [resolve(577,a,345,a),unit_del(b,89)]. 5.71/5.98 1679 leaf_occ(f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),f3(tptp0,f7(c1),f14(f7(c1),c1))). [resolve(1662,a,112,a)]. 5.71/5.98 1680 occurrence_of(f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),tptp3). [resolve(1662,a,111,a)]. 5.71/5.98 1681 root_occ(f7(f3(tptp0,f7(c1),f14(f7(c1),c1))),f3(tptp0,f7(c1),f14(f7(c1),c1))). [resolve(1662,a,110,a)]. 5.71/5.98 1689 occurrence_of(f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),f10(f8(f3(tptp0,f7(c1),f14(f7(c1),c1))))). [resolve(1680,a,188,b)]. 5.71/5.98 1690 -occurrence_of(f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),A) | tptp3 = A. [resolve(1680,a,115,b),flip(b)]. 5.71/5.98 2009 leaf_occ(f7(c1),c1) | root_occ(f7(c1),f3(tptp0,f7(c1),f14(f7(c1),c1))). [resolve(579,b,403,b),unit_del(c,1662)]. 5.71/5.98 2257 leaf_occ(f7(c1),c1) | -subactivity_occurrence(f14(f7(c1),c1),f3(tptp0,f7(c1),f14(f7(c1),c1))) | f14(f7(c1),c1) = A | -leaf_occ(A,f3(tptp0,f7(c1),f14(f7(c1),c1))) | min_precedes(f14(f7(c1),c1),A,tptp0). [resolve(2009,b,572,c),merge(b),unit_del(b,1662)]. 5.71/5.98 2267 leaf_occ(f7(c1),c1) | -occurrence_of(f3(tptp0,f7(c1),f14(f7(c1),c1)),A) | -root_occ(B,f3(tptp0,f7(c1),f14(f7(c1),c1))) | f7(c1) = B. [resolve(2009,b,122,c),flip(d)]. 5.71/5.98 3618 f10(f8(f3(tptp0,f7(c1),f14(f7(c1),c1)))) = tptp3. [resolve(1689,a,1690,a),flip(a)]. 5.71/5.98 10129 leaf_occ(f7(c1),c1) | f14(f7(c1),c1) = A | -leaf_occ(A,f3(tptp0,f7(c1),f14(f7(c1),c1))) | min_precedes(f14(f7(c1),c1),A,tptp0). [resolve(2257,b,578,b),merge(e)]. 5.71/5.98 10138 leaf_occ(f7(c1),c1) | f8(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f14(f7(c1),c1) | min_precedes(f14(f7(c1),c1),f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),tptp0). [resolve(10129,c,1679,a),flip(b)]. 5.71/5.98 10141 leaf_occ(f7(c1),c1) | -occurrence_of(f3(tptp0,f7(c1),f14(f7(c1),c1)),A) | f7(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f7(c1). [resolve(2267,c,1681,a),flip(c)]. 5.71/5.98 10180 leaf_occ(f7(c1),c1) | f7(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f7(c1). [resolve(10141,b,1662,a)]. 5.71/5.98 10186 f7(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f7(c1). [resolve(10180,a,345,a),unit_del(b,89)]. 5.71/5.98 10276 -min_precedes(A,f8(f3(tptp0,f7(c1),f14(f7(c1),c1))),tptp0) | -min_precedes(f7(c1),A,tptp0). [para(10186(a,1),165(c,1)),unit_del(a,1662)]. 5.71/5.98 21351 leaf_occ(f7(c1),c1) | f8(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f14(f7(c1),c1) | -min_precedes(f7(c1),f14(f7(c1),c1),tptp0). [resolve(10138,c,10276,a)]. 5.71/5.98 21395 leaf_occ(f7(c1),c1) | f8(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f14(f7(c1),c1). [resolve(21351,c,278,b),merge(c)]. 5.71/5.98 21406 f8(f3(tptp0,f7(c1),f14(f7(c1),c1))) = f14(f7(c1),c1). [resolve(21395,a,345,a),unit_del(b,89)]. 5.71/5.98 21686 $F. [back_rewrite(3618),rewrite([21406(9),803(5)]),flip(a),unit_del(a,93)]. 5.71/5.98 5.71/5.98 % SZS output end Refutation 5.71/5.98 ============================== end of proof ========================== 5.71/5.98 5.71/5.98 ============================== STATISTICS ============================ 5.71/5.98 5.71/5.98 Given=5266. Generated=51044. Kept=21596. proofs=1. 5.71/5.98 Usable=2775. Sos=6344. Demods=86. Limbo=280, Disabled=12369. Hints=0. 5.71/5.98 Megabytes=48.67. 5.71/5.98 User_CPU=4.90, System_CPU=0.05, Wall_clock=5. 5.71/5.98 5.71/5.98 ============================== end of statistics ===================== 5.71/5.98 5.71/5.98 ============================== end of search ========================= 5.71/5.98 5.71/5.98 THEOREM PROVED 5.71/5.98 % SZS status Theorem 5.71/5.98 5.71/5.98 Exiting with 1 proof. 5.71/5.98 5.71/5.98 Process 26525 exit (max_proofs) Thu Aug 29 11:45:44 2019 5.71/5.98 Prover9 interrupted 5.71/5.98 EOF