TSTP Solution File: SEU351+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 13:31:11 EDT 2022
% Result : Timeout 300.05s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU351+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n018.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 : 600
% 0.12/0.33 % DateTime : Sun Jun 19 19:03:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.00 ============================== Prover9 ===============================
% 0.70/1.00 Prover9 (32) version 2009-11A, November 2009.
% 0.70/1.00 Process 2271 was started by sandbox2 on n018.cluster.edu,
% 0.70/1.00 Sun Jun 19 19:03:05 2022
% 0.70/1.00 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_2118_n018.cluster.edu".
% 0.70/1.00 ============================== end of head ===========================
% 0.70/1.00
% 0.70/1.00 ============================== INPUT =================================
% 0.70/1.00
% 0.70/1.00 % Reading from file /tmp/Prover9_2118_n018.cluster.edu
% 0.70/1.00
% 0.70/1.00 set(prolog_style_variables).
% 0.70/1.00 set(auto2).
% 0.70/1.00 % set(auto2) -> set(auto).
% 0.70/1.00 % set(auto) -> set(auto_inference).
% 0.70/1.00 % set(auto) -> set(auto_setup).
% 0.70/1.00 % set(auto_setup) -> set(predicate_elim).
% 0.70/1.00 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.70/1.00 % set(auto) -> set(auto_limits).
% 0.70/1.00 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.70/1.00 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.70/1.00 % set(auto) -> set(auto_denials).
% 0.70/1.00 % set(auto) -> set(auto_process).
% 0.70/1.00 % set(auto2) -> assign(new_constants, 1).
% 0.70/1.00 % set(auto2) -> assign(fold_denial_max, 3).
% 0.70/1.00 % set(auto2) -> assign(max_weight, "200.000").
% 0.70/1.00 % set(auto2) -> assign(max_hours, 1).
% 0.70/1.00 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.70/1.00 % set(auto2) -> assign(max_seconds, 0).
% 0.70/1.00 % set(auto2) -> assign(max_minutes, 5).
% 0.70/1.00 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.70/1.00 % set(auto2) -> set(sort_initial_sos).
% 0.70/1.00 % set(auto2) -> assign(sos_limit, -1).
% 0.70/1.00 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.70/1.00 % set(auto2) -> assign(max_megs, 400).
% 0.70/1.00 % set(auto2) -> assign(stats, some).
% 0.70/1.00 % set(auto2) -> clear(echo_input).
% 0.70/1.00 % set(auto2) -> set(quiet).
% 0.70/1.00 % set(auto2) -> clear(print_initial_clauses).
% 0.70/1.00 % set(auto2) -> clear(print_given).
% 0.70/1.00 assign(lrs_ticks,-1).
% 0.70/1.00 assign(sos_limit,10000).
% 0.70/1.00 assign(order,kbo).
% 0.70/1.00 set(lex_order_vars).
% 0.70/1.00 clear(print_given).
% 0.70/1.00
% 0.70/1.00 % formulas(sos). % not echoed (37 formulas)
% 0.70/1.00
% 0.70/1.00 ============================== end of input ==========================
% 0.70/1.00
% 0.70/1.00 % From the command line: assign(max_seconds, 300).
% 0.70/1.00
% 0.70/1.00 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.70/1.00
% 0.70/1.00 % Formulas that are not ordinary clauses:
% 0.70/1.00 1 (all A all B (in(A,B) -> -in(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 2 (all A (latt_str(A) -> (-empty_carrier(A) & lattice(A) -> -empty_carrier(A) & join_commutative(A) & join_associative(A) & meet_commutative(A) & meet_associative(A) & meet_absorbing(A) & join_absorbing(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 3 (all A (latt_str(A) -> (-empty_carrier(A) & join_commutative(A) & join_associative(A) & meet_commutative(A) & meet_associative(A) & meet_absorbing(A) & join_absorbing(A) -> -empty_carrier(A) & lattice(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 4 (all A (-empty_carrier(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (latt_set_smaller(A,B,C) <-> (all D (element(D,the_carrier(A)) -> (in(D,C) -> below(A,B,D)))))))))) # label(d16_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 5 (all A (-empty_carrier(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (latt_element_smaller(A,B,C) <-> (all D (element(D,the_carrier(A)) -> (in(D,C) -> below(A,D,B)))))))))) # label(d17_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 6 (all A (-empty_carrier(A) & latt_str(A) -> (-empty_carrier(A) & lattice(A) & complete_latt_str(A) & latt_str(A) -> (all B all C (element(C,the_carrier(A)) -> (C = join_of_latt_set(A,B) <-> latt_element_smaller(A,C,B) & (all D (element(D,the_carrier(A)) -> (latt_element_smaller(A,D,B) -> below(A,C,D)))))))))) # label(d21_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 7 (all A (-empty_carrier(A) & latt_str(A) -> (all B meet_of_latt_set(A,B) = join_of_latt_set(A,a_2_2_lattice3(A,B))))) # label(d22_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 8 (all A all B (-empty_carrier(A) & latt_str(A) -> element(join_of_latt_set(A,B),the_carrier(A)))) # label(dt_k15_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 9 (all A all B (-empty_carrier(A) & latt_str(A) -> element(meet_of_latt_set(A,B),the_carrier(A)))) # label(dt_k16_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 10 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 11 (all A (meet_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 12 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 13 (all A (join_semilatt_str(A) -> one_sorted_str(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 14 (all A (latt_str(A) -> meet_semilatt_str(A) & join_semilatt_str(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 15 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 16 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 17 (exists A meet_semilatt_str(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 18 (exists A one_sorted_str(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 19 (exists A join_semilatt_str(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 20 (exists A latt_str(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 21 (all A exists B element(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 22 (all A (-empty_carrier(A) & one_sorted_str(A) -> -empty(the_carrier(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 23 (all A all B all C (-empty_carrier(B) & latt_str(B) -> (in(A,a_2_2_lattice3(B,C)) <-> (exists D (element(D,the_carrier(B)) & A = D & latt_set_smaller(B,D,C)))))) # label(fraenkel_a_2_2_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 24 (all A all B all C (-empty_carrier(B) & lattice(B) & complete_latt_str(B) & latt_str(B) -> (in(A,a_2_3_lattice3(B,C)) <-> (exists D (element(D,the_carrier(B)) & A = D & latt_set_smaller(B,D,C)))))) # label(fraenkel_a_2_3_lattice3) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 25 (exists A empty(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 26 (exists A -empty(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 27 (exists A (one_sorted_str(A) & -empty_carrier(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 28 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & latt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) -> (below_refl(A,B,C) <-> below(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 29 (all A all B all C (-empty_carrier(A) & meet_commutative(A) & meet_absorbing(A) & join_absorbing(A) & latt_str(A) & element(B,the_carrier(A)) & element(C,the_carrier(A)) -> below_refl(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 30 (all A all B (in(A,B) -> element(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 31 (all A all B (element(A,B) -> empty(B) | in(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 32 (all A all B ((all C (in(C,A) <-> in(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 33 (all A (empty(A) -> A = empty_set)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 34 (all A all B -(in(A,B) & empty(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 35 (all A all B -(empty(A) & A != B & empty(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.70/1.00 36 -(all A (-empty_carrier(A) & lattice(A) & complete_latt_str(A) & latt_str(A) -> (all B (element(B,the_carrier(A)) -> (all C (B = meet_of_latt_set(A,C) <-> latt_set_smaller(A,B,C) & (all D (element(D,the_carrier(A)) -> (latt_set_smaller(A,D,C) -> below_refl(A,D,B)))))))))) # label(t34_lattice3) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.73/1.01
% 0.73/1.01 ============================== end of process non-clausal formulas ===
% 0.73/1.01
% 0.73/1.01 ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.01
% 0.73/1.01 ============================== PREDICATE ELIMINATION =================
% 0.73/1.01 37 -meet_semilatt_str(A) | one_sorted_str(A) # label(dt_l1_lattices) # label(axiom). [clausify(11)].
% 0.73/1.01 38 meet_semilatt_str(c1) # label(existence_l1_lattices) # label(axiom). [clausify(17)].
% 0.73/1.01 Derived: one_sorted_str(c1). [resolve(37,a,38,a)].
% 0.73/1.01 39 -latt_str(A) | meet_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(14)].
% 0.73/1.01 Derived: -latt_str(A) | one_sorted_str(A). [resolve(39,b,37,a)].
% 0.73/1.01 40 empty_carrier(A) | -one_sorted_str(A) | -empty(the_carrier(A)) # label(fc1_struct_0) # label(axiom). [clausify(22)].
% 0.73/1.01 41 one_sorted_str(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(18)].
% 0.73/1.01 42 one_sorted_str(c7) # label(rc3_struct_0) # label(axiom). [clausify(27)].
% 0.73/1.01 43 -join_semilatt_str(A) | one_sorted_str(A) # label(dt_l2_lattices) # label(axiom). [clausify(13)].
% 0.73/1.01 Derived: empty_carrier(c2) | -empty(the_carrier(c2)). [resolve(40,b,41,a)].
% 0.73/1.01 Derived: empty_carrier(c7) | -empty(the_carrier(c7)). [resolve(40,b,42,a)].
% 0.73/1.01 Derived: empty_carrier(A) | -empty(the_carrier(A)) | -join_semilatt_str(A). [resolve(40,b,43,b)].
% 0.73/1.01 44 one_sorted_str(c1). [resolve(37,a,38,a)].
% 0.73/1.01 Derived: empty_carrier(c1) | -empty(the_carrier(c1)). [resolve(44,a,40,b)].
% 0.73/1.01 45 -latt_str(A) | one_sorted_str(A). [resolve(39,b,37,a)].
% 0.73/1.01 Derived: -latt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(45,b,40,b)].
% 0.73/1.01 46 empty_carrier(A) | -empty(the_carrier(A)) | -join_semilatt_str(A). [resolve(40,b,43,b)].
% 0.73/1.01 47 join_semilatt_str(c3) # label(existence_l2_lattices) # label(axiom). [clausify(19)].
% 0.73/1.01 48 -latt_str(A) | join_semilatt_str(A) # label(dt_l3_lattices) # label(axiom). [clausify(14)].
% 0.73/1.01 Derived: empty_carrier(c3) | -empty(the_carrier(c3)). [resolve(46,c,47,a)].
% 0.73/1.01 49 -latt_str(A) | empty_carrier(A) | -lattice(A) | join_commutative(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 50 latt_str(c4) # label(existence_l3_lattices) # label(axiom). [clausify(20)].
% 0.73/1.01 51 latt_str(c8) # label(t34_lattice3) # label(negated_conjecture). [clausify(36)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | join_commutative(c4). [resolve(49,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | join_commutative(c8). [resolve(49,a,51,a)].
% 0.73/1.01 52 -latt_str(A) | empty_carrier(A) | -lattice(A) | join_associative(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | join_associative(c4). [resolve(52,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | join_associative(c8). [resolve(52,a,51,a)].
% 0.73/1.01 53 -latt_str(A) | empty_carrier(A) | -lattice(A) | meet_commutative(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | meet_commutative(c4). [resolve(53,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | meet_commutative(c8). [resolve(53,a,51,a)].
% 0.73/1.01 54 -latt_str(A) | empty_carrier(A) | -lattice(A) | meet_associative(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | meet_associative(c4). [resolve(54,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | meet_associative(c8). [resolve(54,a,51,a)].
% 0.73/1.01 55 -latt_str(A) | empty_carrier(A) | -lattice(A) | meet_absorbing(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | meet_absorbing(c4). [resolve(55,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | meet_absorbing(c8). [resolve(55,a,51,a)].
% 0.73/1.01 56 -latt_str(A) | empty_carrier(A) | -lattice(A) | join_absorbing(A) # label(cc1_lattices) # label(axiom). [clausify(2)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | join_absorbing(c4). [resolve(56,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | join_absorbing(c8). [resolve(56,a,51,a)].
% 0.73/1.01 57 empty_carrier(A) | -latt_str(A) | element(join_of_latt_set(A,B),the_carrier(A)) # label(dt_k15_lattice3) # label(axiom). [clausify(8)].
% 0.73/1.01 Derived: empty_carrier(c4) | element(join_of_latt_set(c4,A),the_carrier(c4)). [resolve(57,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | element(join_of_latt_set(c8,A),the_carrier(c8)). [resolve(57,b,51,a)].
% 0.73/1.01 58 empty_carrier(A) | -latt_str(A) | element(meet_of_latt_set(A,B),the_carrier(A)) # label(dt_k16_lattice3) # label(axiom). [clausify(9)].
% 0.73/1.01 Derived: empty_carrier(c4) | element(meet_of_latt_set(c4,A),the_carrier(c4)). [resolve(58,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | element(meet_of_latt_set(c8,A),the_carrier(c8)). [resolve(58,b,51,a)].
% 0.73/1.01 59 empty_carrier(A) | -latt_str(A) | meet_of_latt_set(A,B) = join_of_latt_set(A,a_2_2_lattice3(A,B)) # label(d22_lattice3) # label(axiom). [clausify(7)].
% 0.73/1.01 Derived: empty_carrier(c4) | meet_of_latt_set(c4,A) = join_of_latt_set(c4,a_2_2_lattice3(c4,A)). [resolve(59,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | meet_of_latt_set(c8,A) = join_of_latt_set(c8,a_2_2_lattice3(c8,A)). [resolve(59,b,51,a)].
% 0.73/1.01 60 empty_carrier(A) | -latt_str(A) | -in(B,a_2_2_lattice3(A,C)) | f5(B,A,C) = B # label(fraenkel_a_2_2_lattice3) # label(axiom). [clausify(23)].
% 0.73/1.01 Derived: empty_carrier(c4) | -in(A,a_2_2_lattice3(c4,B)) | f5(A,c4,B) = A. [resolve(60,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -in(A,a_2_2_lattice3(c8,B)) | f5(A,c8,B) = A. [resolve(60,b,51,a)].
% 0.73/1.01 61 empty_carrier(A) | -latt_str(A) | -in(B,a_2_2_lattice3(A,C)) | element(f5(B,A,C),the_carrier(A)) # label(fraenkel_a_2_2_lattice3) # label(axiom). [clausify(23)].
% 0.73/1.01 Derived: empty_carrier(c4) | -in(A,a_2_2_lattice3(c4,B)) | element(f5(A,c4,B),the_carrier(c4)). [resolve(61,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -in(A,a_2_2_lattice3(c8,B)) | element(f5(A,c8,B),the_carrier(c8)). [resolve(61,b,51,a)].
% 0.73/1.01 62 empty_carrier(A) | -latt_str(A) | -in(B,a_2_2_lattice3(A,C)) | latt_set_smaller(A,f5(B,A,C),C) # label(fraenkel_a_2_2_lattice3) # label(axiom). [clausify(23)].
% 0.73/1.01 Derived: empty_carrier(c4) | -in(A,a_2_2_lattice3(c4,B)) | latt_set_smaller(c4,f5(A,c4,B),B). [resolve(62,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -in(A,a_2_2_lattice3(c8,B)) | latt_set_smaller(c8,f5(A,c8,B),B). [resolve(62,b,51,a)].
% 0.73/1.01 63 -latt_str(A) | empty_carrier(A) | -join_commutative(A) | -join_associative(A) | -meet_commutative(A) | -meet_associative(A) | -meet_absorbing(A) | -join_absorbing(A) | lattice(A) # label(cc2_lattices) # label(axiom). [clausify(3)].
% 0.73/1.01 Derived: empty_carrier(c4) | -join_commutative(c4) | -join_associative(c4) | -meet_commutative(c4) | -meet_associative(c4) | -meet_absorbing(c4) | -join_absorbing(c4) | lattice(c4). [resolve(63,a,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -join_commutative(c8) | -join_associative(c8) | -meet_commutative(c8) | -meet_associative(c8) | -meet_absorbing(c8) | -join_absorbing(c8) | lattice(c8). [resolve(63,a,51,a)].
% 0.73/1.01 64 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_set_smaller(A,B,C) | in(f1(A,B,C),C) # label(d16_lattice3) # label(axiom). [clausify(4)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_set_smaller(c4,A,B) | in(f1(c4,A,B),B). [resolve(64,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_set_smaller(c8,A,B) | in(f1(c8,A,B),B). [resolve(64,b,51,a)].
% 0.73/1.01 65 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_element_smaller(A,B,C) | in(f2(A,B,C),C) # label(d17_lattice3) # label(axiom). [clausify(5)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_element_smaller(c4,A,B) | in(f2(c4,A,B),B). [resolve(65,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_element_smaller(c8,A,B) | in(f2(c8,A,B),B). [resolve(65,b,51,a)].
% 0.73/1.01 66 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_set_smaller(A,B,C) | element(f1(A,B,C),the_carrier(A)) # label(d16_lattice3) # label(axiom). [clausify(4)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_set_smaller(c4,A,B) | element(f1(c4,A,B),the_carrier(c4)). [resolve(66,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_set_smaller(c8,A,B) | element(f1(c8,A,B),the_carrier(c8)). [resolve(66,b,51,a)].
% 0.73/1.01 67 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_set_smaller(A,B,C) | -below(A,B,f1(A,B,C)) # label(d16_lattice3) # label(axiom). [clausify(4)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_set_smaller(c4,A,B) | -below(c4,A,f1(c4,A,B)). [resolve(67,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_set_smaller(c8,A,B) | -below(c8,A,f1(c8,A,B)). [resolve(67,b,51,a)].
% 0.73/1.01 68 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_element_smaller(A,B,C) | element(f2(A,B,C),the_carrier(A)) # label(d17_lattice3) # label(axiom). [clausify(5)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_element_smaller(c4,A,B) | element(f2(c4,A,B),the_carrier(c4)). [resolve(68,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_element_smaller(c8,A,B) | element(f2(c8,A,B),the_carrier(c8)). [resolve(68,b,51,a)].
% 0.73/1.01 69 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | latt_element_smaller(A,B,C) | -below(A,f2(A,B,C),B) # label(d17_lattice3) # label(axiom). [clausify(5)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | latt_element_smaller(c4,A,B) | -below(c4,f2(c4,A,B),A). [resolve(69,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | latt_element_smaller(c8,A,B) | -below(c8,f2(c8,A,B),A). [resolve(69,b,51,a)].
% 0.73/1.01 70 empty_carrier(A) | -lattice(A) | -complete_latt_str(A) | -latt_str(A) | -in(B,a_2_3_lattice3(A,C)) | f6(B,A,C) = B # label(fraenkel_a_2_3_lattice3) # label(axiom). [clausify(24)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -in(A,a_2_3_lattice3(c4,B)) | f6(A,c4,B) = A. [resolve(70,d,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -in(A,a_2_3_lattice3(c8,B)) | f6(A,c8,B) = A. [resolve(70,d,51,a)].
% 0.73/1.01 71 empty_carrier(A) | -latt_str(A) | in(B,a_2_2_lattice3(A,C)) | -element(D,the_carrier(A)) | D != B | -latt_set_smaller(A,D,C) # label(fraenkel_a_2_2_lattice3) # label(axiom). [clausify(23)].
% 0.73/1.01 Derived: empty_carrier(c4) | in(A,a_2_2_lattice3(c4,B)) | -element(C,the_carrier(c4)) | C != A | -latt_set_smaller(c4,C,B). [resolve(71,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | in(A,a_2_2_lattice3(c8,B)) | -element(C,the_carrier(c8)) | C != A | -latt_set_smaller(c8,C,B). [resolve(71,b,51,a)].
% 0.73/1.01 72 empty_carrier(A) | -lattice(A) | -complete_latt_str(A) | -latt_str(A) | -in(B,a_2_3_lattice3(A,C)) | element(f6(B,A,C),the_carrier(A)) # label(fraenkel_a_2_3_lattice3) # label(axiom). [clausify(24)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -in(A,a_2_3_lattice3(c4,B)) | element(f6(A,c4,B),the_carrier(c4)). [resolve(72,d,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -in(A,a_2_3_lattice3(c8,B)) | element(f6(A,c8,B),the_carrier(c8)). [resolve(72,d,51,a)].
% 0.73/1.01 73 empty_carrier(A) | -lattice(A) | -complete_latt_str(A) | -latt_str(A) | -in(B,a_2_3_lattice3(A,C)) | latt_set_smaller(A,f6(B,A,C),C) # label(fraenkel_a_2_3_lattice3) # label(axiom). [clausify(24)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -in(A,a_2_3_lattice3(c4,B)) | latt_set_smaller(c4,f6(A,c4,B),B). [resolve(73,d,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -in(A,a_2_3_lattice3(c8,B)) | latt_set_smaller(c8,f6(A,c8,B),B). [resolve(73,d,51,a)].
% 0.73/1.01 74 empty_carrier(A) | -latt_str(A) | -lattice(A) | -complete_latt_str(A) | -element(B,the_carrier(A)) | join_of_latt_set(A,C) != B | latt_element_smaller(A,B,C) # label(d21_lattice3) # label(axiom). [clausify(6)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -element(A,the_carrier(c4)) | join_of_latt_set(c4,B) != A | latt_element_smaller(c4,A,B). [resolve(74,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -element(A,the_carrier(c8)) | join_of_latt_set(c8,B) != A | latt_element_smaller(c8,A,B). [resolve(74,b,51,a)].
% 0.73/1.01 75 empty_carrier(A) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below_refl(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(29)].
% 0.73/1.01 Derived: empty_carrier(c4) | -meet_commutative(c4) | -meet_absorbing(c4) | -join_absorbing(c4) | -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | below_refl(c4,A,A). [resolve(75,e,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -meet_commutative(c8) | -meet_absorbing(c8) | -join_absorbing(c8) | -element(A,the_carrier(c8)) | -element(B,the_carrier(c8)) | below_refl(c8,A,A). [resolve(75,e,51,a)].
% 0.73/1.01 76 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -latt_set_smaller(A,B,C) | -element(D,the_carrier(A)) | -in(D,C) | below(A,B,D) # label(d16_lattice3) # label(axiom). [clausify(4)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | -latt_set_smaller(c4,A,B) | -element(C,the_carrier(c4)) | -in(C,B) | below(c4,A,C). [resolve(76,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | -latt_set_smaller(c8,A,B) | -element(C,the_carrier(c8)) | -in(C,B) | below(c8,A,C). [resolve(76,b,51,a)].
% 0.73/1.01 77 empty_carrier(A) | -latt_str(A) | -element(B,the_carrier(A)) | -latt_element_smaller(A,B,C) | -element(D,the_carrier(A)) | -in(D,C) | below(A,D,B) # label(d17_lattice3) # label(axiom). [clausify(5)].
% 0.73/1.01 Derived: empty_carrier(c4) | -element(A,the_carrier(c4)) | -latt_element_smaller(c4,A,B) | -element(C,the_carrier(c4)) | -in(C,B) | below(c4,C,A). [resolve(77,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -element(A,the_carrier(c8)) | -latt_element_smaller(c8,A,B) | -element(C,the_carrier(c8)) | -in(C,B) | below(c8,C,A). [resolve(77,b,51,a)].
% 0.73/1.01 78 empty_carrier(A) | -lattice(A) | -complete_latt_str(A) | -latt_str(A) | in(B,a_2_3_lattice3(A,C)) | -element(D,the_carrier(A)) | D != B | -latt_set_smaller(A,D,C) # label(fraenkel_a_2_3_lattice3) # label(axiom). [clausify(24)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | in(A,a_2_3_lattice3(c4,B)) | -element(C,the_carrier(c4)) | C != A | -latt_set_smaller(c4,C,B). [resolve(78,d,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | in(A,a_2_3_lattice3(c8,B)) | -element(C,the_carrier(c8)) | C != A | -latt_set_smaller(c8,C,B). [resolve(78,d,51,a)].
% 0.73/1.01 79 empty_carrier(A) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | -below_refl(A,B,C) | below(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(28)].
% 0.73/1.01 Derived: empty_carrier(c4) | -meet_commutative(c4) | -meet_absorbing(c4) | -join_absorbing(c4) | -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | -below_refl(c4,A,B) | below(c4,A,B). [resolve(79,e,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -meet_commutative(c8) | -meet_absorbing(c8) | -join_absorbing(c8) | -element(A,the_carrier(c8)) | -element(B,the_carrier(c8)) | -below_refl(c8,A,B) | below(c8,A,B). [resolve(79,e,51,a)].
% 0.73/1.01 80 empty_carrier(A) | -meet_commutative(A) | -meet_absorbing(A) | -join_absorbing(A) | -latt_str(A) | -element(B,the_carrier(A)) | -element(C,the_carrier(A)) | below_refl(A,B,C) | -below(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(28)].
% 0.73/1.01 Derived: empty_carrier(c4) | -meet_commutative(c4) | -meet_absorbing(c4) | -join_absorbing(c4) | -element(A,the_carrier(c4)) | -element(B,the_carrier(c4)) | below_refl(c4,A,B) | -below(c4,A,B). [resolve(80,e,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -meet_commutative(c8) | -meet_absorbing(c8) | -join_absorbing(c8) | -element(A,the_carrier(c8)) | -element(B,the_carrier(c8)) | below_refl(c8,A,B) | -below(c8,A,B). [resolve(80,e,51,a)].
% 0.73/1.01 81 empty_carrier(A) | -latt_str(A) | -lattice(A) | -complete_latt_str(A) | -element(B,the_carrier(A)) | join_of_latt_set(A,C) = B | -latt_element_smaller(A,B,C) | element(f3(A,C,B),the_carrier(A)) # label(d21_lattice3) # label(axiom). [clausify(6)].
% 0.73/1.01 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -element(A,the_carrier(c4)) | join_of_latt_set(c4,B) = A | -latt_element_smaller(c4,A,B) | element(f3(c4,B,A),the_carrier(c4)). [resolve(81,b,50,a)].
% 0.73/1.01 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -element(A,the_carrier(c8)) | join_of_latt_set(c8,B) = A | -latt_element_smaller(c8,A,B) | element(f3(c8,B,A),the_carrier(c8)). [resolve(81,b,51,a)].
% 2.23/2.54 82 empty_carrier(A) | -latt_str(A) | -lattice(A) | -complete_latt_str(A) | -element(B,the_carrier(A)) | join_of_latt_set(A,C) = B | -latt_element_smaller(A,B,C) | latt_element_smaller(A,f3(A,C,B),C) # label(d21_lattice3) # label(axiom). [clausify(6)].
% 2.23/2.54 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -element(A,the_carrier(c4)) | join_of_latt_set(c4,B) = A | -latt_element_smaller(c4,A,B) | latt_element_smaller(c4,f3(c4,B,A),B). [resolve(82,b,50,a)].
% 2.23/2.54 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -element(A,the_carrier(c8)) | join_of_latt_set(c8,B) = A | -latt_element_smaller(c8,A,B) | latt_element_smaller(c8,f3(c8,B,A),B). [resolve(82,b,51,a)].
% 2.23/2.54 83 empty_carrier(A) | -latt_str(A) | -lattice(A) | -complete_latt_str(A) | -element(B,the_carrier(A)) | join_of_latt_set(A,C) = B | -latt_element_smaller(A,B,C) | -below(A,B,f3(A,C,B)) # label(d21_lattice3) # label(axiom). [clausify(6)].
% 2.23/2.54 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -element(A,the_carrier(c4)) | join_of_latt_set(c4,B) = A | -latt_element_smaller(c4,A,B) | -below(c4,A,f3(c4,B,A)). [resolve(83,b,50,a)].
% 2.23/2.54 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -element(A,the_carrier(c8)) | join_of_latt_set(c8,B) = A | -latt_element_smaller(c8,A,B) | -below(c8,A,f3(c8,B,A)). [resolve(83,b,51,a)].
% 2.23/2.54 84 empty_carrier(A) | -latt_str(A) | -lattice(A) | -complete_latt_str(A) | -element(B,the_carrier(A)) | join_of_latt_set(A,C) != B | -element(D,the_carrier(A)) | -latt_element_smaller(A,D,C) | below(A,B,D) # label(d21_lattice3) # label(axiom). [clausify(6)].
% 2.23/2.54 Derived: empty_carrier(c4) | -lattice(c4) | -complete_latt_str(c4) | -element(A,the_carrier(c4)) | join_of_latt_set(c4,B) != A | -element(C,the_carrier(c4)) | -latt_element_smaller(c4,C,B) | below(c4,A,C). [resolve(84,b,50,a)].
% 2.23/2.54 Derived: empty_carrier(c8) | -lattice(c8) | -complete_latt_str(c8) | -element(A,the_carrier(c8)) | join_of_latt_set(c8,B) != A | -element(C,the_carrier(c8)) | -latt_element_smaller(c8,C,B) | below(c8,A,C). [resolve(84,b,51,a)].
% 2.23/2.54 85 -latt_str(A) | empty_carrier(A) | -empty(the_carrier(A)). [resolve(45,b,40,b)].
% 2.23/2.54 Derived: empty_carrier(c4) | -empty(the_carrier(c4)). [resolve(85,a,50,a)].
% 2.23/2.54 Derived: empty_carrier(c8) | -empty(the_carrier(c8)). [resolve(85,a,51,a)].
% 2.23/2.54
% 2.23/2.54 ============================== end predicate elimination =============
% 2.23/2.54
% 2.23/2.54 Auto_denials: (non-Horn, no changes).
% 2.23/2.54
% 2.23/2.54 Term ordering decisions:
% 2.23/2.54 Function symbol KB weights: empty_set=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. join_of_latt_set=1. a_2_2_lattice3=1. a_2_3_lattice3=1. meet_of_latt_set=1. f7=1. the_carrier=1. f4=1. f1=1. f2=1. f3=1. f5=1. f6=1.
% 2.23/2.54
% 2.23/2.54 ============================== end of process initial clauses ========
% 2.23/2.54
% 2.23/2.54 ============================== CLAUSES FOR SEARCH ====================
% 2.23/2.54
% 2.23/2.54 ============================== end of clauses for search =============
% 2.23/2.54
% 2.23/2.54 ============================== SEARCH ================================
% 2.23/2.54
% 2.23/2.54 % Starting search at 0.03 seconds.
% 2.23/2.54
% 2.23/2.54 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 47 (0.00 of 0.19 sec).
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=70.000, iters=3436
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=67.000, iters=3358
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=65.000, iters=3400
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=64.000, iters=3378
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=63.000, iters=3352
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=60.000, iters=3370
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=58.000, iters=3386
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=55.000, iters=3334
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=54.000, iters=3350
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=53.000, iters=3349
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=48.000, iters=3338
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=47.000, iters=3378
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=45.000, iters=3384
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=43.000, iters=3411
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=42.000, iters=3465
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=41.000, iters=3397
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=40.000, iters=3413
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=39.000, iters=3408
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=38.000, iters=3388
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=37.000, iters=3333
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=36.000, iters=3334
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=35.000, iters=3348
% 2.23/2.54
% 2.23/2.54 Low Water (keep): wt=34.000, iters=3355
% 2.23/2.54
% 2.23/2.54 Low Water (displace):Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------