0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.34 % Computer : n017.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % DateTime : Thu Jul 2 07:05:51 EDT 2020 0.14/0.34 % CPUTime : 0.45/1.16 ============================== Prover9 =============================== 0.45/1.16 Prover9 (32) version 2009-11A, November 2009. 0.45/1.16 Process 7352 was started by sandbox2 on n017.cluster.edu, 0.45/1.16 Thu Jul 2 07:05:52 2020 0.45/1.16 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_7171_n017.cluster.edu". 0.45/1.16 ============================== end of head =========================== 0.45/1.16 0.45/1.16 ============================== INPUT ================================= 0.45/1.16 0.45/1.16 % Reading from file /tmp/Prover9_7171_n017.cluster.edu 0.45/1.16 0.45/1.16 set(prolog_style_variables). 0.45/1.16 set(auto2). 0.45/1.16 % set(auto2) -> set(auto). 0.45/1.16 % set(auto) -> set(auto_inference). 0.45/1.16 % set(auto) -> set(auto_setup). 0.45/1.16 % set(auto_setup) -> set(predicate_elim). 0.45/1.16 % set(auto_setup) -> assign(eq_defs, unfold). 0.45/1.16 % set(auto) -> set(auto_limits). 0.45/1.16 % set(auto_limits) -> assign(max_weight, "100.000"). 0.45/1.16 % set(auto_limits) -> assign(sos_limit, 20000). 0.45/1.16 % set(auto) -> set(auto_denials). 0.45/1.16 % set(auto) -> set(auto_process). 0.45/1.16 % set(auto2) -> assign(new_constants, 1). 0.45/1.16 % set(auto2) -> assign(fold_denial_max, 3). 0.45/1.16 % set(auto2) -> assign(max_weight, "200.000"). 0.45/1.16 % set(auto2) -> assign(max_hours, 1). 0.45/1.16 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.45/1.16 % set(auto2) -> assign(max_seconds, 0). 0.45/1.16 % set(auto2) -> assign(max_minutes, 5). 0.45/1.16 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.45/1.16 % set(auto2) -> set(sort_initial_sos). 0.45/1.16 % set(auto2) -> assign(sos_limit, -1). 0.45/1.16 % set(auto2) -> assign(lrs_ticks, 3000). 0.45/1.16 % set(auto2) -> assign(max_megs, 400). 0.45/1.16 % set(auto2) -> assign(stats, some). 0.45/1.16 % set(auto2) -> clear(echo_input). 0.45/1.16 % set(auto2) -> set(quiet). 0.45/1.16 % set(auto2) -> clear(print_initial_clauses). 0.45/1.16 % set(auto2) -> clear(print_given). 0.45/1.16 assign(lrs_ticks,-1). 0.45/1.16 assign(sos_limit,10000). 0.45/1.16 assign(order,kbo). 0.45/1.16 set(lex_order_vars). 0.45/1.16 clear(print_given). 0.45/1.16 0.45/1.16 % formulas(sos). % not echoed (65 formulas) 0.45/1.16 0.45/1.16 ============================== end of input ========================== 0.45/1.16 0.45/1.16 % From the command line: assign(max_seconds, 960). 0.45/1.16 0.45/1.16 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.45/1.16 0.45/1.16 % Formulas that are not ordinary clauses: 0.45/1.16 1 (all U all V (less_than(U,V) | less_than(V,U))) # label(totality) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 2 (all U less_than(bottom,U)) # label(bottom_smallest) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 3 (all U all V (-less_than(V,U) & less_than(U,V) <-> strictly_less_than(U,V))) # label(stricly_smaller_definition) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 4 (all U less_than(U,U)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 5 (all U all V all W (less_than(U,V) & less_than(V,W) -> less_than(U,W))) # label(transitivity) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 6 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) -> U = findmin_pq_eff(U,V))) # label(ax13) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 7 (all U all V all W insert_pq(insert_pq(U,W),V) = insert_pq(insert_pq(U,V),W)) # label(ax17) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 8 (all U all V ((all W (contains_pq(U,W) -> less_than(V,W))) <-> issmallestelement_pq(U,V))) # label(ax10) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 9 (all U all V isnonempty_pq(insert_pq(U,V))) # label(ax7) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 10 (all U all V all W (V = W | contains_pq(U,W) <-> contains_pq(insert_pq(U,V),W))) # label(ax9) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 11 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) -> findmin_pq_res(U,V) = V)) # label(ax14) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 12 (all U all V (issmallestelement_pq(U,V) & contains_pq(U,V) -> removemin_pq_eff(U,V) = remove_pq(U,V))) # label(ax15) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 13 (all U all V all W (contains_pq(U,W) & V != W -> insert_pq(remove_pq(U,W),V) = remove_pq(insert_pq(U,V),W))) # label(ax12) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 14 (all U -contains_pq(create_pq,U)) # label(ax8) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 15 (all U all V (issmallestelement_pq(U,V) & contains_pq(U,V) -> V = removemin_pq_res(U,V))) # label(ax16) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 16 (all U all V remove_pq(insert_pq(U,V),V) = U) # label(ax11) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 17 (all U -contains_slb(create_slb,U)) # label(ax20) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 18 (all U all V -pair_in_list(create_slb,U,V)) # label(ax22) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 19 (all U all V all W all X all Y (pair_in_list(insert_slb(U,pair(V,X)),W,Y) <-> Y = X & W = V | pair_in_list(U,W,Y))) # label(ax23) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 20 (all U all V all W all X (V = W | contains_slb(U,W) <-> contains_slb(insert_slb(U,pair(V,X)),W))) # label(ax21) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 21 (all U all V all W lookup_slb(insert_slb(U,pair(V,W)),V) = W) # label(ax26) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 22 (all U all V all W isnonempty_slb(insert_slb(U,pair(V,W)))) # label(ax19) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 23 (all U all V all W all X (strictly_less_than(X,W) -> insert_slb(update_slb(U,W),pair(V,W)) = update_slb(insert_slb(U,pair(V,X)),W))) # label(ax29) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 24 (all U update_slb(create_slb,U) = create_slb) # label(ax28) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 25 (all U all V all W all X (V != W & contains_slb(U,W) -> remove_slb(insert_slb(U,pair(V,X)),W) = insert_slb(remove_slb(U,W),pair(V,X)))) # label(ax25) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 26 (all U all V all W all X (less_than(W,X) -> update_slb(insert_slb(U,pair(V,X)),W) = insert_slb(update_slb(U,W),pair(V,X)))) # label(ax30) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 27 (all U all V all W remove_slb(insert_slb(U,pair(V,W)),V) = U) # label(ax24) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 28 (all U all V all W all X (V != W & contains_slb(U,W) -> lookup_slb(insert_slb(U,pair(V,X)),W) = lookup_slb(U,W))) # label(ax27) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 29 (all U all V check_cpq(triple(U,create_slb,V))) # label(ax36) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 30 (all U all V all W all X (contains_cpq(triple(U,V,W),X) <-> contains_slb(V,X))) # label(ax39) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 31 (all U all V (succ_cpq(U,V) -> succ_cpq(U,findmin_cpq_eff(V)))) # label(ax34) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 32 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,insert_cpq(V,W)))) # label(ax32) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 33 (all U findmin_cpq_res(U) = removemin_cpq_res(U)) # label(ax53) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 34 (all U all V all W all X (contains_slb(V,findmin_pqp_res(U)) & less_than(lookup_slb(V,findmin_pqp_res(U)),findmin_pqp_res(U)) & create_slb != V -> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),W))) # label(ax49) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 35 (all U all V ($F <-> ok(triple(U,V,bad)))) # label(ax40) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 36 (all U all V all W all X (contains_slb(V,X) & less_than(lookup_slb(V,X),X) -> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),W))) # label(ax44) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 37 (all U all V all W (succ_cpq(U,V) -> succ_cpq(U,remove_cpq(V,W)))) # label(ax33) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 38 (all U all V all W all X all Y (less_than(Y,X) -> (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) <-> check_cpq(triple(U,V,W))))) # label(ax37) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 39 (all U all V all W (-ok(triple(U,V,W)) -> W = bad)) # label(ax41) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 40 (all U succ_cpq(U,U)) # label(ax31) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 41 (all U all V all W all X (-contains_slb(V,X) -> triple(U,V,bad) = remove_cpq(triple(U,V,W),X))) # label(ax43) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 42 (all U all V all W all X triple(insert_pqp(U,X),insert_slb(V,pair(X,bottom)),W) = insert_cpq(triple(U,V,W),X)) # label(ax42) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 43 (all U all V all W all X (create_slb != V & strictly_less_than(findmin_pqp_res(U),lookup_slb(V,findmin_pqp_res(U))) & contains_slb(V,findmin_pqp_res(U)) -> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad))) # label(ax48) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 44 (all U all V bottom = findmin_cpq_res(triple(U,create_slb,V))) # label(ax50) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 45 (all U all V triple(U,create_slb,bad) = findmin_cpq_eff(triple(U,create_slb,V))) # label(ax46) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 46 (all U all V all W all X all Y (strictly_less_than(X,Y) -> (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)) <-> $F))) # label(ax38) # label(axiom) # label(non_clause). [assumption]. 0.45/1.16 47 (all U all V (succ_cpq(U,V) -> succ_cpq(U,removemin_cpq_eff(V)))) # label(ax35) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 48 (all U removemin_cpq_eff(U) = remove_cpq(findmin_cpq_eff(U),findmin_cpq_res(U))) # label(ax52) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 49 (all U all V all W all X (V != create_slb -> findmin_cpq_res(triple(U,V,W)) = findmin_pqp_res(U))) # label(ax51) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 50 (all U all V all W all X (-contains_slb(V,findmin_pqp_res(U)) & V != create_slb -> findmin_cpq_eff(triple(U,V,W)) = triple(U,update_slb(V,findmin_pqp_res(U)),bad))) # label(ax47) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 51 (all U all V all W all X (contains_slb(V,X) & strictly_less_than(X,lookup_slb(V,X)) -> remove_cpq(triple(U,V,W),X) = triple(remove_pqp(U,X),remove_slb(V,X),bad))) # label(ax45) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 52 (all U all V (contains_pq(U,V) & issmallestelement_pq(U,V) <-> pi_sharp_removemin(U,V))) # label(ax60) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 53 (all U all V (pi_sharp_remove(i(U),V) <-> pi_remove(U,V))) # label(ax57) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 54 (all U ((exists V pi_sharp_find_min(i(U),V)) <-> pi_find_min(U))) # label(ax59) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 55 (all U all V (pi_sharp_find_min(U,V) <-> contains_pq(U,V) & issmallestelement_pq(U,V))) # label(ax58) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 56 (all U all V all W all X all Y insert_pq(i(triple(U,V,W)),X) = i(triple(U,insert_slb(V,pair(X,Y)),W))) # label(ax55) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 57 (all U ((exists V pi_sharp_find_min(i(U),V)) <-> pi_removemin(U))) # label(ax61) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 58 (all U all V (contains_pq(U,V) <-> pi_sharp_remove(U,V))) # label(ax56) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 59 (all U (phi(U) <-> (exists V (ok(V) & check_cpq(V) & succ_cpq(U,V))))) # label(ax62) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 60 (all U all V i(triple(U,create_slb,V)) = create_pq) # label(ax54) # label(axiom) # label(non_clause). [assumption]. 0.45/1.17 61 (all U all V all W all X all Y i(triple(U,W,X)) = i(triple(V,W,Y))) # label(main3_li12) # label(lemma) # label(non_clause). [assumption]. 0.45/1.17 62 (all U all V all W all X (contains_pq(i(triple(U,V,W)),X) -> remove_pq(i(triple(U,V,W)),X) = i(remove_cpq(triple(U,V,W),X)))) # label(main3_li34) # label(lemma) # label(non_clause). [assumption]. 0.45/1.17 63 -(all U all V all W all X (pi_remove(triple(U,V,W),X) -> (phi(remove_cpq(triple(U,V,W),X)) -> pi_sharp_remove(i(triple(U,V,W)),X) & i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X)))) # label(co3) # label(negated_conjecture) # label(non_clause). [assumption]. 0.45/1.17 0.45/1.17 ============================== end of process non-clausal formulas === 0.45/1.17 0.45/1.17 ============================== PROCESS INITIAL CLAUSES =============== 0.45/1.17 0.45/1.17 ============================== PREDICATE ELIMINATION ================= 0.45/1.17 64 pi_sharp_remove(i(A),B) | -pi_remove(A,B) # label(ax57) # label(axiom). [clausify(53)]. 0.45/1.17 65 pi_remove(triple(c1,c2,c3),c4) # label(co3) # label(negated_conjecture). [clausify(63)]. 0.45/1.17 66 -pi_sharp_remove(i(A),B) | pi_remove(A,B) # label(ax57) # label(axiom). [clausify(53)]. 0.45/1.17 Derived: pi_sharp_remove(i(triple(c1,c2,c3)),c4). [resolve(64,b,65,a)]. 0.45/1.17 67 -phi(A) | ok(f4(A)) # label(ax62) # label(axiom). [clausify(59)]. 0.45/1.17 68 phi(remove_cpq(triple(c1,c2,c3),c4)) # label(co3) # label(negated_conjecture). [clausify(63)]. 0.45/1.17 Derived: ok(f4(remove_cpq(triple(c1,c2,c3),c4))). [resolve(67,a,68,a)]. 0.45/1.17 69 -phi(A) | check_cpq(f4(A)) # label(ax62) # label(axiom). [clausify(59)]. 0.45/1.17 Derived: check_cpq(f4(remove_cpq(triple(c1,c2,c3),c4))). [resolve(69,a,68,a)]. 0.45/1.17 70 -phi(A) | succ_cpq(A,f4(A)) # label(ax62) # label(axiom). [clausify(59)]. 0.45/1.17 Derived: succ_cpq(remove_cpq(triple(c1,c2,c3),c4),f4(remove_cpq(triple(c1,c2,c3),c4))). [resolve(70,a,68,a)]. 0.45/1.17 71 phi(A) | -ok(B) | -check_cpq(B) | -succ_cpq(A,B) # label(ax62) # label(axiom). [clausify(59)]. 0.45/1.17 Derived: -ok(A) | -check_cpq(A) | -succ_cpq(B,A) | ok(f4(B)). [resolve(71,a,67,a)]. 0.45/1.17 Derived: -ok(A) | -check_cpq(A) | -succ_cpq(B,A) | check_cpq(f4(B)). [resolve(71,a,69,a)]. 0.45/1.17 Derived: -ok(A) | -check_cpq(A) | -succ_cpq(B,A) | succ_cpq(B,f4(B)). [resolve(71,a,70,a)]. 0.45/1.17 72 -contains_pq(A,B) | less_than(C,B) | -issmallestelement_pq(A,C) # label(ax10) # label(axiom). [clausify(8)]. 0.45/1.17 73 contains_pq(A,f1(A,B)) | issmallestelement_pq(A,B) # label(ax10) # label(axiom). [clausify(8)]. 0.45/1.17 74 issmallestelement_pq(A,B) | -pi_sharp_removemin(A,B) # label(ax60) # label(axiom). [clausify(52)]. 0.45/1.17 75 -pi_sharp_find_min(A,B) | issmallestelement_pq(A,B) # label(ax58) # label(axiom). [clausify(55)]. 0.45/1.17 76 -less_than(A,f1(B,A)) | issmallestelement_pq(B,A) # label(ax10) # label(axiom). [clausify(8)]. 0.45/1.17 Derived: -contains_pq(A,B) | less_than(C,B) | contains_pq(A,f1(A,C)). [resolve(72,c,73,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | less_than(C,B) | -pi_sharp_removemin(A,C). [resolve(72,c,74,a)]. 0.45/1.17 Derived: -contains_pq(A,B) | less_than(C,B) | -pi_sharp_find_min(A,C). [resolve(72,c,75,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | less_than(C,B) | -less_than(C,f1(A,C)). [resolve(72,c,76,b)]. 0.45/1.17 77 -contains_pq(A,B) | -issmallestelement_pq(A,B) | pi_sharp_removemin(A,B) # label(ax60) # label(axiom). [clausify(52)]. 0.45/1.17 Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | contains_pq(A,f1(A,B)). [resolve(77,b,73,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | -pi_sharp_find_min(A,B). [resolve(77,b,75,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | pi_sharp_removemin(A,B) | -less_than(B,f1(A,B)). [resolve(77,b,76,b)]. 0.45/1.17 78 pi_sharp_find_min(A,B) | -contains_pq(A,B) | -issmallestelement_pq(A,B) # label(ax58) # label(axiom). [clausify(55)]. 0.45/1.17 Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(78,c,73,b)]. 0.45/1.17 Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -pi_sharp_removemin(A,B). [resolve(78,c,74,a)]. 0.45/1.17 Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -less_than(B,f1(A,B)). [resolve(78,c,76,b)]. 0.45/1.17 79 -contains_pq(A,B) | -issmallestelement_pq(A,B) | findmin_pq_eff(A,B) = A # label(ax13) # label(axiom). [clausify(6)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | contains_pq(A,f1(A,B)). [resolve(79,b,73,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_removemin(A,B). [resolve(79,b,74,a)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_find_min(A,B). [resolve(79,b,75,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -less_than(B,f1(A,B)). [resolve(79,b,76,b)]. 0.45/1.17 80 -contains_pq(A,B) | -issmallestelement_pq(A,B) | findmin_pq_res(A,B) = B # label(ax14) # label(axiom). [clausify(11)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | contains_pq(A,f1(A,B)). [resolve(80,b,73,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_removemin(A,B). [resolve(80,b,74,a)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_find_min(A,B). [resolve(80,b,75,b)]. 0.45/1.17 Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -less_than(B,f1(A,B)). [resolve(80,b,76,b)]. 0.45/1.17 81 -issmallestelement_pq(A,B) | -contains_pq(A,B) | removemin_pq_res(A,B) = B # label(ax16) # label(axiom). [clausify(15)]. 0.94/1.18 Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | contains_pq(A,f1(A,B)). [resolve(81,a,73,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_removemin(A,B). [resolve(81,a,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_find_min(A,B). [resolve(81,a,75,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -less_than(B,f1(A,B)). [resolve(81,a,76,b)]. 0.94/1.18 82 -issmallestelement_pq(A,B) | -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) # label(ax15) # label(axiom). [clausify(12)]. 0.94/1.18 Derived: -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | contains_pq(A,f1(A,B)). [resolve(82,a,73,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | -pi_sharp_removemin(A,B). [resolve(82,a,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | -pi_sharp_find_min(A,B). [resolve(82,a,75,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | -less_than(B,f1(A,B)). [resolve(82,a,76,b)]. 0.94/1.18 83 -contains_pq(A,B) | pi_sharp_removemin(A,B) | contains_pq(A,f1(A,B)). [resolve(77,b,73,b)]. 0.94/1.18 84 contains_pq(A,B) | -pi_sharp_removemin(A,B) # label(ax60) # label(axiom). [clausify(52)]. 0.94/1.18 85 -contains_pq(A,B) | less_than(C,B) | -pi_sharp_removemin(A,C). [resolve(72,c,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | contains_pq(A,f1(A,B)) | -contains_pq(A,C) | less_than(B,C). [resolve(83,b,85,c)]. 0.94/1.18 86 -contains_pq(A,B) | pi_sharp_removemin(A,B) | -pi_sharp_find_min(A,B). [resolve(77,b,75,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | -pi_sharp_find_min(A,B) | -contains_pq(A,C) | less_than(B,C). [resolve(86,b,85,c)]. 0.94/1.18 87 -contains_pq(A,B) | pi_sharp_removemin(A,B) | -less_than(B,f1(A,B)). [resolve(77,b,76,b)]. 0.94/1.18 Derived: -contains_pq(A,B) | -less_than(B,f1(A,B)) | -contains_pq(A,C) | less_than(B,C). [resolve(87,b,85,c)]. 0.94/1.18 88 pi_sharp_find_min(A,B) | -contains_pq(A,B) | -pi_sharp_removemin(A,B). [resolve(78,c,74,a)]. 0.94/1.18 Derived: pi_sharp_find_min(A,B) | -contains_pq(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(88,c,83,b)]. 0.94/1.18 89 -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -pi_sharp_removemin(A,B). [resolve(79,b,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | findmin_pq_eff(A,B) = A | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(89,c,83,b)]. 0.94/1.18 90 -contains_pq(A,B) | findmin_pq_res(A,B) = B | -pi_sharp_removemin(A,B). [resolve(80,b,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | findmin_pq_res(A,B) = B | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(90,c,83,b)]. 0.94/1.18 91 -contains_pq(A,B) | removemin_pq_res(A,B) = B | -pi_sharp_removemin(A,B). [resolve(81,a,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | removemin_pq_res(A,B) = B | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(91,c,83,b)]. 0.94/1.18 92 -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | -pi_sharp_removemin(A,B). [resolve(82,a,74,a)]. 0.94/1.18 Derived: -contains_pq(A,B) | remove_pq(A,B) = removemin_pq_eff(A,B) | -contains_pq(A,B) | contains_pq(A,f1(A,B)). [resolve(92,c,83,b)]. 0.94/1.18 93 pi_sharp_find_min(i(A),f2(A)) | -pi_find_min(A) # label(ax59) # label(axiom). [clausify(54)]. 0.94/1.18 94 -pi_sharp_find_min(i(A),B) | pi_find_min(A) # label(ax59) # label(axiom). [clausify(54)]. 0.94/1.18 Derived: pi_sharp_find_min(i(A),f2(A)) | -pi_sharp_find_min(i(A),B). [resolve(93,b,94,b)]. 0.94/1.18 95 pi_sharp_find_min(i(A),f3(A)) | -pi_removemin(A) # label(ax61) # label(axiom). [clausify(57)]. 0.94/1.18 96 -pi_sharp_find_min(i(A),B) | pi_removemin(A) # label(ax61) # label(axiom). [clausify(57)]. 0.94/1.18 Derived: pi_sharp_find_min(i(A),f3(A)) | -pi_sharp_find_min(i(A),B). [resolve(95,b,96,b)]. 0.94/1.18 0.94/1.18 ============================== end predicate elimination ============= 0.94/1.18 0.94/1.18 Auto_denials: (non-Horn, no changes). 0.94/1.18 0.94/1.18 Term ordering decisions: 0.94/1.18 Function symbol KB weights: create_slb=1. bad=1. bottom=1. create_pq=1. c1=1. c2=1. c3=1. c4=1. insert_slb=1. pair=1. insert_pq=1. remove_cpq=1. remove_pq=1. update_slb=1. lookup_slb=1. remove_slb=1. findmin_pq_eff=1. findmin_pq_res=1. removemin_pq_eff=1. removemin_pq_res=1. insert_cpq=1. remove_pqp=1. insert_pqp=1. f1=1. i=1. findmin_pqp_res=1. findmin_cpq_eff=1. findmin_cpq_res=1. removemin_cpq_eff=1 1.10/1.37 Fatal error: renum_vars_recurse: too many variables 1.10/1.37 1.10/1.37 . removemin_cpq_res=1. f2=1. f3=1. f4=1. triple=1. 1.10/1.37 1.10/1.37 ============================== end of process initial clauses ======== 1.10/1.37 1.10/1.37 ============================== CLAUSES FOR SEARCH ==================== 1.10/1.37 1.10/1.37 ============================== end of clauses for search ============= 1.10/1.37 1.10/1.37 ============================== SEARCH ================================ 1.10/1.37 1.10/1.37 % Starting search at 0.03 seconds. 1.10/1.37 1.10/1.37 Fatal error: renum_vars_recurse: too many variables 1.10/1.37 1.10/1.37 Prover9 interrupted 1.10/1.37 EOF