0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : tptp2X_and_run_prover9 %d %s 0.10/0.30 % Computer : n014.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % DateTime : Thu Jul 2 06:46:10 EDT 2020 0.10/0.31 % CPUTime : 0.80/1.11 ============================== Prover9 =============================== 0.80/1.11 Prover9 (32) version 2009-11A, November 2009. 0.80/1.11 Process 14829 was started by sandbox2 on n014.cluster.edu, 0.80/1.11 Thu Jul 2 06:46:11 2020 0.80/1.11 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_14676_n014.cluster.edu". 0.80/1.11 ============================== end of head =========================== 0.80/1.11 0.80/1.11 ============================== INPUT ================================= 0.80/1.11 0.80/1.11 % Reading from file /tmp/Prover9_14676_n014.cluster.edu 0.80/1.11 0.80/1.11 set(prolog_style_variables). 0.80/1.11 set(auto2). 0.80/1.11 % set(auto2) -> set(auto). 0.80/1.11 % set(auto) -> set(auto_inference). 0.80/1.11 % set(auto) -> set(auto_setup). 0.80/1.11 % set(auto_setup) -> set(predicate_elim). 0.80/1.11 % set(auto_setup) -> assign(eq_defs, unfold). 0.80/1.11 % set(auto) -> set(auto_limits). 0.80/1.11 % set(auto_limits) -> assign(max_weight, "100.000"). 0.80/1.11 % set(auto_limits) -> assign(sos_limit, 20000). 0.80/1.11 % set(auto) -> set(auto_denials). 0.80/1.11 % set(auto) -> set(auto_process). 0.80/1.11 % set(auto2) -> assign(new_constants, 1). 0.80/1.11 % set(auto2) -> assign(fold_denial_max, 3). 0.80/1.11 % set(auto2) -> assign(max_weight, "200.000"). 0.80/1.11 % set(auto2) -> assign(max_hours, 1). 0.80/1.11 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.80/1.11 % set(auto2) -> assign(max_seconds, 0). 0.80/1.11 % set(auto2) -> assign(max_minutes, 5). 0.80/1.11 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.80/1.11 % set(auto2) -> set(sort_initial_sos). 0.80/1.11 % set(auto2) -> assign(sos_limit, -1). 0.80/1.11 % set(auto2) -> assign(lrs_ticks, 3000). 0.80/1.11 % set(auto2) -> assign(max_megs, 400). 0.80/1.11 % set(auto2) -> assign(stats, some). 0.80/1.11 % set(auto2) -> clear(echo_input). 0.80/1.11 % set(auto2) -> set(quiet). 0.80/1.11 % set(auto2) -> clear(print_initial_clauses). 0.80/1.11 % set(auto2) -> clear(print_given). 0.80/1.11 assign(lrs_ticks,-1). 0.80/1.11 assign(sos_limit,10000). 0.80/1.11 assign(order,kbo). 0.80/1.11 set(lex_order_vars). 0.80/1.11 clear(print_given). 0.80/1.11 0.80/1.11 % formulas(sos). % not echoed (92 formulas) 0.80/1.11 0.80/1.11 ============================== end of input ========================== 0.80/1.11 0.80/1.11 % From the command line: assign(max_seconds, 960). 0.80/1.11 0.80/1.11 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.80/1.11 0.80/1.11 % Formulas that are not ordinary clauses: 0.80/1.11 1 (all X all U all VAL VAL = a_select2(tptp_update2(X,U,VAL),U)) # label(sel2_update_1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 2 (all I all L all U all Val (leq(I,U) & leq(L,I) -> Val = a_select2(tptp_const_array1(dim(L,U),Val),I))) # label(const_array1_select) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 3 (all X all Y (leq(X,Y) <-> gt(succ(Y),X))) # label(leq_succ_gt_equiv) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 4 (all X all Y (leq(X,Y) & X != Y -> gt(Y,X))) # label(leq_gt2) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 5 (all X succ(succ(succ(succ(succ(X))))) = plus(X,n5)) # label(succ_plus_5_r) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 6 (all X minus(X,n1) = pred(X)) # label(pred_minus_1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 7 (all X succ(succ(succ(succ(X)))) = plus(X,n4)) # label(succ_plus_4_r) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 8 (all X all Y all Z (gt(Y,Z) & gt(X,Y) -> gt(X,Z))) # label(transitivity_gt) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 9 (all A all B all N all M ((all I all J (leq(n0,I) & leq(I,M) & leq(J,M) & leq(n0,J) -> a_select3(B,J,I) = a_select3(B,I,J))) -> (all I all J (leq(n0,I) & leq(J,N) & leq(I,N) & leq(n0,J) -> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I))))) # label(matrix_symm_aba2) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 10 (all X X = pred(succ(X))) # label(pred_succ) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 11 (all X succ(succ(succ(succ(X)))) = plus(n4,X)) # label(succ_plus_4_l) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 12 (all I all U all X all VAL (leq(I,U) & leq(n0,I) & (all I0 (leq(n0,I0) & leq(I0,U) -> VAL = a_select2(X,I0))) -> a_select2(tptp_update2(X,U,VAL),I) = VAL)) # label(sel2_update_3) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 13 (all A all N ((all I all J (leq(n0,J) & leq(J,N) & leq(I,N) & leq(n0,I) -> a_select3(A,J,I) = a_select3(A,I,J))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(J,N) & leq(n0,J) -> a_select3(inv(A),J,I) = a_select3(inv(A),I,J))))) # label(matrix_symm_inv) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 14 (all X succ(succ(succ(X))) = plus(n3,X)) # label(succ_plus_3_l) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 15 (all X plus(X,n1) = succ(X)) # label(succ_plus_1_r) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 16 (all X succ(X) = plus(n1,X)) # label(succ_plus_1_l) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 17 (all I all U all X all VAL all VAL2 (VAL = a_select2(X,U) & U != I -> VAL = a_select2(tptp_update2(X,I,VAL2),U))) # label(sel2_update_2) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 18 (all A all N ((all I all J (leq(n0,J) & leq(n0,I) & leq(J,N) & leq(I,N) -> a_select3(A,J,I) = a_select3(A,I,J))) -> (all I all J all K all VAL (leq(n0,K) & leq(K,N) & leq(J,N) & leq(n0,J) & leq(I,N) & leq(n0,I) -> a_select3(tptp_update3(A,K,K,VAL),I,J) = a_select3(tptp_update3(A,K,K,VAL),J,I))))) # label(matrix_symm_update_diagonal) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 19 (all X -gt(X,X)) # label(irreflexivity_gt) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 20 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(transitivity_leq) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 21 (all A all B all C all D all E all F all N all M ((all I all J (leq(n0,I) & leq(n0,J) & leq(J,M) & leq(I,M) -> a_select3(D,J,I) = a_select3(D,I,J))) & (all I all J (leq(n0,I) & leq(J,N) & leq(n0,J) & leq(I,N) -> a_select3(A,J,I) = a_select3(A,I,J))) & (all I all J (leq(n0,I) & leq(J,N) & leq(n0,J) & leq(I,N) -> a_select3(F,I,J) = a_select3(F,J,I))) -> (all I all J (leq(n0,I) & leq(n0,J) & leq(J,N) & leq(I,N) -> a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),J,I) = a_select3(tptp_madd(A,tptp_mmul(B,tptp_mmul(tptp_madd(tptp_mmul(C,tptp_mmul(D,trans(C))),tptp_mmul(E,tptp_mmul(F,trans(E)))),trans(B)))),I,J))))) # label(matrix_symm_joseph_update) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 22 (all A all B all N ((all I all J (leq(n0,I) & leq(J,N) & leq(n0,J) & leq(I,N) -> a_select3(A,I,J) = a_select3(A,J,I))) & (all I all J (leq(n0,J) & leq(J,N) & leq(n0,I) & leq(I,N) -> a_select3(B,I,J) = a_select3(B,J,I))) -> (all I all J (leq(n0,I) & leq(I,N) & leq(J,N) & leq(n0,J) -> a_select3(tptp_msub(A,B),J,I) = a_select3(tptp_msub(A,B),I,J))))) # label(matrix_symm_sub) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 23 (all A all B all N ((all I all J (leq(n0,J) & leq(I,N) & leq(n0,I) & leq(J,N) -> a_select3(A,I,J) = a_select3(A,J,I))) & (all I all J (leq(n0,J) & leq(J,N) & leq(I,N) & leq(n0,I) -> a_select3(B,J,I) = a_select3(B,I,J))) -> (all I all J (leq(n0,I) & leq(J,N) & leq(n0,J) & leq(I,N) -> a_select3(tptp_madd(A,B),J,I) = a_select3(tptp_madd(A,B),I,J))))) # label(matrix_symm_add) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 24 (all A all N ((all I all J (leq(n0,J) & leq(n0,I) & leq(J,N) & leq(I,N) -> a_select3(A,I,J) = a_select3(A,J,I))) -> (all I all J (leq(J,N) & leq(n0,J) & leq(I,N) & leq(n0,I) -> a_select3(trans(A),I,J) = a_select3(trans(A),J,I))))) # label(matrix_symm_trans) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 25 (all A all B all N ((all I all J (leq(J,N) & leq(n0,I) & leq(I,N) & leq(n0,J) -> a_select3(B,J,I) = a_select3(B,I,J))) -> (all I all J (leq(n0,I) & leq(J,N) & leq(n0,J) & leq(I,N) -> a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I) = a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J))))) # label(matrix_symm_aba1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 26 (all X plus(n5,X) = succ(succ(succ(succ(succ(X)))))) # label(succ_plus_5_l) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 27 (all X succ(succ(X)) = plus(n2,X)) # label(succ_plus_2_l) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 28 (all Body sum(n0,tptp_minus_1,Body) = tptp_float_0_0) # label(sum_plus_base_float) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 29 (all X succ(succ(succ(X))) = plus(X,n3)) # label(succ_plus_3_r) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 30 (all X all C (leq(n0,X) -> leq(uniform_int_rnd(C,X),X))) # label(uniform_int_rand_ranges_hi) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 31 (all X all U all V all VAL VAL = a_select3(tptp_update3(X,U,V,VAL),U,V)) # label(sel3_update_1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 32 (all X all Y (leq(succ(X),Y) -> gt(Y,X))) # label(leq_succ_gt) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 33 (all X all Y (gt(Y,X) -> leq(X,Y))) # label(leq_gt1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 34 (all Body n0 = sum(n0,tptp_minus_1,Body)) # label(sum_plus_base) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 35 (all X all Y (leq(X,Y) <-> leq(succ(X),succ(Y)))) # label(leq_succ_succ) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 36 (all I all J all U all V all X all VAL (leq(I,U) & (all I0 all J0 (leq(n0,I0) & leq(n0,J0) & leq(I0,U) & leq(J0,V) -> a_select3(X,I0,J0) = VAL)) & leq(J,V) & leq(n0,J) & leq(n0,I) -> a_select3(tptp_update3(X,U,V,VAL),I,J) = VAL)) # label(sel3_update_3) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 37 (all X all Y (geq(X,Y) <-> leq(Y,X))) # label(leq_geq) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 38 (all X all Y (gt(Y,X) <-> leq(X,pred(Y)))) # label(leq_gt_pred) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 39 (all X all Y (lt(X,Y) <-> gt(Y,X))) # label(lt_gt) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 40 (all X leq(X,X)) # label(reflexivity_leq) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 41 (all I all J all U all V all X all VAL all VAL2 (I != U & a_select3(X,U,V) = VAL & J = V -> VAL = a_select3(tptp_update3(X,I,J,VAL2),U,V))) # label(sel3_update_2) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 42 (all X gt(succ(X),X)) # label(gt_succ) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 43 (all X all Y (gt(X,Y) | X = Y | gt(Y,X))) # label(totality) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 44 (all I all L1 all U1 all J all L2 all U2 all Val (leq(L2,J) & leq(J,U2) & leq(I,U1) & leq(L1,I) -> a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J) = Val)) # label(const_array2_select) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 45 (all X succ(pred(X)) = X) # label(succ_pred) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 46 (all X succ(succ(X)) = plus(X,n2)) # label(succ_plus_2_r) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 47 (all X all Y (leq(X,Y) -> leq(X,succ(Y)))) # label(leq_succ) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 48 (all X all Y (leq(minus(X,Y),X) -> leq(n0,Y))) # label(leq_minus) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 49 (all X all C (leq(n0,X) -> leq(n0,uniform_int_rnd(C,X)))) # label(uniform_int_rand_ranges_lo) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 50 (all X (leq(n0,X) & leq(X,n4) -> X = n1 | n2 = X | n3 = X | X = n4 | X = n0)) # label(finite_domain_4) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 51 (all X (leq(X,n3) & leq(n0,X) -> n1 = X | n3 = X | X = n2 | n0 = X)) # label(finite_domain_3) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 52 (all X (leq(n0,X) & leq(X,n0) -> n0 = X)) # label(finite_domain_0) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 53 (all X (leq(n0,X) & leq(X,n2) -> X = n1 | n2 = X | n0 = X)) # label(finite_domain_2) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 54 (all X (leq(n0,X) & leq(X,n1) -> n1 = X | n0 = X)) # label(finite_domain_1) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 55 (all X (leq(n0,X) & leq(X,n5) -> n0 = X | n2 = X | X = n5 | X = n4 | X = n3 | n1 = X)) # label(finite_domain_5) # label(axiom) # label(non_clause). [assumption]. 0.80/1.11 56 -(leq(pv5,n998) & leq(pv58,n5) & (all G all H (leq(n0,G) & leq(G,n5) & leq(H,n5) & leq(n0,H) -> (pv57 = G & gt(pv58,H) -> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G)))) & (all I all J (leq(I,n5) & leq(J,n5) & leq(n0,J) & leq(n0,I) -> (gt(pv57,I) -> a_select3(id_ds1_filter,J,I) = a_select3(id_ds1_filter,I,J)))) & (all K (leq(K,pred(pv57)) & leq(n0,K) -> (all L (leq(L,n5) & leq(n0,L) -> a_select3(id_ds1_filter,L,K) = a_select3(id_ds1_filter,K,L))))) & (all E all F (leq(E,n5) & leq(F,n5) & leq(n0,F) & leq(n0,E) -> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E))) & (all C all D (leq(C,n2) & leq(D,n2) & leq(n0,D) & leq(n0,C) -> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C))) & (all A all B (leq(n0,B) & leq(B,n5) & leq(A,n5) & leq(n0,A) -> a_select3(q_ds1_filter,B,A) = a_select3(q_ds1_filter,A,B))) & gt(pv58,pv57) & leq(pv57,n5) & leq(n0,pv57) & leq(n0,pv5) -> (all M (leq(M,pred(pv57)) & leq(n0,M) -> (all N (leq(N,n5) & leq(n0,N) -> (M != pv57 & -(pv57 = N & M = N) -> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M))))))) # label(quaternion_ds1_symm_0401) # label(negated_conjecture) # label(non_clause). [assumption]. 22.81/23.10 22.81/23.10 ============================== end of process non-clausal formulas === 22.81/23.10 22.81/23.10 ============================== PROCESS INITIAL CLAUSES =============== 22.81/23.10 22.81/23.10 ============================== PREDICATE ELIMINATION ================= 22.81/23.10 57 geq(A,B) | -leq(B,A) # label(leq_geq) # label(axiom). [clausify(37)]. 22.81/23.10 58 -geq(A,B) | leq(B,A) # label(leq_geq) # label(axiom). [clausify(37)]. 22.81/23.10 59 lt(A,B) | -gt(B,A) # label(lt_gt) # label(axiom). [clausify(39)]. 22.81/23.10 60 -lt(A,B) | gt(B,A) # label(lt_gt) # label(axiom). [clausify(39)]. 22.81/23.10 22.81/23.10 ============================== end predicate elimination ============= 22.81/23.10 22.81/23.10 Auto_denials: (non-Horn, no changes). 22.81/23.10 22.81/23.10 Term ordering decisions: 22.81/23.10 Function symbol KB weights: n0=1. n5=1. n1=1. n2=1. n3=1. n4=1. tptp_minus_1=1. n998=1. pv57=1. id_ds1_filter=1. pv58=1. pminus_ds1_filter=1. pv5=1. q_ds1_filter=1. r_ds1_filter=1. tptp_float_0_0=1. def=1. use=1. c1=1. c2=1. tptp_mmul=1. tptp_madd=1. tptp_msub=1. plus=1. a_select2=1. dim=1. minus=1. uniform_int_rnd=1. tptp_const_array1=1. f4=1. f5=1. f6=1. f7=1. f22=1. f23=1. trans=1. succ=1. inv=1. pred=1. a_select3=1. tptp_update2=1. sum=1. tptp_const_array2=1. f14=1. f15=1. f16=1. f17=1. f18=1. f19=1. f20=1. f21=1. f24=1. f25=1. tptp_update3=1. f1=1. f2=1. f3=1. f26=1. f27=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. 22.81/23.10 22.81/23.10 ============================== end of process initial clauses ======== 22.81/23.10 22.81/23.10 ============================== CLAUSES FOR SEARCH ==================== 22.81/23.10 22.81/23.10 ============================== end of clauses for search ============= 22.81/23.10 22.81/23.10 ============================== SEARCH ================================ 22.81/23.10 22.81/23.10 % Starting search at 0.27 seconds. 22.81/23.10 22.81/23.10 Low Water (keep): wt=140.000, iters=3539 22.81/23.10 22.81/23.10 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 937 (0.00 of 2.28 sec). 22.81/23.10 22.81/23.10 Low Water (keep): wt=113.000, iters=3420 22.81/23.10 22.81/23.10 Low Water (keep): wt=86.000, iters=3413 22.81/23.10 22.81/23.10 Low Water (keep): wt=83.000, iters=3692 22.81/23.10 22.81/23.10 Low Water (keep): wt=80.000, iters=3452 22.81/23.10 22.81/23.10 Low Water (keep): wt=58.000, iters=3405 22.81/23.10 22.81/23.10 Low Water (keep): wt=49.000, iters=3453 22.81/23.10 22.81/23.10 Low Water (keep): wt=43.000, iters=3365 22.81/23.10 22.81/23.10 Low Water (keep): wt=40.000, iters=3536 22.81/23.10 22.81/23.10 Low Water (displace): id=4233, wt=189.000 22.81/23.10 22.81/23.10 Low Water (displace): id=5623, wt=179.000 22.81/23.10 22.81/23.10 Low Water (displace): id=10936, wt=34.000 22.81/23.10 22.81/23.10 Low Water (displace): id=10940, wt=22.000 22.81/23.10 22.81/23.10 Low Water (keep): wt=37.000, iters=3496 22.81/23.10 22.81/23.10 Low Water (keep): wt=35.000, iters=3361 22.81/23.10 22.81/23.10 Low Water (keep): wt=34.000, iters=3366 22.81/23.10 22.81/23.10 Low Water (displace): id=11104, wt=19.000 22.81/23.10 22.81/23.10 Low Water (displace): id=12781, wt=16.000 22.81/23.10 22.81/23.10 Low Water (keep): wt=32.000, iters=3350 22.81/23.10 22.81/23.10 Low Water (keep): wt=31.000, iters=3376 22.81/23.10 22.81/23.10 Low Water (keep): wt=30.000, iters=3364 22.81/23.10 22.81/23.10 Low Water (keep): wt=28.000, iters=3355 22.81/23.10 22.81/23.10 Low Water (keep): wt=27.000, iters=3373 22.81/23.10 22.81/23.10 Low Water (keep): wt=25.000, iters=3345 22.81/23.10 22.81/23.10 Low Water (displace): id=18978, wt=8.000 22.81/23.10 22.81/23.10 Low Water (displace): id=18998, wt=7.000 22.81/23.10 22.81/23.10 Low Water (displace): id=19341, wt=6.000 22.81/23.10 22.81/23.10 Low Water (displace): id=23366, wt=5.000 22.81/23.10 22.81/23.10 Low Water (keep): wt=24.000, iters=3344 22.81/23.10 22.81/23.10 Low Water (keep): wt=23.000, iters=3340 22.81/23.10 22.81/23.10 Low Water (keep): wt=22.000, iters=3356 22.81/23.10 22.81/23.10 Low Water (keep): wt=21.000, iters=3335 22.81/23.10 22.81/23.10 Low Water (keep): wt=20.000, iters=3333 22.81/23.10 22.81/23.10 Low Water (keep): wt=19.000, iters=3343 22.81/23.10 22.81/23.10 Low Water (keep): wt=18.000, iters=3497 22.81/23.10 22.81/23.10 Low Water (keep): wt=17.000, iters=3338 22.81/23.10 22.81/23.10 Low Water (keep): wt=16.000, iters=3335 22.81/23.10 22.81/23.10 Low Water (keep): wt=15.000, iters=3333 22.81/23.10 22.81/23.10 ============================== PROOF ================================= 22.81/23.10 % SZS status Theorem 22.81/23.10 % SZS output start Refutation 22.81/23.10 22.81/23.10 % Proof 1 at 21.49 (+ 0.51) seconds. 22.81/23.10 % Length of proof is 10. 22.81/23.10 % Level of proof is 3. 22.81/23.10 % Maximum clause weight is 22.000. 22.81/23.10 % Given clauses 3116. 22.81/23.10 22.81/23.10 56 -(leq(pv5,n998) & leq(pv58,n5) & (all G all H (leq(n0,G) & leq(G,n5) & leq(H,n5) & leq(n0,H) -> (pv57 = G & gt(pv58,H) -> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G)))) & (all I all J (leq(I,n5) & leq(J,n5) & leq(n0,J) & leq(n0,I) -> (gt(pv57,I) -> a_select3(id_ds1_filter,J,I) = a_select3(id_ds1_filter,I,J)))) & (all K (leq(K,pred(pv57)) & leq(n0,K) -> (all L (leq(L,n5) & leq(n0,L) -> a_select3(id_ds1_filter,L,K) = a_select3(id_ds1_filter,K,L))))) & (all E all F (leq(E,n5) & leq(F,n5) & leq(n0,F) & leq(n0,E) -> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E))) & (all C all D (leq(C,n2) & leq(D,n2) & leq(n0,D) & leq(n0,C) -> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C))) & (all A all B (leq(n0,B) & leq(B,n5) & leq(A,n5) & leq(n0,A) -> a_select3(q_ds1_filter,B,A) = a_select3(q_ds1_filter,A,B))) & gt(pv58,pv57) & leq(pv57,n5) & leq(n0,pv57) & leq(n0,pv5) -> (all M (leq(M,pred(pv57)) & leq(n0,M) -> (all N (leq(N,n5) & leq(n0,N) -> (M != pv57 & -(pv57 = N & M = N) -> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M))))))) # label(quaternion_ds1_symm_0401) # label(negated_conjecture) # label(non_clause). [assumption]. 22.81/23.10 372 -leq(A,pred(pv57)) | -leq(n0,A) | -leq(B,n5) | -leq(n0,B) | a_select3(id_ds1_filter,A,B) = a_select3(id_ds1_filter,B,A) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 380 leq(c1,pred(pv57)) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 381 leq(n0,c1) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 382 leq(c2,n5) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 383 leq(n0,c2) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 388 a_select3(id_ds1_filter,c1,c2) != a_select3(id_ds1_filter,c2,c1) # label(quaternion_ds1_symm_0401) # label(negated_conjecture). [clausify(56)]. 22.81/23.10 389 a_select3(id_ds1_filter,c2,c1) != a_select3(id_ds1_filter,c1,c2). [copy(388),flip(a)]. 22.81/23.10 4155 -leq(A,n5) | -leq(n0,A) | a_select3(id_ds1_filter,c1,A) = a_select3(id_ds1_filter,A,c1). [resolve(380,a,372,a),unit_del(a,381)]. 22.81/23.10 49923 $F. [resolve(4155,a,382,a),flip(b),unit_del(a,383),unit_del(b,389)]. 22.81/23.10 22.81/23.10 % SZS output end Refutation 22.81/23.10 ============================== end of proof ========================== 22.81/23.10 22.81/23.10 ============================== STATISTICS ============================ 22.81/23.10 22.81/23.10 Given=3116. Generated=944201. Kept=49842. proofs=1. 22.81/23.10 Usable=3100. Sos=9999. Demods=1762. Limbo=20, Disabled=37036. Hints=0. 22.81/23.10 Megabytes=46.62. 22.81/23.10 User_CPU=21.49, System_CPU=0.51, Wall_clock=22. 22.81/23.10 22.81/23.10 ============================== end of statistics ===================== 22.81/23.10 22.81/23.10 ============================== end of search ========================= 22.81/23.10 22.81/23.10 THEOREM PROVED 22.81/23.10 % SZS status Theorem 22.81/23.10 22.81/23.10 Exiting with 1 proof. 22.81/23.10 22.81/23.10 Process 14829 exit (max_proofs) Thu Jul 2 06:46:33 2020 22.81/23.10 Prover9 interrupted 22.81/23.10 EOF