%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : SWV037+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jul 27 13:19:43 EDT 2022 % Result : Unknown 5.52s 5.69s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV037+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.12 % Command : otter-tptp-script %s % 0.13/0.33 % Computer : n025.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 300 % 0.13/0.33 % DateTime : Wed Jul 27 06:05:15 EDT 2022 % 0.13/0.33 % CPUTime : % 2.59/2.77 ----- Otter 3.3f, August 2004 ----- % 2.59/2.77 The process was started by sandbox2 on n025.cluster.edu, % 2.59/2.77 Wed Jul 27 06:05:15 2022 % 2.59/2.77 The command was "./otter". The process ID is 5025. % 2.59/2.77 % 2.59/2.77 set(prolog_style_variables). % 2.59/2.77 set(auto). % 2.59/2.77 dependent: set(auto1). % 2.59/2.77 dependent: set(process_input). % 2.59/2.77 dependent: clear(print_kept). % 2.59/2.77 dependent: clear(print_new_demod). % 2.59/2.77 dependent: clear(print_back_demod). % 2.59/2.77 dependent: clear(print_back_sub). % 2.59/2.77 dependent: set(control_memory). % 2.59/2.77 dependent: assign(max_mem, 12000). % 2.59/2.77 dependent: assign(pick_given_ratio, 4). % 2.59/2.77 dependent: assign(stats_level, 1). % 2.59/2.77 dependent: assign(max_seconds, 10800). % 2.59/2.77 clear(print_given). % 2.59/2.77 % 2.59/2.77 formula_list(usable). % 2.59/2.77 all A (A=A). % 2.59/2.77 all X Y (gt(X,Y)|gt(Y,X)|X=Y). % 2.59/2.77 all X Y Z (gt(X,Y)>(Y,Z)->gt(X,Z)). % 2.59/2.77 all X (-gt(X,X)). % 2.59/2.77 all X le_q(X,X). % 2.59/2.77 all X Y Z (le_q(X,Y)&le_q(Y,Z)->le_q(X,Z)). % 2.59/2.77 all X Y (lt(X,Y)<->gt(Y,X)). % 2.59/2.77 all X Y (ge_q(X,Y)<->le_q(Y,X)). % 2.59/2.77 all X Y (gt(Y,X)->le_q(X,Y)). % 2.59/2.77 all X Y (le_q(X,Y)&X!=Y->gt(Y,X)). % 2.59/2.77 all X Y (le_q(X,pred(Y))<->gt(Y,X)). % 2.59/2.77 all X gt(succ(X),X). % 2.59/2.77 all X Y (le_q(X,Y)->le_q(X,succ(Y))). % 2.59/2.77 all X Y (le_q(X,Y)<->gt(succ(Y),X)). % 2.59/2.77 all X C (le_q(n0,X)->le_q(uniform_int_rnd(C,X),X)). % 2.59/2.77 all X C (le_q(n0,X)->le_q(n0,uniform_int_rnd(C,X))). % 2.59/2.77 all I L U Val (le_q(L,I)&le_q(I,U)->a_select2(tptp_const_array1(dim(L,U),Val),I)=Val). % 2.59/2.77 all I L1 U1 J L2 U2 Val (le_q(L1,I)&le_q(I,U1)&le_q(L2,J)&le_q(J,U2)->a_select3(tptp_const_array2(dim(L1,U1),dim(L2,U2),Val),I,J)=Val). % 2.59/2.77 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(trans(A),I,J)=a_select3(trans(A),J,I)))). % 2.59/2.77 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(inv(A),I,J)=a_select3(inv(A),J,I)))). % 2.59/2.77 all A N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))-> (all I J K VAL (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)&le_q(n0,K)&le_q(K,N)->a_select3(tptp_update3(A,K,K,VAL),I,J)=a_select3(tptp_update3(A,K,K,VAL),J,I)))). % 2.59/2.77 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_madd(A,B),I,J)=a_select3(tptp_madd(A,B),J,I)))). % 2.59/2.77 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_msub(A,B),I,J)=a_select3(tptp_msub(A,B),J,I)))). % 2.59/2.77 all A B N ((all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J)=a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)))). % 2.59/2.77 all A B N M ((all I J (le_q(n0,I)&le_q(I,M)&le_q(n0,J)&le_q(J,M)->a_select3(B,I,J)=a_select3(B,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),I,J)=a_select3(tptp_mmul(A,tptp_mmul(B,trans(A))),J,I)))). % 2.59/2.77 all A B C D E F N M ((all I J (le_q(n0,I)&le_q(I,M)&le_q(n0,J)&le_q(J,M)->a_select3(D,I,J)=a_select3(D,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(A,I,J)=a_select3(A,J,I)))& (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,N)->a_select3(F,I,J)=a_select3(F,J,I)))-> (all I J (le_q(n0,I)&le_q(I,N)&le_q(n0,J)&le_q(J,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)))),I,J)=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)))). % 2.59/2.77 all Body (sum(n0,tptp_minus_1,Body)=n0). % 2.59/2.77 all Body (tptp_float_0_0=sum(n0,tptp_minus_1,Body)). % 2.59/2.77 succ(tptp_minus_1)=n0. % 2.59/2.77 all X (plus(X,n1)=succ(X)). % 2.59/2.77 all X (plus(n1,X)=succ(X)). % 2.59/2.77 all X (plus(X,n2)=succ(succ(X))). % 2.59/2.77 all X (plus(n2,X)=succ(succ(X))). % 2.59/2.77 all X (plus(X,n3)=succ(succ(succ(X)))). % 5.52/5.69 all X (plus(n3,X)=succ(succ(succ(X)))). % 5.52/5.69 all X (plus(X,n4)=succ(succ(succ(succ(X))))). % 5.52/5.69 all X (plus(n4,X)=succ(succ(succ(succ(X))))). % 5.52/5.69 all X (plus(X,n5)=succ(succ(succ(succ(succ(X)))))). % 5.52/5.69 all X (plus(n5,X)=succ(succ(succ(succ(succ(X)))))). % 5.52/5.69 all X (minus(X,n1)=pred(X)). % 5.52/5.69 all X (pred(succ(X))=X). % 5.52/5.69 all X (succ(pred(X))=X). % 5.52/5.69 all X Y (le_q(succ(X),succ(Y))<->le_q(X,Y)). % 5.52/5.69 all X Y (le_q(succ(X),Y)->gt(Y,X)). % 5.52/5.69 all X Y (le_q(minus(X,Y),X)->le_q(n0,Y)). % 5.52/5.69 all X U V VAL (a_select3(tptp_update3(X,U,V,VAL),U,V)=VAL). % 5.52/5.69 all I J U V X VAL VAL2 (I!=U&J=V&a_select3(X,U,V)=VAL->a_select3(tptp_update3(X,I,J,VAL2),U,V)=VAL). % 5.52/5.69 all I J U V X VAL ((all I0 J0 (le_q(n0,I0)&le_q(n0,J0)&le_q(I0,U)&le_q(J0,V)->a_select3(X,I0,J0)=VAL))&le_q(n0,I)&le_q(I,U)&le_q(n0,J)&le_q(J,V)->a_select3(tptp_update3(X,U,V,VAL),I,J)=VAL). % 5.52/5.69 all X U VAL (a_select2(tptp_update2(X,U,VAL),U)=VAL). % 5.52/5.69 all I U X VAL VAL2 (I!=U&a_select2(X,U)=VAL->a_select2(tptp_update2(X,I,VAL2),U)=VAL). % 5.52/5.69 all I U X VAL ((all I0 (le_q(n0,I0)&le_q(I0,U)->a_select2(X,I0)=VAL))&le_q(n0,I)&le_q(I,U)->a_select2(tptp_update2(X,U,VAL),I)=VAL). % 5.52/5.69 true. % 5.52/5.69 def!=use. % 5.52/5.69 -(s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3)& (all A (le_q(n0,A)&le_q(A,n2)-> (all B (le_q(n0,B)&le_q(B,n3)->a_select3(simplex7_init,B,A)=init))))& (all C (le_q(n0,C)&le_q(C,n3)->a_select2(s_values7_init,C)=init))& (all D (le_q(n0,D)&le_q(D,n2)->a_select2(s_center7_init,D)=init))& (all E (le_q(n0,E)&le_q(E,minus(n3,n1))->a_select2(s_try7_init,E)=init))& (gt(loopcounter,n1)->pvar1400_init=init&pvar1401_init=init&pvar1402_init=init)->init=init&s_worst7_init=init&a_select2(s_values7_init,s_worst7)=init& (-gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))->init=init&s_best7_init=init&a_select2(s_values7_init,s_best7)=init& (-ge_q(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))->init=init&s_sworst7_init=init&a_select2(s_values7_init,s_sworst7)=init& (-le_q(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))->init=init& (-gt(loopcounter,n1)-> (all F (le_q(n0,F)&le_q(F,n2)-> (all G (le_q(n0,G)&le_q(G,n3)->a_select3(simplex7_init,G,F)=init))))& (all H (le_q(n0,H)&le_q(H,n3)->a_select2(s_values7_init,H)=init))& (-ge_q(pv1403,tptp_float_0_001)->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3))& (gt(loopcounter,n0)->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3))& (gt(loopcounter,n0)->a_select2(s_values7_init,s_best7)=init&a_select2(s_values7_init,s_sworst7)=init&a_select2(s_values7_init,s_worst7)=init))& (gt(loopcounter,n1)->pvar1400_init=init&pvar1401_init=init&pvar1402_init=init&s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&a_select2(s_values7_init,s_best7)=init&a_select2(s_values7_init,s_sworst7)=init&a_select2(s_values7_init,s_worst7)=init& (all I (le_q(n0,I)&le_q(I,n2)-> (all J (le_q(n0,J)&le_q(J,n3)->a_select3(simplex7_init,J,I)=init))))& (all K (le_q(n0,K)&le_q(K,n3)->a_select2(s_values7_init,K)=init))& (-ge_q(plus(abs(minus(a_select2(s_values7,s_best7),pv1400)),plus(abs(minus(a_select2(s_values7,s_sworst7),pv1401)),abs(minus(a_select2(s_values7,s_worst7),pv1402)))),tptp_float_0_001)->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3))& (gt(loopcounter,n0)->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3))& (gt(loopcounter,n0)->a_select2(s_values7_init,s_best7)=init&a_select2(s_values7_init,s_sworst7)=init&a_select2(s_value % 5.52/5.69 Search stopped in tp_alloc by max_mem option. % 5.52/5.69 s7_init,s_worst7)=init)))& (le_q(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_sworst7))->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&a_select2(s_values7_init,s_worst7)=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3)& (all L (le_q(n0,L)&le_q(L,n2)-> (all M (le_q(n0,M)&le_q(M,n3)->a_select3(simplex7_init,M,L)=init))))& (all N (le_q(n0,N)&le_q(N,n3)->a_select2(s_values7_init,N)=init))& (all O (le_q(n0,O)&le_q(O,n2)->a_select2(s_center7_init,O)=init))& (all P (le_q(n0,P)&le_q(P,minus(n3,n1))->a_select2(s_try7_init,P)=init))& (gt(loopcounter,n1)->pvar1400_init=init&pvar1401_init=init&pvar1402_init=init)))& (ge_q(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_best7))->s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3)& (all Q (le_q(n0,Q)&le_q(Q,n2)-> (all R (le_q(n0,R)&le_q(R,n3)->a_select3(simplex7_init,R,Q)=init))))& (all S (le_q(n0,S)&le_q(S,n3)->a_select2(s_values7_init,S)=init))& (all T (le_q(n0,T)&le_q(T,n2)->a_select2(s_center7_init,T)=init))& (all U (le_q(n0,U)&le_q(U,minus(n3,n1))->a_select2(s_try7_init,U)=init))& (gt(loopcounter,n1)->pvar1400_init=init&pvar1401_init=init&pvar1402_init=init)))& (gt(plus(log(n2),divide(minus(minus(minus(plus(log(n330),log(n410)),log(pv1410)),n1),log(n4)),n2)),a_select2(s_values7,s_worst7))->init=init&s_best7_init=init&s_sworst7_init=init&s_worst7_init=init&le_q(n0,s_best7)&le_q(n0,s_sworst7)&le_q(n0,s_worst7)&le_q(s_best7,n3)&le_q(s_sworst7,n3)&le_q(s_worst7,n3)& (all V (le_q(n0,V)&le_q(V,n2)-> (all W (le_q(n0,W)&le_q(W,n3)->a_select3(simplex7_init,W,V)=init))))& (all X (le_q(n0,X)&le_q(X,n3)->a_select2(tptp_update2(s_values7_init,s_worst7,init),X)=init))& (all Y (le_q(n0,Y)&le_q(Y,n2)->a_select2(s_center7_init,Y)=init))& (all Z (le_q(n0,Z)&le_q(Z,minus(n3,n1))->a_select2(s_try7_init,Z)=init))& (gt(loopcounter,n1)->pvar1400_init=init&pvar1401_init=init&pvar1402_init=init))). % 5.52/5.69 gt(n5,n4). % 5.52/5.69 gt(n330,n4). % 5.52/5.69 gt(n410,n4). % 5.52/5.69 gt(n330,n5). % 5.52/5.69 gt(n410,n5). % 5.52/5.69 gt(n410,n330). % 5.52/5.69 gt(n4,tptp_minus_1). % 5.52/5.69 gt(n5,tptp_minus_1). % 5.52/5.69 gt(n330,tptp_minus_1). % 5.52/5.69 gt(n410,tptp_minus_1). % 5.52/5.69 gt(n0,tptp_minus_1). % 5.52/5.69 gt(n1,tptp_minus_1). % 5.52/5.69 gt(n2,tptp_minus_1). % 5.52/5.69 gt(n3,tptp_minus_1). % 5.52/5.69 gt(n4,n0). % 5.52/5.69 gt(n5,n0). % 5.52/5.69 gt(n330,n0). % 5.52/5.69 gt(n410,n0). % 5.52/5.69 gt(n1,n0). % 5.52/5.69 gt(n2,n0). % 5.52/5.69 gt(n3,n0). % 5.52/5.69 gt(n4,n1). % 5.52/5.69 gt(n5,n1). % 5.52/5.69 gt(n330,n1). % 5.52/5.69 gt(n410,n1). % 5.52/5.69 gt(n2,n1). % 5.52/5.69 gt(n3,n1). % 5.52/5.69 gt(n4,n2). % 5.52/5.69 gt(n5,n2). % 5.52/5.69 gt(n330,n2). % 5.52/5.69 gt(n410,n2). % 5.52/5.69 gt(n3,n2). % 5.52/5.69 gt(n4,n3). % 5.52/5.69 gt(n5,n3). % 5.52/5.69 gt(n330,n3). % 5.52/5.69 gt(n410,n3). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n4)->X=n0|X=n1|X=n2|X=n3|X=n4). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n5)->X=n0|X=n1|X=n2|X=n3|X=n4|X=n5). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n0)->X=n0). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n1)->X=n0|X=n1). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n2)->X=n0|X=n1|X=n2). % 5.52/5.69 all X (le_q(n0,X)&le_q(X,n3)->X=n0|X=n1|X=n2|X=n3). % 5.52/5.69 succ(succ(succ(succ(n0))))=n4. % 5.52/5.69 succ(succ(succ(succ(succ(n0)))))=n5. % 5.52/5.69 succ(n0)=n1. % 5.52/5.69 succ(succ(n0))=n2. % 5.52/5.69 succ(succ(succ(n0)))=n3. % 5.52/5.69 end_of_list. % 5.52/5.69 % 5.52/5.69 Search stopped in tp_alloc by max_mem option. % 5.52/5.69 % 5.52/5.69 ============ end of search ============ % 5.52/5.69 % 5.52/5.69 -------------- statistics ------------- % 5.52/5.69 clauses given 0 % 5.52/5.69 clauses generated 0 % 5.52/5.69 clauses kept 0 % 5.52/5.69 clauses forward subsumed 0 % 5.52/5.69 clauses back subsumed 0 % 5.52/5.69 Kbytes malloced 11718 % 5.52/5.69 % 5.52/5.69 ----------- times (seconds) ----------- % 5.52/5.69 user CPU time 2.91 (0 hr, 0 min, 2 sec) % 5.52/5.69 system CPU time 0.00 (0 hr, 0 min, 0 sec) % 5.52/5.69 wall-clock time 5 (0 hr, 0 min, 5 sec) % 5.52/5.69 % 5.52/5.69 Process 5025 finished Wed Jul 27 06:05:20 2022 % 5.52/5.69 Otter interrupted % 5.52/5.69 PROOF NOT FOUND %------------------------------------------------------------------------------