TSTP Solution File: KRS051+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : KRS051+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.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 13:01:01 EDT 2022
% Result : Timeout 299.91s 300.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS051+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 : 300
% 0.12/0.33 % DateTime : Wed Jul 27 03:34:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.82/2.03 ----- Otter 3.3f, August 2004 -----
% 1.82/2.03 The process was started by sandbox2 on n008.cluster.edu,
% 1.82/2.03 Wed Jul 27 03:34:23 2022
% 1.82/2.03 The command was "./otter". The process ID is 25220.
% 1.82/2.03
% 1.82/2.03 set(prolog_style_variables).
% 1.82/2.03 set(auto).
% 1.82/2.03 dependent: set(auto1).
% 1.82/2.03 dependent: set(process_input).
% 1.82/2.03 dependent: clear(print_kept).
% 1.82/2.03 dependent: clear(print_new_demod).
% 1.82/2.03 dependent: clear(print_back_demod).
% 1.82/2.03 dependent: clear(print_back_sub).
% 1.82/2.03 dependent: set(control_memory).
% 1.82/2.03 dependent: assign(max_mem, 12000).
% 1.82/2.03 dependent: assign(pick_given_ratio, 4).
% 1.82/2.03 dependent: assign(stats_level, 1).
% 1.82/2.03 dependent: assign(max_seconds, 10800).
% 1.82/2.03 clear(print_given).
% 1.82/2.03
% 1.82/2.03 formula_list(usable).
% 1.82/2.03 all A (A=A).
% 1.82/2.03 all A B (A=B&ccardinality_N(A)->ccardinality_N(B)).
% 1.82/2.03 all A B (A=B&ccardinality_N_times_M(A)->ccardinality_N_times_M(B)).
% 1.82/2.03 all A B (A=B&conly_d(A)->conly_d(B)).
% 1.82/2.03 all A B (A=B&cowlNothing(A)->cowlNothing(B)).
% 1.82/2.03 all A B (A=B&cowlThing(A)->cowlThing(B)).
% 1.82/2.03 all A B C (A=B&rinvP_1_to_N(A,C)->rinvP_1_to_N(B,C)).
% 1.82/2.03 all A B C (A=B&rinvP_1_to_N(C,A)->rinvP_1_to_N(C,B)).
% 1.82/2.03 all A B C (A=B&rinvQ_1_to_M(A,C)->rinvQ_1_to_M(B,C)).
% 1.82/2.03 all A B C (A=B&rinvQ_1_to_M(C,A)->rinvQ_1_to_M(C,B)).
% 1.82/2.03 all A B C (A=B&rinvR_N_times_M_to_1(A,C)->rinvR_N_times_M_to_1(B,C)).
% 1.82/2.03 all A B C (A=B&rinvR_N_times_M_to_1(C,A)->rinvR_N_times_M_to_1(C,B)).
% 1.82/2.03 all A B C (A=B&rp_N_to_1(A,C)->rp_N_to_1(B,C)).
% 1.82/2.03 all A B C (A=B&rp_N_to_1(C,A)->rp_N_to_1(C,B)).
% 1.82/2.03 all A B C (A=B&rq_M_to_1(A,C)->rq_M_to_1(B,C)).
% 1.82/2.03 all A B C (A=B&rq_M_to_1(C,A)->rq_M_to_1(C,B)).
% 1.82/2.03 all A B C (A=B&rr_N_times_M_to_1(A,C)->rr_N_times_M_to_1(B,C)).
% 1.82/2.03 all A B C (A=B&rr_N_times_M_to_1(C,A)->rr_N_times_M_to_1(C,B)).
% 1.82/2.03 all A B (A=B&xsd_integer(A)->xsd_integer(B)).
% 1.82/2.03 all A B (A=B&xsd_string(A)->xsd_string(B)).
% 1.82/2.03 all X (cowlThing(X)& -cowlNothing(X)).
% 1.82/2.03 all X (xsd_string(X)<-> -xsd_integer(X)).
% 1.82/2.03 all X (ccardinality_N(X)<-> (exists Y0 Y1 Y2 (rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1)&rinvQ_1_to_M(X,Y2)&Y0!=Y1&Y0!=Y2&Y1!=Y2))& (all Y0 Y1 Y2 Y3 (rinvQ_1_to_M(X,Y0)&rinvQ_1_to_M(X,Y1)&rinvQ_1_to_M(X,Y2)&rinvQ_1_to_M(X,Y3)->Y0=Y1|Y0=Y2|Y0=Y3|Y1=Y2|Y1=Y3|Y2=Y3))).
% 1.82/2.03 all X (ccardinality_N(X)<-> (exists Y (rp_N_to_1(X,Y)&conly_d(Y)))).
% 1.82/2.03 all X (ccardinality_N_times_M(X)<-> (exists Y (rr_N_times_M_to_1(X,Y)&conly_d(Y)))).
% 1.82/2.03 all X (ccardinality_N_times_M(X)<-> (exists Y (rq_M_to_1(X,Y)&ccardinality_N(Y)))).
% 1.82/2.03 all X (conly_d(X)<-> (exists Y0 Y1 Y2 Y3 Y4 Y5 (rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1)&rinvR_N_times_M_to_1(X,Y2)&rinvR_N_times_M_to_1(X,Y3)&rinvR_N_times_M_to_1(X,Y4)&rinvR_N_times_M_to_1(X,Y5)&Y0!=Y1&Y0!=Y2&Y0!=Y3&Y0!=Y4&Y0!=Y5&Y1!=Y2&Y1!=Y3&Y1!=Y4&Y1!=Y5&Y2!=Y3&Y2!=Y4&Y2!=Y5&Y3!=Y4&Y3!=Y5&Y4!=Y5))& (all Y0 Y1 Y2 Y3 Y4 Y5 Y6 (rinvR_N_times_M_to_1(X,Y0)&rinvR_N_times_M_to_1(X,Y1)&rinvR_N_times_M_to_1(X,Y2)&rinvR_N_times_M_to_1(X,Y3)&rinvR_N_times_M_to_1(X,Y4)&rinvR_N_times_M_to_1(X,Y5)&rinvR_N_times_M_to_1(X,Y6)->Y0=Y1|Y0=Y2|Y0=Y3|Y0=Y4|Y0=Y5|Y0=Y6|Y1=Y2|Y1=Y3|Y1=Y4|Y1=Y5|Y1=Y6|Y2=Y3|Y2=Y4|Y2=Y5|Y2=Y6|Y3=Y4|Y3=Y5|Y3=Y6|Y4=Y5|Y4=Y6|Y5=Y6))).
% 1.82/2.03 all X (conly_d(X)<-> (exists Y0 Y1 (rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1)&Y0!=Y1))& (all Y0 Y1 Y2 (rinvP_1_to_N(X,Y0)&rinvP_1_to_N(X,Y1)&rinvP_1_to_N(X,Y2)->Y0=Y1|Y0=Y2|Y1=Y2))).
% 1.82/2.03 all X (conly_d(X)<->X=id).
% 1.82/2.03 all X Y Z (rp_N_to_1(X,Y)&rp_N_to_1(X,Z)->Y=Z).
% 1.82/2.03 all X Y (rp_N_to_1(X,Y)->ccardinality_N(X)).
% 1.82/2.03 all X Y (rp_N_to_1(X,Y)->conly_d(Y)).
% 1.82/2.03 all X Y (rp_N_to_1(X,Y)<->rinvP_1_to_N(Y,X)).
% 1.82/2.03 all X Y Z (rq_M_to_1(X,Y)&rq_M_to_1(X,Z)->Y=Z).
% 1.82/2.03 all X Y (rq_M_to_1(X,Y)->ccardinality_N_times_M(X)).
% 1.82/2.03 all X Y (rq_M_to_1(X,Y)->ccardinality_N(Y)).
% 1.82/2.03 all X Y (rq_M_to_1(X,Y)<->rinvQ_1_to_M(Y,X)).
% 1.82/2.03 all X Y Z (rr_N_times_M_to_1(X,Y)&rr_N_times_M_to_1(X,Z)->Y=Z).
% 1.82/2.03 all X Y (rr_N_times_M_to_1(X,Y)->ccardinality_N_times_M(X)).
% 1.82/2.03 all X Y (rr_N_times_M_to_1(X,Y)->conly_d(Y)).
% 1.82/2.03 all X Y (rr_N_times_M_to_1(X,Y)<->rinvR_N_times_M_to_1(Y,X)).
% 1.82/2.03 cowlThing(id).
% 1.82/2.03 end_of_list.
% 1.82/2.03
% 1.82/2.03 -------> usable clausifies to:
% 1.82/2.03
% 1.82/2.03 list(usable).
% 1.82/2.03 0 [] A=A.
% 1.82/2.03 0 [] A!=B| -ccardinality_N(A)|ccardinality_N(B).
% 1.82/2.03 0 [] A!=B| -ccardinality_N_times_M(A)|ccardinality_N_times_M(B).
% 1.82/2.03 0 [] A!=B| -conly_d(A)|conly_d(B).
% 1.82/2.03 0 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 1.82/2.03 0 [] A!=B| -cowlThing(A)|cowlThing(B).
% 1.82/2.03 0 [] A!=B| -rinvP_1_to_N(A,C)|rinvP_1_to_N(B,C).
% 1.82/2.03 0 [] A!=B| -rinvP_1_to_N(C,A)|rinvP_1_to_N(C,B).
% 1.82/2.03 0 [] A!=B| -rinvQ_1_to_M(A,C)|rinvQ_1_to_M(B,C).
% 1.82/2.03 0 [] A!=B| -rinvQ_1_to_M(C,A)|rinvQ_1_to_M(C,B).
% 1.82/2.03 0 [] A!=B| -rinvR_N_times_M_to_1(A,C)|rinvR_N_times_M_to_1(B,C).
% 1.82/2.03 0 [] A!=B| -rinvR_N_times_M_to_1(C,A)|rinvR_N_times_M_to_1(C,B).
% 1.82/2.03 0 [] A!=B| -rp_N_to_1(A,C)|rp_N_to_1(B,C).
% 1.82/2.03 0 [] A!=B| -rp_N_to_1(C,A)|rp_N_to_1(C,B).
% 1.82/2.03 0 [] A!=B| -rq_M_to_1(A,C)|rq_M_to_1(B,C).
% 1.82/2.03 0 [] A!=B| -rq_M_to_1(C,A)|rq_M_to_1(C,B).
% 1.82/2.03 0 [] A!=B| -rr_N_times_M_to_1(A,C)|rr_N_times_M_to_1(B,C).
% 1.82/2.03 0 [] A!=B| -rr_N_times_M_to_1(C,A)|rr_N_times_M_to_1(C,B).
% 1.82/2.03 0 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 1.82/2.03 0 [] A!=B| -xsd_string(A)|xsd_string(B).
% 1.82/2.03 0 [] cowlThing(X).
% 1.82/2.03 0 [] -cowlNothing(X).
% 1.82/2.03 0 [] -xsd_string(X)| -xsd_integer(X).
% 1.82/2.03 0 [] xsd_string(X)|xsd_integer(X).
% 1.82/2.03 0 [] -ccardinality_N(X)|rinvQ_1_to_M(X,$f3(X)).
% 1.82/2.03 0 [] -ccardinality_N(X)|rinvQ_1_to_M(X,$f2(X)).
% 1.82/2.03 0 [] -ccardinality_N(X)|rinvQ_1_to_M(X,$f1(X)).
% 1.82/2.03 0 [] -ccardinality_N(X)|$f3(X)!=$f2(X).
% 1.82/2.03 0 [] -ccardinality_N(X)|$f3(X)!=$f1(X).
% 1.82/2.03 0 [] -ccardinality_N(X)|$f2(X)!=$f1(X).
% 1.82/2.03 0 [] -ccardinality_N(X)| -rinvQ_1_to_M(X,Y0)| -rinvQ_1_to_M(X,Y1)| -rinvQ_1_to_M(X,Y2)| -rinvQ_1_to_M(X,Y3)|Y0=Y1|Y0=Y2|Y0=Y3|Y1=Y2|Y1=Y3|Y2=Y3.
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|rinvQ_1_to_M(X,$f7(X)).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|rinvQ_1_to_M(X,$f6(X)).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|rinvQ_1_to_M(X,$f5(X)).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|rinvQ_1_to_M(X,$f4(X)).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f7(X)!=$f6(X).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f7(X)!=$f5(X).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f7(X)!=$f4(X).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f6(X)!=$f5(X).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f6(X)!=$f4(X).
% 1.82/2.03 0 [] ccardinality_N(X)| -rinvQ_1_to_M(X,X1)| -rinvQ_1_to_M(X,X2)| -rinvQ_1_to_M(X,X3)|X1=X2|X1=X3|X2=X3|$f5(X)!=$f4(X).
% 1.82/2.03 0 [] -ccardinality_N(X)|rp_N_to_1(X,$f8(X)).
% 1.82/2.03 0 [] -ccardinality_N(X)|conly_d($f8(X)).
% 1.82/2.03 0 [] ccardinality_N(X)| -rp_N_to_1(X,Y)| -conly_d(Y).
% 1.82/2.03 0 [] -ccardinality_N_times_M(X)|rr_N_times_M_to_1(X,$f9(X)).
% 1.82/2.03 0 [] -ccardinality_N_times_M(X)|conly_d($f9(X)).
% 1.82/2.03 0 [] ccardinality_N_times_M(X)| -rr_N_times_M_to_1(X,Y)| -conly_d(Y).
% 1.82/2.03 0 [] -ccardinality_N_times_M(X)|rq_M_to_1(X,$f10(X)).
% 1.82/2.03 0 [] -ccardinality_N_times_M(X)|ccardinality_N($f10(X)).
% 1.82/2.03 0 [] ccardinality_N_times_M(X)| -rq_M_to_1(X,Y)| -ccardinality_N(Y).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f16(X)).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f15(X)).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f14(X)).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f13(X)).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f12(X)).
% 1.82/2.03 0 [] -conly_d(X)|rinvR_N_times_M_to_1(X,$f11(X)).
% 1.82/2.03 0 [] -conly_d(X)|$f16(X)!=$f15(X).
% 1.82/2.03 0 [] -conly_d(X)|$f16(X)!=$f14(X).
% 1.82/2.03 0 [] -conly_d(X)|$f16(X)!=$f13(X).
% 1.82/2.03 0 [] -conly_d(X)|$f16(X)!=$f12(X).
% 1.82/2.03 0 [] -conly_d(X)|$f16(X)!=$f11(X).
% 1.82/2.03 0 [] -conly_d(X)|$f15(X)!=$f14(X).
% 1.82/2.03 0 [] -conly_d(X)|$f15(X)!=$f13(X).
% 1.82/2.03 0 [] -conly_d(X)|$f15(X)!=$f12(X).
% 1.82/2.03 0 [] -conly_d(X)|$f15(X)!=$f11(X).
% 1.82/2.03 0 [] -conly_d(X)|$f14(X)!=$f13(X).
% 1.82/2.03 0 [] -conly_d(X)|$f14(X)!=$f12(X).
% 1.82/2.03 0 [] -conly_d(X)|$f14(X)!=$f11(X).
% 1.82/2.03 0 [] -conly_d(X)|$f13(X)!=$f12(X).
% 1.82/2.03 0 [] -conly_d(X)|$f13(X)!=$f11(X).
% 1.82/2.03 0 [] -conly_d(X)|$f12(X)!=$f11(X).
% 1.82/2.03 0 [] -conly_d(X)| -rinvR_N_times_M_to_1(X,Y0)| -rinvR_N_times_M_to_1(X,Y1)| -rinvR_N_times_M_to_1(X,Y2)| -rinvR_N_times_M_to_1(X,Y3)| -rinvR_N_times_M_to_1(X,Y4)| -rinvR_N_times_M_to_1(X,Y5)| -rinvR_N_times_M_to_1(X,Y6)|Y0=Y1|Y0=Y2|Y0=Y3|Y0=Y4|Y0=Y5|Y0=Y6|Y1=Y2|Y1=Y3|Y1=Y4|Y1=Y5|Y1=Y6|Y2=Y3|Y2=Y4|Y2=Y5|Y2=Y6|Y3=Y4|Y3=Y5|Y3=Y6|Y4=Y5|Y4=Y6|Y5=Y6.
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f23(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f22(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f21(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f20(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f19(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f18(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|rinvR_N_times_M_to_1(X,$f17(X)).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f22(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f21(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f20(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f19(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f18(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f23(X)!=$f17(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f22(X)!=$f21(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f22(X)!=$f20(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f22(X)!=$f19(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f22(X)!=$f18(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f22(X)!=$f17(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f21(X)!=$f20(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f21(X)!=$f19(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f21(X)!=$f18(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f21(X)!=$f17(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f20(X)!=$f19(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f20(X)!=$f18(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f20(X)!=$f17(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f19(X)!=$f18(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f19(X)!=$f17(X).
% 1.82/2.03 0 [] conly_d(X)| -rinvR_N_times_M_to_1(X,X4)| -rinvR_N_times_M_to_1(X,X5)| -rinvR_N_times_M_to_1(X,X6)| -rinvR_N_times_M_to_1(X,X7)| -rinvR_N_times_M_to_1(X,X8)| -rinvR_N_times_M_to_1(X,X9)|X4=X5|X4=X6|X4=X7|X4=X8|X4=X9|X5=X6|X5=X7|X5=X8|X5=X9|X6=X7|X6=X8|X6=X9|X7=X8|X7=X9|X8=X9|$f18(X)!=$f17(X).
% 17.26/17.47 0 [] -conly_d(X)|rinvP_1_to_N(X,$f25(X)).
% 17.26/17.47 0 [] -conly_d(X)|rinvP_1_to_N(X,$f24(X)).
% 17.26/17.47 0 [] -conly_d(X)|$f25(X)!=$f24(X).
% 17.26/17.47 0 [] -conly_d(X)| -rinvP_1_to_N(X,Y0)| -rinvP_1_to_N(X,Y1)| -rinvP_1_to_N(X,Y2)|Y0=Y1|Y0=Y2|Y1=Y2.
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|rinvP_1_to_N(X,$f28(X)).
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|rinvP_1_to_N(X,$f27(X)).
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|rinvP_1_to_N(X,$f26(X)).
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|$f28(X)!=$f27(X).
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|$f28(X)!=$f26(X).
% 17.26/17.47 0 [] conly_d(X)| -rinvP_1_to_N(X,X10)| -rinvP_1_to_N(X,X11)|X10=X11|$f27(X)!=$f26(X).
% 17.26/17.47 0 [] -conly_d(X)|X=id.
% 17.26/17.47 0 [] conly_d(X)|X!=id.
% 17.26/17.47 0 [] -rp_N_to_1(X,Y)| -rp_N_to_1(X,Z)|Y=Z.
% 17.26/17.47 0 [] -rp_N_to_1(X,Y)|ccardinality_N(X).
% 17.26/17.47 0 [] -rp_N_to_1(X,Y)|conly_d(Y).
% 17.26/17.47 0 [] -rp_N_to_1(X,Y)|rinvP_1_to_N(Y,X).
% 17.26/17.47 0 [] rp_N_to_1(X,Y)| -rinvP_1_to_N(Y,X).
% 17.26/17.47 0 [] -rq_M_to_1(X,Y)| -rq_M_to_1(X,Z)|Y=Z.
% 17.26/17.47 0 [] -rq_M_to_1(X,Y)|ccardinality_N_times_M(X).
% 17.26/17.47 0 [] -rq_M_to_1(X,Y)|ccardinality_N(Y).
% 17.26/17.47 0 [] -rq_M_to_1(X,Y)|rinvQ_1_to_M(Y,X).
% 17.26/17.47 0 [] rq_M_to_1(X,Y)| -rinvQ_1_to_M(Y,X).
% 17.26/17.47 0 [] -rr_N_times_M_to_1(X,Y)| -rr_N_times_M_to_1(X,Z)|Y=Z.
% 17.26/17.47 0 [] -rr_N_times_M_to_1(X,Y)|ccardinality_N_times_M(X).
% 17.26/17.47 0 [] -rr_N_times_M_to_1(X,Y)|conly_d(Y).
% 17.26/17.47 0 [] -rr_N_times_M_to_1(X,Y)|rinvR_N_times_M_to_1(Y,X).
% 17.26/17.47 0 [] rr_N_times_M_to_1(X,Y)| -rinvR_N_times_M_to_1(Y,X).
% 17.26/17.47 0 [] cowlThing(id).
% 17.26/17.47 end_of_list.
% 17.26/17.47
% 17.26/17.47 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=29.
% 17.26/17.47
% 17.26/17.47 This ia a non-Horn set with equality. The strategy will be
% 17.26/17.47 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 17.26/17.47 deletion, with positive clauses in sos and nonpositive
% 17.26/17.47 clauses in usable.
% 17.26/17.47
% 17.26/17.47 dependent: set(knuth_bendix).
% 17.26/17.47 dependent: set(anl_eq).
% 17.26/17.47 dependent: set(para_from).
% 17.26/17.47 dependent: set(para_into).
% 17.26/17.47 dependent: clear(para_from_right).
% 17.26/17.47 dependent: clear(para_into_right).
% 17.26/17.47 dependent: set(para_from_vars).
% 17.26/17.47 dependent: set(eq_units_both_ways).
% 17.26/17.47 dependent: set(dynamic_demod_all).
% 17.26/17.47 dependent: set(dynamic_demod).
% 17.26/17.47 dependent: set(order_eq).
% 17.26/17.47 dependent: set(back_demod).
% 17.26/17.47 dependent: set(lrpo).
% 17.26/17.47 dependent: set(hyper_res).
% 17.26/17.47 dependent: set(unit_deletion).
% 17.26/17.47 dependent: set(factor).
% 17.26/17.47
% 17.26/17.47 ------------> process usable:
% 17.26/17.47 ** KEPT (pick-wt=7): 1 [] A!=B| -ccardinality_N(A)|ccardinality_N(B).
% 17.26/17.47 ** KEPT (pick-wt=7): 2 [] A!=B| -ccardinality_N_times_M(A)|ccardinality_N_times_M(B).
% 17.26/17.47 ** KEPT (pick-wt=7): 3 [] A!=B| -conly_d(A)|conly_d(B).
% 17.26/17.47 ** KEPT (pick-wt=7): 4 [] A!=B| -cowlNothing(A)|cowlNothing(B).
% 17.26/17.47 ** KEPT (pick-wt=7): 5 [] A!=B| -cowlThing(A)|cowlThing(B).
% 17.26/17.47 ** KEPT (pick-wt=9): 6 [] A!=B| -rinvP_1_to_N(A,C)|rinvP_1_to_N(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 7 [] A!=B| -rinvP_1_to_N(C,A)|rinvP_1_to_N(C,B).
% 17.26/17.47 ** KEPT (pick-wt=9): 8 [] A!=B| -rinvQ_1_to_M(A,C)|rinvQ_1_to_M(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 9 [] A!=B| -rinvQ_1_to_M(C,A)|rinvQ_1_to_M(C,B).
% 17.26/17.47 ** KEPT (pick-wt=9): 10 [] A!=B| -rinvR_N_times_M_to_1(A,C)|rinvR_N_times_M_to_1(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 11 [] A!=B| -rinvR_N_times_M_to_1(C,A)|rinvR_N_times_M_to_1(C,B).
% 17.26/17.47 ** KEPT (pick-wt=9): 12 [] A!=B| -rp_N_to_1(A,C)|rp_N_to_1(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 13 [] A!=B| -rp_N_to_1(C,A)|rp_N_to_1(C,B).
% 17.26/17.47 ** KEPT (pick-wt=9): 14 [] A!=B| -rq_M_to_1(A,C)|rq_M_to_1(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 15 [] A!=B| -rq_M_to_1(C,A)|rq_M_to_1(C,B).
% 17.26/17.47 ** KEPT (pick-wt=9): 16 [] A!=B| -rr_N_times_M_to_1(A,C)|rr_N_times_M_to_1(B,C).
% 17.26/17.47 ** KEPT (pick-wt=9): 17 [] A!=B| -rr_N_times_M_to_1(C,A)|rr_N_times_M_to_1(C,B).
% 17.26/17.47 ** KEPT (pick-wt=7): 18 [] A!=B| -xsd_integer(A)|xsd_integer(B).
% 17.26/17.47 ** KEPT (pick-wt=7): 19 [] A!=B| -xsd_string(A)|xsd_string(B).
% 17.26/17.47 ** KEPT (pick-wt=2): 20 [] -cowlNothing(A).
% 17.26/17.47 ** KEPT (pick-wt=4): 21 [] -xsd_string(A)| -xsd_integer(A).
% 17.26/17.47 ** KEPT (pick-wt=6): 22 [] -ccardinality_N(A)|rinvQ_1_to_M(A,$f3(A)).
% 17.26/17.47 ** KEPT (pick-wt=6): 23 [] -ccardinality_N(A)|rinvQ_1_to_M(A,$f2(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 24 [] -ccardinality_N(A)|rinvQ_1_to_M(A,$f1(A)).
% 27.07/27.31 ** KEPT (pick-wt=7): 25 [] -ccardinality_N(A)|$f3(A)!=$f2(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 26 [] -ccardinality_N(A)|$f3(A)!=$f1(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 27 [] -ccardinality_N(A)|$f2(A)!=$f1(A).
% 27.07/27.31 ** KEPT (pick-wt=32): 28 [] -ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)| -rinvQ_1_to_M(A,E)|B=C|B=D|B=E|C=D|C=E|D=E.
% 27.07/27.31 ** KEPT (pick-wt=24): 29 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|rinvQ_1_to_M(A,$f7(A)).
% 27.07/27.31 ** KEPT (pick-wt=24): 30 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|rinvQ_1_to_M(A,$f6(A)).
% 27.07/27.31 ** KEPT (pick-wt=24): 31 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|rinvQ_1_to_M(A,$f5(A)).
% 27.07/27.31 ** KEPT (pick-wt=24): 32 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|rinvQ_1_to_M(A,$f4(A)).
% 27.07/27.31 ** KEPT (pick-wt=25): 33 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f7(A)!=$f6(A).
% 27.07/27.31 ** KEPT (pick-wt=25): 34 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f7(A)!=$f5(A).
% 27.07/27.31 ** KEPT (pick-wt=25): 35 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f7(A)!=$f4(A).
% 27.07/27.31 ** KEPT (pick-wt=25): 36 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f6(A)!=$f5(A).
% 27.07/27.31 ** KEPT (pick-wt=25): 37 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f6(A)!=$f4(A).
% 27.07/27.31 ** KEPT (pick-wt=25): 38 [] ccardinality_N(A)| -rinvQ_1_to_M(A,B)| -rinvQ_1_to_M(A,C)| -rinvQ_1_to_M(A,D)|B=C|B=D|C=D|$f5(A)!=$f4(A).
% 27.07/27.31 ** KEPT (pick-wt=6): 39 [] -ccardinality_N(A)|rp_N_to_1(A,$f8(A)).
% 27.07/27.31 ** KEPT (pick-wt=5): 40 [] -ccardinality_N(A)|conly_d($f8(A)).
% 27.07/27.31 ** KEPT (pick-wt=7): 41 [] ccardinality_N(A)| -rp_N_to_1(A,B)| -conly_d(B).
% 27.07/27.31 ** KEPT (pick-wt=6): 42 [] -ccardinality_N_times_M(A)|rr_N_times_M_to_1(A,$f9(A)).
% 27.07/27.31 ** KEPT (pick-wt=5): 43 [] -ccardinality_N_times_M(A)|conly_d($f9(A)).
% 27.07/27.31 ** KEPT (pick-wt=7): 44 [] ccardinality_N_times_M(A)| -rr_N_times_M_to_1(A,B)| -conly_d(B).
% 27.07/27.31 ** KEPT (pick-wt=6): 45 [] -ccardinality_N_times_M(A)|rq_M_to_1(A,$f10(A)).
% 27.07/27.31 ** KEPT (pick-wt=5): 46 [] -ccardinality_N_times_M(A)|ccardinality_N($f10(A)).
% 27.07/27.31 ** KEPT (pick-wt=7): 47 [] ccardinality_N_times_M(A)| -rq_M_to_1(A,B)| -ccardinality_N(B).
% 27.07/27.31 ** KEPT (pick-wt=6): 48 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f16(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 49 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f15(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 50 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f14(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 51 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f13(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 52 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f12(A)).
% 27.07/27.31 ** KEPT (pick-wt=6): 53 [] -conly_d(A)|rinvR_N_times_M_to_1(A,$f11(A)).
% 27.07/27.31 ** KEPT (pick-wt=7): 54 [] -conly_d(A)|$f16(A)!=$f15(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 55 [] -conly_d(A)|$f16(A)!=$f14(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 56 [] -conly_d(A)|$f16(A)!=$f13(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 57 [] -conly_d(A)|$f16(A)!=$f12(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 58 [] -conly_d(A)|$f16(A)!=$f11(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 59 [] -conly_d(A)|$f15(A)!=$f14(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 60 [] -conly_d(A)|$f15(A)!=$f13(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 61 [] -conly_d(A)|$f15(A)!=$f12(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 62 [] -conly_d(A)|$f15(A)!=$f11(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 63 [] -conly_d(A)|$f14(A)!=$f13(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 64 [] -conly_d(A)|$f14(A)!=$f12(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 65 [] -conly_d(A)|$f14(A)!=$f11(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 66 [] -conly_d(A)|$f13(A)!=$f12(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 67 [] -conly_d(A)|$f13(A)!=$f11(A).
% 27.07/27.31 ** KEPT (pick-wt=7): 68 [] -conly_d(A)|$f12(A)!=$f11(A).
% 27.07/27.31 ** KEPT (pick-wt=86): 69 [] -conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)| -rinvR_N_times_M_to_1(A,H)|B=C|B=D|B=E|B=F|B=G|B=H|C=D|C=E|C=F|C=G|C=H|D=E|D=F|D=G|D=H|E=F|E=G|E=H|F=G|F=H|G=H.
% 44.75/44.96 ** KEPT (pick-wt=69): 70 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f23(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 71 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f22(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 72 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f21(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 73 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f20(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 74 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f19(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 75 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f18(A)).
% 44.75/44.96 ** KEPT (pick-wt=69): 76 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|rinvR_N_times_M_to_1(A,$f17(A)).
% 44.75/44.96 ** KEPT (pick-wt=70): 77 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f22(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 78 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f21(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 79 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f20(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 80 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f19(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 81 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f18(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 82 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f23(A)!=$f17(A).
% 44.75/44.96 ** KEPT (pick-wt=70): 83 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f22(A)!=$f21(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 84 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f22(A)!=$f20(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 85 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f22(A)!=$f19(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 86 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f22(A)!=$f18(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 87 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f22(A)!=$f17(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 88 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f21(A)!=$f20(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 89 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f21(A)!=$f19(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 90 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f21(A)!=$f18(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 91 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f21(A)!=$f17(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 92 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f20(A)!=$f19(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 93 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f20(A)!=$f18(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 94 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f20(A)!=$f17(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 95 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f19(A)!=$f18(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 96 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f19(A)!=$f17(A).
% 76.44/76.60 ** KEPT (pick-wt=70): 97 [] conly_d(A)| -rinvR_N_times_M_to_1(A,B)| -rinvR_N_times_M_to_1(A,C)| -rinvR_N_times_M_to_1(A,D)| -rinvR_N_times_M_to_1(A,E)| -rinvR_N_times_M_to_1(A,F)| -rinvR_N_times_M_to_1(A,G)|B=C|B=D|B=E|B=F|B=G|C=D|C=E|C=F|C=G|D=E|D=F|D=G|E=F|E=G|F=G|$f18(A)!=$f17(A).
% 76.44/76.60 ** KEPT (pick-wt=6): 98 [] -conly_d(A)|rinvP_1_to_N(A,$f25(A)).
% 76.44/76.60 ** KAlarm clock
% 299.91/300.05 Otter interrupted
% 299.91/300.05 PROOF NOT FOUND
%------------------------------------------------------------------------------