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 0.09/0.31 % Computer : n027.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1200 0.09/0.31 % DateTime : Tue Jul 13 12:21:10 EDT 2021 0.09/0.31 % CPUTime : 16.61/16.95 ============================== Prover9 =============================== 16.61/16.95 Prover9 (32) version 2009-11A, November 2009. 16.61/16.95 Process 29751 was started by sandbox on n027.cluster.edu, 16.61/16.95 Tue Jul 13 12:21:12 2021 16.61/16.95 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_29598_n027.cluster.edu". 16.61/16.95 ============================== end of head =========================== 16.61/16.95 16.61/16.95 ============================== INPUT ================================= 16.61/16.95 16.61/16.95 % Reading from file /tmp/Prover9_29598_n027.cluster.edu 16.61/16.95 16.61/16.95 set(prolog_style_variables). 16.61/16.95 set(auto2). 16.61/16.95 % set(auto2) -> set(auto). 16.61/16.95 % set(auto) -> set(auto_inference). 16.61/16.95 % set(auto) -> set(auto_setup). 16.61/16.95 % set(auto_setup) -> set(predicate_elim). 16.61/16.95 % set(auto_setup) -> assign(eq_defs, unfold). 16.61/16.95 % set(auto) -> set(auto_limits). 16.61/16.95 % set(auto_limits) -> assign(max_weight, "100.000"). 16.61/16.95 % set(auto_limits) -> assign(sos_limit, 20000). 16.61/16.95 % set(auto) -> set(auto_denials). 16.61/16.95 % set(auto) -> set(auto_process). 16.61/16.95 % set(auto2) -> assign(new_constants, 1). 16.61/16.95 % set(auto2) -> assign(fold_denial_max, 3). 16.61/16.95 % set(auto2) -> assign(max_weight, "200.000"). 16.61/16.95 % set(auto2) -> assign(max_hours, 1). 16.61/16.95 % assign(max_hours, 1) -> assign(max_seconds, 3600). 16.61/16.95 % set(auto2) -> assign(max_seconds, 0). 16.61/16.95 % set(auto2) -> assign(max_minutes, 5). 16.61/16.95 % assign(max_minutes, 5) -> assign(max_seconds, 300). 16.61/16.95 % set(auto2) -> set(sort_initial_sos). 16.61/16.95 % set(auto2) -> assign(sos_limit, -1). 16.61/16.95 % set(auto2) -> assign(lrs_ticks, 3000). 16.61/16.95 % set(auto2) -> assign(max_megs, 400). 16.61/16.95 % set(auto2) -> assign(stats, some). 16.61/16.95 % set(auto2) -> clear(echo_input). 16.61/16.95 % set(auto2) -> set(quiet). 16.61/16.95 % set(auto2) -> clear(print_initial_clauses). 16.61/16.95 % set(auto2) -> clear(print_given). 16.61/16.95 assign(lrs_ticks,-1). 16.61/16.95 assign(sos_limit,10000). 16.61/16.95 assign(order,kbo). 16.61/16.95 set(lex_order_vars). 16.61/16.95 clear(print_given). 16.61/16.95 16.61/16.95 % formulas(sos). % not echoed (1 formulas) 16.61/16.95 16.61/16.95 ============================== end of input ========================== 16.61/16.95 16.61/16.95 % From the command line: assign(max_seconds, 1200). 16.61/16.95 16.61/16.95 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 16.61/16.95 16.61/16.95 % Formulas that are not ordinary clauses: 16.61/16.95 1 --(exists X -(-(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-(-p1(X) & -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | p1(X)))))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-((all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))) & -(all Y ((all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))) | -r1(X,Y)))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(-(all Y ((all X (-r1(Y,X) | p1(X))) | -r1(X,Y))) & (all Y (-r1(X,Y) | p1(Y)))) | -r1(Y,X))))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | -(all Y -r1(X,Y)))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-(-(all X ((all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) & (all X (-r1(Y,X) | p1(X)))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-(all X -r1(Y,X)) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | -(-p1(X) & -(all Y (-r1(X,Y) | -(all X (p1(X) | -r1(Y,X)))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-(p1(X) & -(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X)))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -((all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y))) & -(all Y ((all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y))))) | -r1(X,Y)))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (p1(Y) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-(-(all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X))) & p1(Y)) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p1(Y))))) & (all X (p1(X) | -r1(Y,X)))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(all X -r1(Y,X)))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))))))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-(-p1(X) & -(all Y (-(all X (p1(X) | -r1(Y,X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-(p1(X) & -(all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))))) & (all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y)))))))) | -r1(Y,X))))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X))))) & (all Y (-r1(X,Y) | p1(Y)))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))))))))))))) | -r1(X,Y))))))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(all Y (p1(Y) | -r1(X,Y))) | p1(X) | -r1(Y,X))))))) | -r1(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X ((all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) & (all X (-r1(Y,X) | p1(X)))))))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -(all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | p1(X))))) & -p1(X)))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(-(all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X))))) & p1(X)) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-(all Y -r1(X,Y)) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (p1(X) | -(all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-((all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) & -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X)))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -(all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(all X -r1(Y,X)))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -((all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))) & -(all Y ((all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y)))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))))))))))))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X))))) & (all Y (p1(Y) | -r1(X,Y)))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(-p1(Y) & -(all X (-(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X)))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-(p1(Y) & -(all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X)))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -(all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -((all X (p1(X) | -r1(Y,X))) & -(all X (-r1(Y,X) | (all Y (p1(Y) | -r1(X,Y)))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-(all X -r1(Y,X)) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | -(-(all Y ((all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))) | -r1(X,Y))) & (all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -((all Y (-r1(X,Y) | p1(Y))) & -(all Y ((all X (-r1(Y,X) | p1(X))) | -r1(X,Y)))))))) | -r1(Y,X))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(all Y -r1(X,Y)) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))))) & (all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X)))))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))))))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-(all X -r1(Y,X)) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-(p1(X) & -(all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-(all Y -r1(X,Y)) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))) & p1(Y)))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -((all X (-r1(Y,X) | p1(X))) & -(all X ((all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X)))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-(all X -r1(Y,X)) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-p1(X) & -(all Y (-(all X (p1(X) | -r1(Y,X))) | -r1(X,Y)))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -(p1(X) & -(all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y)))))) | -r1(X,Y))))))))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(-(all Y ((all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) & (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X)))))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (p1(X) | -r1(Y,X))))) & (all Y (-r1(X,Y) | p1(Y)))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(all Y -r1(X,Y)) | -r1(Y,X))))))))) | -r1(Y,X))))) | -(all Y ((all X ((all Y ((all X ((all Y (-(all X -r1(Y,X)) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-(-(all Y (-(all X (p1(X) | -r1(Y,X))) | -r1(X,Y))) & -p1(X)) | -r1(Y,X))))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(p1(X) & -(all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X)))))))))) | -r1(Y,X))))) | -(all Y ((all X ((all Y ((all X (-((all Y (p1(Y) | -r1(X,Y))) & -(all Y ((all X (-r1(Y,X) | p1(X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-(all Y -r1(X,Y)) | -r1(Y,X))))))) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-(all Y (-r1(X,Y) | p1(Y))) | p1(X) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-(p1(Y) & -(all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X)))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -((all X (-r1(Y,X) | p1(X))) & -(all X ((all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X)))))) | -r1(Y,X))))) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | p1(X) | -(all Y (p1(Y) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-(-(all Y (-r1(X,Y) | (all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X))))) & (all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-(-(all Y ((all X (-r1(Y,X) | p1(X))) | -r1(X,Y))) & (all Y (p1(Y) | -r1(X,Y)))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | -(all Y -r1(X,Y)))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | -(-(all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) & p1(Y)))) | -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))))) & (all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))))) | -(all Y (-r1(X,Y) | -((all X (-r1(Y,X) | p1(X))) & -(all X ((all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X)))))) | -(all Y (-(all X -r1(Y,X)) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-(all Y (-r1(X,Y) | p1(Y))) | p1(X) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))))))) | -r1(Y,X))))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) & -p1(Y)))) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-(-(all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y))) & p1(X)) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-(-p1(X) & -(all Y (-(all X (-r1(Y,X) | p1(X))) | -r1(X,Y)))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | -(all X -r1(Y,X)))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-((all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))) & -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X)))))))) | -r1(X,Y))))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(-(all X (-(all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) & -p1(Y)))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | -((all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X))))) & -(all Y (-r1(X,Y) | (all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X)))))))) | -r1(X,Y))) | -r1(Y,X))))) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (p1(Y) | -r1(X,Y))))))))))))))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | -((all X (-r1(Y,X) | p1(X))) & -(all X (-r1(Y,X) | (all Y (p1(Y) | -r1(X,Y)))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))))) & (all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X)))))) | -r1(Y,X))))))))) | -(all Y ((all X ((all Y ((all X ((all Y (-(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y))))) & p1(Y)) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-(-(all X (-(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X))) & -p1(Y)) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-(all Y (p1(Y) | -r1(X,Y))) | p1(X) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))))) | -r1(X,Y))))))) | -r1(Y,X))))) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-((all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) & -(all X (-r1(Y,X) | (all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-(-p1(Y) & -(all X (-r1(Y,X) | -(all Y (p1(Y) | -r1(X,Y)))))) | -r1(X,Y))) | -r1(Y,X))))))))))))) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (p1(Y) | -r1(X,Y))))))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -((all Y (p1(Y) | -r1(X,Y))) & -(all Y ((all X (p1(X) | -r1(Y,X))) | -r1(X,Y)))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | -(-(all Y ((all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y))))) | -r1(X,Y))) & (all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X)))))))) | -r1(X,Y))) | -r1(Y,X))))))))))))) | -(all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-p1(X) & -(all Y (-(all X (-r1(Y,X) | p1(X))) | -r1(X,Y)))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -((all X (p1(X) | -r1(Y,X))) & -(all X (-r1(Y,X) | (all Y (p1(Y) | -r1(X,Y)))))))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(p1(Y) & -(all X (-(all Y (-r1(X,Y) | -p1(Y))) | -r1(Y,X)))))))))) | -r1(Y,X))))))))))))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-(-p1(Y) & -(all X (-(all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X)))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -(p1(X) & -(all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y)))))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-(-(all Y (-r1(X,Y) | -(all X (p1(X) | -r1(Y,X))))) & -p1(X)) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (p1(X) | -(all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-((all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y))))) & -(all X (-r1(Y,X) | (all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y)))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y -r1(X,Y)))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-(-(all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p1(X))))) & p1(X)) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | -(-p1(X) & -(all Y (-(all X (p1(X) | -r1(Y,X))) | -r1(X,Y)))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))))) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (p1(X) | -(all Y (p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))) | -r1(Y,X))))))))))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -(-(all X ((all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X))) & (all X (-r1(Y,X) | p1(X)))))))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-(p1(Y) & -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))) | -r1(X,Y))))))))))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-(-(all X (-(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X))) & -p1(Y)) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -((all Y (p1(Y) | -r1(X,Y))) & -(all Y ((all X (p1(X) | -r1(Y,X))) | -r1(X,Y)))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-((all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y))) & -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y)))))))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-(all Y (p1(Y) | -r1(X,Y))) | p1(X) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | -(all X -r1(Y,X)))) | -r1(Y,X))))))))))) | -r1(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-(-(all X (-r1(Y,X) | (all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y))))) & (all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y)))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))))))))))) | -(all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-(p1(Y) & -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-(-(all X (-(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X))) & -p1(Y)) | -r1(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(all Y -r1(X,Y)))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))))))))) | -r1(X,Y))) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (p1(X) | -(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | -((all X (-r1(Y,X) | -(all Y (-p1(Y) | -r1(X,Y))))) & -(all X ((all Y (-(all X (-p1(X) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X)))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | -(all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y (-(-p1(Y) & -(all X (-(all Y (-r1(X,Y) | p1(Y))) | -r1(Y,X)))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-(all Y -r1(X,Y)) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -(all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X))))) & (all Y (p1(Y) | -r1(X,Y)))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | (all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p1(X) | -(all Y (-r1(X,Y) | p1(Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y (-r1(X,Y) | -(-(all X ((all Y (-(all X (-r1(Y,X) | -p1(X))) | -r1(X,Y))) | -r1(Y,X))) & (all X (-(all Y (-p1(Y) | -r1(X,Y))) | -r1(Y,X)))))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))))))))))) | -(all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-(p1(Y) & -(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p1(Y)))))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X (-r1(Y,X) | (all Y (-(-(all X (-r1(Y,X) | -(all Y (-r1(X,Y) | p1(Y))))) & -p1(Y)) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | (all Y ((all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | -(all Y (p1(Y) | -r1(X,Y))) | p1(X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))) | -(all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | -(-(all Y (-r1(X,Y) | -(all X (-p1(X) | -r1(Y,X))))) & p1(X)))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 16.61/16.95 16.61/16.95 ============================== end of process non-clausal formulas === 16.61/16.95 16.61/16.95 ============================== PROCESS INITIAL CLAUSES =============== 16.61/16.95 16.61/16.95 ============================== PREDICATE ELIMINATION ================= 16.61/16.95 16.61/16.95 ====Alarm clock 119.56/120.04 Prover9 interrupted 119.56/120.04 EOF