0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n011.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Mon Jul 3 05:41:54 EDT 2023 0.12/0.34 % CPUTime : 22.99/23.27 ============================== Prover9 =============================== 22.99/23.27 Prover9 (32) version 2009-11A, November 2009. 22.99/23.27 Process 28925 was started by sandbox on n011.cluster.edu, 22.99/23.27 Mon Jul 3 05:41:55 2023 22.99/23.27 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_28772_n011.cluster.edu". 22.99/23.27 ============================== end of head =========================== 22.99/23.27 22.99/23.27 ============================== INPUT ================================= 22.99/23.27 22.99/23.27 % Reading from file /tmp/Prover9_28772_n011.cluster.edu 22.99/23.27 22.99/23.27 set(prolog_style_variables). 22.99/23.27 set(auto2). 22.99/23.27 % set(auto2) -> set(auto). 22.99/23.27 % set(auto) -> set(auto_inference). 22.99/23.27 % set(auto) -> set(auto_setup). 22.99/23.27 % set(auto_setup) -> set(predicate_elim). 22.99/23.27 % set(auto_setup) -> assign(eq_defs, unfold). 22.99/23.27 % set(auto) -> set(auto_limits). 22.99/23.27 % set(auto_limits) -> assign(max_weight, "100.000"). 22.99/23.27 % set(auto_limits) -> assign(sos_limit, 20000). 22.99/23.27 % set(auto) -> set(auto_denials). 22.99/23.27 % set(auto) -> set(auto_process). 22.99/23.27 % set(auto2) -> assign(new_constants, 1). 22.99/23.27 % set(auto2) -> assign(fold_denial_max, 3). 22.99/23.27 % set(auto2) -> assign(max_weight, "200.000"). 22.99/23.27 % set(auto2) -> assign(max_hours, 1). 22.99/23.27 % assign(max_hours, 1) -> assign(max_seconds, 3600). 22.99/23.27 % set(auto2) -> assign(max_seconds, 0). 22.99/23.27 % set(auto2) -> assign(max_minutes, 5). 22.99/23.27 % assign(max_minutes, 5) -> assign(max_seconds, 300). 22.99/23.27 % set(auto2) -> set(sort_initial_sos). 22.99/23.27 % set(auto2) -> assign(sos_limit, -1). 22.99/23.27 % set(auto2) -> assign(lrs_ticks, 3000). 22.99/23.27 % set(auto2) -> assign(max_megs, 400). 22.99/23.27 % set(auto2) -> assign(stats, some). 22.99/23.27 % set(auto2) -> clear(echo_input). 22.99/23.27 % set(auto2) -> set(quiet). 22.99/23.27 % set(auto2) -> clear(print_initial_clauses). 22.99/23.27 % set(auto2) -> clear(print_given). 22.99/23.27 assign(lrs_ticks,-1). 22.99/23.27 assign(sos_limit,10000). 22.99/23.27 assign(order,kbo). 22.99/23.27 set(lex_order_vars). 22.99/23.27 clear(print_given). 22.99/23.27 22.99/23.27 % formulas(sos). % not echoed (2 formulas) 22.99/23.27 22.99/23.27 ============================== end of input ========================== 22.99/23.27 22.99/23.27 % From the command line: assign(max_seconds, 1440). 22.99/23.27 22.99/23.27 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 22.99/23.27 22.99/23.27 % Formulas that are not ordinary clauses: 22.99/23.27 1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 22.99/23.27 2 --(exists 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 (-(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 (-r1(Y,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 ((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 ((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 (-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 ((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 (-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 (-r1(X,Y) | -(all X (-(all Y ((all X ((all Y ((all X ((all Y ((all X (-r1(Y,X) | (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))))) | -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(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))) | -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))) | -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(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 (-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 (-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 (-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 (-r1(Y,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 (-r1(Y,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 (-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 ((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) | (all Y ((all X (-r1(Y,X) | (all Y (-p1(Y) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))))) & -p2(X)))) | -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))))))) | -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))))) | -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))))) | -r1(Y,X))))))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -r1(Y,X))))) | -r1(Y,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 ((all Y ((all 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 (-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 ((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 (-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 (-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 ((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 ((all X (-r1(Y,X) | -(-p1(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 (-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(Y,X))))))) | -r1(X,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))))) | -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))) | -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))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))) | -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 ((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 (-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 (-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 ((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 (-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 (-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 ((all X (-r1(Y,X) | -(-p1(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 ((all Y (-p2(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(Y,X))) | -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(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(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))) | -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 ((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 (-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 (-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 (-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 (-(all X ((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 ((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 (-(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 ((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(X,Y))) | -r1(Y,X))) | -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(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))))) | -(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 (-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 ((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 (-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) | (all Y (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(Y))))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) & -p2(X)))) | -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(X,Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -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 ((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 (-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 ((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 (-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 (-(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 (-p1(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))) & -p1(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))))) | -r1(X,Y))))))))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))) | -r1(X,Y))))))))))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -(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 ((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 (-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 (-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 (-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 ((all X ((all Y (-r1(X,Y) | -p2(Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,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(X,Y))))))) | -r1(Y,X))))))) | -r1(X,Y))) | -r1(Y,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))) | -(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 ((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 (-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 ((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 ((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(Y,X))) | -r1(X,Y))) & -p2(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))) | -r1(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))))) | -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 (-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 (-r1(Y,X) | (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 (-r1(X,Y) | (all X (-r1(Y,X) | (all Y ((all X ((all Y ((all X ((all Y ((all X (-(-p1(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 ((all Y (-p1(Y) | -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(Y,X))) | -r1(X,Y))))))))) | -r1(X,Y))) | -r1(Y,X))))) | -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))) | -(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 (-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 (-(-p2(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 (-r1(Y,X) | (all Y (-r1(X,Y) | (all 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(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 (-(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 (-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 (-(-p1(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 (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y (-r1(X,Y) | -p1(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(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 ((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 ((all 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))) & -p2(X)) | -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 (-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) | -p1(Y))) | -r1(Y,X))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) & -p2(X) | p1(X) | -p1(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) | -p2(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))) | -p1(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 (-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))))))) | -(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 (-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 (-p2(Y) | -r1(X,Y))) | -r1(Y,X))))))))))))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))) & -p1(X)) | -r1(Y,X))))))))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -(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) | -(-p1(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 (-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))) | -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 (-(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 (-r1(X,Y) | (all X ((all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y ((all X (-(-p1(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 ((all X (-r1(Y,X) | (all Y (-p2(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))) | -r1(X,Y))) | -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 (-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 (-(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 ((all X (-r1(Y,X) | (all Y ((all X (-r1(Y,X) | (all Y ((all X (-(-p1(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 (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-p2(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(X,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(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 (-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 ((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 (-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) | (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 (-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 ((all X (-(-p1(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 (-p2(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(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(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))) | -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 (-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 ((all 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 (-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 ((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 ((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 (-(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 (-p1(Y) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) & -p2(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))))) | -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(Y,X))) | -r1(X,Y))))))))))) | -r1(Y,X))))))) | -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 (-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 ((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 (-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) | (all Y ((all 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 (-r1(X,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 ((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 (-r1(X,Y) | (all X ((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))) & -p1(X)) | -r1(Y,X))))) | -r1(Y,X))) | -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))) | -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(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(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 (-(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 ((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 (-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 ((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 (-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 (-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 (-r1(X,Y) | (all X (-r1(Y,X) | -(-p2(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 ((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(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(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(Y,X))) | -r1(X,Y))))))))))) | -r1(Y,X))) | -r1(X,Y))))))) | -r1(Y,X))) | -r1(X,Y))) | -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 (-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 (-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 (-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 ((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 (-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 ((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 (-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 (-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 (-r1(X,Y) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X ((all Y ((all X ((all Y (-r1(X,Y) | -p2(Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))))))))) | -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(Y,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(Y,X))) | -r1(X,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))) | -r1(X,Y))))) | -r1(X,Y))) | -(all 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 ((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 (-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 (-(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 (-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 (-(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) | (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 (-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 (-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) | (all X ((all Y ((all X (-r1(Y,X) | -(-p1(X) & -(all 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) | (all X ((all Y (-p2(Y) | -r1(X,Y))) | -r1(Y,X))))))))) | -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(X,Y))) | -r1(Y,X))))))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -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))) | -r1(Y,X))))))) | -r1(X,Y))))))))) | -r1(X,Y))))))))) | -r1(X,Y))))))))))) | -r1(Y,X))))))))) | -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))))) | -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 (-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 (-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) | (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 (-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 ((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 ((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 ((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 ((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 (-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 (-r1(X,Y) | -p1(Y))) | -r1(Y,X))) | -r1(X,Y))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))) & -p1(X)) | -r1(Y,X))) | -r1(X,Y))))) | -r1(X,Y))))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,Y))))) | -r1(X,Y))))) | -r1(X,Y))) | -r1(Y,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(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))) | -r1(Y,X))))))) | -r1(X,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))) | -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 (-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 (-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 (-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 ((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) | (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 (-(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 (-(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) | (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 (-r1(Y,X) | -(-p2(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 ((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))))))))) | -r1(X,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))) | -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(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))))))) | -r1(Y,X))) | -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(Y,X))))) | -r1(Y,X))))))))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 22.99/23.28 22.99/23.28 ============================== end of process non-clausal formulas === 22.99/23.28 22.99/23.28 ============================== PROCESS INITIAL CLAUSES =============== 22.99/23.28 22.99/23.28 ============================== PREDICATE ELIMINATION ================= 22.99/23.28 3 -r1(c1,A) | -r1(A,B) | -r1(B,C) | -r1(D,E) | -r1(E,F) | -r1(V6,V7) | -r1(V8,V9) | -r1(V10,V11) | -r1(V11,V12) | -r1(V13,V14) | -r1(V15,V16) | -r1(f28(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12,V13,V14,V18,V15,V16,V19,V20,V21),V22) | -r1(V22,V23) | -r1(V23,V24) | -r1(f29(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12,V13,V14,V18,V15,V16,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29),V30) | -r1(V31,V32) | -r1(V33,V34) | -r1(V35,V36) | -r1(f30(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12,V13,V14,V18,V15,V16,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37),V38) | -r1(V38,V39) | -r1(V39,V40) | -r1(V40,V41) | -r1(V41,V42) | -r1(V43,V44) | -r1(f31(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12,V13,V14,V18,V15,V16,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V45,V43,V44),V46) | -r1(V47,V48) | -r1(V49,V50) | p1(V50) | -r1(V50,V51) | -r1(f32(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12,V13,V14,V18,V15,V16,V19,V20,V21,V22,V23,V24,V25,V26,V27,V28,V29,V30,V31,V32,V33,V34,V35,V36,V37,V38,V39,V40,V41,V42,V45,V43,V44,V46,V52,V47,V48,V53,V54,V49,V50,V51),V55) | -r1(V56,V57) | -p2(V58) | -r1(V59,V58) | -r1(V57,V59) | -r1(V60,V56) | -r1(V61,V60) | -r1(V62,V61) | -r1(V63,V62) | -r1(V55,V63) | -r1(V54,V49) | -r1(V53,V54) | -r1(V48,V53) | -r1(V52,V47) | -r1(V46,V52) | -r1(V45,V43) | -r1(V42,V45) | -r1(V36,V37) | -r1(V34,V35) | -r1(V32,V33) | -r1(V30,V31) | -r1(V28,V29) | -r1(V27,V28) | -r1(V26,V27) | -r1(V25,V26) | -r1(V24,V25) | -r1(V20,V21) | -r1(V19,V20) | -r1(V16,V19) | -r1(V18,V15) | -r1(V14,V18) | -r1(f27(A,B,C,D,E,F,V6,V7,V17,V8,V9,V10,V11,V12),V13) | -r1(V9,V10) | -r1(V17,V8) | -r1(V7,V17) | -r1(f26(A,B,C,D,E,F),V6) | -r1(C,D) # label(main) # label(negated_conjecture). [clausify(2)]. 22.99/23.28 4 -r1(c1,A) | -r1(B,C) | -r1(D,E) | -r1(E,F) | -r1(F,V6) | -r1(f10(A,B,C,D,E,F,V6),V7) | -r1(V8,V9) | -r1(V9,V10) | -r1(V10,V11) | -r1(V12,V13) | -r1(V14,V15) | -r1(V16,V17) | -r1(V17,V18) | -r1(V18,V19) | -r1(f12(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21,V22),V23) | -r1(V23,V24) | -r1(V25,V26) | -r1(V27,V28) | -r1(V28,V29) | -r1(V30,V31) | -r1(V31,V32) | -r1(V33,V34) | -r1(V34,V35) | -r1(V36,V37) | -r1(V38,V39) | -r1(V39,V40) | -r1(f16(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21,V22,V23,V24,V41,V42,V43,V44,V25,V26,V27,V28,V29,V45,V46,V47,V48,V49,V30,V31,V32,V33,V34,V35,V50,V51,V36,V37,V52,V53,V54,V38,V39,V40),V55) | -r1(V56,V57) | -r1(V57,V58) | -r1(V58,V59) | -r1(V59,V60) | -r1(V61,V62) | -r1(V62,V63) | r1(V63,f17(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21, 22.99/23.28 Fatal error: renum_vars_recurse: too many variables 22.99/23.28 22.99/23.28 V22,V23,V24,V41,V42,V43,V44,V25,V26,V27,V28,V29,V45,V46,V47,V48,V49,V30,V31,V32,V33,V34,V35,V50,V51,V36,V37,V52,V53,V54,V38,V39,V40,V55,V56,V57,V58,V59,V60,V61,V62,V63)) | p2(V62) | -r1(V60,V61) | -r1(V55,V56) | -r1(V54,V38) | -r1(V53,V54) | -r1(V52,V53) | -r1(V37,V52) | -r1(f15(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21,V22,V23,V24,V41,V42,V43,V44,V25,V26,V27,V28,V29,V45,V46,V47,V48,V49,V30,V31,V32,V33,V34,V35,V50,V51),V36) | -r1(V50,V51) | -r1(V35,V50) | -r1(V32,V33) | -r1(f14(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21,V22,V23,V24,V41,V42,V43,V44,V25,V26,V27,V28,V29,V45,V46,V47,V48,V49),V30) | -r1(V48,V49) | -r1(V47,V48) | -r1(V46,V47) | -r1(V45,V46) | -r1(V29,V45) | -r1(f13(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13,V14,V15,V16,V17,V18,V19,V21,V22,V23,V24,V41,V42,V43,V44,V25,V26),V27) | -r1(V44,V25) | -r1(V43,V44) | -r1(V42,V43) | -r1(V41,V42) | -r1(V24,V41) | -r1(V21,V22) | -r1(V19,V21) | -r1(V15,V16) | -r1(f11(A,B,C,D,E,F,V6,V7,V20,V8,V9,V10,V11,V12,V13),V14) | -r1(V11,V12) | -r1(V20,V8) | -r1(V7,V20) | -r1(C,D) | -r1(A,B) # label(main) # label(negated_conjecture). [clausify(2)]. 22.99/23.28 22.99/23.28 Fatal error: renum_vars_recurse: too many variables 22.99/23.28 22.99/23.28 Prover9 interrupted 22.99/23.28 EOF