0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s 0.13/0.33 % Computer : n027.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1440 0.13/0.33 % WCLimit : 180 0.13/0.33 % DateTime : Mon Jul 3 04:58:16 EDT 2023 0.13/0.33 % CPUTime : 5.95/6.22 ============================== Prover9 =============================== 5.95/6.22 Prover9 (32) version 2009-11A, November 2009. 5.95/6.22 Process 30623 was started by sandbox2 on n027.cluster.edu, 5.95/6.22 Mon Jul 3 04:58:17 2023 5.95/6.22 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1440 -f /tmp/Prover9_30468_n027.cluster.edu". 5.95/6.22 ============================== end of head =========================== 5.95/6.22 5.95/6.22 ============================== INPUT ================================= 5.95/6.22 5.95/6.22 % Reading from file /tmp/Prover9_30468_n027.cluster.edu 5.95/6.22 5.95/6.22 set(prolog_style_variables). 5.95/6.22 set(auto2). 5.95/6.22 % set(auto2) -> set(auto). 5.95/6.22 % set(auto) -> set(auto_inference). 5.95/6.22 % set(auto) -> set(auto_setup). 5.95/6.22 % set(auto_setup) -> set(predicate_elim). 5.95/6.22 % set(auto_setup) -> assign(eq_defs, unfold). 5.95/6.22 % set(auto) -> set(auto_limits). 5.95/6.22 % set(auto_limits) -> assign(max_weight, "100.000"). 5.95/6.22 % set(auto_limits) -> assign(sos_limit, 20000). 5.95/6.22 % set(auto) -> set(auto_denials). 5.95/6.22 % set(auto) -> set(auto_process). 5.95/6.22 % set(auto2) -> assign(new_constants, 1). 5.95/6.22 % set(auto2) -> assign(fold_denial_max, 3). 5.95/6.22 % set(auto2) -> assign(max_weight, "200.000"). 5.95/6.22 % set(auto2) -> assign(max_hours, 1). 5.95/6.22 % assign(max_hours, 1) -> assign(max_seconds, 3600). 5.95/6.22 % set(auto2) -> assign(max_seconds, 0). 5.95/6.22 % set(auto2) -> assign(max_minutes, 5). 5.95/6.22 % assign(max_minutes, 5) -> assign(max_seconds, 300). 5.95/6.22 % set(auto2) -> set(sort_initial_sos). 5.95/6.22 % set(auto2) -> assign(sos_limit, -1). 5.95/6.22 % set(auto2) -> assign(lrs_ticks, 3000). 5.95/6.22 % set(auto2) -> assign(max_megs, 400). 5.95/6.22 % set(auto2) -> assign(stats, some). 5.95/6.22 % set(auto2) -> clear(echo_input). 5.95/6.22 % set(auto2) -> set(quiet). 5.95/6.22 % set(auto2) -> clear(print_initial_clauses). 5.95/6.22 % set(auto2) -> clear(print_given). 5.95/6.22 assign(lrs_ticks,-1). 5.95/6.22 assign(sos_limit,10000). 5.95/6.22 assign(order,kbo). 5.95/6.22 set(lex_order_vars). 5.95/6.22 clear(print_given). 5.95/6.22 5.95/6.22 % formulas(sos). % not echoed (2 formulas) 5.95/6.22 5.95/6.22 ============================== end of input ========================== 5.95/6.22 5.95/6.22 % From the command line: assign(max_seconds, 1440). 5.95/6.22 5.95/6.22 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 5.95/6.22 5.95/6.22 % Formulas that are not ordinary clauses: 5.95/6.22 1 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 5.95/6.22 2 --(exists X -(-(all Y (-r1(X,Y) | -p5(Y))) & (-(all Y (-r1(X,Y) | p2(Y) | -(all X ((all Y (p2(Y) | -r1(X,Y))) | -p2(X) | -r1(Y,X))))) | (all Y (-r1(X,Y) | p2(Y)))) | -(all Y (-r1(X,Y) | -(all X (-p3(X) | (all Y (p3(Y) | -r1(X,Y))) | -r1(Y,X))) | p3(Y))) | -((-(all Y (-r1(X,Y) | p3(Y) | (all X (p3(X) | p1(X) | (all Y -r1(X,Y)) | p2(X) | p4(X) | -r1(Y,X))) | -(all X (-r1(Y,X) | (all Y (p3(Y) | (all X (p4(X) | p3(X) | p1(X) | (all Y -r1(X,Y)) | p2(X) | -r1(Y,X))) | p1(Y) | p2(Y) | -r1(X,Y))) | -(p1(X) | (all Y (p3(Y) | p2(Y) | (all X -r1(Y,X)) | p1(Y) | p4(Y) | -r1(X,Y))) | p2(X) | p3(X)))) | p1(Y) | p2(Y))) | (all Y (-r1(X,Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | p3(Y) | p4(Y))) | p1(X) | p2(X) | p3(X)) & (p2(X) | p1(X) | (all Y (p3(Y) | p1(Y) | (all X -r1(Y,X)) | p2(Y) | p4(Y) | -r1(X,Y))) | -(all Y (p2(Y) | -(all X (-(p2(X) | p1(X) | (all Y (-r1(X,Y) | p1(Y) | (all X -r1(Y,X)) | p2(Y) | p3(Y) | p4(Y)))) | (all Y (-r1(X,Y) | p2(Y) | (all X (p3(X) | p1(X) | (all Y -r1(X,Y)) | p2(X) | p4(X) | -r1(Y,X))) | p1(Y))) | -r1(Y,X))) | (all X (-r1(Y,X) | p2(X) | p1(X) | (all Y -r1(X,Y)) | p3(X) | p4(X))) | p1(Y) | -r1(X,Y)))) & (p4(X) | p2(X) | p1(X) | (all Y -r1(X,Y)) | -(all Y (-r1(X,Y) | p3(Y) | p2(Y) | -(all X ((all Y (p4(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p3(Y) | -r1(X,Y))) | -(p1(X) | (all Y -r1(X,Y)) | p2(X) | p3(X) | p4(X)) | -r1(Y,X))) | (all X -r1(Y,X)) | p1(Y) | p4(Y))) | p3(X)) & (all Y (-r1(X,Y) | -(all X (p2(X) | -(all Y (-r1(X,Y) | (all X (p2(X) | -r1(Y,X))) | -p2(Y))) | -r1(Y,X))) | p2(Y))) & ((all Y -r1(X,Y)) | -(all Y ((all X -r1(Y,X)) | -(all X (-r1(Y,X) | (all Y ((all X -r1(Y,X)) | p1(Y) | -r1(X,Y))) | -(p1(X) | (all Y -r1(X,Y))))) | p1(Y) | -r1(X,Y))) | p1(X)) & ((all Y -r1(X,Y)) | -(all Y (-r1(X,Y) | p1(Y) | -(all X ((all Y (p2(Y) | p1(Y) | (all X -r1(Y,X)) | -r1(X,Y))) | -(p1(X) | (all Y -r1(X,Y)) | p2(X)) | -r1(Y,X))) | (all X -r1(Y,X)) | p2(Y))) | p1(X) | p2(X)) & (p2(X) | p1(X) | (all Y -r1(X,Y)) | -(all Y (p2(Y) | -(all X (-(p2(X) | (all Y -r1(X,Y)) | p1(X) | p3(X)) | (all Y (-r1(X,Y) | p1(Y) | (all X -r1(Y,X)) | p2(Y) | p3(Y))) | -r1(Y,X))) | (all X -r1(Y,X)) | p1(Y) | p3(Y) | -r1(X,Y))) | p3(X)) & (p1(X) | -(all Y (p1(Y) | (all X (p3(X) | p2(X) | p1(X) | (all Y -r1(X,Y)) | p4(X) | -r1(Y,X))) | -(all X (-r1(Y,X) | -(p1(X) | (all Y (p4(Y) | p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | -r1(X,Y)))) | (all Y (p1(Y) | (all X (-r1(Y,X) | (all Y -r1(X,Y)) | p1(X) | p2(X) | p3(X) | p4(X))) | -r1(X,Y))))) | -r1(X,Y))) | (all Y (-r1(X,Y) | p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p4(Y)))) & (p2(X) | (all Y (-r1(X,Y) | p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p4(Y))) | -(all Y (-r1(X,Y) | p3(Y) | -(all X (-r1(Y,X) | -(p4(X) | p3(X) | (all Y (-r1(X,Y) | p3(Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | p4(Y))) | p1(X) | p2(X)) | (all Y (p4(Y) | (all X (p4(X) | p3(X) | p2(X) | (all Y -r1(X,Y)) | p1(X) | -r1(Y,X))) | p1(Y) | p2(Y) | p3(Y) | -r1(X,Y))))) | (all X (p4(X) | p2(X) | (all Y -r1(X,Y)) | p1(X) | p3(X) | -r1(Y,X))) | p1(Y) | p2(Y) | p4(Y))) | p1(X) | p3(X) | p4(X)) & (p1(X) | -(all Y ((all X (p4(X) | p3(X) | (all Y (-r1(X,Y) | p3(Y) | p2(Y) | (all X -r1(Y,X)) | p1(Y) | p4(Y))) | p1(X) | p2(X) | -r1(Y,X))) | -(all X (-r1(Y,X) | -((all Y (p3(Y) | (all X (p3(X) | (all Y -r1(X,Y)) | p1(X) | p2(X) | p4(X) | -r1(Y,X))) | p1(Y) | p2(Y) | p4(Y) | -r1(X,Y))) | p1(X)) | (all Y ((all X (p2(X) | p1(X) | (all Y (p4(Y) | p3(Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | -r1(X,Y))) | p3(X) | p4(X) | -r1(Y,X))) | p1(Y) | -r1(X,Y))))) | p1(Y) | -r1(X,Y))) | (all Y (-r1(X,Y) | p4(Y) | p3(Y) | p2(Y) | (all X (-r1(Y,X) | p3(X) | p1(X) | (all Y -r1(X,Y)) | p2(X) | p4(X))) | p1(Y)))) & (((all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X) | -(all Y (-r1(X,Y) | -p2(Y) | (all X (-r1(Y,X) | p2(X))))))))) | -(all Y (p2(Y) | -(all X (-r1(Y,X) | -p2(X) | (all Y (-r1(X,Y) | p2(Y))))) | -r1(X,Y)))) & (p2(X) | -(all Y (-r1(X,Y) | (all X (p2(X) | -r1(Y,X))) | -p2(Y)))) | -(all Y (-r1(X,Y) | (-(all X (-(all Y ((all X (-r1(Y,X) | p2(X))) | -p2(Y) | -r1(X,Y))) | p2(X) | -r1(Y,X))) | (all X (-r1(Y,X) | (all Y (-(all X ((all Y (p2(Y) | -r1(X,Y))) | -p2(X) | -r1(Y,X))) | p2(Y) | -r1(X,Y)))))) & (p2(Y) | -(all X ((all Y (p2(Y) | -r1(X,Y))) | -p2(X) | -r1(Y,X)))) | -(all X (-((p2(X) | -(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | -p2(Y)))) & (-(all Y (p2(Y) | -(all X ((all Y (-r1(X,Y) | p2(Y))) | -p2(X) | -r1(Y,X))) | -r1(X,Y))) | (all Y ((all X (-(all Y (-r1(X,Y) | (all X (-r1(Y,X) | p2(X))) | -p2(Y))) | p2(X) | -r1(Y,X))) | -r1(X,Y))))) | (all Y (-r1(X,Y) | (-(all X (-r1(Y,X) | (all Y (p2(Y) | -r1(X,Y))) | -p2(X))) | p2(Y)) & (-(all X (-r1(Y,X) | p2(X) | -(all Y (-p2(Y) | (all X (p2(X) | -r1(Y,X))) | -r1(X,Y))))) | (all X ((all Y (-r1(X,Y) | -(all X (-r1(Y,X) | -p2(X) | (all Y (p2(Y) | -r1(X,Y))))) | p2(Y))) | -r1(Y,X)))))) | -r1(Y,X))))))) | -(all Y (p1(Y) | -(all X ((all Y (-r1(X,Y) | p1(Y))) | -p1(X) | -r1(Y,X))) | -r1(X,Y))) | (all Y (p1(Y) | -r1(X,Y))) | (-(all Y (p2(Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | -p2(X))) | -r1(X,Y))) | (all Y (p2(Y) | -r1(X,Y)))) & -(all Y (-r1(X,Y) | -(all X (-p5(X) | -r1(Y,X))))) | (all Y (-r1(X,Y) | p3(Y))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 14.58/14.85 14.58/14.85 ============================== end of process non-clausal formulas === 14.58/14.85 14.58/14.85 ============================== PROCESS INITIAL CLAUSES =============== 14.58/14.85 14.58/14.85 ============================== PREDICATE ELIMINATION ================= 14.58/14.85 3 p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | p5(f38(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.85 4 -r1(c1,A) | -p5(A) | -r1(c1,B) | p2(B) | -p2(f2(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.85 5 -r1(c1,A) | -p5(A) | -r1(c1,B) | p2(B) | r1(f1(B),f2(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.85 6 -r1(c1,A) | -p5(A) | -r1(c1,B) | p2(B) | p2(f1(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.85 7 -r1(c1,A) | -p5(A) | -r1(c1,B) | p2(B) | r1(B,f1(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 8 -r1(c1,A) | -p5(A) | r1(c1,c2) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 9 -r1(c1,A) | -p5(A) | -p2(c2) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | -p2(f2(C)). [resolve(3,e,4,b)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(f1(C),f2(C)). [resolve(3,e,5,b)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | p2(f1(C)). [resolve(3,e,6,b)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(C,f1(C)). [resolve(3,e,7,b)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | r1(c1,c2). [resolve(3,e,8,b)]. 14.58/14.87 Derived: p2(A) | r1(A,f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -p2(c2). [resolve(3,e,9,b)]. 14.58/14.87 10 p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | p5(f38(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | -p2(f2(C)). [resolve(10,e,4,b)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(f1(C),f2(C)). [resolve(10,e,5,b)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | p2(f1(C)). [resolve(10,e,6,b)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(C,f1(C)). [resolve(10,e,7,b)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | r1(c1,c2). [resolve(10,e,8,b)]. 14.58/14.87 Derived: p2(A) | r1(f36(A),f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -p2(c2). [resolve(10,e,9,b)]. 14.58/14.87 11 p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | p5(f38(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | -p2(f2(C)). [resolve(11,e,4,b)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(f1(C),f2(C)). [resolve(11,e,5,b)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | p2(f1(C)). [resolve(11,e,6,b)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(C,f1(C)). [resolve(11,e,7,b)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | r1(c1,c2). [resolve(11,e,8,b)]. 14.58/14.87 Derived: p2(A) | -p2(f37(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -p2(c2). [resolve(11,e,9,b)]. 14.58/14.87 12 p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | p5(f38(B)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | -p2(f2(C)). [resolve(12,e,4,b)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(f1(C),f2(C)). [resolve(12,e,5,b)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | p2(f1(C)). [resolve(12,e,6,b)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -r1(c1,C) | p2(C) | r1(C,f1(C)). [resolve(12,e,7,b)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | r1(c1,c2). [resolve(12,e,8,b)]. 14.58/14.87 Derived: p2(A) | p2(f36(A)) | -r1(c1,A) | -r1(c1,B) | -r1(c1,f38(B)) | -p2(c2). [resolve(12,e,9,b)]. 14.58/14.87 13 -p2(c34) | -r1(c1,A) | p5(f38(A)) # label(main) # label(negated_conjecture). [clausify(2)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(c1,f38(A)) | -r1(c1,B) | p2(B) | -p2(f2(B)). [resolve(13,c,4,b)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(c1,f38(A)) | -r1(c1,B) | p2(B) | r1(f1(B),f2(B)). [resolve(13,c,5,b)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(c1,f38(A)) | -r1(c1,B) | p2(B) | p2(f1(B)). [resolve(13,c,6,b)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(c1,f38(A)) | -r1(c1,B) | p2(B) | r1(B,f1(B)). [resolve(13,c,7,b)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(c1,f38(A)) | r1(c1,c2). [resolve(13,c,8,b)]. 14.58/14.87 Derived: -p2(c34) | -r1(c1,A) | -r1(Alarm clock 179.60/180.09 Prover9 interrupted 179.60/180.09 EOF