0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.33 % Computer : n007.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Mon Jul 3 04:54:57 EDT 2023 0.12/0.34 % CPUTime : 12.63/12.93 ============================== Prover9 =============================== 12.63/12.93 Prover9 (32) version 2009-11A, November 2009. 12.63/12.93 Process 28832 was started by sandbox on n007.cluster.edu, 12.63/12.93 Mon Jul 3 04:54:58 2023 12.63/12.93 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_28645_n007.cluster.edu". 12.63/12.93 ============================== end of head =========================== 12.63/12.93 12.63/12.93 ============================== INPUT ================================= 12.63/12.93 12.63/12.93 % Reading from file /tmp/Prover9_28645_n007.cluster.edu 12.63/12.93 12.63/12.93 set(prolog_style_variables). 12.63/12.93 set(auto2). 12.63/12.93 % set(auto2) -> set(auto). 12.63/12.93 % set(auto) -> set(auto_inference). 12.63/12.93 % set(auto) -> set(auto_setup). 12.63/12.93 % set(auto_setup) -> set(predicate_elim). 12.63/12.93 % set(auto_setup) -> assign(eq_defs, unfold). 12.63/12.93 % set(auto) -> set(auto_limits). 12.63/12.93 % set(auto_limits) -> assign(max_weight, "100.000"). 12.63/12.93 % set(auto_limits) -> assign(sos_limit, 20000). 12.63/12.93 % set(auto) -> set(auto_denials). 12.63/12.93 % set(auto) -> set(auto_process). 12.63/12.93 % set(auto2) -> assign(new_constants, 1). 12.63/12.93 % set(auto2) -> assign(fold_denial_max, 3). 12.63/12.93 % set(auto2) -> assign(max_weight, "200.000"). 12.63/12.93 % set(auto2) -> assign(max_hours, 1). 12.63/12.93 % assign(max_hours, 1) -> assign(max_seconds, 3600). 12.63/12.93 % set(auto2) -> assign(max_seconds, 0). 12.63/12.93 % set(auto2) -> assign(max_minutes, 5). 12.63/12.93 % assign(max_minutes, 5) -> assign(max_seconds, 300). 12.63/12.93 % set(auto2) -> set(sort_initial_sos). 12.63/12.93 % set(auto2) -> assign(sos_limit, -1). 12.63/12.93 % set(auto2) -> assign(lrs_ticks, 3000). 12.63/12.93 % set(auto2) -> assign(max_megs, 400). 12.63/12.93 % set(auto2) -> assign(stats, some). 12.63/12.93 % set(auto2) -> clear(echo_input). 12.63/12.93 % set(auto2) -> set(quiet). 12.63/12.93 % set(auto2) -> clear(print_initial_clauses). 12.63/12.93 % set(auto2) -> clear(print_given). 12.63/12.93 assign(lrs_ticks,-1). 12.63/12.93 assign(sos_limit,10000). 12.63/12.93 assign(order,kbo). 12.63/12.93 set(lex_order_vars). 12.63/12.93 clear(print_given). 12.63/12.93 12.63/12.93 % formulas(sos). % not echoed (3 formulas) 12.63/12.93 12.63/12.93 ============================== end of input ========================== 12.63/12.93 12.63/12.93 % From the command line: assign(max_seconds, 1440). 12.63/12.93 12.63/12.93 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 12.63/12.93 12.63/12.93 % Formulas that are not ordinary clauses: 12.63/12.93 1 (all X all Y all Z (r1(Y,Z) & r1(X,Y) -> r1(X,Z))) # label(transitivity) # label(axiom) # label(non_clause). [assumption]. 12.63/12.93 2 (all X r1(X,X)) # label(reflexivity) # label(axiom) # label(non_clause). [assumption]. 12.63/12.93 3 --(exists X -((-(all Y (-r1(X,Y) | -(all X ((all Y (-r1(X,Y) | p2(Y))) | -p2(X) | -r1(Y,X))) | p2(Y))) | (all Y (-r1(X,Y) | p2(Y)))) & (all Y ((all X (-r1(Y,X) | -(all Y (-p5(Y) | -r1(X,Y))))) | p1(Y) | -r1(X,Y))) | (all Y (p3(Y) | -r1(X,Y))) | -((-(all Y (-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (-(all X (-r1(Y,X) | -(all Y (-p2(Y) | (all X (p2(X) | -r1(Y,X))) | -r1(X,Y))) | p2(X))) | (all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | -p2(X)))))))) & (p2(Y) | -(all X ((all Y (-r1(X,Y) | p2(Y))) | -p2(X) | -r1(Y,X)))))) | -(((all Y ((all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p2(Y) | (all X (-r1(Y,X) | p2(X))))) | p2(X))) | -r1(X,Y))) | -(all Y (-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | -p2(X))) | p2(Y) | -r1(X,Y)))) & (p2(X) | -(all Y (-r1(X,Y) | -p2(Y) | (all X (-r1(Y,X) | p2(X))))))))) | (p2(Y) | -(all X (-p2(X) | (all Y (p2(Y) | -r1(X,Y))) | -r1(Y,X)))) & (-(all X (p2(X) | -(all Y ((all X (-r1(Y,X) | p2(X))) | -p2(Y) | -r1(X,Y))) | -r1(Y,X))) | (all X ((all Y (-r1(X,Y) | p2(Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | -p2(X))))) | -r1(Y,X)))) | -r1(X,Y))) | ((all Y ((all X (-r1(Y,X) | -(all Y (-r1(X,Y) | -p2(Y) | (all X (p2(X) | -r1(Y,X))))) | p2(X))) | -r1(X,Y))) | -(all Y (-(all X (-r1(Y,X) | -p2(X) | (all Y (-r1(X,Y) | p2(Y))))) | p2(Y) | -r1(X,Y)))) & (p2(X) | -(all Y (-r1(X,Y) | -p2(Y) | (all X (-r1(Y,X) | p2(X))))))) & (p4(X) | p3(X) | p2(X) | p1(X) | (all Y (p3(Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | p4(Y) | -r1(X,Y))) | -(all Y (-r1(X,Y) | p3(Y) | (all X (p4(X) | (all Y -r1(X,Y)) | p1(X) | p2(X) | p3(X) | -r1(Y,X))) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X (p4(X) | p2(X) | p1(X) | (all Y -r1(X,Y)) | p3(X) | -r1(Y,X))) | p1(Y) | p2(Y) | p3(Y) | p4(Y))) | -(p1(X) | (all Y (-r1(X,Y) | p1(Y) | (all X -r1(Y,X)) | p2(Y) | p3(Y) | p4(Y))) | p2(X) | p3(X) | p4(X)))) | p1(Y) | p2(Y) | p4(Y)))) & (p2(X) | -(all Y (-(all X (-r1(Y,X) | -(p3(X) | (all Y (-r1(X,Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p3(Y) | p4(Y))) | p1(X) | p2(X)) | (all Y (p3(Y) | p2(Y) | (all X (-r1(Y,X) | p4(X) | p1(X) | (all Y -r1(X,Y)) | p2(X) | p3(X))) | p1(Y) | -r1(X,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 Y (-r1(X,Y) | p1(Y) | (all X -r1(Y,X)) | p2(Y) | p3(Y) | p4(Y))) | p1(X) | p3(X)) & (p2(X) | p1(X) | (all Y (-r1(X,Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p3(Y) | p4(Y))) | -(all Y (p2(Y) | (all X (p2(X) | p1(X) | (all Y -r1(X,Y)) | p3(X) | p4(X) | -r1(Y,X))) | -(all X (-r1(Y,X) | -(p2(X) | (all Y (p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p4(Y) | -r1(X,Y))) | p1(X)) | (all Y (p1(Y) | (all X (p2(X) | (all Y -r1(X,Y)) | p1(X) | p3(X) | p4(X) | -r1(Y,X))) | p2(Y) | -r1(X,Y))))) | p1(Y) | -r1(X,Y)))) & (-(all Y (p2(Y) | p1(Y) | (all X -r1(Y,X)) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y))) | -((all Y -r1(X,Y)) | p1(X) | p2(X)))) | -r1(X,Y))) | (all Y -r1(X,Y)) | p1(X) | p2(X)) & (all Y (p2(Y) | -(all X (-r1(Y,X) | p2(X) | -(all Y (-r1(X,Y) | (all X (p2(X) | -r1(Y,X))) | -p2(Y))))) | -r1(X,Y))) & (p1(X) | (all Y -r1(X,Y)) | -(all Y (p1(Y) | -(all X (-r1(Y,X) | -((all Y -r1(X,Y)) | p1(X)) | (all Y (-r1(X,Y) | p1(Y) | (all X -r1(Y,X)))))) | (all X -r1(Y,X)) | -r1(X,Y)))) & (p3(X) | (all Y -r1(X,Y)) | -(all Y (p3(Y) | (all X -r1(Y,X)) | -(all X (-r1(Y,X) | (all 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)))) | p1(Y) | p2(Y) | -r1(X,Y))) | p1(X) | p2(X)) & (p3(X) | p1(X) | -(all Y (p1(Y) | -(all X (-r1(Y,X) | -(p4(X) | p3(X) | (all Y -r1(X,Y)) | p1(X) | p2(X)) | (all Y (p4(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p3(Y) | -r1(X,Y))))) | (all X -r1(Y,X)) | p2(Y) | p3(Y) | p4(Y) | -r1(X,Y))) | (all Y -r1(X,Y)) | p2(X) | p4(X)) & (p1(X) | -(all Y (-r1(X,Y) | p1(Y) | (all X ((all Y -r1(X,Y)) | p1(X) | p2(X) | p3(X) | p4(X) | -r1(Y,X))) | -(all X (-(p1(X) | (all Y (-r1(X,Y) | p4(Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | p3(Y)))) | (all Y ((all X (-r1(Y,X) | p4(X) | p2(X) | p1(X) | (all Y -r1(X,Y)) | p3(X))) | p1(Y) | -r1(X,Y))) | -r1(Y,X))))) | (all Y (-r1(X,Y) | p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p4(Y)))) & (-(all Y (-(all X (-((all Y (p3(Y) | p1(Y) | (all X (p4(X) | (all Y -r1(X,Y)) | p1(X) | p2(X) | p3(X) | -r1(Y,X))) | p2(Y) | p4(Y) | -r1(X,Y))) | p1(X)) | (all Y ((all X (-r1(Y,X) | p4(X) | p3(X) | p2(X) | (all Y (-r1(X,Y) | p3(Y) | p2(Y) | p1(Y) | (all X -r1(Y,X)) | p4(Y))) | p1(X))) | p1(Y) | -r1(X,Y))) | -r1(Y,X))) | (all X (-r1(Y,X) | p4(X) | p3(X) | p2(X) | p1(X) | (all Y (p3(Y) | (all X -r1(Y,X)) | p1(Y) | p2(Y) | p4(Y) | -r1(X,Y))))) | p1(Y) | -r1(X,Y))) | (all Y (p4(Y) | p3(Y) | (all X (-r1(Y,X) | (all Y -r1(X,Y)) | p1(X) | p2(X) | p3(X) | p4(X))) | p1(Y) | p2(Y) | -r1(X,Y))) | p1(X))) | -(all Y (-r1(X,Y) | p1(Y) | -(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p1(Y))) | -p1(X))))) | (all Y (p1(Y) | -r1(X,Y))) | -(all Y (-(all X (-r1(Y,X) | -p5(X))) | -r1(X,Y))) & ((all Y (p2(Y) | -r1(X,Y))) | -(all Y (-(all X (-r1(Y,X) | (all Y (-r1(X,Y) | p2(Y))) | -p2(X))) | p2(Y) | -r1(X,Y)))) | -(all Y (-r1(X,Y) | p3(Y) | -(all X ((all Y (p3(Y) | -r1(X,Y))) | -p3(X) | -r1(Y,X))))))) # label(main) # label(negated_conjecture) # label(non_clause). [assumption]. 24.38/24.71 24.38/24.71 ============================== end of process non-clausal formulas === 24.38/24.71 24.38/24.71 ============================== PROCESS INITIAL CLAUSES =============== 24.38/24.71 24.38/24.71 ============================== PREDICATE ELIMINATION ================= 24.38/24.71 4 p5(f34(A)) | -r1(c1,A) | -p2(c37) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.71 5 -r1(c1,A) | r1(f1(A),f2(A)) | p2(A) | -p5(B) | -r1(c4,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.71 6 -r1(c1,A) | -p2(f2(A)) | p2(A) | -p5(B) | -r1(c4,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.71 7 -r1(c1,A) | p2(f1(A)) | p2(A) | -p5(B) | -r1(c4,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 8 -r1(c1,A) | r1(A,f1(A)) | p2(A) | -p5(B) | -r1(c4,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 9 r1(c1,c2) | -p5(A) | -r1(c4,A) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 10 -p2(c2) | -p5(A) | -r1(c4,A) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | -r1(c1,B) | r1(f1(B),f2(B)) | p2(B) | -r1(c4,f34(A)). [resolve(4,a,5,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | -r1(c1,B) | -p2(f2(B)) | p2(B) | -r1(c4,f34(A)). [resolve(4,a,6,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | -r1(c1,B) | p2(f1(B)) | p2(B) | -r1(c4,f34(A)). [resolve(4,a,7,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | -r1(c1,B) | r1(B,f1(B)) | p2(B) | -r1(c4,f34(A)). [resolve(4,a,8,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | r1(c1,c2) | -r1(c4,f34(A)). [resolve(4,a,9,b)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(c37) | -p2(c2) | -r1(c4,f34(A)). [resolve(4,a,10,b)]. 24.38/24.72 11 p5(f34(A)) | -r1(c1,A) | r1(c1,c37) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | -r1(c1,B) | r1(f1(B),f2(B)) | p2(B) | -r1(c4,f34(A)). [resolve(11,a,5,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | -r1(c1,B) | -p2(f2(B)) | p2(B) | -r1(c4,f34(A)). [resolve(11,a,6,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | -r1(c1,B) | p2(f1(B)) | p2(B) | -r1(c4,f34(A)). [resolve(11,a,7,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | -r1(c1,B) | r1(B,f1(B)) | p2(B) | -r1(c4,f34(A)). [resolve(11,a,8,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | r1(c1,c2) | -r1(c4,f34(A)). [resolve(11,a,9,b)]. 24.38/24.72 Derived: -r1(c1,A) | r1(c1,c37) | -p2(c2) | -r1(c4,f34(A)). [resolve(11,a,10,b)]. 24.38/24.72 12 p5(f34(A)) | -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(f1(C),f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(12,a,5,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | -p2(f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(12,a,6,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | p2(f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(12,a,7,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(C,f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(12,a,8,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | r1(c1,c2) | -r1(c4,f34(A)). [resolve(12,a,9,b)]. 24.38/24.72 Derived: -r1(c1,A) | r1(B,f35(B)) | p2(B) | -r1(c1,B) | -p2(c2) | -r1(c4,f34(A)). [resolve(12,a,10,b)]. 24.38/24.72 13 p5(f34(A)) | -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(f1(C),f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(13,a,5,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | -p2(f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(13,a,6,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | p2(f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(13,a,7,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(C,f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(13,a,8,d)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | r1(c1,c2) | -r1(c4,f34(A)). [resolve(13,a,9,b)]. 24.38/24.72 Derived: -r1(c1,A) | r1(f35(B),f36(B)) | p2(B) | -r1(c1,B) | -p2(c2) | -r1(c4,f34(A)). [resolve(13,a,10,b)]. 24.38/24.72 14 p5(f34(A)) | -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) # label(main) # label(negated_conjecture). [clausify(3)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(f1(C),f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(14,a,5,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | -p2(f2(C)) | p2(C) | -r1(c4,f34(A)). [resolve(14,a,6,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | p2(f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(14,a,7,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) | -r1(c1,C) | r1(C,f1(C)) | p2(C) | -r1(c4,f34(A)). [resolve(14,a,8,d)]. 24.38/24.72 Derived: -r1(c1,A) | -p2(f36(B)) | p2(B) | -r1(c1,B) | r1(c1,c2) | -r1(c4,f34(A)). [resolve(14,a,9,b)]. 24.38/24.72 Derived: -r1(c1,A) |Alarm clock 179.62/180.07 Prover9 interrupted 179.62/180.07 EOF