0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : tptp2X_and_run_prover9 %d %s 0.14/0.35 % Computer : n006.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 1200 0.14/0.35 % DateTime : Tue Jul 13 10:47:40 EDT 2021 0.14/0.36 % CPUTime : 0.49/1.06 ============================== Prover9 =============================== 0.49/1.06 Prover9 (32) version 2009-11A, November 2009. 0.49/1.06 Process 22470 was started by sandbox2 on n006.cluster.edu, 0.49/1.06 Tue Jul 13 10:47:41 2021 0.49/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 1200 -f /tmp/Prover9_22316_n006.cluster.edu". 0.49/1.06 ============================== end of head =========================== 0.49/1.06 0.49/1.06 ============================== INPUT ================================= 0.49/1.06 0.49/1.06 % Reading from file /tmp/Prover9_22316_n006.cluster.edu 0.49/1.06 0.49/1.06 set(prolog_style_variables). 0.49/1.06 set(auto2). 0.49/1.06 % set(auto2) -> set(auto). 0.49/1.06 % set(auto) -> set(auto_inference). 0.49/1.06 % set(auto) -> set(auto_setup). 0.49/1.06 % set(auto_setup) -> set(predicate_elim). 0.49/1.06 % set(auto_setup) -> assign(eq_defs, unfold). 0.49/1.06 % set(auto) -> set(auto_limits). 0.49/1.06 % set(auto_limits) -> assign(max_weight, "100.000"). 0.49/1.06 % set(auto_limits) -> assign(sos_limit, 20000). 0.49/1.06 % set(auto) -> set(auto_denials). 0.49/1.06 % set(auto) -> set(auto_process). 0.49/1.06 % set(auto2) -> assign(new_constants, 1). 0.49/1.06 % set(auto2) -> assign(fold_denial_max, 3). 0.49/1.06 % set(auto2) -> assign(max_weight, "200.000"). 0.49/1.06 % set(auto2) -> assign(max_hours, 1). 0.49/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.49/1.06 % set(auto2) -> assign(max_seconds, 0). 0.49/1.06 % set(auto2) -> assign(max_minutes, 5). 0.49/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.49/1.06 % set(auto2) -> set(sort_initial_sos). 0.49/1.06 % set(auto2) -> assign(sos_limit, -1). 0.49/1.06 % set(auto2) -> assign(lrs_ticks, 3000). 0.49/1.06 % set(auto2) -> assign(max_megs, 400). 0.49/1.06 % set(auto2) -> assign(stats, some). 0.49/1.06 % set(auto2) -> clear(echo_input). 0.49/1.06 % set(auto2) -> set(quiet). 0.49/1.06 % set(auto2) -> clear(print_initial_clauses). 0.49/1.06 % set(auto2) -> clear(print_given). 0.49/1.06 assign(lrs_ticks,-1). 0.49/1.06 assign(sos_limit,10000). 0.49/1.06 assign(order,kbo). 0.49/1.06 set(lex_order_vars). 0.49/1.06 clear(print_given). 0.49/1.06 0.49/1.06 % formulas(sos). % not echoed (1 formulas) 0.49/1.06 0.49/1.06 ============================== end of input ========================== 0.49/1.06 0.49/1.06 % From the command line: assign(max_seconds, 1200). 0.49/1.06 0.49/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.49/1.06 0.49/1.06 % Formulas that are not ordinary clauses: 0.49/1.06 1 -((exists X all E exists N all W (big_s(N,W) -> big_d(W,X,E))) & (all E exists D all A all B (big_d(A,B,D) -> (all Y all Z (big_f(B,Z) & big_f(A,Y) -> big_d(Y,Z,E))))) & (all X exists Y big_f(X,Y)) -> (exists Y all E exists M all W (big_s(M,W) -> (all Z (big_f(W,Z) -> big_d(Z,Y,E)))))) # label(x2138) # label(negated_conjecture) # label(non_clause). [assumption]. 0.49/1.06 0.49/1.06 ============================== end of process non-clausal formulas === 0.49/1.06 0.49/1.06 ============================== PROCESS INITIAL CLAUSES =============== 0.49/1.06 0.49/1.06 ============================== PREDICATE ELIMINATION ================= 0.49/1.06 2 -big_s(f1(A),B) | big_d(B,c1,A) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 3 big_s(A,f5(B,A)) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 Derived: big_d(f5(A,f1(B)),c1,B). [resolve(2,a,3,a)]. 0.49/1.06 0.49/1.06 ============================== end predicate elimination ============= 0.49/1.06 0.49/1.06 Auto_denials: 0.49/1.06 % copying label x2138 to answer in negative clause 0.49/1.06 0.49/1.06 Term ordering decisions: 0.49/1.06 Function symbol KB weights: c1=1. f5=1. f6=1. f1=1. f2=1. f3=1. f4=1. 0.49/1.06 0.49/1.06 ============================== end of process initial clauses ======== 0.49/1.06 0.49/1.06 ============================== CLAUSES FOR SEARCH ==================== 0.49/1.06 0.49/1.06 ============================== end of clauses for search ============= 0.49/1.06 0.49/1.06 ============================== SEARCH ================================ 0.49/1.06 0.49/1.06 % Starting search at 0.01 seconds. 0.49/1.06 0.49/1.06 ============================== PROOF ================================= 0.49/1.06 % SZS status Theorem 0.49/1.06 % SZS output start Refutation 0.49/1.06 0.49/1.06 % Proof 1 at 0.01 (+ 0.00) seconds: x2138. 0.49/1.06 % Length of proof is 10. 0.49/1.06 % Level of proof is 4. 0.49/1.06 % Maximum clause weight is 15.000. 0.49/1.06 % Given clauses 5. 0.49/1.06 0.49/1.06 1 -((exists X all E exists N all W (big_s(N,W) -> big_d(W,X,E))) & (all E exists D all A all B (big_d(A,B,D) -> (all Y all Z (big_f(B,Z) & big_f(A,Y) -> big_d(Y,Z,E))))) & (all X exists Y big_f(X,Y)) -> (exists Y all E exists M all W (big_s(M,W) -> (all Z (big_f(W,Z) -> big_d(Z,Y,E)))))) # label(x2138) # label(negated_conjecture) # label(non_clause). [assumption]. 0.49/1.06 2 -big_s(f1(A),B) | big_d(B,c1,A) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 3 big_s(A,f5(B,A)) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 4 big_f(A,f3(A)) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 5 big_f(f5(A,B),f6(A,B)) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 6 -big_d(f6(A,B),A,f4(A)) # label(x2138) # label(negated_conjecture) # answer(x2138). [clausify(1)]. 0.49/1.06 7 -big_d(A,B,f2(C)) | -big_f(B,D) | -big_f(A,E) | big_d(E,D,C) # label(x2138) # label(negated_conjecture). [clausify(1)]. 0.49/1.06 8 big_d(f5(A,f1(B)),c1,B). [resolve(2,a,3,a)]. 0.49/1.06 9 big_d(f6(A,f1(f2(B))),f3(c1),B). [hyper(7,a,8,a,b,4,a,c,5,a)]. 0.49/1.06 10 $F # answer(x2138). [resolve(9,a,6,a)]. 0.49/1.06 0.49/1.06 % SZS output end Refutation 0.49/1.06 ============================== end of proof ========================== 0.49/1.06 0.49/1.06 ============================== STATISTICS ============================ 0.49/1.06 0.49/1.06 Given=5. Generated=6. Kept=6. proofs=1. 0.49/1.06 Usable=5. Sos=0. Demods=0. Limbo=0, Disabled=7. Hints=0. 0.49/1.06 Megabytes=0.04. 0.49/1.06 User_CPU=0.01, System_CPU=0.00, Wall_clock=0. 0.49/1.06 0.49/1.06 ============================== end of statistics ===================== 0.49/1.06 0.49/1.06 ============================== end of search ========================= 0.49/1.06 0.49/1.06 THEOREM PROVED 0.49/1.06 % SZS status Theorem 0.49/1.06 0.49/1.06 Exiting with 1 proof. 0.49/1.06 0.49/1.06 Process 22470 exit (max_proofs) Tue Jul 13 10:47:41 2021 0.49/1.06 Prover9 interrupted 0.49/1.06 EOF