0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : tptp2X_and_run_prover9 %d %s 0.12/0.34 % Computer : n023.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 03:58:36 EDT 2023 0.12/0.34 % CPUTime : 0.77/1.04 ============================== Prover9 =============================== 0.77/1.04 Prover9 (32) version 2009-11A, November 2009. 0.77/1.04 Process 32718 was started by sandbox on n023.cluster.edu, 0.77/1.04 Mon Jul 3 03:58:37 2023 0.77/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1440 -f /tmp/Prover9_32312_n023.cluster.edu". 0.77/1.04 ============================== end of head =========================== 0.77/1.04 0.77/1.04 ============================== INPUT ================================= 0.77/1.04 0.77/1.04 % Reading from file /tmp/Prover9_32312_n023.cluster.edu 0.77/1.04 0.77/1.04 set(prolog_style_variables). 0.77/1.04 set(auto2). 0.77/1.04 % set(auto2) -> set(auto). 0.77/1.04 % set(auto) -> set(auto_inference). 0.77/1.04 % set(auto) -> set(auto_setup). 0.77/1.04 % set(auto_setup) -> set(predicate_elim). 0.77/1.04 % set(auto_setup) -> assign(eq_defs, unfold). 0.77/1.04 % set(auto) -> set(auto_limits). 0.77/1.04 % set(auto_limits) -> assign(max_weight, "100.000"). 0.77/1.04 % set(auto_limits) -> assign(sos_limit, 20000). 0.77/1.04 % set(auto) -> set(auto_denials). 0.77/1.04 % set(auto) -> set(auto_process). 0.77/1.04 % set(auto2) -> assign(new_constants, 1). 0.77/1.04 % set(auto2) -> assign(fold_denial_max, 3). 0.77/1.04 % set(auto2) -> assign(max_weight, "200.000"). 0.77/1.04 % set(auto2) -> assign(max_hours, 1). 0.77/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600). 0.77/1.04 % set(auto2) -> assign(max_seconds, 0). 0.77/1.04 % set(auto2) -> assign(max_minutes, 5). 0.77/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300). 0.77/1.04 % set(auto2) -> set(sort_initial_sos). 0.77/1.04 % set(auto2) -> assign(sos_limit, -1). 0.77/1.04 % set(auto2) -> assign(lrs_ticks, 3000). 0.77/1.04 % set(auto2) -> assign(max_megs, 400). 0.77/1.04 % set(auto2) -> assign(stats, some). 0.77/1.04 % set(auto2) -> clear(echo_input). 0.77/1.04 % set(auto2) -> set(quiet). 0.77/1.04 % set(auto2) -> clear(print_initial_clauses). 0.77/1.04 % set(auto2) -> clear(print_given). 0.77/1.04 assign(lrs_ticks,-1). 0.77/1.04 assign(sos_limit,10000). 0.77/1.04 assign(order,kbo). 0.77/1.04 set(lex_order_vars). 0.77/1.04 clear(print_given). 0.77/1.04 0.77/1.04 % formulas(sos). % not echoed (19 formulas) 0.77/1.04 0.77/1.04 ============================== end of input ========================== 0.77/1.04 0.77/1.04 % From the command line: assign(max_seconds, 1440). 0.77/1.04 0.77/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ========== 0.77/1.04 0.77/1.04 % Formulas that are not ordinary clauses: 0.77/1.04 1 (all X6 ((exists Y1 exists Y11 (r2(Y1,Y11) & id(X6,Y11))) | (exists Y19 (id(X6,Y19) & r1(Y19))))) # label(axiom_6a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 2 (all X7 all Y10 (-r2(X7,Y10) | (all Y20 (-r1(Y20) | -id(Y20,Y10))))) # label(axiom_7a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 3 (all X26 all X27 (r1(X27) & r1(X26) | -r1(X26) & -r1(X27) | -id(X26,X27))) # label(axiom_8) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 4 (all X1 all X8 exists Y4 ((exists Y7 (r3(X1,X8,Y7) & r2(Y7,Y4))) & (exists Y5 (id(Y5,Y4) & (exists Y15 (r2(X8,Y15) & r3(X1,Y15,Y5))))))) # label(axiom_1a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 5 (all X2 all X9 exists Y2 ((exists Y6 (r3(Y6,X2,Y2) & r4(X2,X9,Y6))) & (exists Y3 ((exists Y14 (r4(X2,Y14,Y3) & r2(X9,Y14))) & id(Y3,Y2))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 6 (all X13 all X14 exists Y22 all X15 (id(X15,Y22) & r3(X13,X14,X15) | -r3(X13,X14,X15) & -id(X15,Y22))) # label(axiom_3) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 7 (all X5 exists Y8 ((exists Y18 (r1(Y18) & id(Y8,Y18))) & (exists Y17 (r1(Y17) & r4(X5,Y17,Y8))))) # label(axiom_5a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 8 (all X32 all X33 all X34 all X35 all X36 all X37 (r3(X32,X33,X34) & r3(X35,X36,X37) | -r3(X32,X33,X34) & -r3(X35,X36,X37) | -id(X34,X37) | -id(X33,X36) | -id(X32,X35))) # label(axiom_10) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 9 (all X3 all X10 ((all Y12 ((all Y13 (-id(Y13,Y12) | -r2(X3,Y13))) | -r2(X10,Y12))) | id(X3,X10))) # label(axiom_3a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 10 (all X20 id(X20,X20)) # label(axiom_5) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 11 (all X11 exists Y21 all X12 (-r2(X11,X12) & -id(X12,Y21) | id(X12,Y21) & r2(X11,X12))) # label(axiom_2) # label(axiom) # label(non_clause). [assumption]. 0.77/1.04 12 (exists Y24 all X19 (r1(X19) & id(X19,Y24) | -r1(X19) & -id(X19,Y24))) # label(axiom_1) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 13 (all X4 exists Y9 (id(Y9,X4) & (exists Y16 (r1(Y16) & r3(X4,Y16,Y9))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 14 (all X38 all X39 all X40 all X41 all X42 all X43 (-id(X38,X41) | -id(X40,X43) | r4(X38,X39,X40) & r4(X41,X42,X43) | -r4(X41,X42,X43) & -r4(X38,X39,X40) | -id(X39,X42))) # label(axiom_11) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 15 (all X21 all X22 (-id(X21,X22) | id(X22,X21))) # label(axiom_6) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 16 (all X28 all X29 all X30 all X31 (-id(X29,X31) | r2(X30,X31) & r2(X28,X29) | -r2(X28,X29) & -r2(X30,X31) | -id(X28,X30))) # label(axiom_9) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 17 (all X23 all X24 all X25 (-id(X23,X24) | id(X23,X25) | -id(X24,X25))) # label(axiom_7) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 18 (all X16 all X17 exists Y23 all X18 (-id(X18,Y23) & -r4(X16,X17,X18) | r4(X16,X17,X18) & id(X18,Y23))) # label(axiom_4) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 19 -(exists Y1 ((exists Y3 ((exists Y6 (r1(Y6) & r2(Y6,Y3))) & id(Y1,Y3))) & (exists Y2 ((exists Y5 (r1(Y5) & r2(Y5,Y2))) & (exists Y4 (r3(Y2,Y4,Y1) & r1(Y4))))))) # label(onepluszeroidone) # label(negated_conjecture) # label(non_clause). [assumption]. 0.77/1.05 0.77/1.05 ============================== end of process non-clausal formulas === 0.77/1.05 0.77/1.05 ============================== PROCESS INITIAL CLAUSES =============== 0.77/1.05 0.77/1.05 ============================== PREDICATE ELIMINATION ================= 0.77/1.05 0.77/1.05 ============================== end predicate elimination ============= 0.77/1.05 0.77/1.05 Auto_denials: (non-Horn, no changes). 0.77/1.05 0.77/1.05 Term ordering decisions: 0.77/1.05 Function symbol KB weights: c1=1. f4=1. f5=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f19=1. f1=1. f2=1. f3=1. f13=1. f14=1. f15=1. f16=1. f17=1. f18=1. 0.77/1.05 0.77/1.05 ============================== end of process initial clauses ======== 0.77/1.05 0.77/1.05 ============================== CLAUSES FOR SEARCH ==================== 0.77/1.05 0.77/1.05 ============================== end of clauses for search ============= 0.77/1.05 0.77/1.05 ============================== SEARCH ================================ 0.77/1.05 0.77/1.05 % Starting search at 0.02 seconds. 0.77/1.05 0.77/1.05 ============================== PROOF ================================= 0.77/1.05 % SZS status Theorem 0.77/1.05 % SZS output start Refutation 0.77/1.05 0.77/1.05 % Proof 1 at 0.02 (+ 0.00) seconds. 0.77/1.05 % Length of proof is 9. 0.77/1.05 % Level of proof is 2. 0.77/1.05 % Maximum clause weight is 19.000. 0.77/1.05 % Given clauses 24. 0.77/1.05 0.77/1.05 5 (all X2 all X9 exists Y2 ((exists Y6 (r3(Y6,X2,Y2) & r4(X2,X9,Y6))) & (exists Y3 ((exists Y14 (r4(X2,Y14,Y3) & r2(X9,Y14))) & id(Y3,Y2))))) # label(axiom_2a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 13 (all X4 exists Y9 (id(Y9,X4) & (exists Y16 (r1(Y16) & r3(X4,Y16,Y9))))) # label(axiom_4a) # label(axiom) # label(non_clause). [assumption]. 0.77/1.05 19 -(exists Y1 ((exists Y3 ((exists Y6 (r1(Y6) & r2(Y6,Y3))) & id(Y1,Y3))) & (exists Y2 ((exists Y5 (r1(Y5) & r2(Y5,Y2))) & (exists Y4 (r3(Y2,Y4,Y1) & r1(Y4))))))) # label(onepluszeroidone) # label(negated_conjecture) # label(non_clause). [assumption]. 0.77/1.05 23 r1(f18(A)) # label(axiom_4a) # label(axiom). [clausify(13)]. 0.77/1.05 24 id(f17(A),A) # label(axiom_4a) # label(axiom). [clausify(13)]. 0.77/1.05 26 r2(A,f11(B,A)) # label(axiom_2a) # label(axiom). [clausify(5)]. 0.77/1.05 31 r3(A,f18(A),f17(A)) # label(axiom_4a) # label(axiom). [clausify(13)]. 0.77/1.05 43 -r1(A) | -r2(A,B) | -id(C,B) | -r1(D) | -r2(D,E) | -r3(E,F,C) | -r1(F) # label(onepluszeroidone) # label(negated_conjecture). [clausify(19)]. 0.77/1.05 114 $F. [ur(43,b,26,a,c,24,a,d,23,a,e,26,a,f,31,a,g,23,a),unit_del(a,23)]. 0.77/1.05 0.77/1.05 % SZS output end Refutation 0.77/1.05 ============================== end of proof ========================== 0.77/1.05 0.77/1.05 ============================== STATISTICS ============================ 0.77/1.05 0.77/1.05 Given=24. Generated=112. Kept=94. proofs=1. 0.77/1.05 Usable=24. Sos=67. Demods=0. Limbo=3, Disabled=43. Hints=0. 0.77/1.05 Megabytes=0.16. 0.77/1.05 User_CPU=0.02, System_CPU=0.00, Wall_clock=0. 0.77/1.05 0.77/1.05 ============================== end of statistics ===================== 0.77/1.05 0.77/1.05 ============================== end of search ========================= 0.77/1.05 0.77/1.05 THEOREM PROVED 0.77/1.05 % SZS status Theorem 0.77/1.05 0.77/1.05 Exiting with 1 proof. 0.77/1.05 0.77/1.05 Process 32718 exit (max_proofs) Mon Jul 3 03:58:37 2023 0.77/1.05 Prover9 interrupted 0.77/1.05 EOF